Question

Suppose there is a 11.2% probability that a randomly selected person is aged 20 years or older and is also a jogger. In addition there is a 23.8% chance that a person is 20 years or older, female, given that he or she also jogs. What is the probability a randomly selected person will be female, 20 or older, and also a jogger?

I'm trying to use the conditional probability but it isn't working out=(

Answer 1

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

Assuming that you are saying that 23.8% of the 11.2% of the 20+ joggers are female, I would say .112 * .238 = ,0267.

However, the female joggers cannot be "he."