Two athletic teams play a series of games; the first team winning 4 games is the winner. The World Series is an example. Suppose that I of the teams is stronger than the other and has probability p of winning each game, independent of the outcomes of any other games. Assume that a game cannot end in a tie. Show that the probabilities that the series will end in 4, 5, 6, or 7 games are (i) if P = 2/3, 0.21, 0.296, 0.274, and 0.22, respectively, and (ii) if P = ½, 0.125, 0.25,0.3125, and 0.3125, respectively.