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

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

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

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.

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.

Two dice are thrown simultaneously. Find the probability of getting an odd number as the sum.

7 white balls and 3 black balls are kept randomly in order. Find the probability that no two adjacent balls are black.

A bag contains 4 red and 6 black balls. Three balls are drawn at random. Find the probability distribution o the number of red balls.

2n boys are randomly divided into two subgroups containing n boys each. The probability that the two tallest boys are in different groups is

The sequence of odd natural numbers is divided into groups 1,3,5,7,9,11,"…." and so on. Show that the sum of the numbers in nth group is n^(3) .

A bag contain n white and n black balls, all of equal size. Balls are drawn at random. Find the probability that there are both white and black balls in the draw and that the number of white balls is greater than that of black balls by 1.