AMC 8 1991 Problem 22

Each spinner is divided into $3$ equal parts. The results obtained from spinning the two spinners are multiplied. What is the probability that this product is an even number?

$\text{(A)}\ \frac{1}{3} \text{(B)}\ \frac{1}{2} \text{(C)}\ \frac{2}{3} \text{(D)}\ \frac{7}{9} \text{(E)}\ 1$