{"id":32678,"date":"2022-03-30T10:30:06","date_gmt":"2022-03-30T05:00:06","guid":{"rendered":"https:\/\/mcq-questions.com\/?p=32678"},"modified":"2022-03-30T10:54:35","modified_gmt":"2022-03-30T05:24:35","slug":"ncert-solutions-for-class-12-maths-chapter-13-ex-13-1","status":"publish","type":"post","link":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-13-ex-13-1\/","title":{"rendered":"NCERT Solutions for Class 12 Maths Chapter 13 Probability Ex 13.1"},"content":{"rendered":"

These NCERT Solutions for Class 12 Maths<\/a> Chapter 13 Probability Ex 13.1 Questions and Answers are prepared by our highly skilled subject experts. https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-13-ex-13-1\/<\/p>\n

NCERT Solutions for Class 12 Maths Chapter 13 Probability Exercise 13.1<\/h2>\n

\"NCERT<\/p>\n

Question 1
\nGiven that E and Fare events such that P (E) = 0.6, P (F) = 0.3 and P(E\u2229F) = 0.2 find P(E|F) and P (F|E).
\nSolution:
\nGiven: P (E)=0.6, P (F)=0.3, P (E \u2229 F)=0.2
\nP(E|F) = \\(\\frac { P(E\\cap F) }{ P(E) } =\\frac { 0.2 }{ 0.3 } =\\frac { 2 }{ 3 }\\)
\nP(F|E) = \\(\\frac { P(E\\cap F) }{ P(E) } =\\frac { 0.2 }{ 0.6 } =\\frac { 1 }{ 3 }\\)<\/p>\n

Question 2
\nCompute P(A|B) if P(B)=0.5 and P (A\u2229B) = 0.32.
\nSolution:
\nGiven: P(B) = 0.5, P(A\u2229B) = 0.32
\nP(A|B) = \\(\\frac { P(A\\cap B) }{ P(B) } =\\frac { 0.32 }{ 0.50 } =\\frac { 32 }{ 50 }\\) = 0.64<\/p>\n

Question 3.
\nIf P (A) = 0.8, P (B)=0.5 and P(B\/A)=0.4, find
\n(i) P(A\u2229B)
\n(ii) P(A\/B)
\n(iii)P(A\u222aB)
\nSolution:
\n(i) P(B\/A) = \\(\\frac { P(A\\cap B) }{ P(A) } \\Rightarrow 0.4=\\frac { P(A\\cap B) }{ 0.8 }\\)
\n\u2234 P(A\u2229B) = 0.4 x 0.8 = 0.32<\/p>\n

(ii) P(A\/B) = \\(\\frac { P(A\\cap B) }{ P(B) } =\\frac { 0.32 }{ 0.5 } =\\frac { 32 }{ 50 } =\\frac { 16 }{ 25 }\\)<\/p>\n

(iii) P(A\u222aB) = P(A) + P(B) – P(A\u2229B)
\n= 0.8 + 0.5 – 0.32 = 1.30 – 0.32 = 0.98<\/p>\n

\"NCERT<\/p>\n

Question 4.
\nEvaluate P(A\u222aB) if 2P(A) = P(B) = \\(\\frac { 5 }{ 13 }\\) and P(A|B) = \\(\\frac { 2 }{ 5 }\\).
\nSolution:
\n\"NCERT<\/p>\n

Question 5.
\nIf P(A) = \\(\\frac { 6 }{ 11 }\\),P(B) =\\(\\frac { 5 }{ 11 }\\) and P(A\u222aB) = \\(\\frac { 7 }{ 11 }\\),
\nFind
\n(i) P(A\u2229B)
\n(ii) P(A|B)
\n(iii) P(B|A)
\nSolution:
\n\"NCERT<\/p>\n

Question 6.
\nA coin is tossed three times, where
\n(i) E: head on third toss F: heads on first two tosses.
\n(ii) E: at least two heads F : at most two heads
\n(iii) E: at most two tails F: at least one tail
\nSolution:
\nThe sample space S = {HHH, HHT, THH, TTH, THH, THT, TTT}
\n\"NCERT<\/p>\n

\"NCERT<\/p>\n

Question 7.
\nTwo coins are tossed once
\n(i) E: tail appears on one coin F: one coin shows head
\n(ii) E: no tail appears F: no head appears.
\nSolution:
\nThe Sample space S = {HH, TH, HT, TT}
\n\"NCERT<\/p>\n

Question 8.
\nA die is thrown three times.
\nE: 4 appears on the third toss
\nF: 6 and 5 appears respectively on first two tosses.
\nSolution:
\n\"NCERT<\/p>\n

