A bag X contains 4 white balls and 2 black balls, while another bag Y contains 3 white balls and 3 black balls. Two balls are drawn (without replacement) at random from one of the bags and were found to be one white and one black. Find the probability that the balls were drawn from bag Y.

A bag contains 4 red and 4 black balls,another bag contains 2 red and 6 black balls.One of the two bags is selected at random and two balls are drawn at random without replacement from the bag and are found to be both red.Find the probability that the balls are drawn from the first bag.

A bag contains 3 black and 4 white balls. Second bag contains 5 black and 6 white balls. A ball is drawn at random from one of the bags and it is found to be black. What is the probability that this ball is drawn from second bag?

A bag contains 4 white and 2 black balls and another bag contains 3 white and 5 black balls.If one ball is drawn from each bag,then the probability that one ball is white and one ball is

There are two bags I and II. Bag I contains 4 white and 3 red balls while another Bagt II contains 3 white and 7 red balls. One ball is drawn at random from one of the bags and it is found to be white. Find the probability that it was drawn from bag I.

A bag X contains 3 white and 2 black balls; another bag Y contains 2 white and 4 black balls.A bag and a ball out of it is picked at random.What is the probability that the ball is white?

A bag contains 4 white and 5 black balls and another bag contains 3 white and 4 black balls. A ball is taken out from the first bag and without seeing its colour is put in the second bag.A ball is taken out from the latter. Find the probability that the ball drawn is white.

A bag A contains 2 white and 3 red balls and a bag B contains 4 white and 5red balls. One ball is drawn at random from one of the bags and is found to be red. Find the probability that it was drawn as red.

(i) 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. (ii) There are two bags I and II. Bag I contains 4 white and 3 red balls and bag II contains 6 white and 5 red balls. One ball is drawn at random from one of the bags and is found to be red. Find the probability that it was drawn from bag II.

A bag contains 10 white and 15 black balls. Two balls are drawn succession without replacement.What is the probability that the first ball is white and the second is black?