Consider a string of length $1 \mathrm{~m}$. Two points are chosen independently and uniformly random on it thereby dividing the string into three parts. What is the probability that the three parts can form the sides of a triangle?
- $1 / 4$
- $1 / 3$
- $1 / 2$
- $2 / 3$
- $3 / 4$