1995 AJHSME Problems/Problem 20

Revision as of 19:27, 19 August 2011 by Mrdavid445 (talk | contribs) (Created page with "==Problem== Diana and Apollo each roll a standard die obtaining a number at random from <math>1</math> to <math>6</math>. What is the probability that Diana's number is larger ...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

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?

$\text{(A)}\ \dfrac{1}{3} \qquad \text{(B)}\ \dfrac{5}{12} \qquad \text{(C)}\ \dfrac{4}{9} \qquad \text{(D)}\ \dfrac{17}{36} \qquad \text{(E)}\ \dfrac{1}{2}$