Proposition: Probability of Event Difference

For any two events \(A,B\subseteq\Omega\) we have \[p(A\setminus B)=p(A\cap \overline{B})=p(A)-p(A\cap B).\]

Proofs: 1

Proofs: 1 2


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References

Bibliography

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