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If you have a straight stick and you break it in exactly two places what is the probability that the three pieces if put together can create a triangular frame?

This is exactly the question my professor gave on our statistics and probability final. I analyzed it as best as I could (I wrote a whole page filled with assumptions and limitations) but I would like to know if anyone can come up with a scientific valid answer.

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    You need an assumption on the probability distribution used to select the two places where you break the stick.2012-07-04
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    In the case that they're uniformly distributed, see http://mathoverflow.net/questions/2014/if-you-break-a-stick-at-two-points-chosen-uniformly-the-probability-the-three-re2012-07-04
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    Bring in the *whole page*.2012-07-04
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    @did i don't have it, it was an exam.. :)2012-07-04
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    Can you reconstruct it?2012-07-04
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    I assumed the stick was one meter long and said that x12012-07-04

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