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 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 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 contain 4 red and 4 black ball.another bag contain 2 red and 6 black ball.One of the two bags is selected at random and a ball is drawn from the bag which is found to be red. Find thye probability that the ball is drawn from the first bag.

A bag contains 4 red and 3 black balls.A second bag contains 2 red and 4 black balls. One bag is selected at random.From the selected bag; one ball is drawn.Find the probability that the ball drawn is red.

A bag contains 4 red and 3 black balls. A second bag contains 2 red and 4 black balls. One bag is selected at random. Form the selected bag, one all is drawn. Find the probability that the ball drawn is red.

Bag A contains 3 red and 5 black balls,while bag B contains 4 red and 4 black balls.Two balls are transferred at random from bag A to bag B and then a ball is drawn from bag B at random.If the ball drawn from bag B is found to be red,find the probability that two red balls were transferred from A to B.

Bag A contains 3 red and 5 black balls,while bag B contains 4 red and 4 black balls.Two balls are transferred at random bag A to bag B and then a ball is drawn from B at random.If the ball drawn from bag B is found to be red, find the the probability that 2red were transferred from A to B

(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.