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Box A has 2 green and 5 blue marbles in it. Box B has 9 green and 6 blue marbles in it. A marble is

Box A has 2 green and 5 blue marbles in it. Box B has 9 green and 6 blue marbles in it. A marble is drawn from Box A, transferred to Box B, and then a marble is drawn from Box B. What is the probability a blue marble was drawn from Box A, if you know a green marble was drawn from Box B?

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