Dreamboat cars are produced at three different factories A. B, and C. Factory A produces 20 percent of the total output of Dreambo3ls; 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?