Choose two numbers at random from the interval [0,1] (using a uniform distribution).

This will give three subintervals of lengths *a*, *b*, and
*c*.

- What is the probablility that there is a triangle whose sides have
lengths
*a*,*b*, and*c*? - Given that a such a triangle exists, what is the probability that it is obtuse?

Source: Zak Levi