{"id":152,"date":"2021-07-23T11:55:49","date_gmt":"2021-07-23T06:25:49","guid":{"rendered":"http:\/\/mcq-questions.com\/?p=152"},"modified":"2022-03-02T10:23:23","modified_gmt":"2022-03-02T04:53:23","slug":"ncert-solutions-for-class-10-maths-chapter-15-hindi","status":"publish","type":"post","link":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths-chapter-15-hindi\/","title":{"rendered":"NCERT Solutions for Class 10 Maths Chapter 15 Probability (Hindi Medium)"},"content":{"rendered":"<h2>NCERT Solutions for Class 10 Maths Chapter 15 Probability (Hindi Medium)<\/h2>\n<p>These Solutions are part of <a href=\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths\/\">NCERT Solutions for Class 10 Maths in Hindi Medium<\/a>. Here we have given NCERT Solutions for Class 10 Maths Chapter 15 Probability.<\/p>\n<p><strong>Chapter 15. \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e<\/strong><\/p>\n<div>\n<p><span style=\"color: #0000ff;\"><strong>\u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e 15.1<\/strong><\/span><\/p>\n<p><strong>Ex 15.1 Class 10 \u0917\u0923\u093f\u0924 Q1. \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0915\u0925\u0928\u094b\u0902 \u0915\u094b \u092a\u0942\u0930\u093e \u0915\u0940\u091c\u093f\u090f :<\/strong><\/p>\n<p><strong>(i) \u0918\u091f\u0928\u093e E \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e + \u0918\u091f\u0928\u093e &#8216;E \u0928\u0939\u0940\u0902&#8217; \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e = &#8230;&#8230;&#8230;&#8230;\u0939\u0948 |<\/strong><\/p>\n<p><strong>(ii) \u0909\u0938 \u0918\u091f\u0928\u093e \u0915\u093f \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u091c\u094b \u0918\u091f\u093f\u0924 \u0928\u0939\u0940\u0902 \u0939\u094b \u0938\u0915\u0924\u0940 &#8230;&#8230;&#8230;\u0939\u0948 | \u0910\u0938\u0940 \u0918\u091f\u0928\u093e &#8230;&#8230;&#8230;\u0915\u0939\u0932\u093e\u0924\u0940 \u0939\u0948 |<\/strong><\/p>\n<p><strong>(iii) \u0909\u0938 \u0918\u091f\u0928\u093e \u0915\u093f \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u091c\u093f\u0938\u0915\u093e \u0918\u091f\u093f\u0924 \u0939\u094b\u0928\u093e \u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0939\u0948 &#8230;&#8230;&#8230;\u0939\u0948 | \u0910\u0938\u0940 \u0918\u091f\u0928\u093e &#8230;&#8230;&#8230;\u0915\u0939\u0932\u093e\u0924\u0940 \u0939\u0948 |<\/strong><\/p>\n<p><strong>(iv) \u0915\u093f\u0938\u0940 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u093f \u0938\u092d\u0940 \u092a\u094d\u0930\u093e\u0930\u0902\u092d\u093f\u0915 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e\u0913\u0902 \u0915\u093e \u092f\u094b\u0917&#8230;&#8230;..\u0939\u0948 |<\/strong><\/p>\n<p><strong>(v) \u0915\u093f\u0938\u0940 \u0918\u091f\u0928\u093e \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e&#8230;&#8230;..\u0938\u0947 \u092c\u095c\u0940 \u092f\u093e \u0909\u0938\u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u0940 \u0939\u0948 \u0924\u0925\u093e&#8230;&#8230;&#8230;\u0938\u0947 \u091b\u094b\u091f\u0940 \u092f\u093e \u0909\u0938\u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u0940 \u0939\u0948 |<\/strong><\/p>\n<p><strong>\u0909\u0924\u094d\u0924\u0930 :<\/strong><\/p>\n<p><strong>(i)<\/strong> \u0918\u091f\u0928\u093e E \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e + \u0918\u091f\u0928\u093e &#8216;E \u0928\u0939\u0940\u0902&#8217; \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e =\u00a0<u><strong>1<\/strong>\u00a0<\/u>\u0939\u0948 |<\/p>\n<p><strong>(ii)<\/strong> \u0909\u0938 \u0918\u091f\u0928\u093e \u0915\u093f \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u091c\u094b \u0918\u091f\u093f\u0924 \u0928\u0939\u0940\u0902 \u0939\u094b \u0938\u0915\u0924\u0940\u00a0<strong><u>0\u00a0<\/u><\/strong>\u00a0\u0939\u0948 | \u0910\u0938\u0940 \u0918\u091f\u0928\u093e\u00a0<strong><u>\u00a0\u0905\u0938\u0902\u092d\u0935 \u0918\u091f\u0928\u093e\u00a0<\/u><\/strong>\u0915\u0939\u0932\u093e\u0924\u0940 \u0939\u0948 |<\/p>\n<p><strong>(iii)<\/strong> \u0909\u0938 \u0918\u091f\u0928\u093e \u0915\u093f \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u091c\u093f\u0938\u0915\u093e \u0918\u091f\u093f\u0924 \u0939\u094b\u0928\u093e \u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0939\u0948\u00a0<strong><u>\u00a01\u00a0<\/u><\/strong>\u00a0\u0939\u0948 | \u0910\u0938\u0940 \u0918\u091f\u0928\u093e\u00a0\u00a0<strong><u>\u00a0\u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0918\u091f\u0928\u093e\u00a0<\/u><\/strong>\u0915\u0939\u0932\u093e\u0924\u0940 \u0939\u0948 |<\/p>\n<p><strong>(iv)<\/strong> \u0915\u093f\u0938\u0940 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u093f \u0938\u092d\u0940 \u092a\u094d\u0930\u093e\u0930\u0902\u092d\u093f\u0915 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e\u0913\u0902 \u0915\u093e \u092f\u094b\u0917\u00a0<strong><u>\u00a01\u00a0<\/u><\/strong>\u00a0\u0939\u0948 |<\/p>\n<p><strong>(v)<\/strong> \u0915\u093f\u0938\u0940 \u0918\u091f\u0928\u093e \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e\u00a0<u><strong>\u00a00\u00a0<\/strong><\/u>\u00a0\u0938\u0947 \u092c\u095c\u0940 \u092f\u093e \u0909\u0938\u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u0940 \u0939\u0948 \u0924\u0925\u093e\u00a0<u><strong>\u00a01\u00a0<\/strong><\/u>\u00a0\u0938\u0947 \u091b\u094b\u091f\u0940 \u092f\u093e \u0909\u0938\u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u0940 \u0939\u0948 |<\/p>\n<p><strong>Ex 15.1 Class 10 \u0917\u0923\u093f\u0924\u00a0Q2. \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092a\u094d\u0930\u092f\u094b\u0917\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0928-\u0915\u093f\u0928 \u092a\u094d\u0930\u092f\u094b\u0917\u094b\u0902 \u0915\u0947 \u092a\u0930\u093f\u0923\u093e\u092e \u0938\u092e\u092a\u094d\u0930\u093e\u092f\u093f\u0915 \u0939\u0948\u0902 ? \u0938\u094d\u092a\u0937\u094d\u091f \u0915\u0940\u091c\u093f\u090f |<\/strong><\/p>\n<p><strong>(i) \u090f\u0915 \u0921\u094d\u0930\u093e\u0907\u0935\u0930 \u0915\u093e\u0930 \u091a\u0932\u093e\u0928\u0947 \u0915\u093e \u092a\u094d\u0930\u092f\u0924\u094d\u0928 \u0915\u0930\u0924\u093e \u0939\u0948 | \u0915\u093e\u0930 \u091a\u0932\u0928\u093e \u092a\u094d\u0930\u093e\u0930\u0902\u092d \u0939\u094b \u091c\u093e\u0924\u0940 \u0939\u0948 \u092f\u093e \u0915\u093e\u0930 \u091a\u0932\u0928\u093e \u092a\u094d\u0930\u093e\u0930\u0902\u092d \u0928\u0939\u0940\u0902 \u0939\u094b\u0924\u0940 \u0939\u0948 |<\/strong><\/p>\n<p><strong>\u0909\u0924\u094d\u0924\u0930 :<\/strong>\u00a0\u0938\u092e\u092a\u094d\u0930\u093e\u092f\u093f\u0915 \u0939\u0948 |<\/p>\n<p><strong>(ii) \u090f\u0915 \u0916\u093f\u0932\u093e\u095c\u0940 \u092c\u093e\u0938\u094d\u0915\u0947\u091f\u092c\u094c\u0932 \u0915\u094b \u092c\u093e\u0938\u094d\u0915\u0947\u091f \u092e\u0947\u0902 \u0921\u093e\u0932\u0928\u0947 \u0915\u093e \u092a\u094d\u0930\u092f\u0924\u094d\u0928 \u0915\u0930\u0924\u0940 \u0939\u0948 | \u0935\u0939 \u092c\u093e\u0938\u094d\u0915\u0947\u091f \u092e\u0947\u0902 \u092c\u094c\u0932 \u0921\u093e\u0932 \u092a\u093e\u0924\u0940 \u0939\u0948 \u092f\u093e \u0928\u0939\u0940\u0902 \u0921\u093e\u0932 \u092a\u093e\u0924\u0940 \u0939\u0948 |<\/strong><\/p>\n<p><strong>\u0909\u0924\u094d\u0924\u0930 :<\/strong>\u00a0\u0938\u092e\u092a\u094d\u0930\u093e\u092f\u093f\u0915 \u0939\u0948 |<\/p>\n<p><strong>(iii) \u00a0 \u090f\u0915 \u0938\u0924\u094d\u092f &#8211; \u0905\u0938\u0924\u094d\u092f \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u093e \u0905\u0928\u0941\u092e\u093e\u0928 \u0932\u0917\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 | \u0909\u0924\u094d\u0924\u0930 \u0938\u0939\u0940 \u0939\u0948 \u092f\u093e \u0917\u0932\u0924 \u0939\u094b\u0917\u093e |<\/strong><\/p>\n<p><strong>\u0909\u0924\u094d\u0924\u0930 :\u00a0<\/strong>\u0938\u092e\u092a\u094d\u0930\u093e\u092f\u093f\u0915 \u0939\u0948 |<\/p>\n<p><strong>(iv) \u090f\u0915 \u092c\u091a\u094d\u091a\u0947 \u0915\u093e \u091c\u0928\u094d\u092e \u0939\u094b\u0924\u093e \u0939\u0948 | \u0935\u0939 \u090f\u0915 \u0932\u095c\u0915\u093e \u0939\u0948 \u092f\u093e \u090f\u0915 \u0932\u095c\u0915\u0940 \u0939\u0948 |<\/strong><\/p>\n<p><strong>\u0909\u0924\u094d\u0924\u0930 :<\/strong>\u00a0\u0938\u092e\u092a\u094d\u0930\u093e\u092f\u093f\u0915 \u0939\u0948 |<\/p>\n<p><strong>Ex 15.1 Class 10 \u0917\u0923\u093f\u0924\u00a0Q3. \u092b\u0941\u091f\u092c\u094c\u0932 \u0915\u0947 \u0916\u0947\u0932 \u0915\u094b \u092a\u094d\u0930\u093e\u0902\u0930\u092d \u0915\u0930\u0924\u0947 \u0938\u092e\u092f \u092f\u0939 \u0928\u093f\u0930\u094d\u0923\u092f \u0932\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0915\u093f \u0915\u094c\u0928 \u0938\u0940 \u091f\u0940\u092e \u092a\u0939\u0932\u0947 \u092c\u094c\u0932 \u0932\u0947\u0917\u0940, \u0907\u0938\u0915\u0947 \u0932\u093f\u090f \u0938\u093f\u0915\u094d\u0915\u093e \u0909\u091b\u0932\u0928\u093e \u090f\u0915 \u0928\u094d\u092f\u093e\u092f\u0938\u0902\u0917\u0924 \u0935\u093f\u0927\u093f \u0915\u094d\u092f\u094b\u0901 \u092e\u093e\u0928\u093e \u091c\u093e\u0924\u093e \u0939\u0948 ?<\/strong><\/p>\n<p><strong>\u0909\u0924\u094d\u0924\u0930 :<\/strong>\u00a0\u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0938\u093f\u0915\u094d\u0915\u093e \u0909\u091b\u093e\u0932\u0928\u093e \u090f\u0915 \u0938\u092e\u092a\u094d\u0930\u093e\u092f\u093f\u0915 \u0918\u091f\u0928\u093e \u0939\u0948 |<\/p>\n<p><strong>Ex 15.1 Class 10 \u0917\u0923\u093f\u0924\u00a0Q4. \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093f\u0938\u0940 \u0918\u091f\u0928\u093e \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0928\u0939\u0940\u0902 \u0939\u094b \u0938\u0915\u0924\u0940 ?<\/strong><\/p>\n<p><strong>(A) 2\/3\u00a0<\/strong><\/p>\n<p><strong>(B) -1.5<\/strong><\/p>\n<p><strong>(C) 15%<\/strong><\/p>\n<p><strong>(D) 0.7\u00a0<\/strong><\/p>\n<p><strong>\u0909\u0924\u094d\u0924\u0930 :<\/strong>\u00a0(B) -1.5\u00a0\u00a0<strong>[\u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0915\u093f\u0938\u0940 \u092d\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u0940 \u0938\u0940\u092e\u093e 0 \u0938\u0947 1 \u0915\u0947 \u092c\u0940\u091a \u0939\u094b\u0924\u0940 \u0939\u0948|]<\/strong><\/p>\n<p><strong>Ex 15.1 Class 10 \u0917\u0923\u093f\u0924\u00a0Q5. \u092f\u0926\u093f P(E) = 0.05 \u0939\u0948, \u0924\u094b &#8216;E \u0928\u0939\u0940\u0902&#8217; \u0915\u093f \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948 ?<\/strong><\/p>\n<p><strong>\u0939\u0932 :<\/strong>\u00a0\u0926\u093f\u092f\u093e \u0939\u0948\u00a0(E) = 0.05<\/p>\n<p>\u0939\u092e \u091c\u093e\u0928\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f P(E) + P(E) \u0928\u0939\u0940\u0902 = 1<\/p>\n<p>=&gt; 0.05 +\u00a0P(E) \u0928\u0939\u0940\u0902 = 1<\/p>\n<p>=&gt;\u00a0P(E) \u0928\u0939\u0940\u0902 = 1 &#8211; 0.05<\/p>\n<p>=&gt;\u00a0P(E) \u0928\u0939\u0940\u0902 = 0.95\u00a0<strong>\u0909\u0924\u094d\u0924\u0930<\/strong><\/p>\n<p><strong>Ex 15.1 Class 10 \u0917\u0923\u093f\u0924\u00a0Q6. \u090f\u0915 \u0925\u0948\u0932\u0947 \u092e\u0947\u0902 \u0915\u0947\u0935\u0932 \u0928\u0940\u0902\u092c\u0942 \u0915\u093f \u092e\u0939\u0915 \u0935\u093e\u0932\u0940 \u092e\u0940\u0920\u0940 \u0917\u094b\u0932\u093f\u092f\u093e\u0901 \u0939\u0948\u0902 | \u092e\u093e\u0932\u093f\u0928\u0940 \u092c\u093f\u0928\u093e \u0925\u0948\u0932\u0947 \u092e\u0947\u0902 \u091d\u093e\u0901\u0915\u0947 \u0909\u0938\u092e\u0947\u0902 \u0938\u0947 \u090f\u0915 \u0917\u094b\u0932\u0940 \u0928\u093f\u0915\u093e\u0932\u0924\u0940 \u0939\u0948 | \u0907\u0938\u0915\u0940 \u0915\u094d\u092f\u093e \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948 \u0915\u093f \u0935\u0939 \u0928\u093f\u0915\u093e\u0932\u0940 \u0917\u0908 \u0917\u094b\u0932\u0940<\/strong><\/p>\n<p><strong>(i) \u0938\u0902\u0924\u0930\u0947 \u0915\u093f \u092e\u0939\u0915 \u0935\u093e\u0932\u0940 \u0939\u0948 ?