MathDB
Rolling Dice with Irregular Face Digits

Source:

January 14, 2009
probability

Problem Statement

One fair die has faces 1 1, 1 1, 2 2, 2 2, 3 3, 3 3 and another has faces 4 4, 4 4, 5 5, 5 5, 6 6, 6 6. The dice are rolled and the numbers on the top faces are added. What is the probability that the sum will be odd? <spanclass=′latex−bold′>(A)</span> 13<spanclass=′latex−bold′>(B)</span> 49<spanclass=′latex−bold′>(C)</span> 12<spanclass=′latex−bold′>(D)</span> 59<spanclass=′latex−bold′>(E)</span> 23 <span class='latex-bold'>(A)</span>\ \frac{1}{3}\qquad <span class='latex-bold'>(B)</span>\ \frac{4}{9}\qquad <span class='latex-bold'>(C)</span>\ \frac{1}{2}\qquad <span class='latex-bold'>(D)</span>\ \frac{5}{9}\qquad <span class='latex-bold'>(E)</span>\ \frac{2}{3}
Back to ProblemsView on AoPS