{"id":6986,"date":"2021-10-22T14:25:11","date_gmt":"2021-10-22T08:55:11","guid":{"rendered":"https:\/\/mathemerize.com\/?p=6986"},"modified":"2021-10-25T01:52:42","modified_gmt":"2021-10-24T20:22:42","slug":"a-pair-of-fair-dice-is-thrown-independently-three-times-the-probability-of-getting-a-score-of-exactly-9-twice-is","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/a-pair-of-fair-dice-is-thrown-independently-three-times-the-probability-of-getting-a-score-of-exactly-9-twice-is\/","title":{"rendered":"A pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice is"},"content":{"rendered":"<h2>Solution :<\/h2>\n<p>Probability of getting score 9 in a single throw<\/p>\n<p>= \\(4\\over 36\\) = \\(1\\over 9\\)<\/p>\n<p>Probability of getting score 9 exactly in double throw<\/p>\n<p>= \\(^3C_2\\) \\(\\times\\) \\(({1\\over 9})^2\\) \\(\\times\\) \\(8\\over 9\\) = \\(8\\over 243\\)<\/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\/three-houses-are-available-in-a-locality-three-persons-apply-for-the-houses-each-applies-for-one-house-without-consulting-others-the-probability-that-three-apply-for-the-same-house-is\/\" aria-label=\"\u201cThree houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that three apply for the same house is\u201d (Edit)\">Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that three apply for the same house is<\/a><\/p>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/if-a-and-b-are-two-mutually-exclusive-events-then\/\" aria-label=\"\u201cIf A and B are two mutually exclusive events, then\u201d (Edit)\">If A and B are two mutually exclusive events, then<\/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\/a-die-is-thrown-let-a-be-the-event-that-the-number-obtained-is-greater-than-3-let-b-be-the-event-that-the-number-obtained-is-less-than-5-then-pa-cup-b-is\/\" aria-label=\"\u201cA die is thrown. Let A be the event that the number obtained is greater than 3. Let B be the event that the number obtained is less than 5. Then, \\(P(A \\cup B)\\) is\u201d (Edit)\">A die is thrown. Let A be the event that the number obtained is greater than 3. Let B be the event that the number obtained is less than 5. Then, \\(P(A \\cup B)\\) is<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solution : Probability of getting score 9 in a single throw = \\(4\\over 36\\) = \\(1\\over 9\\) Probability of getting score 9 exactly in double throw = \\(^3C_2\\) \\(\\times\\) \\(({1\\over 9})^2\\) \\(\\times\\) \\(8\\over 9\\) = \\(8\\over 243\\) Similar Questions The probability of India winning a test match against the west indies is 1\/2 assuming independence &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" 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\/\"> <span class=\"screen-reader-text\">A pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice 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 pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice 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-pair-of-fair-dice-is-thrown-independently-three-times-the-probability-of-getting-a-score-of-exactly-9-twice-is\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice is\" \/>\n<meta property=\"og:description\" content=\"Solution : Probability of getting score 9 in a single throw = (4over 36) = (1over 9) Probability of getting score 9 exactly in double throw = (^3C_2) (times) (({1over 9})^2) (times) (8over 9) = (8over 243) Similar Questions The probability of India winning a test match against the west indies is 1\/2 assuming independence &hellip; A pair of fair dice is thrown independently three times. 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The probability of getting a score of exactly 9 twice 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-pair-of-fair-dice-is-thrown-independently-three-times-the-probability-of-getting-a-score-of-exactly-9-twice-is\/","og_locale":"en_US","og_type":"article","og_title":"A pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice is","og_description":"Solution : Probability of getting score 9 in a single throw = (4over 36) = (1over 9) Probability of getting score 9 exactly in double throw = (^3C_2) (times) (({1over 9})^2) (times) (8over 9) = (8over 243) Similar Questions The probability of India winning a test match against the west indies is 1\/2 assuming independence &hellip; A pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice is Read More &raquo;","og_url":"https:\/\/mathemerize.com\/a-pair-of-fair-dice-is-thrown-independently-three-times-the-probability-of-getting-a-score-of-exactly-9-twice-is\/","og_site_name":"Mathemerize","article_published_time":"2021-10-22T08:55:11+00:00","article_modified_time":"2021-10-24T20:22:42+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-pair-of-fair-dice-is-thrown-independently-three-times-the-probability-of-getting-a-score-of-exactly-9-twice-is\/#article","isPartOf":{"@id":"https:\/\/mathemerize.com\/a-pair-of-fair-dice-is-thrown-independently-three-times-the-probability-of-getting-a-score-of-exactly-9-twice-is\/"},"author":{"name":"mathemerize","@id":"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df"},"headline":"A pair of fair dice is thrown independently three times. 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