Question 9.
\nMother, father and son line up at random for a family picture:
\nE: son on one end, F: father in middle
\nSolution:
\nMother (m), Father (f) and son (s) line up at random E : son on one end: {(s, m, f), (s, f, m), (f, m, s), (m, f, s)}
\nF: Father in middle: {(m, f,s), (s, f, m), (s, f, m)}
\nE\u2229F = {(m, f, s), (s, f, m)}
\n\"NCERT<\/p>\n

Question 10.
\nA Mack and a red die are rolled.
\n(a) Find the conditional probability of obtaining a sum greater than 9, given that the black die resulted in a 5.
\n(b) Find the conditional probability of obtaining the sum 8, given that the red die resulted in a number less than 4.
\nSolution:
\nLet S be the sample space. Then
\nn(S) = 36
\na. E : event of getting a sum greater than 9
\nE = {(4, 6), (5, 5), (5, 6), (6,4), (6, 5), (6, 6)}
\nF: event of getting 5 on black die.
\nF = {(5, 1), (5, 2), (5, 3), (5,4), (5, 5), (5, 6))
\nE \u2229 F = {(5, 5), (5, 6))
\n\\(\\mathrm{P}(\\mathrm{F})=\\frac{6}{36}, \\mathrm{P}(\\mathrm{E} \\cap \\mathrm{F})=\\frac{2}{36}\\)
\n\\(P(E \\mid F)=\\frac{P(E \\cap F)}{P(F)}=\\frac{\\left(\\frac{2}{36}\\right)}{\\left(\\frac{6}{36}\\right)}=\\frac{2}{6}=\\frac{1}{3}\\)<\/p>\n

b. E : event of getting a sum 8
\nE = {(2, 6), (3, 5), (4, 4), (5, 3), (6, 2)}
\nF : event of getting a number less than 4 on red die
\nF= {(1, 1),(2, 1),(3, 1),(4, 1),(5, 1),(6, 1), (1, 2), (2, 2), (3, 2), (4, 2), (5, 2), (6, 2), (1,3), (2,3), (3, 3), (4, 3), (5, 3), (6, 3)}
\nE \u2229 F = {(5,3),(6,2)}
\n\\(P(E \\cap F)=\\frac{2}{36}, P(F)=\\frac{18}{36}\\)
\n\u2234 P(E|F) = \\(\\frac{P(E \u2229 F)}{P(F)}\\) = \\(\\frac{(\\frac{2}{36})}{(\\frac{18}{36})}\\) = \\(\\frac{1}{9}\\)<\/p>\n

\"NCERT<\/p>\n

Question 11
\nA fair die is rolled. Consider events E = {1,3,5} F = {2,3} and G = {2,3,4,5}, Find
\n(i) P(E|F) and P(F|E)
\n(ii) P(E|G) and P(G|E)
\n(iii) P((E \u222a F) |G) and P (E \u2229 F)|G)
\nSolution:
\n\"NCERT<\/p>\n

Question 12.
\nAssume that each child born is equally likely to be a boy or a girl. If a family has two children, what is the conditional probability that both are girls given that
\n(i) the youngest is a girl,
\n(ii) at least one is girl?
\nSolution:
\nLet B : The elder boy
\nG : The elder girl
\nb : The younger boy
\ng : The younger girl
\nThe sample space S = {(B, h), (B, g), (G, b),(G, g)}<\/p>\n

i. Let E : both children are girls
\nF : the youngest is a girl
\n\"NCERT<\/p>\n

ii. Let E : both children are girls
\nF : atleast on child is a girl
\n\"NCERT<\/p>\n

\"NCERT<\/p>\n

Question 13.
\nAn instructor has a question bank consisting of 300 easy True\/ False questions, 200 difficult True\/ False questions, 500 easy multiple choice questions and 400 difficult multiple choice questions. If a question is selected at random from the question bank, what is the probability that it will be an easy question given that it is a multiple choice question?
\nSolution:
\n\"NCERT<\/p>\n

Question 14.
\nGiven that the two numbers appearing on throwing two dice are different. Find the probability of the event \u2018the sum of numbers on the dice is 4\u2019.
\nSolution:
\nLet S be the sample space.
\n\u2234 n(S) =36
\nLet E : getting different numbers on the dice
\n\u2234 n(E) = 30 \u2234P(E) = \\(\\frac { 30 }{ 36 }\\)
\nLet F : getting the sum of numbers on the dice is 4
\n\u2234 F= {(1, 3), (2, 2), (3, 1))
\nn(F) = 3 \u2234 P(F) = \\(\\frac { 3 }{ 36 }\\)
\nE \u2229 F = {(1,3),(3, 1)}
\nn(E \u2229 F) = 2 \u2234 P(E \u2229 F) = \\(\\frac{2}{36}\\)
\n\\(\\mathrm{P}(\\mathrm{F} \\mid \\mathrm{E})=\\frac{\\mathrm{P}(\\mathrm{E} \\cap \\mathrm{F})}{\\mathrm{P}(\\mathrm{E})}=\\frac{\\left(\\frac{2}{36}\\right)}{\\left(\\frac{30}{36}\\right)}=\\frac{1}{15}\\)<\/p>\n

