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Alex, Ben, and Carla are playing basketball. Alex has g chance of making a free throw, Ben has a 1 5 chance of making a
Alex, Ben, and Carla are playing basketball. Alex has g chance of making a free throw, Ben has a 1 5 chance of making a free throw, and Carla has a 3 chance of making a free throw. Suppose they take turns shooting free throws, going in alphabetical order. (a) What is the probability that only one person makes their rst free throw? (b) What is the probability that exactly two people make their rst free throw? (c) Suppose they keep shooting free throws until someone makes one (the winner). What is the probability that Ben is the winner? (d) What is the probability that Ben is the winner if he goes rst
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