You have torn a tendon and are facing surgery to repair it. The surgeon explains the risks to you: infection occurs in 8% of such operations, the repair fails in 17%, and both infection and failure occur together in 2%. What percent of these operations succeed and are free from infection?

77% of the operations succeed and are free from infection.

Step-by-step explanation:

Consider the following events. A = An infection occurs, B = the repair fails. Then, we are given the following probabilities P(A) = 8%, P(B) = 17% and P(AB) = 2%. We are asked for the following probability . First, recall the following formulas.

(known as Demorgan's Law)

Note that we are asked to calculate which is equivalent to . Using the formulas, we have that = 8%+17%-2% = 23%. Then, = 1-23% = 77%

the answer is 11.2 (i know i’m late)

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