<\/strong><\/p>\n<p><strong>(ii) \u0928\u0940\u0902\u092c\u0942 \u0915\u093f \u092e\u0939\u0915 \u0935\u093e\u0932\u0940 \u0939\u0948 ?<\/strong><\/p>\n<p><strong>\u0939\u0932 :<\/strong> \u092e\u093e\u0928\u093e \u0925\u0948\u0932\u0947 \u092e\u0947\u0902 \u0915\u0941\u0932\u00a0\u0917\u094b\u0932\u093f\u092f\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = n<\/p>\n<p>(i) \u0938\u0902\u0924\u0930\u0947 \u0915\u093f \u092e\u0939\u0915 \u0935\u093e\u0932\u0940 \u0939\u0948 ?<\/p>\n<p>\u0938\u0902\u0924\u0930\u0947 \u0915\u0940 \u092e\u0939\u0915 \u0935\u093e\u0932\u0940 \u0917\u094b\u0932\u093f\u092f\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 0<\/p>\n<p>\u0938\u0902\u0924\u0930\u0947 \u0915\u0940 \u092e\u0939\u0915 \u0935\u093e\u0932\u0940 \u0917\u094b\u0932\u0940 \u0928\u093f\u0915\u0932\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e<\/p>\n<p><strong>Ex 15.1 Class 10 \u0917\u0923\u093f\u0924\u00a0Q7. \u092f\u0939 \u0926\u093f\u092f\u093e \u0939\u0941\u0906 \u0939\u0948 \u0915\u093f 3 \u0935\u093f\u0927\u093e\u0930\u094d\u0925\u093f\u092f\u094b\u0902 \u0915\u0947 \u090f\u0915 \u0938\u092e\u0942\u0939 \u092e\u0947\u0902 \u0938\u0947 2 \u0935\u093f\u0927\u093e\u0930\u094d\u0925\u093f\u092f\u094b\u0902 \u0915\u0947 \u091c\u0928\u094d\u092e\u0926\u093f\u0928 \u090f\u0915 \u0939\u0940 \u0926\u093f\u0928 \u0928 \u0939\u094b\u0928\u0947 \u0915\u093f \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e 0.9992 \u0939\u0948 | \u0907\u0938\u0915\u0940 \u0915\u094d\u092f\u093e \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948 \u0915\u093f \u0907\u0928 2 \u0935\u093f\u0927\u093e\u0930\u094d\u0925\u093f\u092f\u094b\u0902 \u0915\u093e \u091c\u0928\u094d\u092e\u0926\u093f\u0928 \u090f\u0915 \u0939\u0940 \u0926\u093f\u0928 \u0939\u094b ?<\/strong><br \/>\n<strong>\u0939\u0932\u0903<\/strong> \u092e\u093e\u0928\u093e 2 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u093f\u092f\u094b\u0902 \u0915\u093e \u090f\u0915 \u0939\u0940 \u0926\u093f\u0928 \u091c\u0928\u094d\u092e\u0926\u093f\u0928 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0918\u091f\u0928\u093e E \u0939\u0948\u0964<br \/>\n\u092e\u093e\u0928\u093e 2 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u093f\u092f\u094b\u0902 \u0915\u093e \u090f\u0915 \u0939\u0940 \u0926\u093f\u0928 \u091c\u0928\u094d\u092e\u0926\u093f\u0928 \u0928\u0939\u0940\u0902 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0918\u091f\u0928\u093e E \u0939\u0948\u0964<br \/>\n\u091a\u0942\u0902\u0915\u093f P(E) + P(E \u0928\u0939\u0940) = 1.<br \/>\n\u092a\u0930\u0928\u094d\u0924\u0941<br \/>\nP(E \u0928\u0939\u0940) = 0.992<br \/>\nP(E \u0928\u0939\u0940) + 0.992 = 1<br \/>\nP(E \u0928\u0939\u0940) = 1 &#8211; 0.992 = 0.008<br \/>\n\u0905\u0924: 2 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u093f\u092f\u094b\u0902 \u0915\u093e \u090f\u0915 \u0939\u0940 \u0926\u093f\u0928 \u091c\u0928\u094d\u092e\u0926\u093f\u0928 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0918\u091f\u0928\u093e \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e 0.008 \u0939\u0948\u0964<\/p>\n<p><strong> Ex 15.1 Class 10 \u0917\u0923\u093f\u0924\u00a0Q8. \u090f\u0915 \u0925\u0948\u0932\u0947 \u092e\u0947\u0902 3 \u0932\u093e\u0932 \u0914\u0930 5 \u0915\u093e\u0932\u0940 \u0917\u0947\u0902\u0926\u0947\u0902 \u0939\u0948\u0902 | \u0907\u0938 \u0925\u0948\u0932\u0947 \u092e\u0947\u0902 \u0938\u0947 \u090f\u0915 \u0917\u0947\u0902\u0926 \u092f\u0926\u0943\u091a\u094d\u091b\u092f\u093e \u0928\u093f\u0915\u093e\u0932\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948| \u0907\u0938\u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u0948 \u0915\u093f \u0917\u0947\u0902\u0926<\/strong><\/p>\n<p><strong>(i) \u0932\u093e\u0932 \u0939\u094b<\/strong><\/p>\n<p><strong>(ii) \u0932\u093e\u0932 \u0928\u0939\u0940\u0902 \u0939\u094b ?<\/strong><br \/>\n<strong>\u0939\u0932\u0903<\/strong> \u0925\u0948\u0932\u0947 \u092e\u0947\u0902 \u0917\u0947\u0902\u0926\u094b\u0902 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e = 3 + 5 = 8<br \/>\n\u0925\u0948\u0932\u0947 \u092e\u0947\u0902 \u0938\u0947 \u090f\u0915 \u0917\u0947\u0902\u0926 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u0940 \u0918\u091f\u0928\u093e \u0915\u0947 \u0938\u092d\u0940 \u0938\u0902\u092d\u0935 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 8<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1819\/43980030272_be3951802c_o.png?resize=391%2C370&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 8\" width=\"391\" height=\"370\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 15.1 Class 10 \u0917\u0923\u093f\u0924\u00a0Q9. \u090f\u0915 \u0921\u093f\u092c\u094d\u092c\u0947 \u092e\u0947\u0902 5 \u0932\u093e\u0932 \u0915\u0902\u091a\u0947, 8 \u0938\u092b\u0947\u0926 \u0915\u0902\u091a\u0947 \u0914\u0930 4 \u0939\u0930\u0947 \u0915\u0902\u091a\u0947 \u0939\u0948\u0902 | \u0907\u0938 \u0921\u093f\u092c\u094d\u092c\u0947 \u092e\u0947\u0902 \u0938\u0947 \u090f\u0915 \u0915\u0902\u091a\u093e\u00a0<\/strong><\/p>\n<p><strong>(i) \u0932\u093e\u0932 \u0939\u0948 ?<\/strong><\/p>\n<p><strong>(ii) \u0938\u092b\u0947\u0926 \u0939\u0948 ?<\/strong><\/p>\n<p><strong>(iii) \u0939\u0930\u093e \u0928\u0939\u0940\u0902 \u0939\u0948 ?<\/strong><br \/>\n<strong>\u0939\u0932\u0903<\/strong> \u0921\u093f\u092c\u094d\u092c\u0947 \u092e\u0947\u0902 \u0915\u0902\u091a\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 5 \u0932\u093e\u0932 \u0915\u0902\u091a\u0947 + 8 \u0938\u092b\u0947\u0926 \u0915\u0902\u091a\u0947 + 4 \u0939\u0930\u0947 \u0915\u0902\u091a\u0947 = 17 \u0915\u0902\u091a\u0947\u0964<br \/>\n\u0921\u093f\u092c\u094d\u092c\u0947 \u092e\u0947\u0902 \u0938\u0947 \u090f\u0915 \u0915\u0902\u091a\u093e \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u0940 \u0918\u091f\u0928\u093e \u0915\u0947 \u0938\u092e\u094d\u092d\u0935 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 17<br \/>\n(i) \u0932\u093e\u0932 \u0917\u0947\u0902\u0926\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 5<br \/>\n\u0921\u093f\u092c\u094d\u092c\u0947 \u092e\u0947\u0902 \u0938\u0947 \u0928\u093f\u0915\u093e\u0932\u0940 \u0917\u0908 \u0917\u0947\u0902\u0926 \u0915\u093e \u0932\u093e\u0932 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0918\u091f\u0928\u093e \u0915\u0947 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 5<br \/>\n\u0905\u0928\u0941\u0915\u0942\u0932 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 5<br \/>\n\u0905\u0928\u0941\u0915\u0942\u0932 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 5<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1771\/43980030512_a1bdeee2dd_o.png?resize=319%2C99&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 9\" width=\"319\" height=\"99\" data-recalc-dims=\"1\" \/><br \/>\n(ii) \u0938\u092b\u0947\u0926 \u0917\u0947\u0902\u0926\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 8<br \/>\n\u0921\u093f\u092c\u094d\u092c\u0947 \u092e\u0947\u0902 \u0938\u0947 \u0938\u092b\u0947\u0926 \u0917\u0947\u0902\u0926 \u0928\u093f\u0915\u093e\u0932\u0940 \u091c\u093e\u0928\u0947 \u0915\u0940 \u0918\u091f\u0928\u093e \u0915\u0947 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 8<br \/>\n\u0905\u0928\u0941\u0915\u0942\u0932 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 8<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1815\/43980030372_ac25e08cb0_o.png?resize=400%2C346&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 9.1\" width=\"400\" height=\"346\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 15.1 Class 10 \u0917\u0923\u093f\u0924 Q10. \u090f\u0915 \u092a\u093f\u0917\u094d\u0917\u0940 \u092c\u0948\u0902\u0915 (piggy bank) \u092e\u0947\u0902, 50 \u092a\u0948\u0938\u0947 \u0915\u0947 \u0938\u094c \u0938\u093f\u0915\u094d\u0915\u0947 \u0939\u0948, 1 \u0930\u0942 \u0915\u0947 \u092a\u091a\u093e\u0938 \u0938\u093f\u0915\u094d\u0915\u0947 \u0939\u0948\u0902, 2 \u0930\u0942 \u0915\u0947 \u092c\u0940\u0938 \u0938\u093f\u0915\u094d\u0915\u0947 \u0917\u093f\u0930\u0928\u0947 \u0915\u0947 \u092a\u0930\u093f\u0923\u093e\u092e \u0938\u092e\u092a\u094d\u0930\u093e\u092f\u093f\u0915 \u0939\u0948\u0902, \u0924\u094b \u0907\u0938\u0915\u0940 \u0915\u094d\u092f\u093e \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948 \u0915\u093f \u0935\u0939 \u0917\u093f\u0930\u093e \u0939\u0941\u0906 \u0938\u093f\u0915\u094d\u0915\u093e<\/strong><\/p>\n<p><strong>(i) 50 \u092a\u0948\u0938\u0947 \u0915\u093e \u0939\u094b\u0917\u093e ?<\/strong><\/p>\n<p><strong>(ii) 5 \u0930\u0942 \u0915\u093e \u0928\u0939\u0940\u0902 \u0939\u094b\u0917\u093e ?<\/strong><br \/>\n<strong>\u0939\u0932\u0903<\/strong> \u092a\u093f\u0917\u094d\u0917\u0940-\u092c\u0948\u0902\u0915 \u092e\u0947\u0902 \u0915\u0941\u0932 \u0938\u093f\u0915\u094d\u0915\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 50 \u092a\u0948\u0938\u0947 \u0915\u0947 \u0938\u093f\u0915\u094d\u0915\u0947 + 1 \u0915\u0947 \u0938\u093f\u0915\u094d\u0915\u0947 + 2\u0930 \u0915\u0947 \u0938\u093f\u0915\u094d\u0915\u0947 + 5 \u0915\u0947 \u0938\u093f\u0915\u094d\u0915\u0947<br \/>\n= 100 + 50 + 20 + 10 = 180<br \/>\n\u092a\u093f\u0917\u094d\u0917\u0940 \u092c\u0948\u0902\u0915 \u0938\u0947 \u0938\u093f\u0915\u094d\u0915\u093e \u0928\u093f\u0915\u0932\u0928\u0947 \u0915\u0940 \u0918\u091f\u0928\u093e \u0915\u0947 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 180<br \/>\n(i) 50 \u092a\u0948. \u0915\u0947 \u0938\u093f\u0915\u094d\u0915\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 100<br \/>\n\u092a\u093f\u0917\u094d\u0917\u0940 \u092c\u0948\u0902\u0915 \u0938\u0947 50 \u092a\u0948\u0938\u0947 \u0915\u093e \u0938\u093f\u0915\u094d\u0915\u093e \u0917\u093f\u0930\u0928\u0947 \u0915\u0940 \u0918\u091f\u0928\u093e \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 100<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1795\/43980030782_312d390d12_o.png?resize=399%2C332&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 10\" width=\"399\" height=\"332\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 15.1 Class 10 \u0917\u0923\u093f\u0924\u00a0Q11. \u0917\u094b\u092a\u0940 \u0905\u092a\u0928\u0947 \u091c\u0932 &#8211; \u091c\u0940\u0935 \u0915\u0941\u0902\u0921 (aquarium) \u0915\u0947 \u0932\u093f\u090f \u090f\u0915 \u0926\u0941\u0915\u093e\u0928 \u0938\u0947 \u092e\u091b\u0932\u0940 \u0916\u0930\u0940\u0926\u0924\u0940 \u0939\u0948 | \u0926\u0941\u0915\u093e\u0928\u0926\u093e\u0930 \u090f\u0915 \u091f\u0902\u0915\u0940, \u091c\u093f\u0938\u092e\u0947\u0902 5 \u0928\u0930 \u092e\u091b\u0932\u0940 \u0914\u0930 8 \u092e\u093e\u0926\u093e \u092e\u091b\u0932\u0940 \u0939\u0948, \u092e\u0947\u0902 \u0938\u0947 \u090f\u0915 \u092e\u091b\u0932\u0940 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u092f\u093e \u0909\u0938\u0947 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0928\u093f\u0915\u093e\u0932\u0924\u0940 \u0939\u0948 (\u0926\u0947\u0916\u093f\u090f \u0906\u0915\u0943\u0924\u093f 15.4) | \u0907\u0938\u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948 \u0915\u093f \u0928\u093f\u0915\u093e\u0932\u0940 \u0917\u0908 \u092e\u091b\u0932\u0940 \u0928\u0930 \u092e\u091b\u0932\u0940 \u0939\u0948 ?