A box B1 contains 1 white ball, 3 red balls and 2 black balls. Another box B2 contains 2 white balls, 3 red balls and 4 black balls. A third box B3 contains 3 white balls, 4 red balls and 5 black balls.
If 1 ball is drawn from each of the boxes B1, B2 and B3, the probability that all 3 drawn balls are of the same color is,
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P(all W)=(1/6)x(2/9)x(3/12)=6/648
P(all R)=(3/6)x(3/9)x(4/12)=36/648
P(all B)=(2/6)x(4/9)x(5/12)=40/648
P(same color)=(6+36+40)/648
=82/648