Dimitri places a Black King and a White Knight on 2 distinct squares in an empty chessboard. If the probability that Dimitri places the King and the Knight on the chessboard such that the King is **not** in check (that is, the Knight is not attacking the Black King), can be expressed as $\dfrac{m}{n}$, where $m$ and $n$ are coprime positive integers, find $m+n$.

As an explicit example, if the Knight is on $\text{f2}$, the $\text{h3}$, $\text{d3}$, $\text{d1}$, $\text{h1}$, $\text{g4}$ and $\text{e4}$ squares are under attack.