A has 3 shares in a lottery containing 3 prizes and 9 blanks, B has 2 shares in a lottery containing 2 prizes and 6 blanks. Compare their chances of success

A bag X contains 3 white and 2 black balls; another bag Y contains 2 white and 4 black balls. A bag and a ball out of it is picked at random. What is the probability that the ball is white?

A box B_1 contains 1 white ball, 3 red balls and 2 black balls. Another box B_2 contains 2 white balls, 3 red balls and 4 black balls. A third box B_3 contains 3 white balls, 4 red balls and 5 black balls. If 1 ball is drawn from each of the boxes B_1 , B_2 and B_3 , then the probability that all 3 drawn balls are of the same colour , is

A box B_(1) contains 1 white ball, 3 red balls, and 2 black balls. An- other box B_(2) contains 2 white balls, 3 red balls and 4 black balls. A third box B_(3) contains 3 white balls, 4 red balls, and 5 black balls. If 2 balls are drawn (without replecement) from a randomly selected box and one of the balls is white and the other ball is red the probability that these 2 balls are drawn from box B_(2) is

An insulated container of gas has two chambers separated by an insulating partition. One of the chambers has volume V_1 and contains ideal gas at pressure P_1 and temperature T_1 .The other chamber has volume V_2 and contains ideal gas at pressure P_2 and temperature T_2 . If the partition is removed without doing any work on the gas, the final equilibrium temperature of the gas in the container will be

A bag A contains 2 white and 3 red balls and a bag B contains 4 white and 5red balls. One ball is drawn at random from one of the bags and is found to be red. Find the probability that it was drawn as red.

A person buys a lottery ticket in 50 lotteries, in each of which his chance of winning a prize is (1)/(100) . What is the probability that he will win a prize (a) at least once (b) exactly once (c) at least twice?

A purse contains 4 copper and 3 silver coins while another purse contains 6 copper and 2 silver coins. A purse is drawn at random and coin is drawn. Then ....... is the probability that selected coin is of copper.

There are two urns. Urn A has 3 distinct red balls and urn B has 9 distinct blue balls. From each urn two balls are taken out at random and then transferred to the other. The number of ways in which this can be done is (1) 36 (2) 66 (3) 108 (4) 3

A bag contains 5 black and 6 red balls. Determine the number of ways in which 2 black and 3 red balls can be selected.