<\/strong><br \/>\n<strong>\u0939\u0932\u0903<\/strong> \u092e\u091b\u0932\u093f\u092f\u094b\u0902 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e = (\u0928\u0930 \u092e\u091b\u0932\u093f\u092f\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e) + (\u092e\u093e\u0926\u093e \u092e\u091b\u0932\u093f\u092f\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e) = 5 + 8 = 13<br \/>\n\u0915\u0941\u0902\u0921 \u092e\u0947\u0902 \u0938\u0947 \u092e\u091b\u0932\u0940 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u0940 \u0918\u091f\u0928\u093e \u0915\u0947 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e = 13<br \/>\n\u0938\u0902\u092d\u0935 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 13<br \/>\n\u091a\u0942\u0902\u0915\u093f \u0928\u0930 \u092e\u091b\u0932\u093f\u092f\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 5<br \/>\n\u0905\u0928\u0941\u0915\u0942\u0932 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 5<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1778\/43980030842_6813af5f00_o.png?resize=368%2C101&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 11.1\" width=\"368\" height=\"101\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 15.1 Class 10 \u0917\u0923\u093f\u0924\u00a0Q12. \u0938\u0902\u092f\u094b\u0917 (chance) \u0915\u0947 \u090f\u0915 \u0916\u0947\u0932 \u092e\u0947\u0902, \u090f\u0915 \u0924\u0940\u0930 \u0915\u094b \u0918\u0941\u092e\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u091c\u094b \u0935\u093f\u0936\u094d\u0930\u093e\u092e \u092e\u0947\u0902 \u0906\u0928\u0947 \u0915\u0947 \u092c\u093e\u0926 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 1,2,3,4,5,6,7, \u0914\u0930 8 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938\u0940 \u090f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094b \u0907\u0902\u0917\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948 (\u0926\u0947\u0916\u093f\u090f \u0906\u0915\u0943\u0924\u093f 15.5 ) | \u092f\u0926\u093f \u092f\u0947 \u0938\u092d\u0940 \u092a\u0930\u093f\u0923\u093e\u092e \u0938\u092e\u092a\u094d\u0930\u093e\u092f\u093f\u0915 \u0939\u094b\u0902 \u0924\u094b \u0907\u0938\u0915\u0940 \u0915\u094d\u092f\u093e \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948 \u0915\u093f \u092f\u0939 \u0924\u0940\u0930 \u0907\u0902\u0917\u093f\u0924<\/strong><\/p>\n<p><strong>(i) 8 \u0915\u094b \u0915\u0930\u0947\u0917\u093e ?<\/strong><\/p>\n<p><strong>(ii) \u090f\u0915 \u0935\u093f\u0937\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094b \u0915\u0930\u0947\u0917\u093e ?<\/strong><\/p>\n<p><strong>(iii) 2 \u0938\u0947 \u092c\u095c\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094b \u0915\u0930\u0947\u0917\u093e ?<\/strong><\/p>\n<p><strong>(iv) 9 \u0938\u0947 \u091b\u094b\u091f\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094b \u0915\u0930\u0947\u0917\u093e ?<\/strong><br \/>\n<strong>\u0939\u0932\u0903<\/strong> \u091a\u0942\u0902\u0915\u093f \u0935\u093f\u0936\u094d\u0930\u093e\u092e \u092e\u0947\u0902 \u0906\u0928\u0947 \u092a\u0930 \u0924\u0940\u0930 1 \u0938\u0947 8 \u0924\u0915 \u0915\u0940 \u0915\u093f\u0938\u0940 \u092d\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094b \u0907\u0902\u0917\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<br \/>\n\u0938\u0902\u092d\u0935 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 8<br \/>\n(i) \u091a\u0942\u0902\u0915\u093f \u091a\u0915\u094d\u0930 \u092a\u0930 8 \u0915\u093e \u090f\u0915 \u0905\u0902\u0915 \u0939\u0948\u0964<br \/>\n\u0905\u0902\u0915 8 \u0915\u094b \u0907\u0902\u0917\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0940 \u0918\u091f\u0928\u093e \u0915\u0947 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 1<br \/>\n\u0905\u0928\u0941\u0915\u0942\u0932 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 1<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1818\/43980031152_7057a0c3b8_o.png?resize=385%2C364&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 12.1\" width=\"385\" height=\"364\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1780\/29091269777_4c8001e621_o.png?resize=375%2C405&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 12.2\" width=\"375\" height=\"405\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 15.1 Class 10 \u0917\u0923\u093f\u0924\u00a0Q13. \u090f\u0915 \u092a\u093e\u0938\u0947 \u0915\u094b \u090f\u0915 \u092c\u093e\u0930 \u092b\u0947\u0902\u0915\u093e \u091c\u093e\u0924\u093e \u0939\u0948 | \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0915\u094b \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0928\u0947 \u0915\u093f \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0917\u094d\u092f\u0924\u096b \u0915\u0940\u091c\u093f\u090f :<\/strong><\/p>\n<p><strong>(i) \u090f\u0915 \u0905\u092d\u093e\u091c\u094d\u092f \u0938\u0902\u0916\u094d\u092f\u093e<\/strong><\/p>\n<p><strong>(ii) 2 \u0914\u0930 6 \u0915\u0947 \u092c\u0940\u091a \u0938\u094d\u0925\u093f\u0924 \u0915\u094b\u0908 \u0938\u0902\u0916\u094d\u092f\u093e<\/strong><\/p>\n<p><strong>(iii) \u090f\u0915 \u0935\u093f\u0937\u092e \u0938\u0902\u0916\u094d\u092f\u093e<\/strong><br \/>\n<strong>\u0939\u0932\u0903<\/strong><br \/>\n(i) \u090f\u0915 \u092a\u093e\u0938\u0947 \u092a\u0930 \u0905\u092d\u093e\u091c\u094d\u092f \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 2, 3 \u0914\u0930 5 \u0939\u0948\u0902\u0964<br \/>\n\u092e\u093e\u0928\u093e \u0915\u093f \u0918\u091f\u0928\u093e E&#8221; \u090f\u0915 \u0905\u092d\u093e\u091c\u094d\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0928\u093e \u0939\u0948\u0964&#8221;<br \/>\nE \u0915\u0947 \u0905\u0928\u0941\u0915\u0942\u0932 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 3<br \/>\n\u091a\u0942\u0902\u0915\u093f \u092a\u093e\u0938\u0947 \u092a\u0930 \u091b\u0903 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 [1, 2, 3, 45 \u0914\u0930 6] \u0939\u094b\u0924\u0940 \u0939\u0948\u0902\u0964<br \/>\nE \u0915\u0947 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 6<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1836\/29091269937_5ab33eee4e_o.png?resize=395%2C571&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 13\" width=\"395\" height=\"571\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 15.1 Class 10 \u0917\u0923\u093f\u0924\u00a0Q14. 52 \u092a\u0924\u094d\u0924\u094b\u0902 \u0915\u093f \u0905\u091a\u094d\u091b\u0940 \u092a\u094d\u0930\u0915\u093e\u0930 \u0938\u0947 \u092b\u0947\u091f\u0940 \u0917\u0908 \u090f\u0915 \u0917\u0921\u094d\u0921\u0940 \u092e\u0947\u0902 \u0938\u0947 \u090f\u0915 \u092a\u0924\u094d\u0924\u093e \u0928\u093f\u0915\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948 | \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0915\u094b \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0928\u0947 \u0915\u093f \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f :<\/strong><\/p>\n<p><strong>(i) \u0932\u093e\u0932 \u0930\u0902\u0917 \u0915\u093e \u092c\u093e\u0926\u0936\u093e\u0939<\/strong><\/p>\n<p><strong>(ii) \u090f\u0915 \u092b\u0947\u0938 \u0915\u093e\u0930\u094d\u0921 \u0905\u0930\u094d\u0925\u093e\u0924\u094d \u0924\u0938\u094d\u0935\u0940\u0930 \u0935\u093e\u0932\u093e \u092a\u0924\u094d\u0924\u093e<\/strong><\/p>\n<p><strong>(iii) \u0932\u093e\u0932 \u0930\u0902\u0917 \u0915\u093e \u0924\u0938\u094d\u0935\u0940\u0930 \u0935\u093e\u0932\u093e \u092a\u0924\u094d\u0924\u093e<\/strong><\/p>\n<p><strong>(iv) \u092a\u093e\u0928 \u0915\u093e \u0917\u0941\u0932\u093e\u092e<\/strong><\/p>\n<p><strong>(v) \u0939\u0941\u0915\u0941\u092e \u0915\u093e \u092a\u0924\u094d\u0924\u093e\u00a0<\/strong><\/p>\n<p><strong>(vi) \u090f\u0915 \u0908\u0902\u091f \u0915\u093f \u092c\u0947\u0917\u092e<\/strong><br \/>\n<strong>\u0939\u0932\u0903<\/strong> \u091a\u0942\u0902\u0915\u093f \u0924\u093e\u0938 \u0915\u0940 \u090f\u0915 \u0917\u0921\u094d\u0921\u0940 \u092e\u0947\u0902 52 \u092a\u0924\u094d\u0924\u0947 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964<br \/>\n\u090f\u0915 \u092a\u0924\u094d\u0924\u093e 52 \u0924\u0930\u0940\u0915\u094b\u0902 \u0938\u0947 \u0928\u093f\u0915\u093e\u0932\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964<br \/>\n\u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0905\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u0938\u092d\u0940 \u0938\u0902\u092d\u0935 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 52<br \/>\n(i) \u092e\u093e\u0928\u093e \u0918\u091f\u0928\u093e E, &#8220;\u0932\u093e\u0932 \u0930\u0902\u0917 \u0915\u093e \u092c\u093e\u0926\u0936\u093e\u0939 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0928\u093e \u0939\u0948\u0964<br \/>\n\u091a\u0942\u0902\u0915\u093f \u090f\u0915 \u0917\u0921\u094d\u0921\u0940 \u092e\u0947\u0902 \u0932\u093e\u0932 \u0930\u0902\u0917 \u0915\u0947 2 \u092c\u093e\u0926\u0936\u093e\u0939 [1 \u092a\u093e\u0928 (hearts) \u0915\u093e \u0914\u0930 1 \u0908\u0902\u091f (diamond) \u0915\u093e]<br \/>\n\u0905\u0928\u0941\u0915\u0942\u0932 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 2,<br \/>\n\u0938\u092d\u0940 \u0938\u0902\u092d\u0935 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 52<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1837\/43980031942_0b6678e53c_o.png?resize=400%2C398&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 14\" width=\"400\" height=\"398\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1795\/29091270017_4cf09e93d0_o.png?resize=407%2C471&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 14.1\" width=\"407\" height=\"471\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1792\/43980031832_850eabc4dd_o.png?resize=397%2C371&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 14.2\" width=\"397\" height=\"371\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 15.1 Class 10 \u0917\u0923\u093f\u0924\u00a0Q15. \u0924\u093e\u0936 \u0915\u0947 \u092a\u093e\u0901\u091a \u092a\u0924\u094d\u0924\u094b\u0902 &#8211; \u0908\u0902\u091f \u0915\u093e \u0926\u0939\u0932\u093e, \u0917\u0941\u0932\u093e\u092e, \u092c\u0947\u0917\u092e, \u092c\u093e\u0926\u0936\u093e\u0939 \u0914\u0930 \u0907\u0915\u094d\u0915\u093e &#8211; \u0915\u094b \u092a\u0932\u091f \u0915\u0930\u0915\u0947 \u0905\u091a\u094d\u091b\u0940 \u092a\u094d\u0930\u0915\u093e\u0930 \u092b\u0947\u091f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 | \u092b\u093f\u0930 \u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u092f\u093e \u090f\u0915 \u092a\u0924\u094d\u0924\u093e \u0928\u093f\u0915\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948 |<\/strong><\/p>\n<p><strong>(i) \u0907\u0938\u0915\u0940 \u0915\u094d\u092f\u093e \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948 \u0915\u093f \u092f\u0939 \u092a\u0924\u094d\u0924\u093e \u090f\u0915 \u092c\u0947\u0917\u092e \u0939\u0948 |<\/strong><\/p>\n<p><strong>(ii) \u092f\u0926\u093f \u092c\u0947\u0917\u092e \u0928\u093f\u0915\u0932 \u0906\u0924\u0940 \u0939\u0948, \u0924\u094b \u0909\u0938\u0947 \u0905\u0932\u0917 \u0930\u0916 \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u090f\u0915 \u0905\u0928\u094d\u092f \u0928\u093f\u0915\u093e\u0932\u093e \u091c\u093e\u0924\u093e<\/strong><\/p>\n<p><strong>\u0939\u0948 | \u0907\u0938\u0915\u0940 \u0915\u094d\u092f\u093e \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948 \u0915\u093f \u0926\u0942\u0938\u0930\u093e \u0928\u093f\u0915\u093e\u0932\u093e \u0917\u092f\u093e \u092a\u0924\u094d\u0924\u093e<\/strong><\/p>\n<p><strong>(a) \u00a0 \u090f\u0915 \u0907\u0915\u094d\u0915\u093e \u0939\u0948 ?