(for explantion of Baye's rule ) three boxes contain 6 red , 4 black , 5 red , 5 black and 4 red , 6 black balls repectively one of the box is selected at random and a ball is drawn from it . If the ball drawn is red , find probability that it is drawn from the first bag .

Three urns contain 6 red, 4 black 4 red, 6 black and 5 red, 5 black balls respectively. One of the urns is selected at random and a ball is drawn from it. If the ball drawn is red, find the probability that it is drawn from the first urn.

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 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 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.

If a ball is drawn from 6 red, 5 blue, 3 white and 4 black balls, then probability that it is red or black is

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) (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.