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 colour is

Question

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 colour is

(A) 82/648 

(B) 90/648 

(C) 558/648 

(D) 566/648

Answer 1

(A) 82/648 

P (required) = P (all are white) + P (all are red) + P (all are black)