Question

At a local college, 297 of the male students are smokers and are 693 non-smokers. Of the female students 180, are smokers and 720 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

P(selecting a non-smoker male out of all the males) = (No. of non-smoker males)/(Total no. of males)

= 693/(297+693)

= 693/990

= 0.7

P(selecting a non-smoker female out of all the females) = (No. of non-smoker females)/(Total no. of females)

= 720/(180+720)

= 720/900

= 0.8

Thus, if a male and a female student are selected, then the probability that both are non-smokers = P(selecting a non-smoker male out of all the males)*P(selecting a non-smoker female out of all the females)

= 0.7*0.8

= 0.56 [Answer]

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