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There are two boxes, box 1 contains one black and one white marble, and box 2 contains two black and one white marble. A box

There are two boxes, box 1 contains one black and one white marble, and box 2 contains two black and one white marble. A box is selected at random, and a marble selected from the box at random.

(a) What is the probability that the marble is black?

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

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