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

Algebra ->  Probability-and-statistics -> 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      Log On


   

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) About Me  (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.