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Someone witnesses a crime involving a taxi. The witness tells the police that the taxi was blue. The police know that 71% of witnesses are

Someone witnesses a crime involving a taxi. The witness tells the police that the taxi was blue. The police know that 71% of witnesses are correct and also that 11% of all of the taxis that could have been involved are blue while the rest are green. What is the probability that the taxi was in fact blue? Write your answer out to two decimal places so that 1% is .01, 99% is .99, etc.

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