The cincinnati enquirer is writing a piece about the effectiveness of judges in hamilton county, ohio. in an overwhelming majority of the cases disposed, the verdict stands as rendered. however, some cases are appealed, and of those appealed, some of the cases are reversed. over a three-year period the hamilton county common pleas court, domestic relations court, and municipal court handled 182,908 cases. the purpose of the newspaper’s study is to evaluate the performance of each court and the judges who render their decisions. appeals are often the result of mistakes made by judges, and the newspaper wanted to know which court and which judges were doing a good job and which were making too many mistakes. you have been hired to assist in the data analysis at the court level (judge-level analysis will be done at a later time). you must use your knowledge of probability and conditional probability to determine the likelihood of appeal and reversal for cases handled by different courts. out of all the appealed cases, what is the probability of a successful appeal?