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Question: There are two bags, each containing 100 ping-pong balls. Bag A contains 100 red balls and no black balls, and bag B contains 20 red and 80 black. You are blindfolded and reach into a bag. There is a .5 probability it is bag A and a .5 probability it is bag B. You draw a red ball. What is the probability that you drew the ball from bag A?

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