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In a certain study a drug is found to be efficient in 67% of the people who were sick and took the drug. There are 12% of people in the study who reported minor side effects of taking the drug (soreness, headache or nausea). Also, of all the sick people for whom the drug was efficient, 8% of them had the minor side effects. Suppose a sick person takes the drug. If they experience a side effect, what is the probability the drug will be efficient on that person, i.e. the patient will quickly recover?
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