{"id":7026,"date":"2021-10-22T15:38:51","date_gmt":"2021-10-22T10:08:51","guid":{"rendered":"https:\/\/mathemerize.com\/?p=7026"},"modified":"2021-10-25T01:43:33","modified_gmt":"2021-10-24T20:13:33","slug":"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","status":"publish","type":"post","link":"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\/","title":{"rendered":"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"},"content":{"rendered":"<h2>Solution :<\/h2>\n<p>The total number of ways in which numbers can be choosed = 25*25 = 625<\/p>\n<p>The number of ways in which either players can choose same numbers = 25<\/p>\n<p>\\(\\therefore\\) Probability that they win a prize = \\(25\\over 625\\) = \\(1\\over 25\\)<\/p>\n<p>Thus, the probability that they will not win a prize in a single trial = 1 &#8211; \\(1\\over 25\\) = \\(24\\over 25\\)<\/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\/a-fair-die-is-tossed-eight-times-the-probability-that-a-third-six-is-observed-on-the-eight-throw-is\/\" aria-label=\"\u201cA fair die is tossed eight times. The probability that a third six is observed on the eight throw, is\u201d (Edit)\">A fair die is tossed eight times. The probability that a third six is observed on the eight throw, 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\/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\/a-problem-in-mathematics-is-given-to-three-students-a-b-c-and-their-respective-probability-of-solving-the-problem-is-1over-2-1over-3-and-1over-4-probability-that-the-proble-2\/\" aria-label=\"\u201cA problem in mathematics is given to three students A, B, C and their respective probability of solving the problem is \\(1\\over 2\\), \\(1\\over 3\\) and \\(1\\over 4\\). Probability that the problem is solved is\u201d (Edit)\">A problem in mathematics is given to three students A, B, C and their respective probability of solving the problem is \\(1\\over 2\\), \\(1\\over 3\\) and \\(1\\over 4\\). Probability that the problem is solved is<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solution : The total number of ways in which numbers can be choosed = 25*25 = 625 The number of ways in which either players can choose same numbers = 25 \\(\\therefore\\) Probability that they win a prize = \\(25\\over 625\\) = \\(1\\over 25\\) Thus, the probability that they will not win a prize in &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" 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\/\"> <span class=\"screen-reader-text\">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<\/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 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<\/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-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\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"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\" \/>\n<meta property=\"og:description\" content=\"Solution : The total number of ways in which numbers can be choosed = 25*25 = 625 The number of ways in which either players can choose same numbers = 25 (therefore) Probability that they win a prize = (25over 625) = (1over 25) Thus, the probability that they will not win a prize in &hellip; 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. 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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","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-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\/","og_locale":"en_US","og_type":"article","og_title":"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. 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