Suppose you did your own study to evaluate the performance o

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

Solution

It is case of conditional probability

P(a case from this three-year period was not appealed) = 0.266 + 0.297 + 0.368 = 0.931

, the probability the judge in the case was not Judge Carter = 0.28+0.32 = 0.6

P(Given a case from this three-year period was not appealed, the probability the judge in the case was not Judge Carter) = 0.6/0.931 = 0.644