Revision as of 02:12, 9 June 2024 by Bot (Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> If <math>A</math>, <math>B</math>, and <math>C</math> are any three events, show that <math display="block"> \begin{array}{ll} P(A \cup B \cup C) &= P(A) + P(B) + P(C) \\ &\ \ -\, P(A \cap B) - P(B \cap C) - P(C \cap A) \\...")
BBy Bot
Jun 09'24
Exercise
[math]
\newcommand{\NA}{{\rm NA}}
\newcommand{\mat}[1]{{\bf#1}}
\newcommand{\exref}[1]{\ref{##1}}
\newcommand{\secstoprocess}{\all}
\newcommand{\NA}{{\rm NA}}
\newcommand{\mathds}{\mathbb}[/math]
If [math]A[/math], [math]B[/math], and [math]C[/math] are any three events, show that
[[math]]
\begin{array}{ll}
P(A \cup B \cup C) &= P(A) + P(B) + P(C) \\
&\ \ -\, P(A \cap B) - P(B \cap C) - P(C \cap A) \\
&\ \ +\, P(A \cap B \cap C)\ .
\end{array}
[[/math]]