There are two bags each containing 10 books all haing different titles but of the same size A student draws out any number of books from first bag as well as from the second bag. Find the probability that the difference between the number of books drawn from the two bags does not exceed two .

A bag contains 4 white and 5 black balls. A ball is drawn at random from the bag. Find the probability that the ball drawn is white.

There are two bage. One bag contains 4 white and 2 black balls. Second bag contains 5 white and 4 black balls. Two balls are transferred from first bag to second bag. Then one ball is taken from the second bag. Find the probability that it is a white ball.

A bag ccontains 4 white and 5 red balls. Second bag contains 6 whilte and 3 red balls. A ball is transferred from first bag to second and then a ball is drawn from the second bag. Find the probability that this ball drawn is red.

A ticket is drawn at random from a bag containing tickets numbered from 1 to 40 . Find the probability that the selected ticket has a number which is a multiple of 5.

A bag contains 5 red and 3 green balls and a second bag contains 3 red and 5 green balls. One ball is drawn from first bag and two from second bag.Find the probability that of the three balls drawn,two are red and one is green.

There are two bags, each containing m balls, A person has to select an equal numbers of balls from both the bags. Find the number of ways in which he can select at least one ball from each bag.

A bag contains 8 black and 5 white balls.Two balls are drawn from the bag.What is the probabilityboth the balls are white?

( for explanation of law of total probability ) there are two bags . The first bag contains 4 white and 5 black balls and the second bag contains 5 white and 4 black balls , two balls are drawn at random from the first bag and are put into the second bag without noticing their colours , then two balls are drawn from the second bag . find the probability that the balls are white and black.

There are two bags. The first bag contains 5 white and 3 black balls and the second bag contains 3 white and 5 black balls. Two balls are drawn at random from the first bag and are put into the second bag without noticing their colours. Then two balls are drawn from the second bag. Find the probability that the balls are white and black.