MathDB
2018 Individual #17

Source:

January 13, 2023
2018 Individual

Problem Statement

Two standard six sided dice labeled with the numbers 11-66 are rolled, and the numbers that come up are multiplied. What is the probability that their product is a multiple of five?
<spanclass=latexbold>(A)</span>14<spanclass=latexbold>(B)</span>518<spanclass=latexbold>(C)</span>1136<spanclass=latexbold>(D)</span>13<spanclass=latexbold>(E)</span>49<span class='latex-bold'>(A) </span> \dfrac14\qquad<span class='latex-bold'>(B) </span> \dfrac5{18}\qquad<span class='latex-bold'>(C) </span> \dfrac{11}{36}\qquad<span class='latex-bold'>(D) </span> \dfrac13\qquad<span class='latex-bold'>(E) </span> \dfrac49