Two boys play in the following way. They take turns shooting and stop when a basket is made. Player A goes first and has probability p1 of making a basket on any throw. Player B, who shoots second, has probability p2 of making a basket. The outcomes of succesive outcomes are assumed to be independent.

(a) (0.75 points). Find the probability mass function for the total number of attempts.

(b) (0.75 points). What is the probability that player A wins?