Independent of what has been previously obtained

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1. Suppose that two teams are playing a series of games, each of which is independently won by team A with probability p and by team B with probability 1-p. The winner of the series is the ?rst team to win four games. Find the expected number of games that are played, and evaluate this quantity when p = 1/2.

2. 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.

Reference no: EM131005628

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