Each of the n urns contains 4 white and 6 black balls. The (n + 1)th urn contains 5 white and 5 black balls. One of the n + 1 urns is chosen at random and two balls turn out to be black. If the probability that the (n + 1)th urn was chosen to draw the balls is 1/16, then find the value of n.

A bag X contains 2 white and 3 black balls and another bag Y contains 4 white and 2 black balls. One bag is selected at random and a ball is drawn from it. Then the probability for the ball chosen be white is -

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 ?

A bag contains 4 red and 4 black balls. Another bag contains 2 red and 6 black balls. One of the 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 A contains 1 white and 6 red balls. Another bag B contains 4 white and 3 red balls. One of bags is selected at random and a ball is drawn from it, which is found to be white. Find the probability that the ball drawn is from the bag A.

A bag contains 2 red and 3 white balls and another bag contains 1 red and 2 white balls. If a bag is chosen at random and a ball is drawn from it, what is the probability that the ball is white ?

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.

A box contains 7 white and 5 black balls. If 3 balls are drawn simultaneously at random with out replacement, what is the probability that they are not all of the same colour ?

A bag contains 5 white, 7 red and 3 black balls. If three balls are drawn one by one without replacement, find the probability that none is red.

A bag contains 5 white, 7 red and 3 black balls. If three balls are drawn one by one without replacement, find the probability that none is red.

Three identical urns contain white and black balls. The first urn contains 2 white and 3 black balls, the second urn 3 white and 2 black balls and the third urn 1 black and 4 white balls. An urn is chosen at random and a ball is drawn from it. If the ball drawn is white, what is the probability that the first urn is chosen ?