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Probability

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April 21, 2009
probability

Problem Statement

Six cards with numbers 1, 1, 3, 4, 4, 5 are given. We are drawing 3 cards from 6 given cards one by one and are forming a three-digit number with the numbers over the cards drawn according to the drawing order. Find the probability that this three-digit number is a multiple of 3. (The card drawn is not put back)
<spanclass=′latex−bold′>(A)</span> 15<spanclass=′latex−bold′>(B)</span> 25<spanclass=′latex−bold′>(C)</span> 37<spanclass=′latex−bold′>(D)</span> 12<spanclass=′latex−bold′>(E)</span> None<span class='latex-bold'>(A)</span>\ \frac {1}{5} \qquad<span class='latex-bold'>(B)</span>\ \frac {2}{5} \qquad<span class='latex-bold'>(C)</span>\ \frac {3}{7} \qquad<span class='latex-bold'>(D)</span>\ \frac {1}{2} \qquad<span class='latex-bold'>(E)</span>\ \text{None}
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