Question

In a class of students, the following data table summarizes the gender of the students and whether they have an A in the class. What is the probability that a student who has an A is a male?
Female Male
Has an A 8 13
Does not have an A 7 2

Answer 1

We want P(Male | Has an A) = (number of males with an A) / (total number with an A) = 13 / (8+13) = 13/21 ≈ 0.619 ≈ 61.9%.