Question

A horse wins 12% of its races on dry tracks, but only 6% of its races on wet tracks. A certain race track is dry 80% of racing days and wet 20% of racing days.
a)What is the probability that, on a random day the track is wet and the horse wins?
b) What is the probability that, on a random day the track is wet and the horse loses?
I would appreciate any help from anyone! Thanks!!

Answer 1

a) It's a conditional probability: P(wins/wet)= P(wetand wins)/P(wet)= 0.06/0.20= 0.3
b) 1-0.3=0.7 - I think