<\/strong><\/p>\n<p><strong>(b) \u090f\u0915 \u092c\u0947\u0917\u092e \u0939\u0948 ?<\/strong><br \/>\n<strong>\u0939\u0932\u0903<\/strong> \u091a\u0942\u0902\u0915\u093f \u0915\u0941\u0932 \u092a\u0924\u094d\u0924\u0947 (\u0926\u0939\u0932\u093e, \u0917\u0941\u0932\u093e\u092e, \u092c\u0947\u0917\u092e, \u092c\u093e\u0926\u0936\u093e\u0939 \u0914\u0930 \u0907\u0915\u094d\u0915\u093e) \u092a\u093e\u0901\u091a \u0939\u0948\u0902\u0964<br \/>\n(i) \u092e\u093e\u0928\u093e \u0918\u091f\u0928\u093e, E\u201c \u0928\u093f\u0915\u093e\u0932\u093e \u0917\u092f\u093e \u092a\u0924\u094d\u0924\u093e \u090f\u0915 \u092c\u0947\u0917\u092e \u0939\u0948&#8221; \u0915\u094b \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<br \/>\n\u0915\u0941\u0932 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 5<br \/>\n\u091a\u0942\u0902\u0915\u093f \u0907\u0928 \u092a\u0924\u094d\u0924\u094b\u0902 \u092e\u0947\u0902 \u0915\u0947\u0935\u0932 \u090f\u0915 \u0939\u0940 \u092c\u0947\u0917\u092e \u0939\u0948\u0964<br \/>\n\u0905\u0928\u0941\u0915\u0942\u0932 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 1<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1817\/44028696751_be660c58cd_o.png?resize=297%2C76&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 15\" width=\"297\" height=\"76\" data-recalc-dims=\"1\" \/><br \/>\n(ii) \u091a\u0942\u0902\u0915\u093f \u092c\u0947\u0917\u092e \u0915\u0947 \u092a\u0924\u094d\u0924\u0947 \u0915\u094b \u0928\u093f\u0915\u093e\u0932\u0915\u0930 \u090f\u0915 \u0913\u0930 \u0930\u0916\u0928\u0947 \u092a\u0930, \u0939\u092e\u093e\u0930\u0947 \u092a\u093e\u0938 \u0915\u0947\u0935\u0932 \u091a\u093e\u0930 \u092a\u0924\u094d\u0924\u0947 \u092c\u091a\u0924\u0947 \u0939\u0948\u0902\u0964<br \/>\n\u0938\u092d\u0940 \u0938\u0902\u092d\u0935 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 4<br \/>\n(a) \u091a\u0942\u0902\u0915\u093f \u091a\u093e\u0930 \u092a\u0924\u094d\u0924\u094b\u0902 \u092e\u0947\u0902 \u0915\u0947\u0935\u0932 1 \u0907\u0915\u094d\u0915\u093e \u0939\u0948\u0964<br \/>\n\u0918\u091f\u0928\u093e, E\u201c \u0928\u093f\u0915\u093e\u0932\u093e \u0917\u092f\u093e \u092a\u0924\u094d\u0924\u093e \u090f\u0915 \u0907\u0915\u094d\u0915\u093e \u0939\u0948&#8221; \u0915\u0947 \u0932\u093f\u090f \u0905\u0928\u0941\u0915\u0942\u0932 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 1<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1794\/43980032072_187cf5d22b_o.png?resize=259%2C109&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 15.1\" width=\"259\" height=\"109\" data-recalc-dims=\"1\" \/><br \/>\n(b) \u092e\u093e\u0928\u093e \u0918\u091f\u0928\u093e E, \u201c\u0928\u093f\u0915\u093e\u0932\u093e \u0917\u092f\u093e \u092a\u0924\u094d\u0924\u093e \u090f\u0915 \u092c\u0947\u0917\u092e \u0939\u0948&#8221; \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948\u0964<br \/>\nP(E) = 0<\/p>\n<p><strong>Ex 15.1 Class 10 \u0917\u0923\u093f\u0924\u00a0Q16. \u0915\u093f\u0938\u0940 \u0915\u093e\u0930\u0923 12 \u0916\u0930\u093e\u092c \u092a\u0947\u0928 132 \u0905\u091a\u094d\u091b\u0947 \u092a\u0947\u0928\u094b\u0902 \u092e\u0947\u0902 \u092e\u093f\u0932 \u0917\u090f \u0939\u0948\u0902 | \u0915\u0947\u0935\u0932 \u0926\u0947\u0916\u0915\u0930 \u092f\u0939 \u0928\u0939\u0940\u0902 \u092c\u0924\u093e\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 \u0915\u093f \u0915\u094b\u0908 \u092a\u0947\u0928 \u0916\u0930\u093e\u092c \u0939\u0948 \u092f\u093e \u0905\u091a\u094d\u091b\u093e \u0939\u0948 | \u0907\u0938 \u092e\u093f\u0936\u094d\u0930\u0923 \u092e\u0947\u0902 \u0938\u0947, \u090f\u0915 \u092a\u0947\u0928 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u092f\u093e \u0928\u093f\u0915\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948 | \u0928\u093f\u0915\u0932\u0947 \u0917\u090f \u092a\u0947\u0928 \u0915\u093f \u0905\u091a\u094d\u091b\u093e \u0939\u094b\u0928\u0947 \u0915\u093f \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f |<\/strong><br \/>\n<strong>\u0939\u0932\u0903<\/strong> \u0915\u0941\u0932 \u092a\u0947\u0928 = [\u0905\u091a\u094d\u091b\u0947 \u092a\u0947\u0928\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e] + [\u0916\u0930\u093e\u092c \u092a\u0947\u0928\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e] = [132] + [12] = 144<br \/>\n\u0905\u0924\u0903 \u090f\u0915 \u0905\u091a\u094d\u091b\u093e \u092a\u0947\u0928 \u0928\u093f\u0915\u093e\u0932\u0947 \u091c\u093e\u0928\u0947 \u0915\u0947 144 \u092a\u0930\u093f\u0923\u093e\u092e \u0939\u094b \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<br \/>\n\u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 144<br \/>\n\u092e\u093e\u0928\u093e \u0918\u091f\u0928\u093e E, \u201c\u090f\u0915 \u0905\u091a\u094d\u091b\u0947 \u092a\u0947\u0928 \u0915\u093e \u0928\u093f\u0915\u0932\u0928\u093e&#8221; \u0939\u0948\u0964<br \/>\n\u0914\u0930 \u0905\u091a\u094d\u091b\u0947 \u092a\u0947\u0928\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 132<br \/>\nE \u0915\u0947 \u0905\u0928\u0941\u0915\u0942\u0932 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 132<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1820\/44028696821_41660e2549_o.png?resize=367%2C114&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 16\" width=\"367\" height=\"114\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 15.1 Class 10 \u0917\u0923\u093f\u0924\u00a0Q17. (i) 20 \u092c\u0932\u094d\u092c\u094b\u0902 \u0915\u0947 \u090f\u0915 \u0938\u092e\u0942\u0939 \u092e\u0947\u0902 4 \u092c\u0932\u094d\u092c \u0916\u0930\u093e\u092c \u0939\u0948\u0902 | \u0907\u0938 \u0938\u092e\u0942\u0939 \u092e\u0947\u0902 \u0938\u0947 \u090f\u0915 \u092c\u0932\u094d\u092c \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u092f\u093e \u0928\u093f\u0915\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948 | \u0928\u093f\u0915\u093e\u0932\u0947 \u0917\u090f \u092a\u0947\u0928 \u0915\u093f \u0905\u091a\u094d\u091b\u093e \u0939\u0948 | \u0907\u0938\u0915\u0940 \u0915\u094d\u092f\u093e \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948 \u0915\u093f \u092f\u0939 \u092c\u0932\u094d\u092c \u0916\u0930\u093e\u092c \u0939\u094b\u0917\u093e ?\u00a0\u00a0<\/strong><br \/>\n<strong>\u0939\u0932\u0903<\/strong><br \/>\n(i) \u0915\u0941\u0932 \u092c\u0932\u094d\u092c\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 20<br \/>\n\u0938\u092e\u094d\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 20<br \/>\n\u0916\u0930\u093e\u092c \u092c\u0932\u094d\u092c\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 4<br \/>\n\u0905\u0928\u0941\u0915\u0942\u0932 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 4<br \/>\n\u092e\u093e\u0928\u093e \u0918\u091f\u0928\u093e E, \u201c\u0928\u093f\u0915\u093e\u0932\u093e \u0917\u092f\u093e \u092c\u0932\u094d\u092c \u0915\u093e \u0916\u0930\u093e\u092c \u0939\u094b\u0928\u093e&#8221; \u0939\u0948\u0964<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1816\/44028697011_f4de140a97_o.png?resize=297%2C145&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 17\" width=\"297\" height=\"145\" data-recalc-dims=\"1\" \/><br \/>\n(ii) \u091a\u0942\u0902\u0915\u093f \u090a\u092a\u0930 \u0928\u093f\u0915\u093e\u0932\u093e \u0917\u092f\u093e \u092c\u0932\u094d\u092c \u0916\u0930\u093e\u092c \u0928\u0939\u0940\u0902 \u0939\u0948\u0964 \u0914\u0930 \u0907\u0938\u0947 \u0926\u0941\u092c\u093e\u0930\u093e \u092c\u0932\u094d\u092c\u094b\u0902 \u0915\u0947 \u0938\u093e\u0925 \u0928\u0939\u0940\u0902 \u092e\u093f\u0932\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964<br \/>\n\u0936\u0947\u0937 \u092c\u0932\u094d\u092c\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 20 &#8211; 1 = 19;<br \/>\n\u0916\u0930\u093e\u092c \u092c\u0932\u094d\u092c\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 4<br \/>\n\u0936\u0947\u0937 \u092c\u091a\u0947 \u092c\u0932\u094d\u092c\u094b\u0902 \u092e\u0947\u0902 \u0905\u091a\u094d\u091b\u0947 \u092c\u0932\u094d\u092c\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 19 &#8211; 4 = 15<br \/>\n\u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930, \u090f\u0915 \u0905\u091a\u094d\u091b\u0947 \u092c\u0932\u094d\u092c \u0915\u0947 \u0928\u093f\u0915\u0932\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f\u0964 \u0905\u0928\u0941\u0915\u0942\u0932 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 15<br \/>\n\u091a\u0942\u0902\u0915\u093f \u0936\u0947\u0937 \u092c\u091a\u0947 \u0915\u0941\u0932 \u092c\u0932\u094d\u092c 19 \u0939\u0948, \u0907\u0938\u0932\u093f\u090f \u0938\u092d\u0940 \u0938\u0902\u092d\u0935 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 19<br \/>\n\u092e\u093e\u0928\u093e \u0918\u091f\u0928\u093e E, &#8216;\u0928\u093f\u0915\u093e\u0932\u093e \u0917\u092f\u093e \u092c\u0932\u094d\u092c \u0916\u0930\u093e\u092c \u0928\u0939\u0940\u0902 \u0939\u0948&#8217; \u0915\u094b \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1795\/44028696921_89b6732cc0_o.png?resize=320%2C112&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 17.1\" width=\"320\" height=\"112\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 15.1 Class 10 \u0917\u0923\u093f\u0924\u00a0Q18. \u090f\u0915 \u092a\u0947\u091f\u0940 \u092e\u0947\u0902 90 \u0921\u093f\u0938\u094d\u0915 (discs) \u0939\u0948\u0902, \u091c\u093f\u0928 \u092a\u0930 1 \u0938\u0947 90 \u0924\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0905\u0902\u0915\u093f\u0924 \u0939\u0948\u0902 | \u092f\u0926\u093f \u0907\u0938 \u092a\u0947\u091f\u0940 \u092e\u0947\u0902 \u0938\u0947 \u090f\u0915 \u0921\u093f\u0938\u094d\u0915 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u092f\u093e \u0928\u093f\u0915\u093e\u0932\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948 \u0924\u094b \u0907\u0938\u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u0907\u0938 \u0921\u093f\u0938\u094d\u0915 \u092a\u0930 \u0905\u0902\u0915\u093f\u0924 \u0939\u094b\u0917\u0940 :<\/strong><\/p>\n<p><strong>(i) \u0926\u094b \u0905\u0902\u0915\u094b\u0902 \u0915\u093f \u090f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e<\/strong><\/p>\n<p><strong>(ii) \u090f\u0915 \u092a\u0942\u0930\u094d\u0923 \u0935\u0930\u094d\u0917 \u0938\u0902\u0916\u094d\u092f\u093e<\/strong><\/p>\n<p><strong>(iii) 5 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f \u090f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e |<\/strong><br \/>\n<strong>\u0939\u0932\u0903<\/strong> \u092a\u0947\u091f\u0940 \u092e\u0947\u0902 \u0921\u093f\u0938\u094d\u0915\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 90<br \/>\n\u090f\u0915 \u0921\u093f\u0938\u094d\u0915 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u0947 90 \u0938\u092e\u094d\u092d\u0935 \u092a\u0930\u093f\u0923\u093e\u092e \u0939\u094b \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<br \/>\n(i) \u091a\u0942\u0902\u0915\u093f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0921\u093f\u0938\u094d\u0915 \u092a\u0930 \u090f\u0915 \u0905\u0902\u0915 (1 \u0938\u0947 90 \u0924\u0915) \u0905\u0902\u0915\u093f\u0924 \u0939\u0948\u0902\u0964<br \/>\n\u0910\u0938\u0940 \u0921\u093f\u0938\u094d\u0915\u094b \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u093f\u0928 \u092a\u0930 2 \u0905\u0902\u0915\u094b\u0902 \u0935\u093e\u0932\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0905\u0902\u0915\u093f\u0924 \u0939\u0948\u0902 = 90 &#8211; (1 \u0905\u0902\u0915 \u0935\u093e\u0932\u0940 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901) = 90 &#8211; 9 = 81<br \/>\n1, 2, 3, 4, 5, 6, 7, 8 \u0914\u0930 9 \u090f\u0915 \u0905\u0902\u0915 \u0935\u093e\u0932\u0940 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0939\u0948\u0902\u0964<br \/>\n\u0905\u0928\u0941\u0915\u0942\u0932 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 81<br \/>\n\u092e\u093e\u0928\u093e \u0918\u091f\u0928\u093e E&#8221; \u0928\u093f\u0915\u093e\u0932\u0940 \u0917\u0908 \u0921\u093f\u0938\u094d\u0915 \u092a\u0930 \u0926\u094b \u0905\u0902\u0915\u094b\u0902 \u0935\u093e\u0932\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093e \u0905\u0902\u0915\u093f\u0924 \u0939\u094b\u0928\u093e&#8221; \u0939\u0948\u0964<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1817\/44028697411_e474784b81_o.png?resize=328%2C143&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 18\" width=\"328\" height=\"143\" data-recalc-dims=\"1\" \/><br \/>\n(ii) \u091a\u0942\u0902\u0915\u093f 1 \u0938\u0947 90 \u0924\u0915 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u092e\u0947\u0902 90 \u092a\u0942\u0930\u094d\u0923 \u0935\u0930\u094d\u0917 \u0905\u0930\u094d\u0925\u093e\u0924\u094d 1, 4, 9, 16, 25, 36, 49, 64 \u0914\u0930 81 \u0939\u0948\u0964<br \/>\n\u0905\u0928\u0941\u0915\u0942\u0932 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 9<br \/>\n\u092e\u093e\u0928\u093e \u0918\u091f\u0928\u093e E, &#8216;\u0928\u093f\u0915\u093e\u0932\u0940 \u0917\u0908 \u0921\u093f\u0938\u094d\u0915 \u092a\u0930 \u090f\u0915 \u092a\u0942\u0930\u094d\u0923 \u0935\u0930\u094d\u0917 \u0905\u0902\u0915\u093f\u0924 \u0939\u094b\u0928\u093e \u0939\u0948\u0964<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1794\/44028697081_63a1f54458_o.png?resize=327%2C145&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 18.1\" width=\"327\" height=\"145\" data-recalc-dims=\"1\" \/><br \/>\n(iii) \u091a\u0942\u0902\u0915\u093f 1 \u0938\u0947 90 \u0924\u0915 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u092e\u0947\u0902 5 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901:<br \/>\n5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85 \u0914\u0930 90 \u0939\u0948\u0902\u0964<br \/>\n\u091c\u093f\u0928\u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e 18 \u0939\u0948\u0964 \u092e\u093e\u0928\u093e \u0918\u091f\u0928\u093e E, \u201c\u0928\u093f\u0915\u093e\u0932\u0940 \u0917\u0908 \u0921\u093f\u0938\u094d\u0915 \u092a\u0930 \u0905\u0902\u0915\u093f\u0924 \u0938\u0902\u0916\u094d\u092f\u093e 5 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f&#8221; \u0939\u0948\u0964<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1820\/44028697331_e28375d329_o.png?resize=340%2C144&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 18.2\" width=\"340\" height=\"144\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 15.1 Class 10 \u0917\u0923\u093f\u0924\u00a0Q19. \u090f\u0915 \u092c\u091a\u094d\u091a\u0947 \u0915\u0947 \u092a\u093e\u0938 \u0910\u0938\u093e \u092a\u093e\u0938\u093e \u0939\u0948 \u091c\u093f\u0938\u0915\u0947 \u092b\u0932\u0915\u094b\u0902 \u092a\u0930 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0905\u0915\u094d\u0937\u0930 \u0905\u0902\u0915\u093f\u0924 \u0939\u0948 :<\/strong><\/p>\n<p><img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm1.staticflickr.com\/916\/42913498194_40c189eb6a_o.png?resize=311%2C53&#038;ssl=1\" alt=\"NCERT Solutions For Class 10 Maths Probability 15.1 1\" width=\"311\" height=\"53\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>\u0907\u0938 \u092a\u093e\u0938\u0947 \u0915\u094b \u090f\u0915 \u092c\u093e\u0930 \u092b\u0947\u0902\u0915\u093e \u091c\u093e\u0924\u093e \u0939\u0948 | \u0907\u0938\u0915\u0940 \u0915\u094d\u092f\u093e \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948 \u0915\u093f\u00a0<\/strong><\/p>\n<p><strong>(i) A \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b ?<\/strong><\/p>\n<p><strong>(ii) D \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b ?<\/strong><br \/>\n<strong>\u0939\u0932\u0903<\/strong> \u091a\u0942\u0902\u0915\u093f \u092a\u093e\u0938\u0947 \u0915\u0947 6 \u092b\u0932\u0915\u094b\u0902 \u092a\u0930 \u0905\u0902\u0915\u093f\u0924 \u0905\u0915\u094d\u0937\u0930 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0939\u0948\u0902:<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1778\/44028697461_e4b84d47ac_o.png?resize=347%2C44&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 19.1\" width=\"347\" height=\"44\" data-recalc-dims=\"1\" \/><br \/>\n\u092b\u0947\u0902\u0915\u0947 \u091c\u093e\u0928\u0947 \u092a\u0930 \u090f\u0915 \u0905\u0915\u094d\u0937\u0930 \u091b\u0903 \u092a\u094d\u0930\u0915\u093e\u0930 \u0938\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<br \/>\n\u0938\u092e\u094d\u092d\u0935 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e = 6<br \/>\n(i) \u091a\u0942\u0902\u0915\u093f \u0926\u094b \u092b\u0932\u0915\u094b\u0902 \u092a\u0930 \u0905\u0915\u094d\u0937\u0930 A \u0905\u0902\u0915\u093f\u0924 \u0939\u0948\u0964<br \/>\n\u0905\u0915\u094d\u0937\u0930 A \u0926\u094b \u092a\u094d\u0930\u0915\u093e\u0930 \u0938\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b \u0938\u0915\u0924\u093e \u0939\u0948\u0964<br \/>\n\u0905\u0928\u0941\u0915\u0942\u0932 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 2<br \/>\n\u092e\u093e\u0928\u093e \u0918\u091f\u0928\u093e E \u201c\u0905\u0915\u094d\u0937\u0930 A \u0915\u093e \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0928\u093e&#8221; \u0939\u0948,<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1793\/44028697541_13a9d58be5_o.png?resize=300%2C148&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 19.2\" width=\"300\" height=\"148\" data-recalc-dims=\"1\" \/><br \/>\n(ii) \u091a\u0942\u0902\u0915\u093f \u0915\u0947\u0935\u0932 \u090f\u0915 \u092b\u0932\u0915 \u092a\u0930 \u0905\u0915\u094d\u0937\u0930 D \u0905\u0902\u0915\u093f\u0924 \u0939\u0948\u0964<br \/>\n\u0905\u0928\u0941\u0915\u0942\u0932 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 1<br \/>\n\u092e\u093e\u0928\u093e \u0918\u091f\u0928\u093e E &#8220;\u0905\u0915\u094d\u0937\u0930 D \u0935\u093e\u0932\u093e \u092b\u0932\u0915 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b&#8221; \u0939\u0948,<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1819\/44028697611_61afd072aa_o.png?resize=306%2C117&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 19.3\" width=\"306\" height=\"117\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 15.1 Class 10 \u0917\u0923\u093f\u0924\u00a0Q20. \u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u092f\u0947 \u0906\u092a \u090f\u0915 \u092a\u093e\u0938\u0947 \u0915\u094b \u0906\u0915\u0943\u0924\u093f 15.6 \u092e\u0947\u0902 \u0926\u0930\u094d\u0936\u093e\u090f \u0906\u092f\u0924\u093e\u0915\u093e\u0930 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u092e\u0947\u0902 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u092f\u093e \u0930\u0942\u092a \u0938\u0947 \u0917\u093f\u0930\u093e\u0924\u0947 \u0939\u0948\u0902 | \u0907\u0938\u0915\u0940 \u0915\u094d\u092f\u093e \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948 \u0915\u093f \u0935\u0939 \u092a\u093e\u0938\u093e 1m \u0935\u094d\u092f\u093e\u0938 \u0935\u093e\u0932\u0947 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0905\u0928\u094d\u0926\u0930 \u0917\u093f\u0930\u0947\u0917\u093e ?<\/strong><\/p>\n<p><img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i2.wp.com\/farm1.staticflickr.com\/857\/42913498054_7b4a090a1b_o.png?resize=302%2C191&#038;ssl=1\" alt=\"NCERT Solutions For Class 10 Maths Probability PDF 15.1 2\" width=\"302\" height=\"191\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1832\/43122554725_bdb949b183_o.png?resize=377%2C493&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 20\" width=\"377\" height=\"493\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1780\/43122554585_80a09bc0d7_o.png?resize=203%2C89&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 20.1\" width=\"203\" height=\"89\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 15.1 Class 10 \u0917\u0923\u093f\u0924\u00a0Q21. 144 \u092c\u093e\u0932 \u092a\u0947\u0928\u094b\u0902 \u0915\u0947 \u090f\u0915 \u0938\u092e\u0942\u0939 \u092e\u0947\u0902 20 \u092c\u093e\u0932 \u092a\u0947\u0928 \u0916\u0930\u093e\u092c \u0939\u0948\u0902 \u0914\u0930 \u0936\u0947\u0937 \u0905\u091a\u094d\u091b\u0947 \u0939\u0948\u0902 | \u0906\u092a \u0935\u093e\u0939\u0940 \u092a\u0947\u0928 \u0916\u0930\u0940\u0926\u0928\u093e \u091a\u093e\u0939\u0947\u0902\u0917\u0947 \u091c\u094b \u0905\u091a\u094d\u091b\u093e \u0939\u094b, \u092a\u0930\u0928\u094d\u0924\u0941 \u0916\u0930\u093e\u092c \u092a\u0947\u0928 \u0906\u092a \u0916\u0930\u0940\u0926\u0928\u093e \u0928\u0939\u0940\u0902 \u091a\u093e\u0939\u0947\u0902\u0917\u0947 | \u0926\u0941\u0915\u093e\u0928\u0926\u093e\u0930 \u0907\u0928 \u092a\u0947\u0928\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947, \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u092f\u093e \u090f\u0915 \u092a\u0947\u0928 \u0928\u093f\u0915\u093e\u0932\u0915\u0930 \u0906\u092a\u0915\u094b \u0926\u0947\u0924\u093e \u0939\u0948 | \u0907\u0938\u0915\u0940 \u0915\u094d\u092f\u093e \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948 \u0915\u093f<\/strong><\/p>\n<p><strong>(i) \u0906\u092a \u0935\u0939 \u092a\u0947\u0928 \u0916\u0930\u0940\u0926\u0947\u0902\u0917\u0947 ?<\/strong><\/p>\n<p><strong>(ii) \u0906\u092a \u0935\u0939 \u092a\u0947\u0928 \u0928\u0939\u0940\u0902 \u0916\u0930\u0940\u0926\u0947\u0902\u0917\u0947 ?