Two boys play basketball in the following way. They take

Chapter , Problem 14

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Two boys play basketball in the following way. They take turns shooting and stop when a basket is made. Player A goes first and has probability \(p_1\) of making a basket on any throw. Player B, who shoots second, has probability \(p_2\) of making a basket. The outcomes of the successive trials are assumed to be independent.

a. Find the frequency function for the total number of attempts.

b. What is the probability that player A wins?

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