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Dreamboat cars are produced at three different factories A, B, and C. Factory A produces 20 percent of the total output

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Dreamboat cars are produced at three different factories A, B, and C. Factory A produces 20 percent of the total output of Dreamboats, B produces 50 percent, and C produces 30 percent. However, 5 percent of the cars produced at A are lemons, 2 percent of those produced at B are lemons, and 10 percent of those produced at C are lemons. If you buy a Dreamboat and it turns out to be a lemon, what is the probability that it was produced at factory A?

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