Problem 2: In a galaxy far, far away, 90 % of the taxicabs are green and 10% are blue. An accident involving a taxicab occurs; we presume that the accident rate for green taxicabs is the same as that for blue taxicabs. A court considers the accident and a newspaper reporter who was at the scene says, "The cab involved was blue." This reporter is usually reliable; in fact, his statements are correct 80% of the time. That is, if the taxicab involved in the accident was in fact blue (or, green), the probability that our witness would say "blue" (or "green") is 0.8. What is the probability that the taxicab involved in the accident was blue, given that the reporter's statement?
I.e., Find probability P(Cab=blue | Rep = blue).
