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One bag contains 11 red balls and 3 green balls. A second bag contains 7 red balls and 9 green balls. Bob reaches in and

One bag contains 11 red balls and 3 green balls. A second bag contains 7 red balls and 9 green

balls. Bob reaches in and selects one ball from the first bag and places it in the second bag. Then

Alice selects one ball from the second bag. If Alice's ball is green, what is the probability Bob

had selected a green ball?

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