1/5 of the adult population in the U.S. smoked in 2005. Within part of the population that smoked, 6/25 of them were aged 25-44. What fraction of the adult population in the U.S. was aged 25-44 and smoked?

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1/5 of the adult population in the U.S. smoked in 2005. Within part of the population that smoked, 6/25 of them were aged 25-44. What fraction of the adult population in the U.S. was aged 25-44 and smoked?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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P(A and B) = P(A) * P(B | A) Event A is an adult that smokes. Event B is an adult that is age 25 - 44. P(A) = P(smokes) = 1/5 = .2 P(B | A) = P(age 25 - 44 | smokes) = 6 / 25 = .24 P(smokes and age 25 - 44) = .2 * .24 = .048 = 4.8% = 6/125

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