AMC 8 1992 Problem 23

If two dice are tossed, the probability that the product of the numbers showing on the tops of the dice is greater than 10 is $\text{(A)}\ \frac{3}{7} \text{(B)}\ \frac{17}{36} \text{(C)}\ \frac{1}{2} \text{(D)}\ \frac{5}{8} \text{(E)}\ \frac{11}{12}$