{"id":6984,"date":"2021-10-22T14:23:24","date_gmt":"2021-10-22T08:53:24","guid":{"rendered":"https:\/\/mathemerize.com\/?p=6984"},"modified":"2021-10-25T01:53:23","modified_gmt":"2021-10-24T20:23:23","slug":"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","status":"publish","type":"post","link":"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\/","title":{"rendered":"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"},"content":{"rendered":"

Solution :<\/h2>\n

A = {4. 5. 6}\u00a0 and\u00a0 B = {1, 2, 3, 4}<\/p>\n

\\(A \\cap B\\) = 4<\/p>\n

\\(\\therefore\\)\u00a0 \\(P(A \\cup B)\\) = P(A) + P(B) – \\(A \\cap B\\)<\/p>\n

\\(\\implies\\) \\(P(A \\cup B)\\) = 3\/6 + 4\/6 – 1\/6 = 1<\/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

The probability that A speaks truth is 4\/5 while this probability for B is 3\/4. The probability that they contradict each other when asked to speak on a fact is<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Solution : A = {4. 5. 6}\u00a0 and\u00a0 B = {1, 2, 3, 4} \\(A \\cap B\\) = 4 \\(\\therefore\\)\u00a0 \\(P(A \\cup B)\\) = P(A) + P(B) – \\(A \\cap B\\) \\(\\implies\\) \\(P(A \\cup B)\\) = 3\/6 + 4\/6 – 1\/6 = 1 Similar Questions The probability of India winning a test match against the …<\/p>\n

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<\/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 die is thrown. Let A be the event that the number obtained is greater than 3. 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Then, \\(P(A \\cup B)\\) is\" \/>\n<meta property=\"og:description\" content=\"Solution : A = {4. 5. 6}\u00a0 and\u00a0 B = {1, 2, 3, 4} (A cap B) = 4 (therefore)\u00a0 (P(A cup B)) = P(A) + P(B) – (A cap B) (implies) (P(A cup B)) = 3\/6 + 4\/6 – 1\/6 = 1 Similar Questions The probability of India winning a test match against the … 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. 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