The Rockets and the Spurs are set to play a playoff series of n basketball games, where n is odd. The Spurs have a probability p of winning any one game, independently of other games.

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

n= 2k-1.