Question: Suppose two teams play a series of games, each producing a winner and a loser, until one team has won two more games than the other. Let G be the total number of games played. Assuming your favorite team wins each game with probability p, independently of the results of all previous games, find:
a) P(G = n) for n = 2, 3, . .
b) E(G):
c) Vαr(G).