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{"id":2052,"date":"2021-08-18T02:12:01","date_gmt":"2021-08-18T02:12:01","guid":{"rendered":"https:\/\/www.wikitechy.com\/interview-questions\/?p=2052"},"modified":"2021-09-06T05:48:02","modified_gmt":"2021-09-06T05:48:02","slug":"four-whole-number-taken-at-random-are-multiplied-together-the-chance-that-the-last-digit-of-the-product-is-1-3-7-or-9-is","status":"publish","type":"post","link":"https:\/\/www.wikitechy.com\/interview-questions\/probability\/four-whole-number-taken-at-random-are-multiplied-together-the-chance-that-the-last-digit-of-the-product-is-1-3-7-or-9-is\/","title":{"rendered":"Four whole number taken at random are multiplied together. The chance that the last digit of the product is 1, 3, 7, or 9 is ?"},"content":{"rendered":"<div class=\"TextHeading\">\n<div class=\"hddn\">\n<p class=\"color-pink\">Four whole number taken at random are multiplied together. The chance that the last digit of the product is 1, 3, 7, or 9 is ?<\/p>\n<div class=\"row\">\n<div class=\"col-sm-6\">\n<p>A. 16\/625<\/p>\n<\/div>\n<div class=\"col-sm-6\">\n<p>B. 1\/210<\/p>\n<\/div>\n<div class=\"col-sm-6\">\n<p>C. 8\/125<\/p>\n<\/div>\n<div class=\"col-sm-6\">\n<p>D. 4\/25<\/p>\n<\/div>\n<\/div>\n<h3 id=\"answer-a-16-625\"><b>Answer :\u00a0<\/b>A. 16\/625<\/h3>\n<\/div>\n<\/div>\n<div class=\"subheading\">\n<h2 id=\"explanation\">Explanation:<\/h2>\n<\/div>\n<div class=\"Content\">\n<div class=\"hddn\">\n<ul>\n<li>Since the product has to end in 1, 3, 7 or 9, the units place of all the 4 numbers we want to multiply can&#8217;t end in 0, 2, 4, 5, 6, 8. That means it can only end in 1, 3, 7, 9.<\/li>\n<li>This means that the probability of selecting one number that ends in 1, 3, 7 or 9 is 4\/10 = 2\/5.<\/li>\n<li>Therefore the probability of selecting four numbers that end in 1, 3, 7 or 9 is (2\/5) x (2\/5) x (2\/5) x (2\/5) = 16\/625.<\/li>\n<li>Hence, the probability of selecting 4 numbers such that their product ends in 1, 3, 7 or 9 is 16\/625.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Answer :\u00a0A. 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