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There are two bags A and B. A contains n white and 2 black balls. B...

There are two bags A and B. A contains n white and 2 black balls. B contains 2 white and n black balls. One of the two bags is selected at random and two balls are drawn from it without replacement. If both the balls drawn are white and the probability that the bag A was used to draw the balls is 6/7. Find the value of n.

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