There is a line the length of which $L$. We throw $2$ random points on it, hence $3$ segments are formed. I've denoted the length of the first segment $x$, the other one $y$, hence the 3rd one $L-x-y$.
I've found that the probability that these $3$ segments would form a triangle is $\frac 14$. Now I need to find what is the probability that the length of the smallest side will be not bigger(<=) than $\frac L3$ if these $3$ segments form a triangle.
The answer is $1$ but I can't figure out why.