Three boxes B1, B2, B3 have the same appearance, Box B1 contains 1 white and 2 black balls, box B2 contains 2 white and 1 black balls and box B3 contains 2 white and 2 black balls, One or these boxes is selected at random and then one ball is drawn from it. It turns out to be white. What is the probability that box B2 was chosen?
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