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]
- For events [math]A_1, \dots, A_n[/math], prove that
[[math]] P(A_1 \cup \cdots \cup A_n) \leq P(A_1) + \cdots + P(A_n)\ . [[/math]]
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For events [math]A[/math] and [math]B[/math], prove that
[[math]] P(A \cap B) \geq P(A) + P(B) - 1. [[/math]]