I'm in desperate need of guidance. I have no idea how to answer this question and it is so frustrating for me because I've spent so long trying to figure it out! Thank you for your help :)
In a tournament, two players continue to play each other until one of them wins three games. If the probability that A wins any single game is 0.4 and the probability that B wins it is 0.5, find
a) the probability the first game is a draw
b) the probability A wins the first three games
c) the probability the tournament is just three games long
d) the probability A wins the first two games, and not the third.