Fifteen coupons ate numbered $$1$$, z, $$3$$, $$15$$. Seven coupons are selected at random one at a time with replacement. The probability that the largest number appearing on selected coupon is $$9$$ is

Question

Infinity Learn · Accepted Answer

Since there are $$15$$ possible cases for selecting a coupon and seven coupons are selected, the total number ofcases of selecting seven coupons $$is157$$. It is given that the largest number on the selected coupon is g. Therefore, theselection is to be made from the coupons numbered $$1$$ to $$9$$. This can be made in $$97$$ ways. out of these $$97cases$$, $$97$$ cases do notcontain the number $$9$$. Thus, the favorable number of cases is $$97-87$$. Hence, the required probability is $$97$$−$$87/157$$.

Fifteen coupons ate numbered 1, z, 3, 15. Seven coupons are selected at random one at a time with replacement. The probability that the largest number appearing on selected coupon is 9 is

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