Suppose you did your own study to evaluate the performance of the three judges in Smallville, Texas: Judge Adams, Judge Brown, and Judge Carter. Over a three-year period in Smallville, Judge Adams saw 28% of the cases, Judge Brown saw 32% of the cases, and Judge Carter saw the remainder of the cases. 5% of Judge Adams' cases were appealed, 7% of Judge Brown's cases were appealed, and 8% of Judge Carter's cases were appealed.
Given a case from this three-year period was not appealed, what is the probability the judge in the case was not Judge Carter?