Question

any local College 63 of the male students are smokers in 147 or non-smokers the female students 70 or smokers and 130 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

about 0.2308

Explanation:

You want the probability that a male and female student are both smokers if 63 of 147 male students smoke, and 70 of 130 female students smoke.

Probability

The probability the selected male student smokes is 63/147 = 3/7. The probability the selected female student smokes is 70/130 = 7/13. The probability they both smoke is the product of these probabilities:

P(both smoke) = (3/7)(7/13) = 21/91 ≈ 0.2308

The probability both selected students are smokers is 21/91, about 23.1%.

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