The Celtics and the Lakers are set to playa playoff series of n basketball games, where n is odd. The Celtics have a probability p of winning any one game, independent of other games.

(a) Find the values of p for which n = 5 is better for the Celtics than n = 3.

(b) Generalize part (a) i.e., for any k > 0, find the values for p for which n = 2k + 1 is better for the Celtics than n = 2k - 1.