Two fair dice are thrown. What is the probability that the product of the numbers is even?

Explanation

1. 01

   List the 36 equally likely ordered pairs $(a, b)$.

2. 02

   The product is odd only when both are odd, $3 \times 3 = 9$ pairs, so it is even in $36 - 9 = 27$: $\frac{27}{36} = \frac{3}{4}$.