Definition:Equiprobability Space

An equiprobability space is a finite probability space $$\left({\Omega, \Sigma, \Pr}\right)$$ with equiprobable outcomes.

That is, for all $$\omega_i, \omega_j \in \Omega$$:
 * $$\Pr \left({\omega_i}\right) = \Pr \left({\omega_j}\right)$$.

From Probability Mass Function on Equiprobable Outcomes, we have that:
 * $$\forall \omega \in \Omega: \Pr \left({\omega}\right) = \frac 1 n$$
 * $$\forall A \subseteq \Omega: \Pr \left({A}\right) = \frac {\left|{A}\right|} n$$