Suppose that 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 1% of the time. what is the probability that the operation is successful for someone who has an operation that is free from infection?

Suppose that 3% of all athletes are using the endurance-enhancing hormone epo (you should be able to simply compute the percentage of all athletes that are not using epo). for our purposes, a “positive” test result is one that indicates presence of epo in an athlete’s bloodstream. the probability of a positive result, given the presence of epo is .99. the probability of a negative result, when epo is not present, is .90. what is the probability that a randomly selected athlete tests positive for epo? 0.0297