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PLEASE EXPLAIN THIS QUESTION WELL , DIAGRAM IS OPTIONAL Columbo the detective fancies himself a shrewd judge of human nature. In careful tests it has

PLEASE EXPLAIN THIS QUESTION WELL , DIAGRAM IS OPTIONAL

Columbo the detective fancies himself a shrewd judge of human nature. In careful tests it has been discovered that he is right 80% of the time when he says that a randomly chosen suspect is lying or not. Columbo says that Jones is lying. The polygraph expert, who is right 100% of the time, says that 40% of the subjects interviewed by Columbo are telling the truth. What is the probability that Jones is lying?

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