<\/strong><br \/>\n<strong>\u0939\u0932\u0903<\/strong> \u092c\u0949\u0932 \u092a\u0947\u0928\u094b\u0902 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e = 144<br \/>\n1 \u092a\u0947\u0928 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u0947 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 144<br \/>\n(i) \u091a\u0942\u0902\u0915\u093f \u0916\u0930\u093e\u092c \u092a\u0947\u0928\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 20<br \/>\n\u0905\u091a\u094d\u091b\u0947 \u092a\u0947\u0928\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 144 &#8211; 20 = 124<br \/>\n\u0905\u0928\u0941\u0915\u0942\u0932 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 124<br \/>\n\u092e\u093e\u0928\u093e \u0918\u091f\u0928\u093e E, \u201c\u0905\u091a\u094d\u091b\u093e \u092a\u0947\u0928 \u0916\u0930\u0940\u0926\u0928\u093e&#8221; \u0939\u0948\u0964<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1777\/44028697951_94d6ee7b1f_o.png?resize=372%2C284&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 21\" width=\"372\" height=\"284\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 15.1 Class 10 \u0917\u0923\u093f\u0924\u00a0Q22. \u0909\u0926\u093e\u0939\u0930\u0923 13 \u0915\u094b \u0926\u0947\u0916\u093f\u090f | (i) \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u093e\u0930\u0923\u0940 \u0915\u094b \u092a\u0942\u0930\u093e \u0915\u0940\u091c\u093f\u090f :<\/strong><\/p>\n<p><img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm1.staticflickr.com\/936\/28742935867_17eb9dbb9f_o.png?resize=551%2C160&#038;ssl=1\" alt=\"NCERT Maths Solutions For Class 10 Probability 15.1 3\" width=\"551\" height=\"160\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>(ii) \u090f\u0915 \u0935\u093f\u0927\u093e\u0930\u094d\u0925\u0940 \u092f\u0939 \u0924\u0930\u094d\u0915 \u0926\u0947\u0924\u093e \u0939\u0948 \u0915\u093f &#8216;\u092f\u0939\u093e\u0901 \u0915\u0941\u0932 11 \u092a\u0930\u093f\u0923\u093e\u092e 2,3,4,5,6,7,8,9,10,11 \u0914\u0930 12 \u0939\u0948 | \u0905\u0924\u0903 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0915\u093f \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e 1\/11 \u0939\u0948|&#8217; \u0915\u094d\u092f\u093e \u0906\u092a \u0907\u0938 \u0924\u0930\u094d\u0915 \u0938\u0947 \u0938\u0939\u092e\u0924 \u0939\u0948 ? \u0938\u0915\u093e\u0930\u0923 \u0909\u0924\u094d\u0924\u0930 \u0926\u0940\u091c\u093f\u090f |<\/strong><br \/>\n<strong>\u0939\u0932\u0903<\/strong> \u091c\u092c \u0928\u0940\u0932\u093e \u092a\u093e\u0938\u093e &#8216;1&#8217; \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948, \u0924\u094b \u0938\u0932\u0947\u091f\u0940 \u092a\u093e\u0938\u0947 \u092a\u0930 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 1, 2, 3, 4, 5, 6 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094b\u0908 \u092d\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u094b \u0938\u0915\u0924\u0940 \u0939\u0948\u0964 \u092f\u0939\u0940<br \/>\n\u0924\u092c \u092d\u0940 \u0939\u094b\u0917\u093e, \u091c\u092c \u0928\u0940\u0932\u0947 \u092a\u093e\u0938\u0947 \u092a\u0930 &#8216;2&#8217;, &#8216;3&#8217;, &#8216;4&#8217;, &#8216;5&#8217; \u092f\u093e &#8216;6&#8217; \u0939\u094b\u0917\u093e\u0964 \u0907\u0938 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0947 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u094b \u0928\u0940\u091a\u0947 \u0938\u093e\u0930\u0923\u0940 \u092e\u0947\u0902 \u0926\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0915\u094d\u0930\u092e\u093f\u0924 \u092f\u0941\u0917\u094d\u092e \u0915\u0940 \u092a\u0939\u0932\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0928\u0940\u0932\u0947 \u092a\u093e\u0938\u0947 \u092a\u0930 \u0906\u0928\u0947 \u0935\u093e\u0932\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 \u0924\u0925\u093e \u0926\u0942\u0938\u0930\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0932\u0947\u091f\u0940 \u092a\u093e\u0938\u0947 \u092a\u0930 \u0906\u0928\u0947 \u0935\u093e\u0932\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948\u0964<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1818\/29091271657_5cc365e436_o.png?resize=615%2C346&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 22.1\" width=\"615\" height=\"346\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1793\/29091271717_53b5131b83_o.png?resize=818%2C409&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 22.2\" width=\"818\" height=\"409\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1819\/29091271777_15d9033a5a_o.png?resize=805%2C623&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 22.3\" width=\"805\" height=\"623\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1779\/29091271847_1b6e8809b5_o.png?resize=799%2C444&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 22.4\" width=\"799\" height=\"444\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1797\/29091271957_c1d4182b5a_o.png?resize=794%2C316&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 22.5\" width=\"794\" height=\"316\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong> Ex 15.1 Class 10 \u0917\u0923\u093f\u0924\u00a0Q23. \u090f\u0915 \u0916\u0947\u0932 \u092e\u0947\u0902 \u090f\u0915 \u0930\u0942\u092a\u090f \u0915\u0947 \u0938\u093f\u0915\u094d\u0915\u0947 \u0915\u094b \u0924\u0940\u0928 \u092c\u093e\u0930 \u0909\u091b\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092c\u093e\u0930 \u0915\u093e \u092a\u0930\u093f\u0923\u093e\u092e \u0932\u093f\u0916 \u0932\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 | \u0924\u0940\u0928\u094b\u0902 \u092a\u0930\u093f\u0923\u093e\u092e \u0938\u092e\u093e\u0928 \u0939\u094b\u0928\u0947 \u092a\u0930, \u0905\u0930\u094d\u0925\u093e\u0924\u094d \u0924\u0940\u0928 \u091a\u093f\u0924 \u092f\u093e \u0924\u0940\u0928 \u092a\u091f \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0928\u0947 \u092a\u0930, \u0939\u0928\u0940\u092b \u0916\u0947\u0932 \u092e\u0947\u0902 \u091c\u0940\u0924 \u091c\u093e\u090f\u0917\u093e, \u0905\u0928\u094d\u092f\u0925\u093e \u0935\u0939 \u0939\u093e\u0930 \u091c\u093e\u090f\u0917\u093e | \u0939\u0928\u0940\u092b \u0915\u0947 \u0916\u0947\u0932 \u092e\u0947\u0902 \u0939\u093e\u0930 \u091c\u093e\u0928\u0947 \u0915\u093f \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u092a\u0930\u093f\u0915\u0932\u093f\u0924 \u0915\u0940\u091c\u093f\u090f |<\/strong><br \/>\n<strong>\u0939\u0932\u0903<\/strong> \u090f\u0915 \u0938\u093f\u0915\u094d\u0915\u0947 \u0915\u094b \u0909\u091b\u093e\u0932\u0928\u0947 \u092a\u0930, \u092e\u093e\u0928\u093e \u091a\u093f\u0924 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0928\u093e H \u0914\u0930 \u092a\u091f \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0928\u093e T \u0939\u0948\u0964<br \/>\n\u090f\u0915 \u0938\u093f\u0915\u094d\u0915\u0947 \u0915\u094b \u0924\u0940\u0928 \u092c\u093e\u0930 \u0909\u091b\u093e\u0932\u0928\u0947 \u092a\u0930 \u0939\u092e\u0947\u0902 \u0928\u093f\u092e\u094d\u0928\u093e\u0902\u0915\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b \u0938\u0915\u0924\u0947 \u0939\u0948\u0902:<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1778\/29091272077_095709e065_o.png?resize=753%2C306&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 23\" width=\"753\" height=\"306\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 15.1 Class 10 \u0917\u0923\u093f\u0924\u00a0Q24.\u090f\u0915 \u092a\u093e\u0938\u0947 \u0915\u094b \u0926\u094b \u092c\u093e\u0930 \u092b\u0947\u0902\u0915\u093e \u091c\u093e\u0924\u093e \u0939\u0948 | \u0907\u0938\u0915\u0940 \u0915\u094d\u092f\u093e \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948 \u0915\u093f<\/strong><\/p>\n<p><strong>(i) 5 \u0915\u093f\u0938\u0940 \u092d\u0940 \u092c\u093e\u0930 \u092e\u0947\u0902 \u0928\u0939\u0940\u0902 \u0906\u090f\u0917\u093e ?<\/strong><\/p>\n<p><strong>(ii) 5 \u0915\u092e \u0938\u0947 \u0915\u092e \u090f\u0915 \u092c\u093e\u0930 \u0906\u090f\u0917\u093e ?<\/strong><\/p>\n<p><strong>[\u0938\u0902\u0915\u0947\u0924 : \u090f\u0915 \u092a\u093e\u0938\u0947 \u0915\u094b \u0926\u094b \u092c\u093e\u0930 \u092b\u0947\u0902\u0915\u0928\u093e \u0914\u0930 \u0926\u094b \u092a\u093e\u0938\u094b\u0902 \u0915\u094b \u090f\u0915 \u0938\u093e\u0925 \u092b\u0947\u0902\u0915\u0928\u093e \u090f\u0915 \u0939\u0940 \u092a\u094d\u0930\u092f\u094b\u0917 \u092e\u093e\u0928\u093e \u091c\u093e\u0924\u093e \u0939\u0948 |]<\/strong><br \/>\n<strong>\u0939\u0932\u0903<\/strong> \u090f\u0915 \u092a\u093e\u0938\u0947 \u0915\u094b \u0926\u094b \u092c\u093e\u0930 \u092b\u0947\u0902\u0915\u0928\u093e \u092f\u093e \u0926\u094b \u092a\u093e\u0938\u094b\u0902 \u0915\u094b \u090f\u0915 \u0938\u093e\u0925 \u092b\u0947\u0902\u0915\u0928\u093e \u090f\u0915 \u0939\u0940 \u0918\u091f\u0928\u093e \u0939\u0948\u0964<br \/>\n\u0938\u092d\u0940 \u0938\u0902\u092d\u0935 \u092a\u0930\u093f\u0923\u093e\u092e \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0939\u0948\u0902:<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1798\/29091272217_c166e9fcab_o.png?resize=470%2C177&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 24\" width=\"470\" height=\"177\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1773\/29091272137_67daea6bcb_o.png?resize=569%2C245&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 337 24.1\" width=\"569\" height=\"245\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 15.1 Class 10 \u0917\u0923\u093f\u0924\u00a0Q25. \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u0947 \u0924\u0930\u094d\u0915 \u0938\u0924\u094d\u092f \u0939\u0948 \u0914\u0930 \u0915\u094c\u0928 \u0938\u0947 \u0924\u0930\u094d\u0915 \u0905\u0938\u0924\u094d\u092f \u0939\u0948 ? \u0938\u0915\u093e\u0930\u0923 \u0909\u0924\u094d\u0924\u0930 \u0926\u0940\u091c\u093f\u090f |<\/strong><\/p>\n<p><strong>(i) \u092f\u0926\u093f \u0926\u094b \u0938\u093f\u0915\u094d\u0915\u094b\u0902 \u0915\u094b \u090f\u0915 \u0938\u093e\u0925 \u0909\u091b\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u094b \u0907\u0938\u0915\u0947 \u0924\u0940\u0928 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e &#8211; \u0926\u094b \u091a\u093f\u0924, \u0926\u094b \u092a\u091f \u092f\u093e \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u090f\u0915 \u092c\u093e\u0930 \u0939\u0948\u0902 | \u0905\u0924\u0903 \u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u0930\u093f\u0923\u093e\u092e \u0915\u093f \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e 1\/3 \u0939\u0948 |<\/strong><\/p>\n<p><strong>(ii) \u092f\u0926\u093f \u090f\u0915 \u092a\u093e\u0938\u0947 \u0915\u094b \u092b\u0947\u0902\u0915\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u094b \u0907\u0938\u0915\u0947 \u0926\u094b \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092a\u0930\u093f\u0923\u093e\u092e &#8211; \u090f\u0915 \u0935\u093f\u0937\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u092f\u093e \u090f\u0915 \u0938\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948\u0902 | \u0905\u0924\u0903 \u090f\u0915 \u0935\u093f\u0937\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e 1\/2 \u0939\u0948 |<\/strong><br \/>\n<strong>\u0939\u0941\u0932\u0903<\/strong><br \/>\n(i) \u092f\u0939 \u0915\u0925\u0928 \u0905\u0938\u0924\u094d\u092f \u0939\u0948, [\u0915\u094d\u092f\u094b\u0902\u0915\u093f \u091c\u092c \u0926\u094b \u0938\u093f\u0915\u094d\u0915\u094b\u0902 \u0915\u094b \u090f\u0915 \u0938\u093e\u0925 \u0909\u091b\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u094b &#8216;\u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092e\u0947\u0902 \u0938\u0947 \u090f\u0915&#8217; \u0926\u094b \u092a\u094d\u0930\u0915\u093e\u0930 \u0938\u0947 \u092a\u0930\u093f\u0923\u093e\u092e \u0926\u0947 \u0938\u0915\u0924\u093e \u0939\u0948-\u092a\u0939\u0932\u0947 \u0938\u093f\u0915\u094d\u0915\u0947 \u0938\u0947 \u091a\u093f\u0924 \u0914\u0930 \u0926\u0942\u0938\u0930\u0947 \u0938\u093f\u0915\u094d\u0915\u0947 \u092a\u0930 \u092a\u091f \u092f\u093e \u092a\u0939\u0932\u0947 \u0938\u093f\u0915\u0947 \u0938\u0947 \u092a\u091f \u0914\u0930 \u0926\u0942\u0938\u0930\u0947 \u0938\u0947 \u091a\u093f\u0924 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b \u0938\u0915\u0924\u093e \u0939\u0948\u0964 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0926\u094b \u092c\u093e\u0930 \u091a\u093f\u0924 \u0914\u0930 \u0926\u094b \u092c\u093e\u0930 \u092a\u091f \u0906 \u0938\u0915\u0924\u093e \u0939\u0948] \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u0930\u093f\u0923\u093e\u092e \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e<br \/>\n\\(\\frac { 1 }{ 4 }\\) \u0939\u0948\u0964 \\(\\frac { 1 }{ 3 }\\) \u0928\u0939\u0940\u0902\u0964<br \/>\n(ii) \u0939\u093e\u0901, \u092f\u0939 \u0915\u0925\u0928 \u0938\u0924\u094d\u092f \u0939\u0948\u0964<\/p>\n<p><strong><span style=\"color: #0000ff;\"><a id=\"probability-ex-15.2-in-hindi\"><\/a>\u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 15.2<\/span>\u00a0<\/strong><\/p>\n<p><strong>Ex 15.2 Class 10 \u0917\u0923\u093f\u0924 Q1. \u0926\u094b \u0917\u094d\u0930\u093e\u0939\u0915 \u0936\u094d\u092f\u093e\u092e \u0914\u0930 \u090f\u0915\u0924\u093e \u090f\u0915 \u0935\u093f\u0936\u0947\u0937 \u0926\u0941\u0915\u093e\u0928 \u092a\u0930 \u090f\u0915 \u0939\u0940 \u0938\u092a\u094d\u0924\u093e\u0939 \u092e\u0947\u0902 \u091c\u093e \u0930\u0939\u0947 \u0939\u0948\u0902 ( \u092e\u0902\u0917\u0932\u0935\u093e\u0930 \u0938\u0947 \u0936\u0928\u093f\u0935\u093e\u0930 \u0924\u0915 ) | \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u0941\u0915\u093e\u0928 \u092a\u0930 \u0915\u093f\u0938\u0940 \u0926\u093f\u0928 \u092f\u093e \u0915\u093f\u0938\u0940 \u0905\u0928\u094d\u092f \u0926\u093f\u0928 \u091c\u093e\u0928\u0947 \u0915\u0947 \u092a\u0930\u093f\u0923\u093e\u092e \u0938\u092e\u092a\u094d\u0930\u093e\u092f\u093f\u0915 \u0939\u0948 | \u0907\u0938\u0915\u0940 \u0915\u094d\u092f\u093e \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948 \u0915\u093f \u0926\u094b\u0928\u094b\u0902 \u0909\u0938 \u0926\u0941\u0915\u093e\u0928 \u092a\u0930<\/strong><\/p>\n<p><strong>(i) \u090f\u0915 \u0939\u0940 \u0926\u093f\u0928 \u091c\u093e\u090f\u0901\u0917\u0947 ?