There are two players playing named John and Peter. The one who wins three games first is the winner of the match. So the max no. of games needed is 5. And John has probability of winning is 0.6 and assume that all games are independent.

(a)Given that John has lost the first two games, Find the probability so that he can still be the winner of the match?

(b) Given that John lost the first game, Find the probability that John will still be the winner?

(c) Find the probability that the number of games needed is exactly 5?

Sorry for so many questions but I have tried a lot and am unable to answer!