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What is the probability that she wins the next point

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The two players rally back and forth until the birdie hits the ground. Let's assume the traditional scorekeeping system for badminton, where you score a point when you win a rally as the server. If you win a rally as the receiver, the score remains unchanged, but you get to serve and thus the opportunity to score. Suppose Ann wins a rally against Bob with probability p, regardless of who serves. Assume rallies are won independently of each other. If Ann is currently the server, what is the probability that she wins the next point? Express your answer as a function of p.

Reference no: EM132851944

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