Answer to Question #15222 in Statistics and Probability for Darius

Question

Over a three year period in Smallsville, Judge Adams saw 37% of the cases, Judge Brown saw 39% of the cases and Judge Carter saw the remainder of the cases. Nine percent of Judge Adams' cases were appealed, 8% of Judge Browns's cases were appealed, and 6% of Judge Carters cases were appealed.

Given a randomly selected case from this three year period was not appealed, what is the probability the judge in the case was not Judge Carter?