Let there are n bags numbered 1 to n containing some white balls and remaining black balls. The `i^(th)` bag contains `i` balls. If probability of drawing a white ball from `i^(th)` bag is equal to `ki^(2)`. Let `k=(1)/(24)` and the bags are equally likely chosen. A ball is drawn from any one of the n bags if the probability the ball drawn is a white ball is `(11)/(24)` then the total number of balls in the bags