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Box A contains 1 red and 3 white balls, Box B contains 2 red and 2...

Box A contains 1 red and 3 white balls, Box B contains 2 red and 2 white balls, and Box C contains 3 red and 1 white ball. Box A is selected with probability 3/6, Box B with probability 2/6 and Box C with probability 1/6. A box will be selected and then a ball drawn. What is the probability that if a red ball is drawn, that it came from Box B?

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