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 \[p(A)\le p(B).\]

Proofs: 1

Proofs: 1


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References

Bibliography

  1. Bosch, Karl: "Elementare Einführung in die Wahrscheinlichkeitsrechnung", vieweg Studium, 1995, 6th Edition