At a local college, 164 if the male students are smokers, and 246 are non-smokers. Of the female students, 90 are smokers and 210 are non-smokers.

Question

A male student and a female student from the college was randomly selected for a survey. What is the probability that both are non-smokers?

Answer 1

The probability of a selected male being a smoker is 164/410 (410 is the total of smoking and nonsmoking males). The probability of a selected female being a smoker is 90/300. The probability of the two events is their product, since we generally assume the events to be independent.

164/410 · 90/300 = 3/25 = 0.12.