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

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