GAUSS7 2023 Problem 19

Two standard dice are rolled. The product of the two numbers rolled is calculated. What is the probability that the ones digit of this product is 0?

Answer Choices
A. \frac{11}{36}
B. \frac{2}{9}
C. \frac{1}{36}
D. \frac{1}{6}
E. \frac{5}{36}