There are two bags each containing 10 books all having different titles but of the same size. A student draws out books from the first bag as well as from the second bag. Find the probability that the difference between the books drawn from the two bags does not exceed 2.

Two cards are drawn from a well shuffled pack of cards find the probability that they are of different colour when they are selected together.

Each of the two identical bags contain 5 white and 5 red balls. One ball is transferred at random without notice from the second bag to the first bag. Then one ball is drawn from the first bag. Find the probability that the ball drawn is a red ball.

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 contains 8 white and 7 black balls and another bag contains 5 white and 4 black balls. A ball is drawn at random from the first bag and put it into second bag. Now if a ball is drawn at random from the second bag. Find the probability that the ball drawn is white.

A bag contains 3 red, 7 white, and 4 black balls. If three balls are drawn from the bag, then find the probability that all of them are of the same color.

There are three bags each containing 5 red and 5 black balls. One ball is transferred blindly from the first to the second bag and then one ball is transferred blindly from the second to the third. A ball is now drawn from the third bag. Find the probability that the drawn ball is red.

A box contains 10 tickets numbered from 1 to 10 . Two tickets are drawn one by one without replacement. The probability that the "difference between the first drawn ticket number and the second is not less than 4" is

A card is drawn from each of two well shuffled pack of cards. Find the probability that at least one of them is a Jack?

There are two bags, bag I and bagII. Bag I contains 4 white 3 red balls while bag II contains 3 white and 7 red balls. One ball is drawn at random from one of the bags and it is found to be white. Find the probability that it was drawn from bag I.

There are two bags I and II. Bag I contains 3 white and 4 black and bag II contains 5 white and 6 black balls. One ball is drawn at random from one of the bags and is found to be white. Find the probability that is was drawn from bag I.