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Bag 1 contains 1 white 2 black and 3 red balls, bag 2 contains 2 white 1 bl

Bag 1 contains 1 white 2 black and 3 red balls, bag 2 contains 2 white 1 black and 1 red balls and bag 3 contains 4 white 3 black and 2 red balls. A bag is chosen at random and 2 balls are drawn from it with replacement. They happen to be one white and one red. What is the probability that they came from bag 3?

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