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3. Roger Federer serves 50% of games (P(51=.5) and returns the other 50% of games played (P(R)=PC(S)=.5}. Sometimes he wins the point (PlWll and sometimes

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3. Roger Federer serves 50% of games (P(51=.5) and returns the other 50% of games played (P(R)=PC(S)=.5}. Sometimes he wins the point (PlWll and sometimes he loses (P(L)). The probability that Federer is returning and loses the point is P(R n L) =0.3. a. What is the probability he wins when returning, P(W|R)? (6) b. The probability that he serves and wins is P(S n W) = 0.35. What is the probability that he loses when serving P(L|S)? (6) c. When Federer wins a point, what is the probability that he was returning P(R| W}? (6)

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