MathDB
unfair die

Source: 2021 AMC 10A #9

November 11, 2021
AMCAMC 10AMC 10 A

Problem Statement

When a certain unfair die is rolled, an even number is 33 times as likely to appear as an odd number. The die is rolled twice. What is the probability that the sum of the numbers rolled is even?
<spanclass=latexbold>(A)</span>38<spanclass=latexbold>(B)</span>49<spanclass=latexbold>(C)</span>59<spanclass=latexbold>(D)</span>916<spanclass=latexbold>(E)</span>58<span class='latex-bold'>(A) </span>\dfrac38\qquad<span class='latex-bold'>(B) </span>\dfrac49\qquad<span class='latex-bold'>(C) </span>\dfrac59\qquad<span class='latex-bold'>(D) </span>\dfrac9{16}\qquad<span class='latex-bold'>(E) </span>\dfrac58