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 bag contains 2 red and 3 white balls and another bag contains 1 red and 2 white balls. If a bag is chosen at random and a ball is drawn from it, 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.

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 -

Boxes I and II contain respectively 4 white, 3 red and 3 blue balls, and 5 white, 4 red and 3 blue balls. If one ball is drawn from each box, what is the probability that both the balls are of the same colour ?

A bag A contains 2 white and 3 red balls, another bag B contains 4 white and 5 red balls. A bag is chosen at random and a ball is drawn from it. If the ball drawn is red, what is the probability that the bag B is chosen ?

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?

A bag contains 3 red balls, 5 black balls and 4 white balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is white?

Three urns A, B and C contain 6 red and 4 white, 2 red and 6 white and 1 red and 5 white balls respectively. An urn is chosen at random and a ball is drawn. If the ball drawn is found to be red, find the probability that the ball was drawn from the urn A.

A bag contains 3 red balls and 5 black balls. A ball is selected at random from the bag. What is the probability that the ball selected is (i) red ? (ii) not 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.