Question

Two numbers are selected at random (without replacement) from the first six positive integers. Let x denote the larger of the two numbers obtained. Find the probability distribution of random variable x and hence find the mean of the distribution.

Answer 1

Alternative Method :

Total number of ways of selecting two numbers = ⁶C₂ = 15

Values of r (larger of the two) can be 2,3, 4, 5, 6