A taxicab was involved in a fatal hit-and-run accident at night. Two cab companies,the Blue and Black, operate in the city. You are told that: ■ 75% of the cabs in the city are Blue and 25% are Black....

A taxicab was involved in a fatal hit-and-run accident at night. Two cab companies,the Blue and Black, operate in the city. You are told that:

■ 75% of the cabs in the city are Blue and 25% are Black.

■ A witness identified the cab as Black.

The court tested the reliability of the witness under the same circumstances that existed during the night of the accident and concluded that the witness was correct in identifying the colour of the cab 80% of the time. What is the probability that the cab involved in the accident was Black rather than Blue?