1/9 is the probability that a participant chosen at random is a jumper, given that the person is a female.
Step-by-step explanation:
In the question, some of the data are missing.
So the correct question is "At a track meet with 135 participants, 25 participate in jumping events, 1/5 of these jumpers are female, and 1/3 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?"
Given,
The number of females in the track = 1/3 of the total participants
⇒ 1/3 (135)
⇒ 45 female participants.
The number of females in jumping event = 1/5 of the jumpers
⇒ 1/5 (25)
⇒ 5 female jumpers.
To find the probability of a female jumper participant :
P(a female jumper) = No.of female jumpers / Total female participants.
⇒ 5 / 45
⇒ 1 / 9.
∴ 1/9 is the probability that a participant chosen at random is a jumper, given that the person is a female.
