A witness to a hit-and-run accident involving a taxi claims that the escaping taxi was black. The taxi company has cars of two colors: black

and dark green, and it has twice as many dark green cars as black cars. As it was dark at the time of the accident, it might have been difficult to tell the difference between the two colors, so the witness is tested. Cars of known colors are driven by the witness under similar conditions, and each time the witness states the color. The witness manages to classify 90% of black cars and 80% of green cars correctly. Introduce relevant events and compute the probability that the escaping taxi was black.