Suppose that each coupon obtained is, independent of what has been previously obtained, equally likely to be

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Suppose that each coupon obtained is, independent of what has been previously obtained, equally likely to be any of m different types. Find the expected number of coupons one needs to obtain in order to have at least one of each type.

Hint: Let X be the number needed. It is useful to represent X byimage text in transcribed

where each Xi is a geometric random variable.

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