There two cab companies operating in a city... The Blue Cab Company operates only blue cabs, and the Green Cab Company operates only green cabs. Exactly 85% of the cabs are blue, and 15% are green. A cab was involved in a hit-and-run accident at night. An honest eyewitness, Wilber, identified the cab as a green cab. It was found that Wilbur could correctly identify the color of cabs at night 80% of the time. Given that Wilbur said that he saw a green cab, what's the probability that the actual cab involved in the hit-and-run was from the Green Cab Company?

Give an explanation of your thought process and how you got to the answer, please?