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?

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

The contents of urn, I, II, III are as follows Urn I: 1 White, 2 black and 3 red balls Urn II: 2 white, 1 black and 1 red balls. Urn III: 4 white, 5 black and 3 red balls One run is chosen at random and two balls are drawn. They happen to be white and red what is the probability that they come from Urns, I, II, III?

A bag A contains 2 white and 3 red balls another bag B contains 4 white and 5 red balls. A bag is chosen at random and a ball is drawn from it. If the ball drawn is red, what is the probability that the bag B is chosen? [CBSE '04C)

An urn contains 4 balls. Two balls are drawn at random from the urn (without replacement) and are found to be white. What is the probability that all the four balls in the urn are white ?

An urn contains 4 balls. Two balls are drawn at random from the urn (without replacement) and are found to be white. What is the probability that all the four balls in the urn are white ?

Two balls drawn from an urn containing 2 white, 3 red and 4 black balls. What is the probability that the ball is red?

An urn contains 4 white and 6 red balls. Four balls are drawn at random from the urn. Find the probability distribution of the number of white balls.

A bag contains 3 white balls and 2 black balls, another contains 5 white and 3 black balls, if a bag is chosen at random and a ball is drawn from it. What is the probability that it is white ?

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.

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.