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Definition of Probability 9/25

Definition: Given anoutcome space $\Omega$, a discrete random variable and its distribution function m, we define the probability of an event E as

\begin{displaymath}P(E)=\sum_{\omega_i \in E} m(\omega_i)\end{displaymath}

Consequence:Direct consequences of the definition are that:

\begin{displaymath}P(\phi)=0,\qquad P(\Omega)=1\end{displaymath}

where $\phi$ is the empty set.



Susan Holmes
1998-12-07