In the 2014-15 season, the Toronto Maple Leafs won30of82games. If we assume this means the probability of the Leafs winning any given game is0.37, then we can predict how they would have done in a playoff series.

Answer the following questions to determine the probability that the Leafs would have won a best of7 playoff series (i.e., won4games) had they made the playoffs last season.

a.Calculate the number of sequences which correspond to the Leafs winning the series. (Note that the answer isnotC(7,4).)

b.Calculate the probability that the Leafs would win the series.