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Of all the people applying for a certain job, 60% are qualified and 40% are not. The personnel manager claims that she approves qualified people

Of all the people applying for a certain job, 60% are qualified and 40% are not. The personnel manager claims that she approves qualified people 75% of the time; she approves unqualified people 40% of the time. Find the probability that a person is qualified if he or she was approved by the manager.

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