Question In a National Basketball Association NBA championsh

Question: In a National Basketball Association (NBA) championship series, the team which wins four games out of seven will be the winner. Suppose that team A has probability 0.55 of winning over team B, and assume that both teams A and B face each other in the championship series.

(a) Determine the probability that team A will win the series in six games.

(b) Determine the probability that team A will win the series.

(c) If both teams face each other in a regional playoff series, the winner is decided by winning three out of five games. Determine the probability that team A will win the playoff.

Solution

(a)The probability that team A will win the series in six games is: 0.55^6=0.027

(b)The probability that team A will win the series is 0.55^4=0.091