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A badminton player has a 70% chance of winning the first game of a 2 set match. If she wins the first game, her confidence

A badminton player has a 70% chance of winning the first game of a 2 set match. If she wins the first game,

her confidence goes up and she has a 90% chance of winning the second game. If she loses the first game, her

confidence drops and she only has a 40% chance of winning the second game. If she just won the second

game of a 2 set match, what is the probability that she also won the first game?

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