An urn contains m white and n black balls. A ball is drawn at random and is put back into the urn along with k additional balls of the same colour as that of the ball drawn. A ball is again drawn at random. Show that the probability of drawing a white ball now does not depend on k.

An urn contains 5 red and 5 black balls. A ball is drawn at random, its colour is noted and is returned to the urn. Moreover, 2 additional balls of the colour drawn are put in the urn and then a ball is drawn at random. What is the probability that the second ball is red?

An urn contains 2 white and 2 black balls .A ball is drawn at random.If it is white ,it is not replace into urn ,otherwise it is replaced along with another ball of the same colour .the process is repeated , then find the probabiltiy that the third ball drawn is black.

Urn A contains 6 red and 4 black balls and urn B contains 4 red and 6 black balls. One ball is drawn at random from urn A and placed in urn B. Then, one ball is drawn at random from urn B and placed in urn A. If one ball is drawn at random from urn A, the probability that it is found to be red, is....

A bag contains 8 red and 5 white balls. Three balls are drawn at random. Find the Probability that One ball is red and two balls are white

A bag contains 4 white and 5 black balls. Another bag contains 9 white and 7 black balls. A ball is transferred from the first bag to the second and then a ball is drawn at random from the second bag. Find the probability that the ball drawn is white.

An urn contains 7 white, 5 black and 3 read balls. Two balls are drawn at random. Find the probability that. (i) Both the balls are red. (ii) One balls is red and other is black. One ball is white.

A bag contains 8 red and 5 white balls. Three balls are drawn at random. Find the Probability that All the three balls are white

A bag contains 8 red and 5 white balls. Three balls are drawn at random. Find the Probability that All the three balls are red

A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random without replacement the probability of getting exactly one red ball is ……..

An urn contains 5 red and 2 black balls. Two balls are randomly drawn. Let X represent the number of black balls. What are the possible values of X? Is X a random variable ?