6 Tom and Ben play a game repeatedly. The probability that Tom wins any game is 0.3 . Each game is won by either Tom or Ben. Tom and Ben stop playing when one of them (to be called the champion) has won two games.
- Find the probability that Ben becomes the champion after playing exactly 2 games.
- Find the probability that Ben becomes the champion.
- Given that Tom becomes the champion, find the probability that he won the 2nd game.