6 Louise and Marie play a series of tennis matches. It is given that, in any match, the probability that Louise wins the first two sets is \(\frac { 3 } { 8 }\).
- Find the probability that, in 5 randomly chosen matches, Louise wins the first two sets in exactly 2 of the matches.
It is also given that Louise and Marie are equally likely to win the first set.
- Show that P (Louise wins the second set, given that she won the first set) \(= \frac { 3 } { 4 }\).
- The probability that Marie wins the first two sets is \(\frac { 1 } { 3 }\). Find
P(Marie wins the second set, given that she won the first set).