\begin{definition}[Definition:Event/Occurrence]
Let the probability space of an experiment $\EE$ be $\struct {\Omega, \Sigma, \Pr}$.
Let $A, B \in \Sigma$ be events, so that $A \subseteq \Omega$ and $B \subseteq \Omega$.
Let the outcome of the experiment be $\omega \in \Omega$.
Then the following real-world interpretations of the '''occurrence''' of events can be determined:
:If $\omega \in A$, then '''$A$ occurs'''.
:If $\omega \notin A$, that is $\omega \in \Omega \setminus A$, then '''$A$ does not occur'''.
\end{definition}