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Arthur has a box which contains 6 black balls and n (n 2 2) white balls, then at random, he takes 3 balls from

Arthur has a box which contains 6 black balls and n (n 2 2) white balls, then at random, he takes 3 balls from the box. If the probability of taking any ball is the same and Pa is the probability of taking 1 black ball and 2 white balls, what is the largest possible value for P,?

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