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An eyewitness observes a hit-and-run accident in New York City, where 95% of the cabs are yellow and 5% are blue. The witness asserts the

An eyewitness observes a hit-and-run accident in New York City, where 95% of the cabs are yellow and 5% are blue. The witness asserts the cab was blue. Police experts believe that eyewitnesses are 80% reliable. That is, an eyewitness will correctly identify the color of a cab 80% of the time. What is the probability that the cab actually was blue?

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