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Suppose there are n types of coupons, and each new one collected is independent probability pi, Li= Pi = 1. Suppose k coupons are to

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Suppose there are n types of coupons, and each new one collected is independent probability pi, Li= Pi = 1. Suppose k coupons are to be collected. If A; is the e at least one type i coupon among those collected, then for i # j, find the following (a) P(A;) and P(A; UA;) (b) P(Ai | A; ) (c) When pi = Pj = p, show that P(A; | Aj)

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