{"id":7024,"date":"2021-10-22T15:26:12","date_gmt":"2021-10-22T09:56:12","guid":{"rendered":"https:\/\/mathemerize.com\/?p=7024"},"modified":"2021-10-25T01:43:30","modified_gmt":"2021-10-24T20:13:30","slug":"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","status":"publish","type":"post","link":"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\/","title":{"rendered":"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"},"content":{"rendered":"

Solution :<\/h2>\n

Since the probability of solving the problem by A, B and C is \\(1\\over 2\\), \\(1\\over 3\\) and \\(1\\over 4\\) respectively.<\/p>\n

\\(\\therefore\\)\u00a0 Probability that problem is not solved is<\/p>\n

= P(A’)P(B’)P(C’)<\/p>\n

= (\\(1 – {1\\over 2}\\))(\\(1 – {1\\over 3}\\))(\\(1 – {1\\over 4}\\))<\/p>\n

= \\(1\\over 2\\)\\(2\\over 3\\)\\(3\\over 4\\) = \\(1\\over 4\\)<\/p>\n

= Hence, the probability that the problem is solved<\/p>\n

= \\(1 – {1\\over 4}\\) = \\(3\\over 4\\)<\/p>\n

\n

Similar Questions<\/h3>\n

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

A fair die is tossed eight times. The probability that a third six is observed on the eight throw, is<\/a><\/p>\n

If A and B are two mutually exclusive events, then<\/a><\/p>\n

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

At a telephone enquiry system, the number of phone calls regarding relevant enquiry follow. Poisson distribution with an average of 5 phone calls during 10 min time intervals. The probability that there is almost one phone call during a 10 min time period is<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Solution : Since the probability of solving the problem by A, B and C is \\(1\\over 2\\), \\(1\\over 3\\) and \\(1\\over 4\\) respectively. \\(\\therefore\\)\u00a0 Probability that problem is not solved is = P(A’)P(B’)P(C’) = (\\(1 – {1\\over 2}\\))(\\(1 – {1\\over 3}\\))(\\(1 – {1\\over 4}\\)) = \\(1\\over 2\\)\\(2\\over 3\\)\\(3\\over 4\\) = \\(1\\over 4\\) = Hence, the …<\/p>\n

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<\/span> Read More »<\/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":"\nA 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<\/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-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\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"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\" \/>\n<meta property=\"og:description\" content=\"Solution : Since the probability of solving the problem by A, B and C is (1over 2), (1over 3) and (1over 4) respectively. (therefore)\u00a0 Probability that problem is not solved is = P(A’)P(B’)P(C’) = ((1 – {1over 2}))((1 – {1over 3}))((1 – {1over 4})) = (1over 2)(2over 3)(3over 4) = (1over 4) = Hence, the … 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). 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