Solve the problem.

3) At a track meet with 135 participants, 25 participate in jumping events, of these jumpers are female, and

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?

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 total number of participants in the track = 135 The total number of participants in jumping events = 25

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.