The table shows the results of a survey of college students. Find the probability that a student’s first class of the day is a humanities class, given the student is female. Round to the nearest thousandth.

Question

First Class of the Day for College Students

Male Female
Humanities 70 80
Science 50 80
Other 60 70

Answer 1

P(Humanities | Female) = P(Humanities and Female) / P(Female)

P(Humanities and Female) = 80
P(Female) = 80 + 80 + 70 = 230

P(Humanities | Female) = 80 / 230 ≈ 0.348

Therefore, the probability that a student's first class of the day is a humanities class, given the student is female, is approximately 0.348.