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Two athletic teams play a series of games; the first team to win 4 games is declared the overall winner. Suppose that one of the

Two athletic teams play a series of games; the first team to win 4 games is declared the overall winner. Suppose that one of the teams is stronger than the other and wins each game with probability .6, independently of the outcomes of the other games. Compare the probability that the stronger team wins a 4-out-of-7 series with the probability that it would win a 2-out-of-3 series. Which of the two series formats is better for the stronger team?

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