{"id":6965,"date":"2021-10-22T02:20:10","date_gmt":"2021-10-21T20:50:10","guid":{"rendered":"https:\/\/mathemerize.com\/?p=6965"},"modified":"2021-10-25T01:58:17","modified_gmt":"2021-10-24T20:28:17","slug":"a-multiple-choice-examination-has-5-questions-each-question-has-three-alternative-answers-of-which-exactly-one-is-correct-the-probability-that-a-student-will-get-4-or-more-correct-answers-just-by-gu","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/a-multiple-choice-examination-has-5-questions-each-question-has-three-alternative-answers-of-which-exactly-one-is-correct-the-probability-that-a-student-will-get-4-or-more-correct-answers-just-by-gu\/","title":{"rendered":"A multiple choice examination has 5 questions. Each question has three alternative answers of which exactly one is correct. The probability that a student will get 4 or more correct answers just by guessing is"},"content":{"rendered":"<h2>Solution :<\/h2>\n<p>Probability of guessing a correct answer, p = \\(1\\over 3\\)<\/p>\n<p>and probability of guessing a wrong answer, q\u00a0 = \\(2\\over 3\\)<\/p>\n<p>So, the probability of guessing 4 or more correct answers is<\/p>\n<p>= \\(^5C_4\\) \\(({1\\over 3})^4\\). \\(2\\over 3\\) + \\(^5C_5\\) \\(({1\\over 3})^5\\)<\/p>\n<p>= \\(5.2\\over {3^5}\\) + \\(1\\over {3^5}\\) = \\(11\\over {3^5}\\)<\/p>\n<hr \/>\n<h3 style=\"text-align: center;\">Similar Questions<\/h3>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/the-probability-of-india-winning-a-test-match-against-the-west-indies-is-1-2-assuming-independence-from-match-to-match-the-probability-that-in-a-match-series-indias-second-win-occurs-at-the-third-t\/\" aria-label=\"\u201cThe probability of India winning a test match against the west indies is 1\/2 assuming independence from match to match. The probability that in a match series India\u2019s second win occurs at the third test is\u201d (Edit)\">The probability of India winning a test match against the west indies is 1\/2 assuming independence from match to match. The probability that in a match series India\u2019s second win occurs at the third test is<\/a><\/p>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/if-c-and-d-are-two-events-such-that-c-subset-d-and-pd-ne-0-then-the-correct-statement-among-the-following-is\/\" aria-label=\"\u201cIf C and D are two events such that C \\(\\subset\\) D and P(D) \\(\\ne\\) 0, then the correct statement among the following is\u201d (Edit)\">If C and D are two events such that C \\(\\subset\\) D and P(D) \\(\\ne\\) 0, then the correct statement among the following is<\/a><\/p>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/a-pair-of-fair-dice-is-thrown-independently-three-times-the-probability-of-getting-a-score-of-exactly-9-twice-is\/\" aria-label=\"\u201cA pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice is\u201d (Edit)\">A pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice is<\/a><\/p>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/a-and-b-play-a-game-where-each-is-asked-to-select-a-number-from-1-to-25-if-the-two-numbers-match-both-of-them-win-a-prize-the-probability-that-they-will-not-win-a-prize-in-a-single-trial-is\/\" aria-label=\"\u201cA and B play a game, where each is asked to select a number from 1 to 25. If the two numbers match, both of them win a prize. The probability that they will not win a prize in a single trial is\u201d (Edit)\">A and B play a game, where each is asked to select a number from 1 to 25. If the two numbers match, both of them win a prize. The probability that they will not win a prize in a single trial is<\/a><\/p>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/one-ticket-is-selected-at-random-from-50-tickets-numbered-00-01-02-49-then-the-probability-that-the-sum-of-the-digits-on-the-selected-ticket-is-8-given-that-the-product-of-these-digits-i\/\" aria-label=\"\u201cOne ticket is selected at random from 50 tickets numbered 00, 01, 02, \u2026\u2026, 49. Then, the probability that the sum of the digits on the selected ticket is 8, given that the product of these digits is zero equal to\u201d (Edit)\">One ticket is selected at random from 50 tickets numbered 00, 01, 02, \u2026\u2026, 49. Then, the probability that the sum of the digits on the selected ticket is 8, given that the product of these digits is zero equal to<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solution : Probability of guessing a correct answer, p = \\(1\\over 3\\) and probability of guessing a wrong answer, q\u00a0 = \\(2\\over 3\\) So, the probability of guessing 4 or more correct answers is = \\(^5C_4\\) \\(({1\\over 3})^4\\). \\(2\\over 3\\) + \\(^5C_5\\) \\(({1\\over 3})^5\\) = \\(5.2\\over {3^5}\\) + \\(1\\over {3^5}\\) = \\(11\\over {3^5}\\) Similar Questions &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathemerize.com\/a-multiple-choice-examination-has-5-questions-each-question-has-three-alternative-answers-of-which-exactly-one-is-correct-the-probability-that-a-student-will-get-4-or-more-correct-answers-just-by-gu\/\"> <span class=\"screen-reader-text\">A multiple choice examination has 5 questions. Each question has three alternative answers of which exactly one is correct. The probability that a student will get 4 or more correct answers just by guessing