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 is a female given that they have an A?
Female Male
Has an A 3 10
Does not have an A 5 2

Answer 1

P(female | has A) = number of females with A / total number with A = 3 / (3+10) = 3/13 ≈ 0.2308 (≈ 23.08%).