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You and a friend are playing a best-of-three series (first to win 2 games wins the series). You are a stronger player and have

You and a friend are playing a best-of-three series (first to win 2 games wins the series). You are a stronger player and have a 0.66 chance of winning each game. Both you and your friend play better after winning a game. If you win a game, your chance of winning the next game is 0.92. If your friend wins a game, the chance they win the next game is 0.58. What is the probability you win the series?

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