2018 AIME II Problems/Problem 6
Problem
A real number 
is chosen randomly and uniformly from the interval ![$[-20, 18]$](http://latex.artofproblemsolving.com/5/e/d/5ed3fd299f7f005431bef3d44f28cf5f7494b169.png)
. The probability that the roots of the polynomial
are all real can be written in the form 
, where 
and 
are relatively prime positive integers. Find 
.
