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 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

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 bal is drawn. If the ball drawn is found to be red, find the probability that the ball was drawn from urn A.

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.

There are 6 red and 4 black balls in a bag. A ball is drawn at random. Find the probability that the ball drawn is red.

There are 3 red and 2 black, 2 red and 3 black, 4 red and 1 black balls in three bags respectively. The probability of selecting each bag is same. A ball is drawn at random from one bag. Find the probability that it is black.

Urn A contains 2 white, 1 black and 3 red balls, urn B contains 3 white, 2 black and 4 red balls and urn C contains 4 white, 3 black and 2 red balls. One urn is chosen at random and 2 balls are drawn at random from the urn. If the chosen balls happen to be red and black, what is the probability that both balls come from urn B?

There are 5 black and 6 red balls in a bag. If 3 balls are drawn at random, find the probability that these balls are black.

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.

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.

There are 5 red and 3 black balls in a bag. A red ball is drawn at random. Find its probability.