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Consider two boxes, one containing 1 black and 1 white marble, the other 2 black and 1 white marbles. A box is selected at random,

Consider two boxes, one containing 1 black and 1 white marble, the other 2 black and 1 white marbles. A box is selected at random, and a marble is drawn from it at random.

What is the probability that the first box was the one selected given that the marble is white?

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