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 does not have an A given that the student is female?
Female Male
Has an A 3 2
Does not have an A 6 8

Answer 1

We want P(Does not have an A | Female) = (number of females without an A) / (total number of females) = 6 / (3+6) = 6/9 = 2/3 ≈ 66.7%.