If instead Team A has a (90 %) chance of winning each game, what is the probability

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If instead Team A has a \(90 \%\) chance of winning each game, what is the probability that Team A wins the series?

We consider two baseball teams playing a best-of-three series (meaning the first team to win two games wins the series). Team A is a little bit better than Team B, so we expect Team A will win \(55 \%\) of the time.

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