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Suppose the fraction of undergraduate students who smoke is 15% and the fraction of graduate students …

Suppose the fraction of undergraduate students who smoke is 15% and the fraction of graduate students …

  
Suppose the fraction of undergraduate students who smoke is 15% and the fraction of graduate students who smoke is 23%. If one-fifth of the college students are graduate students and the rest are undergraduates, what is the probability that a student who smokes is a graduate student?

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