Consider two boxes, one containing one black and one white marble, the other, two black and one

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

(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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