Probability of independent events: Decimal answers

Question

At a local college, 245 of the male students are smokers and 245 are non-smokers. Of the female students, 180 are smokers and 420 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 non-smokers?

Do not round your answer

Answer 1

Event A - male is a non-smoker. probability = 245/490 = 0.5

Event B - female is a non-smoker. probability = 420/600 = 0.7

Probability both a male and a female are non-smokers = 0.5 * 0.7 = 0.35