is<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","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":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[43,44],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.12 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A multiple choice examination has 5 questions. Each question has three alternative answers of which exactly one is correct. The probability that a student will get 4 or more correct answers just by guessing is<\/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:\/\/mathemerize.com\/a-multiple-choice-examination-has-5-questions-each-question-has-three-alternative-answers-of-which-exactly-one-is-correct-the-probability-that-a-student-will-get-4-or-more-correct-answers-just-by-gu\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A multiple choice examination has 5 questions. Each question has three alternative answers of which exactly one is correct. The probability that a student will get 4 or more correct answers just by guessing is\" \/>\n<meta property=\"og:description\" content=\"Solution : Probability of guessing a correct answer, p = (1over 3) and probability of guessing a wrong answer, q\u00a0 = (2over 3) So, the probability of guessing 4 or more correct answers is = (^5C_4) (({1over 3})^4). (2over 3) + (^5C_5) (({1over 3})^5) = (5.2over {3^5}) + (1over {3^5}) = (11over {3^5}) Similar Questions &hellip; A multiple choice examination has 5 questions. Each question has three alternative answers of which exactly one is correct. The probability that a student will get 4 or more correct answers just by guessing is Read More &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathemerize.com\/a-multiple-choice-examination-has-5-questions-each-question-has-three-alternative-answers-of-which-exactly-one-is-correct-the-probability-that-a-student-will-get-4-or-more-correct-answers-just-by-gu\/\" \/>\n<meta property=\"og:site_name\" content=\"Mathemerize\" \/>\n<meta property=\"article:published_time\" content=\"2021-10-21T20:50:10+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-10-24T20:28:17+00:00\" \/>\n<meta name=\"author\" content=\"mathemerize\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"mathemerize\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathemerize.com\/a-multiple-choice-examination-has-5-questions-each-question-has-three-alternative-answers-of-which-exactly-one-is-correct-the-probability-that-a-student-will-get-4-or-more-correct-answers-just-by-gu\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathemerize.com\/a-multiple-choice-examination-has-5-questions-each-question-has-three-alternative-answers-of-which-exactly-one-is-correct-the-probability-that-a-student-will-get-4-or-more-correct-answers-just-by-gu\/\"},\"author\":{\"name\":\"mathemerize\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df\"},\"headline\":\"A multiple choice examination has 5 questions. 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Each question has three alternative answers of which exactly one is correct. The probability that a student will get 4 or more correct answers just by guessing is","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:\/\/mathemerize.com\/a-multiple-choice-examination-has-5-questions-each-question-has-three-alternative-answers-of-which-exactly-one-is-correct-the-probability-that-a-student-will-get-4-or-more-correct-answers-just-by-gu\/","og_locale":"en_US","og_type":"article","og_title":"A multiple choice examination has 5 questions. Each question has three alternative answers of which exactly one is correct. The probability that a student will get 4 or more correct answers just by guessing is","og_description":"Solution : Probability of guessing a correct answer, p = (1over 3) and probability of guessing a wrong answer, q\u00a0 = (2over 3) So, the probability of guessing 4 or more correct answers is = (^5C_4) (({1over 3})^4). (2over 3) + (^5C_5) (({1over 3})^5) = (5.2over {3^5}) + (1over {3^5}) = (11over {3^5}) Similar Questions &hellip; A multiple choice examination has 5 questions. Each question has three alternative answers of which exactly one is correct. The probability that a student will get 4 or more correct answers just by guessing is Read More &raquo;","og_url":"https:\/\/mathemerize.com\/a-multiple-choice-examination-has-5-questions-each-question-has-three-alternative-answers-of-which-exactly-one-is-correct-the-probability-that-a-student-will-get-4-or-more-correct-answers-just-by-gu\/","og_site_name":"Mathemerize","article_published_time":"2021-10-21T20:50:10+00:00","article_modified_time":"2021-10-24T20:28:17+00:00","author":"mathemerize","twitter_card":"summary_large_image","twitter_misc":{"Written by":"mathemerize","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathemerize.com\/a-multiple-choice-examination-has-5-questions-each-question-has-three-alternative-answers-of-which-exactly-one-is-correct-the-probability-that-a-student-will-get-4-or-more-correct-answers-just-by-gu\/#article","isPartOf":{"@id":"https:\/\/mathemerize.com\/a-multiple-choice-examination-has-5-questions-each-question-has-three-alternative-answers-of-which-exactly-one-is-correct-the-probability-that-a-student-will-get-4-or-more-correct-answers-just-by-gu\/"},"author":{"name":"mathemerize","@id":"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df"},"headline":"A multiple choice examination has 5 questions. 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