Question

A squash match is won when one player wins three games. This situation is often referred to as winning the "best-three-out-of-five" Barbara has a slight edge in winning each game with the odds in favour of 5 to 4
a) what is the probability that maria will win in three straight games?
b) what is the probability of barbara's winning the match?

Answer 1

P=favorable outcomes / possible outcomes
5:4 = 5 / (5+4) = 5/9
(5/9)*(5/9)*(5/9) = 125/729, which is as simple as it goes as far as i know.
as for part b,
i am not sure, and so i will refrain from answering because i will likely be wrong

Answer 2

thank you!