{"id":6974,"date":"2021-10-22T02:26:44","date_gmt":"2021-10-21T20:56:44","guid":{"rendered":"https:\/\/mathemerize.com\/?p=6974"},"modified":"2021-10-25T01:56:00","modified_gmt":"2021-10-24T20:26:00","slug":"an-urn-contains-nine-balls-of-which-three-are-red-four-are-blue-and-two-are-green-three-balls-are-drawn-at-random-without-replacement-from-the-urn-the-probability-that-the-three-balls-have-differen","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/an-urn-contains-nine-balls-of-which-three-are-red-four-are-blue-and-two-are-green-three-balls-are-drawn-at-random-without-replacement-from-the-urn-the-probability-that-the-three-balls-have-differen\/","title":{"rendered":"An urn contains nine balls of which three are red, four are blue and two are green. Three balls are drawn at random without replacement from the urn. The probability that the three balls have different colors is"},"content":{"rendered":"

Solution :<\/h2>\n

Total number of cases = \\(^9C_3\\) = 84<\/p>\n

Number of favourable cases = \\(^3C_1\\).\\(^4C_1\\).\\(^2C_1\\) = 24<\/p>\n

\\(\\therefore\\)\u00a0 P = \\(24\\over 84\\) = \\(2\\over 7\\)<\/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

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Solution : Total number of cases = \\(^9C_3\\) = 84 Number of favourable cases = \\(^3C_1\\).\\(^4C_1\\).\\(^2C_1\\) = 24 \\(\\therefore\\)\u00a0 P = \\(24\\over 84\\) = \\(2\\over 7\\) Similar Questions 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 …<\/p>\n

An urn contains nine balls of which three are red, four are blue and two are green. Three balls are drawn at random without replacement from the urn. The probability that the three balls have different colors 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":"\nAn urn contains nine balls of which three are red, four are blue and two are green. Three balls are drawn at random without replacement from the urn. 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