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?

a: .35
b: .56
c: .69
d: .83

Answer 1

The probability is 83%

Explanation:

So for plato users the correct answer is option D. 0.83

Answer 2

66% of the students are female AND study with Carl,
That means that (66% female) ÷ (80 % of all students) = 82.5% of Carl's yoga students are female.

The probability, therefore of that a randomly selected student of Carl's is female is
D) .83