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Travelers buying airline tickets on a particular flight purchase economy class (40%), economy plus (35%) or business (25%). Of those in economy, 30% purchase

 

Travelers buying airline tickets on a particular flight purchase economy class (40%), economy plus (35%) or business (25%). Of those in economy, 30% purchase duty-free goods in the onboard store, of those in economy plus 60% purchase duty-free, and of those in business 50%. Given that the next passenger bought duty-free, what is the probability that he is traveling in economy?

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