The Celtics and the Lakers are set to play a 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 (aL 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.

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