Question 2
Jenn randomly chooses a number $J$ from $1,$ $2,$ $3,$ $\ldots,$ $19,$ $20.$ Bela then randomly chooses a number $B$ from $1,$ $2,$ $3,$ $\ldots,$ $19,$ $20$ distinct from $J.$ The value of $B - J$ is at least $2$ with a probability that can be expressed in the form $\frac{m}{n},$ where $m$ and $n$ are relatively prime positive integers. Find $m + n.$