Bag - A contains 3 green and 5 red balls, and Bag - B contains 2 green and 7 red balls. A ball is selected at random from Bag - A and transferred to Bag - B. Then a ball is drawn at random from Bag - B. Find the probability that it is a green ball.

Given two bags A and B as follows : Bag A contains 3 red and 2 white balls and bag B contains 2 red and 5 white balls. A bag is selected at random, a ball is drawn and put into the other bag, then a ball is drawn from the second bag. The probability that both balls drawn are of the same colour is

Given two bags A and B as follows : Bag A contains 3 red and 2 white balls and bag B contains 2 red and 5 white balls. A bag is selected at random, a ball is drawn and put into the other bag, then a ball is drawn from the second bag. The probability that both balls drawn are of the same colour is

One bag a contains 4 red and 5 black balls. The other bag B contains 6 red and 3 black balls. A ball is taken rom bag A and transferred to bag B. Now a ball is from bag B. Find the probability that the ball drawn is red.

Bag A contains 5 red and 7 blue balls, while the other bag B contains 7 red and 5 blue balls. A ball is transferred (without noticing its colour) from the bag A to the bag B. Then a ball is drawn from the bag B. Find the probability that the ball drawn is blue.

Bag A contains 4green and 3red balls and bag B contains 4red and 3green balls. One bag is taken at random and a ball is drawn and noted to be green. The probability that it comes from bag B, is

(a) (i) Bag I contains 5 red and 3 black balls, Bag II contains 6 red and 5 black balls. One bag is chosen at random and a ball is drawn which is found to be black. Find the probability that it was drawn from Bag I, (II). (ii) Bag I contains 3 red and 5 white balls and bag II contains 4 red and 6 white balls. One of the bags is selected at random and a ball is drawn from it. The ball is found to be red. Find the probability that ball is drawn from Bag II. (b) Bag I contains 4 black and 6 red balls, bag II contains 7 black and 3 red balls and bag III contains 5 black and 5 red balls. One bag is chosen at random and a ball is drawn from it which is found to be red. Find the probability that it was drawn from bag II.