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# Conditional probability

If there are no serious complications, the conditional probability of A is 0.76. Draw a tree diagram that summarizes this information. Then calculate P (A) assuming that John chooses the surgery. Does surgery or medical management oer him the better chance of achieving his goal? 4.61 Deal a ve-card poker hand from a shued deck. What must be the probability of getting a hand better than two pairs? What is the probability of getting a hand that is not worthless? 4.62 You have torn a tendon and are facing surgery to repair it. The orthopedic surgeon explains the risks to you. Infection occurs in 3% of such operations, the repair fails in 14%, and both infection and failure occur together in 1%. What percent of these operations succeed and are free from infection?

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