Definition of equal distributions

The probability distribution of Pr:\ohm\to[0,1] is called equal if: \forall w \in \ohm : Pr(w) = \frac{1}{n}

With A \in \ohm and Pr: \ohm \to [0,1] being a equal distribution, then the following holds; Pr(A) = \frac{|A|}{|\ohm|}