The World Series consists of a sequence of at most seven games that terminates when one team wins its fourth game. Suppose that the stronger team (the favorite) has probability p (where p > 1/2) of winning any particular game. Then the probability of the weaker team (the underdog) winning any particular game is 1 - p.

(b) Determine the probability that the underdog wins the World Series in four games. Six games. Seven games.
(c) Show that, if p = .6, then the probability that the underdog wins the World Series is .289792.
(d) Explain why the probability in part (c) is the same as

Transcribed Image Text:

()P^(1 – p)' + (})p'(1 – p)° + (?)p°(1 – p)° + |G)P(1 – p)*.