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1. Teams A and B play games until one of the teams has won two times. For each game, Team A wins with probability p.

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1. Teams A and B play games until one of the teams has won two times. For each game, Team A wins with probability p. Assume the games are independent of one another. (a) What is the expected number of games to be played? (b) For what value of p is the answer to part (a) maximized

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