Question

of all yoga students in a particular area 20% study with patrick and 80% study with carl. we also know that 8% of the students that study with patrick are female, while 66% of the students that study with carl are female. what is the probability that a randomly selected yoga student is female, given that the student studied yoga with carl?

Answer 1

The answer to your question is 0.56

Answer 2

Answer: 82.5%

Step-by-step explanation:

We are given that the percentage of yoga students study with Carl = 80%

Then probability of students study with Carl = 0.80

Similarly, the probability of yoga students that are female and studied yoga with Carl = 66%=0.66

Now, the probability that a randomly selected yoga student is female, given that the student studied yoga with Carl is given by :-

$\text{P(female}|\text{studied with Carl)}}=\dfrac{\text{P(female and studied with Carl}}{\text{P(students studied with Carl)}}\\\\\Rightarrow\ \text{P(female}|\text{studied with Carl)}}=\dfrac{0.66}{0.8}=0.825=82.5\%$