# Question

Among the 78 doctors on the staff of a hospital, 64 carry malpractice insurance, 36 are surgeons, And 34 of the surgeons carry malpractice insurance. If one of these doctors is chosen by lot to represent the hospital staff at A ∩ A ∪ M. A ∪ convention (that is, each doctor has a probability of 1/78 of being selected) , what is the probability that the one chosen is not a surgeon And does not carry mal-practice insurance?

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