Three points are placed at independently and at random in a unit square. What is the expected value of the area of the triangle formed by the three points?
expected area of a triangle determined by randomly placed points
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probability
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2See **[here](http://math.stackexchange.com/questions/676/probability-that-a-stick-randomly-broken-in-two-places-can-form-a-triangle)** and **[here](http://mathoverflow.net/questions/2014/if-you-break-a-stick-at-two-points-chosen-uniformly-the-probability-the-three-re)** for related questions and answers. – 2011-03-20