Probability and Stats

Question

Two different whole numbers are randomly selected from the set {1,2,3,...,9}. What is the probability that their product is an even number?

Answer 1

This event E occurs when just one even # is selected, or when two evens are selected.

A better way: the product is odd only if NO even # is selected.

P(no even number selected) = (5/9)(4(8) = 5/18 so P(at least one even is selected) = 1 - 5/18 = 13/18.