Question

At a local college, of the male students are smokers and are non-smokers. Of the female students, are smokers and are non-smokers. A male student and a female student from the college are randomly selected for a survey. What is the probability that both are smokers?

Answer 1

The fraction of males who are smokers = 10/500 = 1/50

The fraction of females who are smokers = 40/403

The probability that both are smokers is the product of these two:

P(both) = (1/50)*(40/403) = (4/5)*(1/403)