This is just for fun, I found it on the internet but there was no 'definitive' solution.

"Three points $\displaystyle x_1, x_2$ and $\displaystyle x_3$ lie on an interval [0;1]. What is the probability that $\displaystyle x_1>x_2+x_3$"

The suggestions there was to find probability distribution of $\displaystyle (x_1-(x_2+x_3))$ and $\displaystyle P((x_1-(x_2+x_3))>0)$. In addtion, I want to apply uniform continuous distribution for each $\displaystyle x_1,...x_3$ - would it be a reasonable assumption (since I am not given the distribution of these points, just the interval)?