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Question: Two random points in the unit cube

Question:Two random points in the unit cube

Markiyan Hirnyk 7804 Maple
probability mean
June 19 2011
2

  We have two random points A(X1,Y1,Z1) and B(X2,Y2,Z2) in the unit cube, ie X1, X2, Y1, Y2, Z1, and Z2 are collectively independent random variables uniformly distributed on the interval [0,1].
  How to find  the mean of the distance between A and B with Maple? The same question in higher dimensions.
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