> [!NOTE] Definiton > Let $(\Omega,\mathcal{F}, \mathbb{P})$ be a [[Probability Space|probability space]]. Events $A,B\in \mathcal{F}$ are mutually exclusive iff $A \cap B=\emptyset.$ # Properties By [[Disjoint Events are Independent iff Probability of one is Zero]], events $A,B$ are both mutually exclusive and independent iff either $\mathbb{P}(A)$ or $\mathbb{P}(B)$ equal zero.