Trying to come up with the conditional probability for a problem that deals with court cases and number of appeals and reversals for a particular judge.
Judge smith
Total Cases 3037
Appealed Cases 137
Reversed Cases 12
Prob(Appeal) .0451
Prob(Reverse) .0040
What I want to find out is the probability of a reversal, given an appeal.
The 12 reversed cases are part of the 137 appealed cases but I'm not sure how I need to write and set up the problem to solve.