Question

At a local college 93 of the male students are smokers and 217 are non-smokers of the female students, 114 are smokers and 186 are non-smokers. A ma

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

Do not round your answer

?

Answer 1

The probability that the male student is a non-smoker is 1 - 93/310 = 217/310.

The probability that the female student is a non-smoker is 186/300 = 31/50.

The probability that both are non-smokers is (217/310) * (31/50) = 67127/155000.

Therefore, the probability that both the male and female students selected are non-smokers is 67127/155000.