Three boxes of the same appearance have the following proportions of black and white balls : Box I-5 black and 3 white, Box II-6 black and 2 white: BoxIII-3 black and 5 white, one of the boxes is selected at random and one ball is drawn randomly from it. Given that the ball is black, find the probability that it came from Box III.

Three boxes of the same appearance have the following proportions of black and white balls : Box-I -5 black and 3 white, Box-II-6 black and 2 white. Box-III-3 black and 5 white. One of the box is selected at random and one ball is drawn randomly from it. Given that the ball is black, find the probability that it came from Box-III.

Three boxes of the same appearance have the following proportions of black and white balls : Box I-5 black and 3 white, Box II-6 black and 2 white: BoxIII-3 black and 5 white, one of the boxes is selected at random and one ball is drawn randomly from it. What is the probability that the ball is black?

Three boxes of the same appearance have the following proportions of white and black balls- box I: 1 white and 2 black, box II : 2 white and 1 black, box III : 2 white and 2 black. One of the boxes is selected at random and one ball is drawn randomly from it. It turns out to be white. What is the probability that the third box is chosen ?

Three bags contain respectively 3 white, 2 red balls, 7 white, 3 red balls and 5 white, 3 red balls. If a bag is selected at random and one ball is drawn from it, what is the probability that it will be a white ball ?

If three boxes containing 3 white and 1 black, 2 white and 2 black, 1 white and 3 black balls respectively, one ball is drawn at random, find the probability that the ball is black.

A bag X contains 2 white and 3 black balls and another bag Y contains 4 white and 2 black balls. One bag is selected at random and a ball is drawn from it. Then the probability for the ball chosen be white is -

A box contains 6 white balls and 4 black balls, A ball is drawn at random from the box. What is the probability that the ball is white.

A bag A contains 1 white and 6 red balls. Another bag B contains 4 white and 3 red balls. One of bags is selected at random and a ball is drawn from it, which is found to be white. Find the probability that the ball drawn is from the bag A.

Three indentical boxes contain red and white balls. The first box contains 3 red and 2 white, the second box 4 red and 5 white and the third box 2 red and 4 white balls. A box is chosen at random and a ball is drawn from it. If the drawn ball is red, what is the probability that the second box is chosen ?

Bag I contains 3 red and 4 black balls while another Bag II contains 5 red and 6 black balls. One ball is drawn at random from one of the bags and it is found to be red. Find the probability that it was drawn from Bag II.