<\/strong><\/p>\n<p><strong>(ii) \u0915\u094d\u0930\u092e\u093e\u0917\u0924 \u0926\u093f\u0928\u094b\u0902 \u092e\u0947\u0902 \u091c\u093e\u090f\u0901\u0917\u0947 ?<\/strong><\/p>\n<p><strong>(iii) \u092d\u093f\u0928\u094d\u0928 &#8211; \u092d\u093f\u0928\u094d\u0928 \u0926\u093f\u0928\u094b\u0902 \u092e\u0947\u0902 \u091c\u093e\u090f\u0901\u0917\u0947 ?<\/strong><br \/>\n<strong>\u0939\u0932\u0903<\/strong> \u092f\u0926\u093f \u092e\u0902\u0917\u0932\u0935\u093e\u0930 \u0915\u094b T \u0938\u0947, \u092c\u0941\u0927\u0935\u093e\u0930 \u0915\u094b W \u0938\u0947, \u0935\u0940\u0930\u0935\u093e\u0930 \u0915\u094b Th \u0938\u0947, \u0924\u0925\u093e \u0936\u0928\u093f\u0935\u093e\u0930 \u0915\u094b S \u0938\u0947 \u092a\u094d\u0930\u0915\u091f \u0915\u0930\u0947\u0902, \u0924\u094b \u0917\u094d\u0930\u093e\u0939\u0915\u094b\u0902 \u0936\u094d\u092f\u093e\u092e \u0914\u0930<br \/>\n\u090f\u0915\u0924\u093e \u0926\u094d\u0935\u093e\u0930\u093e \u090f\u0915 \u0935\u093f\u0936\u0947\u0937 \u0926\u0941\u0915\u093e\u0928 \u092a\u0930 \u090f\u0915 \u0939\u0940 \u0938\u092a\u094d\u0924\u093e\u0939 (\u092e\u0902\u0917\u0932\u0935\u093e\u0930 \u0938\u0947 \u0936\u0928\u093f\u0935\u093e\u0930) \u092e\u0947\u0902 \u091c\u093e\u0928\u0947 \u0915\u0947 \u0938\u092d\u0940 \u0938\u0902\u092d\u0935 \u092a\u0930\u093f\u0923\u093e\u092e \u0928\u093f\u092e\u094d\u0928\u093e\u0902\u0915\u093f\u0924 \u0939\u094b \u0938\u0915\u0924\u0947 \u0939\u0948\u0902:<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1794\/29091272367_6fce216334_o.png?resize=748%2C282&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 341 1\" width=\"748\" height=\"282\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1811\/29091272297_808926d601_o.png?resize=758%2C392&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 341 1.1\" width=\"758\" height=\"392\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 15.2 Class 10 \u0917\u0923\u093f\u0924\u00a0Q2. \u090f\u0915 \u092a\u093e\u0938\u0947 \u0915\u0947 \u092b\u0932\u0915\u094b\u0902 \u092a\u0930 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 1,2,2,3,3, \u0914\u0930 6 \u0932\u093f\u0916\u0940 \u0939\u0941\u0908 \u0939\u0948\u0902 | \u0907\u0938\u0947 \u0926\u094b \u092c\u093e\u0930 \u092b\u0947\u0902\u0915\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u0925\u093e \u0926\u094b\u0928\u094b\u0902 \u092c\u093e\u0930 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u0941\u0908 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u092f\u094b\u0917 \u0932\u093f\u0916 \u0932\u093f\u090f \u091c\u093e\u0924\u0947 \u0939\u0948\u0902 | \u0926\u094b\u0928\u094b\u0902 \u092c\u093e\u0930 \u092b\u0947\u0902\u0915\u0928\u0947 \u0915\u0947 \u092c\u093e\u0926, \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u092f\u094b\u0917 \u0915\u0947 \u0915\u0941\u091b \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u092e\u093e\u0928 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u093e\u0930\u0923\u0940 \u092e\u0947\u0902 \u0926\u093f\u090f \u0939\u0948\u0902 \u0907\u0938 \u0938\u093e\u0930\u0923\u0940 \u0915\u094b \u092a\u0942\u0930\u093e \u0915\u0940\u091c\u093f\u090f |<\/strong><\/p>\n<p><img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/i1.wp.com\/farm1.staticflickr.com\/934\/42913497814_a696a59301_o.png?resize=407%2C164&#038;ssl=1\" alt=\"Maths NCERT Solutions For Class 10 Probability 15.1 4\" width=\"407\" height=\"164\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>\u0907\u0938\u0915\u0940 \u0915\u094d\u092f\u093e \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948 \u0915\u093f \u0915\u0941\u0932 \u092f\u094b\u0917\u00a0<\/strong><\/p>\n<p><strong>(i) \u090f\u0915 \u0938\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u094b\u0917\u093e ?<\/strong><\/p>\n<p><strong>(ii) 6 \u0939\u0948 ?<\/strong><\/p>\n<p><strong>(iii) \u0915\u092e \u0938\u0947 \u0915\u092e 6 \u0939\u0948 ?<\/strong><br \/>\n<strong>\u0939\u0932\u0903<\/strong> \u092a\u0942\u0930\u093e \u0915\u0930\u0928\u0947 \u092a\u0930 \u0938\u093e\u0930\u0923\u0940 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0939\u0948:<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1838\/29091272477_7589b67a76_o.png?resize=613%2C270&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 341 2.1\" width=\"613\" height=\"270\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1832\/29091272537_793573cc2f_o.png?resize=387%2C634&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 341 2.2\" width=\"387\" height=\"634\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 15.2 Class 10 \u0917\u0923\u093f\u0924\u00a0Q3. \u090f\u0915 \u0925\u0948\u0932\u0947 \u092e\u0947\u0902 5 \u0932\u093e\u0932 \u0917\u0947\u0902\u0926 \u0914\u0930 \u0915\u0941\u091b \u0928\u0940\u0932\u0940 \u0917\u0947\u0902\u0926\u0947 \u0939\u0948 \u092f\u0926\u093f \u0907\u0938 \u0925\u0948\u0932\u0947 \u092e\u0947\u0902 \u0938\u0947 \u0928\u0940\u0932\u0940 \u0917\u0947\u0902\u0926 \u0928\u093f\u0915\u0932\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0932\u093e\u0932 \u0917\u0947\u0902\u0926 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u093f \u0926\u0941\u0917\u0941\u0928\u0940 \u0939\u0948, \u0924\u094b \u0925\u0948\u0932\u0947 \u092e\u0947\u0902 \u0917\u0947\u0902\u0926\u094b\u0902 \u0915\u093f \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924<\/strong><br \/>\n<strong>\u0915\u0940\u091c\u093f\u090f |<\/strong><br \/>\n<strong>\u0939\u0932\u0903<\/strong> \u092e\u093e\u0928\u093e \u0925\u0948\u0932\u0947 \u092e\u0947\u0902 \u0928\u0940\u0932\u0940 \u0917\u0947\u0926\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e x \u0939\u0948\u0964<br \/>\n\u0938\u092d\u0940 \u0938\u0902\u092d\u0935 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = (\u0932\u093e\u0932 \u0917\u0947\u0902\u0926\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e) + (\u0928\u0940\u0932\u0940 \u0917\u0947\u0926\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e) = (5 + x)<br \/>\n\u092f\u0926\u093f \u0918\u091f\u0928\u093e \u201c \u0925\u0948\u0932\u0947 \u092e\u0947\u0902 \u0938\u0947 \u0928\u0940\u0932\u0940 \u0917\u0947\u0902\u0926 \u0928\u093f\u0915\u093e\u0932\u0928\u093e&#8221; \u0915\u094b E \u0938\u0947 \u0935\u094d\u092f\u0915\u094d\u0924 \u0915\u0930\u0947\u0902, \u0924\u094b<br \/>\nE \u0915\u0947 \u0905\u0928\u0941\u0915\u0942\u0932 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = x<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1814\/43980035282_ea38371aa7_o.png?resize=344%2C191&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 341 3\" width=\"344\" height=\"191\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1831\/43980035232_92a5c9bee2_o.png?resize=337%2C267&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 341 3.1\" width=\"337\" height=\"267\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 15.2 Class 10 \u0917\u0923\u093f\u0924\u00a0Q4.\u090f\u0915 \u092a\u0947\u091f\u0940 \u092e\u0947\u0902 12 \u0917\u0947\u0902\u0926\u0947 \u0939\u0948, \u091c\u093f\u0928\u092e\u0947\u0902 \u0938\u0947 x \u0917\u0947\u0902\u0926 \u0915\u093e\u0932\u0940 \u0939\u0948 | \u092f\u0926\u093f \u0907\u0938\u092e\u0947\u0902 \u0938\u0947 \u090f\u0915 \u0917\u0947\u0902\u0926 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u092f\u093e \u0928\u093f\u0915\u0932\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948, \u0924\u094b \u0907\u0938\u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u092f\u0939 \u0917\u0947\u0902\u0926 \u0915\u093e\u0932\u0940 \u0939\u0948 |<\/strong><br \/>\n<strong>\u0939\u0932\u0903<\/strong> \u092a\u0947\u091f\u0940 \u092e\u0947\u0902 \u0917\u0947\u0926\u094b\u0902 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e = 12<br \/>\n\u0938\u092d\u0940 \u0938\u0902\u092d\u0935 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 12<br \/>\n\u0905\u0935\u0938\u094d\u0925\u093e- I: \u092f\u0926\u093f \u0918\u091f\u0928\u093e &#8220;\u0928\u093f\u0915\u093e\u0932\u0940 \u0917\u0908 \u0917\u0947\u0902\u0926 \u0915\u093e\u0932\u0940 \u0939\u0948&#8221; \u0915\u094b E \u0938\u0947 \u0935\u094d\u092f\u0915\u094d\u0924 \u0915\u0930\u0947\u0902, \u0924\u094b<br \/>\nE \u0915\u0947 \u0905\u0928\u0941\u0915\u0942\u0932 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = x [\u092a\u0947\u091f\u0940 \u092e\u0947\u0902 x \u0915\u093e\u0932\u0940 \u0917\u0947\u0902\u0926\u0947 \u0939\u0948\u0902\u0964]<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm2.staticflickr.com\/1834\/43980035542_e304643564_o.png?resize=351%2C475&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 341 4\" width=\"351\" height=\"475\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm2.staticflickr.com\/1819\/43980035392_6ce4579ac4_o.png?resize=343%2C130&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 341 4.1\" width=\"343\" height=\"130\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Ex 15.2 Class 10 \u0917\u0923\u093f\u0924\u00a0Q5. \u090f\u0915 \u091c\u093e\u0930 \u092e\u0947\u0902 24 \u0915\u0902\u091a\u0947 \u0939\u0948 \u091c\u093f\u0928\u092e\u0947 \u0915\u0941\u091b \u0939\u0930\u0947 \u0939\u0948\u0902 \u0914\u0930 \u0936\u0947\u0937 \u0928\u0940\u0932\u0947 \u0939\u0948\u0902 | \u092f\u0926\u093f \u0907\u0938 \u091c\u093e\u0930 \u092e\u0947\u0902 \u0938\u0947 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u092f\u093e \u090f\u0915 \u0915\u0902\u091a\u093e \u0928\u093f\u0915\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u094b \u0907\u0938 \u0915\u0902\u091a\u0947 \u0915\u0947 \u0939\u0930\u093e \u0939\u094b\u0928\u0947 \u0915\u093f \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e 2\/3 \u0939\u0948 | \u091c\u093e\u0930 \u092e\u0947\u0902 \u0928\u0940\u0932\u0947 \u0915\u0902\u091a\u094b\u0902 \u0915\u093f \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f |\u00a0<\/strong><br \/>\n<strong>\u0939\u0932\u0903<\/strong> \u091a\u0942\u0902\u0915\u093f \u091c\u093e\u0930 \u092e\u0947\u0902 24 \u0915\u0902\u091a\u0947 \u0939\u0948\u0902\u0964<br \/>\n\u0938\u092d\u0940 \u0938\u0902\u092d\u0935 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 4<br \/>\n\u092e\u093e\u0928\u093e \u091c\u093e\u0930 \u092e\u0947\u0902 \u0928\u0940\u0932\u0947 \u0915\u091a\u0947 x \u0939\u0948\u0902\u0964<br \/>\n\u091c\u093e\u0930 \u092e\u0947\u0902 \u0939\u0930\u0947 \u0915\u0902\u091a\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = 24 &#8211; x<br \/>\n\u092f\u0926\u093f \u0918\u091f\u0928\u093e \u201c\u0928\u093f\u0915\u093e\u0932\u093e \u0917\u092f\u093e \u0915\u0902\u091a\u093e \u0939\u0930\u093e \u0939\u0948&#8221; \u0915\u094b E \u0938\u0947 \u0935\u094d\u092f\u0915\u094d\u0924 \u0915\u0930\u0947\u0902, \u0924\u094b<br \/>\nE \u0915\u0947 \u0905\u0928\u0941\u0915\u0942\u0932 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e = (24 &#8211; x)<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm2.staticflickr.com\/1772\/43980035622_ecdddd8050_o.png?resize=354%2C314&#038;ssl=1\" alt=\"UP Board Solutions for Class 10 Maths Chapter 15 Probability page 341 5\" width=\"354\" height=\"314\" data-recalc-dims=\"1\" \/><\/p>\n<p>Hope given NCERT Solutions for Class 10 Maths Chapter 15\u00a0are helpful to complete your homework.