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Mark 2024-09-26 11:20:56 -07:00
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Advanced/Stopping Problems/parts/0 probability.tex
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@ -6,7 +6,7 @@ The elements of this set are called \textit{outcomes}. \par
An \textit{event} is a set of outcomes (i.e, a subset of of $\Omega$). An \textit{event} is a set of outcomes (i.e, a subset of of $\Omega$).
\definition{} \definition{}
A \textit{probability function} over a sample space $\Omega$ is a function $\mathcal{P}: P(\Omega) \to (0, 1)$ \par A \textit{probability function} over a sample space $\Omega$ is a function $\mathcal{P}: P(\Omega) \to [0, 1]$ \par
that maps events to real numbers between 0 and 1. \par that maps events to real numbers between 0 and 1. \par
Any probability function has the following properties: Any probability function has the following properties:
\begin{itemize} \begin{itemize}