Proposition: Probability of Included Event
For any two events \(A,B\subseteq\Omega\) with \(A\subset B\) we have
\[p(A)=p(B)p(\overline A\cap B).\]
In particular, it follows that
\[p(A)\le p(B).\]
Table of Contents
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Proofs: 1
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References
Bibliography
 Bosch, Karl: "Elementare Einführung in die Wahrscheinlichkeitsrechnung", vieweg Studium, 1995, 6th Edition