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The problem below is similar to the broken stick problem (the one where a stick 1 unit long is broken and you have to see what the probability is of the pieces creating a triangle). But I don't think it is performed the same way (because the stick problem assumes you are using the entire width of the interval).
Suppose 3 values on the interval 0 to 1 are selected (independently/uniformly). Find the probability that these values are measures of the sides of a triangle (I believe that in order for this to happen any combination of two lengths would have to add up to be greater than the third length).
I'm pretty sure this is a triple integral but I'm unclear about what the limits on the integrals should be. Any help would be great.
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