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Probability of Same vs. Different Color

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April 2, 2013
probability

Problem Statement

There are 10011001 red marbles and 10011001 black marbles in a box. Let PsP_s be the probability that two marbles drawn at random from the box are the same color, and let PdP_d be the probability that they are different colors. Find ∣Ps−Pd∣|P_s-P_d|.
<spanclass=′latex−bold′>(A)</span>0<spanclass=′latex−bold′>(B)</span>12002<spanclass=′latex−bold′>(C)</span>12001<spanclass=′latex−bold′>(D)</span>22001<spanclass=′latex−bold′>(E)</span>11000<span class='latex-bold'>(A) </span>0\qquad<span class='latex-bold'>(B) </span>\dfrac1{2002}\qquad<span class='latex-bold'>(C) </span>\dfrac1{2001}\qquad<span class='latex-bold'>(D) </span>\dfrac2{2001}\qquad<span class='latex-bold'>(E) </span>\dfrac1{1000}
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