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 $m+n$.
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27$47#44$!66j88z $+46+69×57=74÷5900%8₩85..
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