Event Space contains Sample Space

Theorem
Let $\EE$ be an experiment with a probability space $\struct {\Omega, \Sigma, \Pr}$.

The event space $\Sigma$ of $\EE$ has the property that:
 * $\Omega \in \Sigma$

where $\Omega$ is the sample space of $\EE$.

Also see

 * Elementary Properties of Event Space