Question

Of all the yoga students in a particular area, 20% study with Patrick and 80% study with Carl. We also know that 8% of the yoga students study with Patrick and are female, while 66% of the students study with Carl and are female. What is the probability that a randomly selected yoga student is female, given that the person studies yoga with Carl?

Answer 1

0.35

0.56

0.69

0.83

Answer 2

D. Confirm it.

Answer 3

The probability that a randomly chosen student is female, given that the student studies with Carl is
$$
P(f|C)=\cfrac{P(f\cap C)}{P(C)}
$$
Where \(f\cap C\) are the female yoga students that study with Carl and \(C\) are the yoga students who study with Carl.