SOLUTION: You have torn a tendon and are facing surgery to repair it. The surgeon explains the risks to you: infection occurs in 3% of such operations, the repair fails in 14% and both infec

Question 404208: You have torn a tendon and are facing surgery to repair it. The 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?

Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
P(fail U infection) = P(fail) + P(infection) - P(fail AND infection) = 0.03 + 0.14 - 0.01 = 0.16
==> P(success AND infection-free) = 1 - 0.16 = 0.84.
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