ProbabilityHard

Question

Fifteen coupons are numbered 1, 2, ......., 15, respectively Seven coupons are selected at random one at a time with replacement. The probability that the largest number appearing om a selected coupon is 9, is

Options

A.
B.
C.
D.None of these

Solution

Since, there are 15 possible cases for selecting a coupon and seven coupons are selectrod, the total number of cases of selecting seven coupons = 157
It is given that the maximum number on the selected coupon is 9, therefore the selection is to be made form the coupons numbered 1 to 9 This can be made in ways. Out of these 97 cases, 87 does not contain the number 9. Thus, the favourable number of cases = 97 - 87
Hence, the required probability

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