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) | $\varepsilon_E, \varepsilon_F \in [0, 1]$ are each a D993: Real number |
| (iii) | \begin{equation} \mathbb{P}(E) \geq 1 - \varepsilon_E \end{equation} |
| (iv) | \begin{equation} \mathbb{P}(F) \geq 1 - \varepsilon_F \end{equation} |
Then
\begin{equation}
\mathbb{P}(E \cap F)
\geq 1 - \varepsilon_E - \varepsilon_F
\end{equation}