{"id":7016,"date":"2021-10-22T15:19:56","date_gmt":"2021-10-22T09:49:56","guid":{"rendered":"https:\/\/mathemerize.com\/?p=7016"},"modified":"2021-10-25T01:46:19","modified_gmt":"2021-10-24T20:16:19","slug":"consider-rolling-two-dice-once-calculate-the-probability-of-rolling-a-sum-of-5-or-an-even-sum","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/consider-rolling-two-dice-once-calculate-the-probability-of-rolling-a-sum-of-5-or-an-even-sum\/","title":{"rendered":"Consider rolling two dice once. Calculate the probability of rolling a sum of 5 or an even sum."},"content":{"rendered":"

Solution :<\/h2>\n

Sample space of rolling two dice = 36<\/p>\n

Now, Event of sum of 5 = { (1,4) (2,3) (3,2) (4,1) } = 4<\/p>\n

\\(\\implies\\) probability of getting sum of 5 is 4\/36 = 1\/9<\/p>\n

Now, Event of even sum = { (1,1) (1,3) (1,5) (2,2) (2,4) (2,6) (3,1) (3,3) (3,5) (4,2) (4,4) (4,6) (5,1) (5,3) (5,5) (6,2) (6,4) (6,6) } = 18<\/p>\n

\\(\\implies\\) probability of getting even sum is 18\/36 = 1\/2<\/p>\n

Hence, probability of\u00a0 getting sum of\u00a0 5 or even sum = 1\/9 + 1\/2<\/p>\n

= 11\/18<\/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

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

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 : Sample space of rolling two dice = 36 Now, Event of sum of 5 = { (1,4) (2,3) (3,2) (4,1) } = 4 \\(\\implies\\) probability of getting sum of 5 is 4\/36 = 1\/9 Now, Event of even sum = { (1,1) (1,3) (1,5) (2,2) (2,4) (2,6) (3,1) (3,3) (3,5) (4,2) (4,4) (4,6) …<\/p>\n

Consider rolling two dice once. Calculate the probability of rolling a sum of 5 or an even sum.<\/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":"\nConsider rolling two dice once. 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