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 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 balls is drawn at random. What is the probability that the second ball is red ?

A bag contains 4 red, 6 white and 5 black balls. 2 balls are drawn at random. The probability of getting one red and one white ball is

A bag contaings 3 white 4 black 2 red balls if 2 balls are drawn at random then the probability that both the balls are white is

A bag contains 3 white , 4 black , 2 red balls . If 2 balls are drawn at random , then the probability that both the balls are white is :

A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is red ?

A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is not red ?

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

An urn contains 9 balls , 2 of which are white, 3 blue and 4 black. 3 balls are drawn at random from the urn. The chance that 2 balls will be of the same colour and the third of a different colour is:

A bag contains 3 red balls and 5 black balls . A ball is drawn at random from the bas. What is the probability that the ball drawn is (i) red ? (ii) not red ?