Fourteen numbered balls (i.e.1,2,3…..,14) are divided in 3 groups randomly. Find the probability that sum of the numbers on the balls, in each group , is odd.

A box contains 19 balls bearing number 1,2,3,……..19 respectively. A ball is drawn at random from the box. Find the probability that the number on the ball is (i) a prime number, (ii) an even number (iii) a number divisible by 3.

10 boys and 2 girls are divided into 3 groups of 4 each.The probability that the girls will be in different groups is

An urn contains 4 white and 3 red balls.Find the probability distribution of the number of red balls in a random draw of three balls.

A lot of 4 white and 4 red balls is randomly divided into two halves. What is the probability that there will be 2 red and 2 white balls in each half ?

An urn contains 25 balls numbered 1 to 25. Two balls drawn one at a time with replacement. The probability that both the numbers on the balls are odd is

A box contains 20 balls bearing numbers - 1, 2, 3, 4, ..., 20. A ball is drawn at random from the box. What is the probability that the number on the ball is divisible by 7?