Suppose that you have a torn ACL ligament and are facing surgery to repair it. The surgeon explains the risks to you: Infection occurs in 1.7% of such operations, the repair fails in 13% of such operations, and infection and failure both occur in 0.8% of such operations. Construct a Venn Diagram for this situation. What is the probability that the repair fails and there was no infection? If its known that there was no infection, what is the probability that the repair succeeds?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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  1. Suppose that you have a torn ACL ligament and are facing surgery to repair it. The surgeon explains the risks to you: Infection occurs in 1.7% of such operations, the repair fails in 13% of such operations, and infection and failure both occur in 0.8% of such operations.
  • Construct a Venn Diagram for this situation.
  • What is the probability that the repair fails and there was no infection?
  • If its known that there was no infection, what is the probability that the repair succeeds?
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