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Two boys are repeatedly playing a game that they each have

Question: Two boys are repeatedly playing a game that they each have probability 1/2 of winning. The first person to win 5 games wins the match. What is the probability that Al will win if

(a) he has won 4 games and Bobby has won 3 and

(b) he leads by a score of 3 games to 2?

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Mathematics: Two boys are repeatedly playing a game that they each have

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