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Of all the people applying for a certain​ job, 70​% are qualified and 30​% are not....

Of all the people applying for a certain​ job, 70​% are qualified and 30​% are not. The personnel manager claims that she approves qualified people 80​% 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.

The probability is...?

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