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Boole's Inequality


\begin{displaymath}
P\left({\,\bigcup_{i=1}^N E_i}\right)\leq \sum_{i=1}^N P(E_i).
\end{displaymath}

If $E_i$ and $E_j$ are Mutually Exclusive for all $i$ and $j$, then the Inequality becomes an equality.




© 1996-9 Eric W. Weisstein
1999-05-26