You certainly can make a triangle from 3 unit toothpicks called a, b and c (each being a side opposite angles A, B, and C respectively.
But what if you were to:
Cut a piece from b and burn it.
Cut a piece from c and burn it.
Leave a alone.
What are the probabilities that you will be able to form the following (using the entire remaining lengths as sides):
A Right Triangle
An Acute Triangle
An Obtuse Triangle.
- via Sid Hollander