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


Thank you to the contributors under CC BY-SA 4.0!

Github:
bookofproofs


References

Bibliography

  1. Bosch, Karl: "Elementare Einf├╝hrung in die Wahrscheinlichkeitsrechnung", vieweg Studium, 1995, 6th Edition