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{"id":2028,"date":"2021-08-18T01:41:27","date_gmt":"2021-08-18T01:41:27","guid":{"rendered":"https:\/\/www.wikitechy.com\/interview-questions\/?p=2028"},"modified":"2021-09-06T06:39:15","modified_gmt":"2021-09-06T06:39:15","slug":"two-dice-are-rolled-together-what-is-the-probability-of-getting-two-numbers-whose-product-is-even","status":"publish","type":"post","link":"https:\/\/www.wikitechy.com\/interview-questions\/probability\/two-dice-are-rolled-together-what-is-the-probability-of-getting-two-numbers-whose-product-is-even\/","title":{"rendered":"Two dice are rolled together. What is the probability of getting two numbers whose product is even ?"},"content":{"rendered":"<div class=\"TextHeading\">\n<div class=\"hddn\">\n<p class=\"color-pink\">Two dice are rolled together. What is the probability of getting two numbers whose product is even ?<\/p>\n<div class=\"row\">\n<div class=\"col-sm-6\">\n<p>A. 17\/36<\/p>\n<\/div>\n<div class=\"col-sm-6\">\n<p>B. 1\/3<\/p>\n<\/div>\n<div class=\"col-sm-6\">\n<p>C. 3\/4<\/p>\n<\/div>\n<div class=\"col-sm-6\">\n<p>D. 11\/25<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h3 id=\"answer-c-3-4\"><b>Answer :\u00a0<\/b>C. 3\/4<\/h3>\n<div class=\"subheading\">\n<h2 id=\"explanation\">Explanation:<\/h2>\n<\/div>\n<div class=\"Content\">\n<div class=\"hddn\">\n<p>Total number of outcomes possible when a die is rolled = 6 (\u2235 any one face out of the 6 faces).<br \/>\nHence, Total number of outcomes possible when two dice are rolled, n(S) = 6 \u00d7 6 = 36.<br \/>\nLet E = the event of getting two numbers whose product is even.<br \/>\n= {(1,2), (1,4), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,2), (3,4), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,2),(5,4), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}<\/p>\n<p>Hence, n(E) = 27<br \/>\nP(E) = n(E) \/ n(S)<br \/>\n= 27\/36<br \/>\n= 3\/4<\/p>\n<\/div>\n<\/div>\n<div class=\"text-center row\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Answer :\u00a0C. 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