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1999 Gauss (7) #15

Source:

July 6, 2011
Gaussgeometry3D geometryprobability

Problem Statement

A box contains 36 pink, 18 blue, 9 green, 6 red, and 3 purple cubes that are identical in size. If a cube is selected at random, what is the probability that it is green?
<spanclass=′latex−bold′>(A)</span> 19<spanclass=′latex−bold′>(B)</span> 18<spanclass=′latex−bold′>(C)</span> 15<spanclass=′latex−bold′>(D)</span> 14<spanclass=′latex−bold′>(E)</span> 970<span class='latex-bold'>(A)</span>\ \dfrac{1}{9} \qquad <span class='latex-bold'>(B)</span>\ \dfrac{1}{8} \qquad <span class='latex-bold'>(C)</span>\ \dfrac{1}{5} \qquad <span class='latex-bold'>(D)</span>\ \dfrac{1}{4} \qquad <span class='latex-bold'>(E)</span>\ \dfrac{9}{70}
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