<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 10 Maths Chapter 15 Probability (Hindi Medium) These Solutions are part of NCERT Solutions for Class 10 Maths in Hindi Medium. Here we have given NCERT Solutions for Class 10 Maths Chapter 15 Probability. Chapter 15. \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e 15.1 Ex 15.1 Class 10 \u0917\u0923\u093f\u0924 Q1. \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0915\u0925\u0928\u094b\u0902 \u0915\u094b \u092a\u0942\u0930\u093e \u0915\u0940\u091c\u093f\u090f : &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths-chapter-15-hindi\/\"> <span class=\"screen-reader-text\">NCERT Solutions for Class 10 Maths Chapter 15 Probability (Hindi Medium)<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":5,"featured_media":7689,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","spay_email":""},"categories":[2],"tags":[23,22,11,20,12,21],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 10 Maths Chapter 15 Probability (Hindi Medium) - MCQ Questions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths-chapter-15-hindi\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 10 Maths Chapter 15 Probability (Hindi Medium) - MCQ Questions\" \/>\n<meta property=\"og:description\" content=\"NCERT Solutions for Class 10 Maths Chapter 15 Probability (Hindi Medium) These Solutions are part of NCERT Solutions for Class 10 Maths in Hindi Medium. Here we have given NCERT Solutions for Class 10 Maths Chapter 15 Probability. Chapter 15. \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e 15.1 Ex 15.1 Class 10 \u0917\u0923\u093f\u0924 Q1. \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0915\u0925\u0928\u094b\u0902 \u0915\u094b \u092a\u0942\u0930\u093e \u0915\u0940\u091c\u093f\u090f : &hellip; NCERT Solutions for Class 10 Maths Chapter 15 Probability (Hindi Medium) Read More &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths-chapter-15-hindi\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ Questions\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/NCERTSolutionsGuru\/\" \/>\n<meta property=\"article:published_time\" content=\"2021-07-23T06:25:49+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-03-02T04:53:23+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mcq-questions.com\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-Hindi-Medium.png\" \/>\n\t<meta property=\"og:image:width\" content=\"1280\" \/>\n\t<meta property=\"og:image:height\" content=\"720\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@ncertsolguru\" \/>\n<meta name=\"twitter:site\" content=\"@ncertsolguru\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Raju\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mcq-questions.com\/#website\",\"url\":\"https:\/\/mcq-questions.com\/\",\"name\":\"MCQ Questions\",\"description\":\"MCQ Questions for Class 1 to 12\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mcq-questions.com\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths-chapter-15-hindi\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/i2.wp.com\/mcq-questions.com\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-Hindi-Medium.png?fit=1280%2C720&ssl=1\",\"contentUrl\":\"https:\/\/i2.wp.com\/mcq-questions.com\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-Hindi-Medium.png?fit=1280%2C720&ssl=1\",\"width\":1280,\"height\":720,\"caption\":\"NCERT Solutions for Class 10 Maths Chapter 15 Probability (Hindi Medium)\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths-chapter-15-hindi\/#webpage\",\"url\":\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths-chapter-15-hindi\/\",\"name\":\"NCERT Solutions for Class 10 Maths Chapter 15 Probability (Hindi Medium) - MCQ Questions\",\"isPartOf\":{\"@id\":\"https:\/\/mcq-questions.com\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths-chapter-15-hindi\/#primaryimage\"},\"datePublished\":\"2021-07-23T06:25:49+00:00\",\"dateModified\":\"2022-03-02T04:53:23+00:00\",\"author\":{\"@id\":\"https:\/\/mcq-questions.com\/#\/schema\/person\/af617eea64a84db47d4ed295a25aaa52\"},\"breadcrumb\":{\"@id\":\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths-chapter-15-hindi\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths-chapter-15-hindi\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths-chapter-15-hindi\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mcq-questions.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"NCERT Solutions for Class 10 Maths Chapter 15 Probability (Hindi Medium)\"}]},{\"@type\":\"Person\",\"@id\":\"https:\/\/mcq-questions.com\/#\/schema\/person\/af617eea64a84db47d4ed295a25aaa52\",\"name\":\"Raju\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/mcq-questions.com\/#personlogo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/38ccf4a5413b0ede9fc79802993d6981?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/38ccf4a5413b0ede9fc79802993d6981?s=96&d=mm&r=g\",\"caption\":\"Raju\"},\"url\":\"https:\/\/mcq-questions.com\/author\/raju\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"NCERT Solutions for Class 10 Maths Chapter 15 Probability (Hindi Medium) - MCQ Questions","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths-chapter-15-hindi\/","og_locale":"en_US","og_type":"article","og_title":"NCERT Solutions for Class 10 Maths Chapter 15 Probability (Hindi Medium) - MCQ Questions","og_description":"NCERT Solutions for Class 10 Maths Chapter 15 Probability (Hindi Medium) These Solutions are part of NCERT Solutions for Class 10 Maths in Hindi Medium. Here we have given NCERT Solutions for Class 10 Maths Chapter 15 Probability. Chapter 15. \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e 15.1 Ex 15.1 Class 10 \u0917\u0923\u093f\u0924 Q1. \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0915\u0925\u0928\u094b\u0902 \u0915\u094b \u092a\u0942\u0930\u093e \u0915\u0940\u091c\u093f\u090f : &hellip; NCERT Solutions for Class 10 Maths Chapter 15 Probability (Hindi Medium) Read More &raquo;","og_url":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths-chapter-15-hindi\/","og_site_name":"MCQ Questions","article_publisher":"https:\/\/www.facebook.com\/NCERTSolutionsGuru\/","article_published_time":"2021-07-23T06:25:49+00:00","article_modified_time":"2022-03-02T04:53:23+00:00","og_image":[{"width":1280,"height":720,"url":"https:\/\/mcq-questions.com\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-Hindi-Medium.png","type":"image\/png"}],"twitter_card":"summary_large_image","twitter_creator":"@ncertsolguru","twitter_site":"@ncertsolguru","twitter_misc":{"Written by":"Raju","Est. reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebSite","@id":"https:\/\/mcq-questions.com\/#website","url":"https:\/\/mcq-questions.com\/","name":"MCQ Questions","description":"MCQ Questions for Class 1 to 12","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mcq-questions.com\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths-chapter-15-hindi\/#primaryimage","inLanguage":"en-US","url":"https:\/\/i2.wp.com\/mcq-questions.com\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-Hindi-Medium.png?fit=1280%2C720&ssl=1","contentUrl":"https:\/\/i2.wp.com\/mcq-questions.com\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-Hindi-Medium.png?fit=1280%2C720&ssl=1","width":1280,"height":720,"caption":"NCERT Solutions for Class 10 Maths Chapter 15 Probability (Hindi Medium)"},{"@type":"WebPage","@id":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths-chapter-15-hindi\/#webpage","url":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths-chapter-15-hindi\/","name":"NCERT Solutions for Class 10 Maths Chapter 15 Probability (Hindi Medium) - MCQ Questions","isPartOf":{"@id":"https:\/\/mcq-questions.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths-chapter-15-hindi\/#primaryimage"},"datePublished":"2021-07-23T06:25:49+00:00","dateModified":"2022-03-02T04:53:23+00:00","author":{"@id":"https:\/\/mcq-questions.com\/#\/schema\/person\/af617eea64a84db47d4ed295a25aaa52"},"breadcrumb":{"@id":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths-chapter-15-hindi\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths-chapter-15-hindi\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths-chapter-15-hindi\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mcq-questions.com\/"},{"@type":"ListItem","position":2,"name":"NCERT Solutions for Class 10 Maths Chapter 15 Probability (Hindi Medium)"}]},{"@type":"Person","@id":"https:\/\/mcq-questions.com\/#\/schema\/person\/af617eea64a84db47d4ed295a25aaa52","name":"Raju","image":{"@type":"ImageObject","@id":"https:\/\/mcq-questions.com\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/38ccf4a5413b0ede9fc79802993d6981?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/38ccf4a5413b0ede9fc79802993d6981?s=96&d=mm&r=g","caption":"Raju"},"url":"https:\/\/mcq-questions.com\/author\/raju\/"}]}},"jetpack_featured_media_url":"https:\/\/i2.wp.com\/mcq-questions.com\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-Hindi-Medium.png?fit=1280%2C720&ssl=1","_links":{"self":[{"href":"https:\/\/mcq-questions.com\/wp-json\/wp\/v2\/posts\/152"}],"collection":[{"href":"https:\/\/mcq-questions.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mcq-questions.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mcq-questions.com\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/mcq-questions.com\/wp-json\/wp\/v2\/comments?post=152"}],"version-history":[{"count":1,"href":"https:\/\/mcq-questions.com\/wp-json\/wp\/v2\/posts\/152\/revisions"}],"predecessor-version":[{"id":33451,"href":"https:\/\/mcq-questions.com\/wp-json\/wp\/v2\/posts\/152\/revisions\/33451"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mcq-questions.com\/wp-json\/wp\/v2\/media\/7689"}],"wp:attachment":[{"href":"https:\/\/mcq-questions.com\/wp-json\/wp\/v2\/media?parent=152"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mcq-questions.com\/wp-json\/wp\/v2\/categories?post=152"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mcq-questions.com\/wp-json\/wp\/v2\/tags?post=152"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}