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In: Statistics and Probability

You are about to play a series of 9 chess games online against an opponent called...

You are about to play a series of 9 chess games online against an opponent called EliteChampion. The first to win 5 games wins the series. (Ignore the possibility of a draw.) You know that EliteChampion is most likely your friend, Jenna. There’s a 20% chance EliteChampion is your Mom, and that’s the only other possibility. You beat your Mom 70% of the time, but you only beat Jenna 40% of the time. Given that you won the first game, what is the probability you will win the series? Give an exact answer and also give a numerical approximation, correct to four decimal places.

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orchestra answered 1 year ago
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