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At a particular University, 1/2 of the students drink alcohol and 1/3 of the students smoke cigarettes. (a) What is the largest possible fraction of

At a particular University, 1/2 of the students drink alcohol and 1/3 of the students smoke cigarettes.

(a) What is the largest possible fraction of students who do neither?

(b) It turns out that, in fact, 1/3 of the students do neither. What fraction of the students does both?

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