MathDB
When is the product 0?

Source: 2016 AMC 8 #13

November 23, 2016
2016 AMC 8AMC 8probabilitySelectionSKRRT SKRRTlove ya guys

Problem Statement

Two different numbers are randomly selected from the set 2,1,0,3,4,5{ - 2, -1, 0, 3, 4, 5} and multiplied together. What is the probability that the product is 00?
<spanclass=latexbold>(A)</span>16<spanclass=latexbold>(B)</span>15<spanclass=latexbold>(C)</span>14<spanclass=latexbold>(D)</span>13<spanclass=latexbold>(E)</span>12<span class='latex-bold'>(A) </span>\dfrac{1}{6}\qquad<span class='latex-bold'>(B) </span>\dfrac{1}{5}\qquad<span class='latex-bold'>(C) </span>\dfrac{1}{4}\qquad<span class='latex-bold'>(D) </span>\dfrac{1}{3}\qquad <span class='latex-bold'>(E) </span>\dfrac{1}{2}