At a track meet with 190 participants, 20 participate in jumping events, 1/4 of these jumpers are female, and 1/2 of the total participants are female. What is the probability that a participant chosen at random is a jumper, given that the person is a female?

Answer 1

20 jump
1/4 of those = 5 are female jumpers
1/2 of 190 = 95 are female
So, p(jumper|female) = 5/95