Discrete Mathematics
# Geometric Probability

$r$ is chosen at random from the interval $[ -1 , 1 ]$.

A real numberWhat is the probability that $r ^ 2< \frac{1}{9}$?

Two integers are randomly and independently chosen from $13$ to $22$ (inclusive). Now, Kevin picks an integer from $13$ to $22$ wanting the probability that his number is not less than either of two to be more than $50$%. What is the least number he can pick?

**Details and assumptions**

The two numbers randomly and independently chosen could be the same.