# Tagged: random variable

## Problem 754

We have a stick of a unit length. Two points on the stick will be selected randomly (uniformly along the length of the stick) and independently. Then we break the stick at these two points so that we get three pieces of the stick. What is the probability that these three pieces form a triangle?

## Problem 743

Let $X, Y$ be discrete random variables. Prove the linearity of expectations described as
$E(X+Y) = E(X) + E(Y).$