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?

Question

Mathematics

Valery Zamora

3 August, 20:07

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?

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Answers (1)

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Billy Carson · 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)