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. 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 ?

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 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 7 red balls, 8 green balls and 5 white balls. A ball is drawn at random from the box. Find the probability that the ball is white.

A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is red?

A bag contains 4 red and 4 black balls. Another bag contains 2 red and 6 black balls. One of the bags is selected at random and a ball is drawn from the bag which is found to be red. Find the probability that the ball is drawn from the first bag.

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.