Two teams, team A and team B, are playing in a best 2 out of 3 tournament. Team A has a 60% chance of winning any game. What is the probability that team A wins the tournament?
Team A will win the tournament if the games go like this:
A and A: (0.60) · (0.60) = .....
A and B and A: (0.60) · (0.40) · (0.60) = .....
B and A and A: (0.40) · (0.60) · (0.60) = .....
Find each of the individual probabilities and add those values together .....