In: Statistics and Probability
Consider a best-of-seven series. Two teams A and B play one another until one of the teams wins 4 games. The games are played indepedently, and the probability of team A winning any game is 2/3.
a. Find the expected number of games the series lasts.
b. Find the expected number of games team A wins.
c. Find the expected number of games team B wins.
d. Find the probability of team B winning the series.