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 is the probability of infection given that the repair is successful? (give your answer to four decimal places.)

Question

Camden Cisneros

Biology

28 May, 08:26

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 is the probability of infection given that the repair is successful? (give your answer to four decimal places.)

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Alfred Medina · Answer 1

0.0223

The likeliness of an infection given that the repair is successful is obtained by dividing the probability of both infection and unsuccessful procedures together along with probability of both infection and successful procedures together. Therefore, in this case, It can be expected that about 2.33% of times that infection will although the repair is successful.