If from each of the three boxes containing `3` white and `1` black, `2` white and `2` black, `1` white and `3` black balls, one ball is drawn at random, then the probability that `2` white and `1` black balls will be drawn, is

Explanation

Probability of drawing two white and one black ball `= P(W1)P(W2)P(B3) + P(W1)P(B2)P(W3) + P(B1)P(W2)P(W3)`



`=[(3)/(4)* (2)/(4)* (3)/(4)] + [(3)/(4)* (2)/(4)* (1)/(4)] + [(1)/(4)* (2)/(4)* (1)/(4)]`


`=(18)/(64)+(6)/(64)+(2)/(64)`


`= (18+6+2)/(64)`


`=(26)/(64)`


`=(13)/(32)`


`(Answer)`