2. (3 points) A taxi involved in a night-time hit-and-run accident was identified by an eyewitness as being blue. Suppose that in the city, 87% of the cabs are blue and 13% are green. Tests indicated that the witness (in conditions of poor lighting) was able to distinguish correctly the colors blue and green 75% of time. What is the probability that the cab was indeed blue given the eyewitness testimony?