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Countable Additivity Probability Axiom

For a Countable Set of $n$ disjoint events $E_1$, $E_2$, ..., $E_n$

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

See also Countable Set




© 1996-9 Eric W. Weisstein
1999-05-25