Let $P = (\Omega, \mathcal{F}, \mathbb{P})$ be a D1159: Probability space such that

(i)	$E, F \in \mathcal{F}$ are each an D1716: Event in $P$
(ii)	\begin{equation} E \cap F = \emptyset \end{equation}

Then the following statements are equivalent

(1)	$E, F$ is an D1720: Independent event collection in $P$
(2)	$\mathbb{P}(E) = 0$ or $\mathbb{P}(F) = 0$