MathDB
Even Products

Source: Problem #12 2016 AMC 10B

February 21, 2016
AMC10AMCAMC 10AMC 10 B

Problem Statement

Two different numbers are selected at random from (1,2,3,4,5)( 1, 2, 3, 4, 5) and multiplied together. What is the probability that the product is even?
<spanclass=latexbold>(A)</span> 0.2<spanclass=latexbold>(B)</span> 0.4<spanclass=latexbold>(C)</span> 0.5<spanclass=latexbold>(D)</span> 0.7<spanclass=latexbold>(E)</span> 0.8<span class='latex-bold'>(A)</span>\ 0.2\qquad<span class='latex-bold'>(B)</span>\ 0.4\qquad<span class='latex-bold'>(C)</span>\ 0.5\qquad<span class='latex-bold'>(D)</span>\ 0.7\qquad<span class='latex-bold'>(E)</span>\ 0.8