Question

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 male. Round to the nearest thousandth.

First Class of the Day for College Students

Male Female
Humanities 70 80
Science 50 80
Other 60 70

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the probability that a student's first class of the day is a humanities class, given the student is male, we need to calculate the following:

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

P(Humanities and Male) = 70 (number of male students taking humanities)
P(Male) = 70 + 50 + 60 = 180 (total number of male students)

P(Humanities | Male) = 70 / 180 ≈ 0.389

Therefore, the probability that a student's first class of the day is a humanities class, given the student is male, is approximately 0.389 or 38.9%.