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Question: The probability a beginning golfer makes a good shot if he selects the correct club is 1/3. The probability the shot is good with the wrong club is 1/5. In his bag are four different clubs, only one of which is correct for the shot he is about to make. Sinc the beginner knows practically nothing about the choice of the proper club, he selects a club at random. He chooses a club and takes a stroke. What is the probability he got off a good shot? Given that he got off a good shot, what is the probability that he chose a wrong club?

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