A box $$B_1$$ contains 1 white ball, 3 red balls and 2 black balls. Another box $$B_2$$, contains 2 white balls, 3 red balls and 4 black balls. A third box $$B_3$$ contains 3 white balls, 4 red balls and 5 black balls.
If 2 balls are drawn (without replacement) from a randomly selected box and one of the balls is white and the otherball is red, the probability that these 2 balls are drawn
from box $$B_2$$ is
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