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 has an A given that the student is female?
Female Male
Has an A 5 3
Does not have an A 10 2

Answer 1

We want P(A | female) = (number of females with an A) / (total number of females) = 5 / (5+10) = 5/15 = 1/3 ≈ 0.333 (33.3%).