Many best of seven series are scheduled so that the rst two games are played at the home eld of team A, the next three games are played at the home eld of team B, and the last two are played back at the home eld of team A. Of course, if one team wins 4 games before the series is over, then the remaining games will not be played. Assume that both reams win on their own home eld with probability 35. (a) What is the probability that team A wins the series?

(b) What is the expected number of games that the series goes to?