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 he 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 ?

A bag contains 3 white, 5 black and 2 red balls all of the same shape and size. A ball is drawn at random, find the probability that the ball drawn is : (i) a black ball (ii) not a red ball.

The contents of three urns are as follows: Urn 1-7 white, 3 black balls.Urn 2 - 4 white, 6 black balls Urn 3 - 2 white and 8 black balls.One of these urns is chosen at random with probabilities 0.20, 0.60 and 0.20 respectively. From the chosen urn two balls are drawn at random without replacement. If both these balls are white, what is the probability that these came from urn 3 ?