Anita and Bianca are playing a tennis match. The overall chance of winning a game for Bianca is 0.6.

(a) Suppose that if a person has a chance of G in winning a game their chance of winning a set at score a:b for b ? 4 is

To get the result for a win 7:5 or 7:6 use conditional results:

P(7: 5 win) = P(6: 4)G(1 ? G); P(7: 6 win) = P(6: 4)G(1 ? G) ²

(b) From part (a) we know the chance of Blanca winning a set. What is her chance of winning a match if they play to first winning 2 sets?

(a:b win) - ( a + b - 1) G(1-G)" = G