A single match at the men's U.S. Open consists of a sequence of at most five sets that terminates when one person wins his third set. Suppose that the stronger person (the favorite) has probability p (where p > 1/2 ) of winning any particular set. Then the probability of the weaker person (the underdog) winning any particular set is 1 - p.

(b) Determine the probability that the underdog wins the match in three sets. In four sets.
(c) Show that, if p = .7, then the probability that the underdog wins the match is .16308.
(d) Explain why the probability in part (c) is the same as

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2)P |()»(1 – p)³ + (})p'(1 – py* + (¿)p°(1 – p².