# Meeting note 0824 **Def (probability space)** A prob. space is a triplet, $(\Omega, \mathcal{F}, \mu)$. $\Omega$ is a set. $\mathcal{F}$ is a collection of subsets of $\Omega$, i.e., if $A \in \mathcal{F}$, then $A \subset \Omega$. (The other way around may be false!) E.g. Let $\Omega= (\mbox{Adam, Ben, Charles, Daniel})$ be the set of students in a class.