MathDB
The Dice of MAA

Source: 2019 AMC 8 #18

November 19, 2019
AMC

Problem Statement

The faces on each of two fair dice are numbered 1, 2, 3, 5, 7, and 8. When the two dice are tossed, what is the probability that their sum will be an even number?
<spanclass=latexbold>(A)</span>49<spanclass=latexbold>(B)</span>12<spanclass=latexbold>(C)</span>59<spanclass=latexbold>(D)</span>35<spanclass=latexbold>(E)</span>23<span class='latex-bold'>(A) </span>\frac{4}{9}\qquad<span class='latex-bold'>(B) </span>\frac{1}{2}\qquad<span class='latex-bold'>(C) </span>\frac{5}{9}\qquad<span class='latex-bold'>(D) </span>\frac{3}{5}\qquad<span class='latex-bold'>(E) </span>\frac{2}{3}