You estimate the chances of your favorite sports team winning any game against its current play-off opponent to be π = 0.6. For the sake of this problem, assume that the outcome of each game is independent of the others.
a) What is the probability that your team will win a best-of-three play-off (first team to win two games wins)?
b) What is the probability that your team will win a best-of-5 play-off?
c) What is the probability that your team will win a best-of-7 play-off?