Suppose the National League team has a probability of (frac{3}{5}) of winning a World Series game and

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Suppose the National League team has a probability of \(\frac{3}{5}\) of winning a World Series game and the American League team has a probability of \(\frac{2}{5}\). The series is over as soon as one team wins four games. Find the probability that the National League team wins the series in seven games.

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