Question 15.
\nConsider the experiment of throwing a die, if a multiple of 3 comes up, throw the die again and if any other number comes, toss a coin. Find the conditional probability of the event \u2018the coin shows a tail\u2019 given that \u2018at least one die shows a 3\u2019.
\nSolution:
\nThe sample space S = {(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (1, H). (1, T), (2, H). (2, T), (4, H). (4, T), (5, H), (5, T), (6, 1),(6, 2),(6, 3), (6,4),(6, 5),(6, 6))
\nLet E: coin shows tail
\nF : atleast one die shows 3
\nNow E \u2229 F = \u03a6 or P(E \u2229 F) = 0
\nP(E|F) = 0 since P(E \u2229 F) = 0<\/p>\n

\"NCERT<\/p>\n

Question 16.
\nIf P(A) = \\(\\frac { 1 }{ 2 }\\), P (B) = 0 then P (A | B) is
\n(a) 0
\n(b) \\(\\frac { 1 }{ 2 }\\)
\n(c) not defined
\n(d) 1
\nSolution:
\nP(A) = P(B) = 0
\n\u2234 P(A\u2229B) = 0
\n\u2234 P(A|B) = \\(\\frac { P(A\\cap B) }{ P(B) } =\\frac { 0 }{ 0 }\\)
\nThus option C is correct.<\/p>\n

Question 17.
\nIf A and B are events such that P(A | B) = P(B | A) then
\n(a) A\u2282B but A\u2260B
\n(b) A = B
\n(c) A\u2229B = \u03c6
\n(d) P(A) = P(B)
\nSolution:
\nP(A | B) = P(B | A)
\nThus option (d) is correct.
\n\\(\\frac { P(A\\cap B) }{ P(B) } =\\frac { P(B\\cap A) }{ P(A) }\\)
\n\u21d2 P(A) = P(B)<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 12 Maths Chapter 13 Probability Ex 13.1 Questions and Answers are prepared by our highly skilled subject experts. https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-13-ex-13-1\/ NCERT Solutions for Class 12 Maths Chapter 13 Probability Exercise 13.1 Question 1 Given that E and Fare events such that P (E) = 0.6, P (F) = 0.3 and P(E\u2229F) …<\/p>\n

