Kim and Susan are playing a tennis match where the winner must win 2 sets in order to win the match.
For each set the probability that Kim wins is 0.56. The probability of Kim winning the set is not affected by who has won any previous sets.
(a) What is the probability that Kim wins the match?
(b) What is the probability that Kim wins the match in exactly 2 sets (i.e. only 2 sets are played and Kim is the one who ends up winning)?
(c) What is the probability that 3 sets are played?