2001 AMC 8 Problem 18

Two dice are thrown. What is the probability that the product of the two numbers is a multiple of 5?

\text{(A)}\ \dfrac{1}{36} \qquad \text{(B)}\ \dfrac{1}{18} \qquad \text{(C)}\ \dfrac{1}{6} \qquad \text{(D)}\ \dfrac{11}{36} \qquad \text{(E)}\ \dfrac{1}{3}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.