MathDB
Box Probability

Source: 2015 AMC 8 #7

November 25, 2015
AMC 8probability2015 AMC 8

Problem Statement

Each of two boxes contains three chips numbered 11, 22, 33. A chip is drawn randomly from each box and the numbers on the two chips are multiplied. What is the probability that their product is even?
<spanclass=′latex−bold′>(A)</span>19<spanclass=′latex−bold′>(B)</span>29<spanclass=′latex−bold′>(C)</span>49<spanclass=′latex−bold′>(D)</span>12<spanclass=′latex−bold′>(E)</span>59<span class='latex-bold'>(A) </span>\frac{1}{9}\qquad<span class='latex-bold'>(B) </span>\frac{2}{9}\qquad<span class='latex-bold'>(C) </span>\frac{4}{9}\qquad<span class='latex-bold'>(D) </span>\frac{1}{2}\qquad <span class='latex-bold'>(E) </span>\frac{5}{9}
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