NCERT Solutions for Class 12 Maths Chapter 13 Probability Ex 13.1<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","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":[3],"tags":[],"yoast_head":"\nNCERT Solutions for Class 12 Maths Chapter 13 Probability Ex 13.1 - 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-12-maths-chapter-13-ex-13-1\/\" \/>\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 12 Maths Chapter 13 Probability Ex 13.1 - MCQ Questions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 12 Maths Chapter 13 Probability Ex 13.1 Questions and Answers are prepared by our highly skilled subject experts. https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-13-ex-13-1\/ NCERT Solutions for Class 12 Maths Chapter 13 Probability Exercise 13.1 Question 1 Given that E and Fare events such that P (E) = 0.6, P (F) = 0.3 and P(E\u2229F) … NCERT Solutions for Class 12 Maths Chapter 13 Probability Ex 13.1 Read More »\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-13-ex-13-1\/\" \/>\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=\"2022-03-30T05:00:06+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-03-30T05:24:35+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mcq-questions.com\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png\" \/>\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=\"Prasanna\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"9 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-12-maths-chapter-13-ex-13-1\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/i0.wp.com\/mcq-questions.com\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png?fit=170%2C17&ssl=1\",\"contentUrl\":\"https:\/\/i0.wp.com\/mcq-questions.com\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png?fit=170%2C17&ssl=1\",\"width\":170,\"height\":17,\"caption\":\"NCERT Solutions\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-13-ex-13-1\/#webpage\",\"url\":\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-13-ex-13-1\/\",\"name\":\"NCERT Solutions for Class 12 Maths Chapter 13 Probability Ex 13.1 - MCQ Questions\",\"isPartOf\":{\"@id\":\"https:\/\/mcq-questions.com\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-13-ex-13-1\/#primaryimage\"},\"datePublished\":\"2022-03-30T05:00:06+00:00\",\"dateModified\":\"2022-03-30T05:24:35+00:00\",\"author\":{\"@id\":\"https:\/\/mcq-questions.com\/#\/schema\/person\/4ba9570f32f2057e70e670c7885e47f3\"},\"breadcrumb\":{\"@id\":\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-13-ex-13-1\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-13-ex-13-1\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-13-ex-13-1\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mcq-questions.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"NCERT Solutions for Class 12 Maths Chapter 13 Probability Ex 13.1\"}]},{\"@type\":\"Person\",\"@id\":\"https:\/\/mcq-questions.com\/#\/schema\/person\/4ba9570f32f2057e70e670c7885e47f3\",\"name\":\"Prasanna\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/mcq-questions.com\/#personlogo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g\",\"caption\":\"Prasanna\"},\"url\":\"https:\/\/mcq-questions.com\/author\/prasanna\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"NCERT Solutions for Class 12 Maths Chapter 13 Probability Ex 13.1 - 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-12-maths-chapter-13-ex-13-1\/","og_locale":"en_US","og_type":"article","og_title":"NCERT Solutions for Class 12 Maths Chapter 13 Probability Ex 13.1 - MCQ Questions","og_description":"These NCERT Solutions for Class 12 Maths Chapter 13 Probability Ex 13.1 Questions and Answers are prepared by our highly skilled subject experts. https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-13-ex-13-1\/ NCERT Solutions for Class 12 Maths Chapter 13 Probability Exercise 13.1 Question 1 Given that E and Fare events such that P (E) = 0.6, P (F) = 0.3 and P(E\u2229F) … NCERT Solutions for Class 12 Maths Chapter 13 Probability Ex 13.1 Read More »","og_url":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-13-ex-13-1\/","og_site_name":"MCQ Questions","article_publisher":"https:\/\/www.facebook.com\/NCERTSolutionsGuru\/","article_published_time":"2022-03-30T05:00:06+00:00","article_modified_time":"2022-03-30T05:24:35+00:00","og_image":[{"url":"https:\/\/mcq-questions.com\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png"}],"twitter_card":"summary_large_image","twitter_creator":"@ncertsolguru","twitter_site":"@ncertsolguru","twitter_misc":{"Written by":"Prasanna","Est. reading time":"9 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-12-maths-chapter-13-ex-13-1\/#primaryimage","inLanguage":"en-US","url":"https:\/\/i0.wp.com\/mcq-questions.com\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png?fit=170%2C17&ssl=1","contentUrl":"https:\/\/i0.wp.com\/mcq-questions.com\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png?fit=170%2C17&ssl=1","width":170,"height":17,"caption":"NCERT Solutions"},{"@type":"WebPage","@id":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-13-ex-13-1\/#webpage","url":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-13-ex-13-1\/","name":"NCERT Solutions for Class 12 Maths Chapter 13 Probability Ex 13.1 - MCQ Questions","isPartOf":{"@id":"https:\/\/mcq-questions.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-13-ex-13-1\/#primaryimage"},"datePublished":"2022-03-30T05:00:06+00:00","dateModified":"2022-03-30T05:24:35+00:00","author":{"@id":"https:\/\/mcq-questions.com\/#\/schema\/person\/4ba9570f32f2057e70e670c7885e47f3"},"breadcrumb":{"@id":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-13-ex-13-1\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-13-ex-13-1\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-13-ex-13-1\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mcq-questions.com\/"},{"@type":"ListItem","position":2,"name":"NCERT Solutions for Class 12 Maths Chapter 13 Probability Ex 13.1"}]},{"@type":"Person","@id":"https:\/\/mcq-questions.com\/#\/schema\/person\/4ba9570f32f2057e70e670c7885e47f3","name":"Prasanna","image":{"@type":"ImageObject","@id":"https:\/\/mcq-questions.com\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g","caption":"Prasanna"},"url":"https:\/\/mcq-questions.com\/author\/prasanna\/"}]}},"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/mcq-questions.com\/wp-json\/wp\/v2\/posts\/32678"}],"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\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/mcq-questions.com\/wp-json\/wp\/v2\/comments?post=32678"}],"version-history":[{"count":2,"href":"https:\/\/mcq-questions.com\/wp-json\/wp\/v2\/posts\/32678\/revisions"}],"predecessor-version":[{"id":37810,"href":"https:\/\/mcq-questions.com\/wp-json\/wp\/v2\/posts\/32678\/revisions\/37810"}],"wp:attachment":[{"href":"https:\/\/mcq-questions.com\/wp-json\/wp\/v2\/media?parent=32678"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mcq-questions.com\/wp-json\/wp\/v2\/categories?post=32678"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mcq-questions.com\/wp-json\/wp\/v2\/tags?post=32678"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}