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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 73% of witnesses are

Someone witnesses a crime involving a taxi. The witness tells the police that the taxi was blue. The police know that 73% of witnesses are correct and also that 23% 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? Please explain answer

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