Two basketball players play a game in which the y alternately shoot a basketball at a hoop.

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Two basketball players play a game in which the y alternately shoot a basketball at a hoop. The first one to make a basket wins the game. On each shot, Player 1 (the one who shoots first) has probability p1 of success, while Player 2 has probability p2 of success (assume 0 < p1, p2 < 1). The shots are assumed to be independent.

a. Find P(W1), the probability that Player 1 wins the game.

b. For what values of p1 and p2 is this a fair game, i.e., each player has a 50 percent chance of winning the game?

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