Question

In a class of students, the following data table summarizes the gender of the studentsand whether they have an A in the class. What is the probability that a student whohas an A is a female?Female MaleHas an A24Does not have an A176

Answer 1

We are asked to find the probability that a student is female given that they have an A.

Since this is the case, we limit ourselves to observing the row "Has an A".

In said row, there is a total of 6 students who have an A. Out of those 6, 2 are female.

Thus, P(Female|A) = 2/6 = 1/3 = 33.33%.