AMC8 1995 Problem 20

Diana and Apollo each roll a standard die obtaining a number at random from 1 to 6. What is the probability that Diana’s number is larger than Apollo’s number?

Answer Choices
A. \dfrac{1}{3}
B. \dfrac{5}{12}
C. \dfrac{4}{9}
D. \dfrac{17}{36}
E. \dfrac{1}{2}