Imagine that the test tube pictured contains 2n grains of sand, n white and n black. Suppose

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Imagine that the test tube pictured contains 2n grains of sand, n white and n black. Suppose the tube is vigorously shaken. What is the probability that the two colors of sand will completely separate; that is, all of one color fall to the bottom, and all of the other color lie on top?
Imagine that the test tube pictured contains 2n grains of
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