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Two integers `xa n dy` are chosen with replacement out of the set `{0,1,,2,3 ,10}dot` Then find the probability that `|x-y|> 5.`

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Two integers xandy are chosen with replacement out of the set {0,1,,2,3,10} . Then find the probability that |x-y|>5. A. 81 121 B. 30 121 C. 25 121 D. 20 121 Select the correct answer from above options

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Correct Answer - B Since x and y each can take values from 0 to 10. So, the total number of ways of selecting x and y is 11 × 11 = 121 11 . Now, | x , y | > 5 ⇒ ⇒ x − y < − 5 or , x − y > 5 | There are 30 pairs of values of x and y satisfying these two inequalities, So, favourable number of elementary events=30. Hence, required probability = 30 121 =

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