Discrete Mathematics
# Geometric Probability

A real number \( r \) is chosen at random from the interval \( [ -1 , 1 ] \).

What 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.

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