Bag A contains 3 red, 6 black, and 5 white balls, and bag B contains 4 red,

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Bag A contains 3 red, 6 black, and 5 white balls, and bag B contains 4 red, 5 black, and 7 white balls. A bag is selected at random and a ball is drawn. If the ball is white, what is the probability that bag B was selected?
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