Suppose that two teams are playing a series of games, each of which is independently won by

Question:

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 first team to win 4 games. Find the expected number of games that are played, and evaluate this quantity when p = 1/2. -

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