A and B play a series of games. Each game is independently won byAwith proba-bilitypand byBwith probability 1−p. They stop when the total number of winsof one of the players is two greater than that of the other player. The player withthe greater number of total wins is declared the winner of the series.(a) Find the probability that a total of 4 games are played.(b) Find the probability that A is the winner of the series.