Definition: Pairwise Independent Events

By extending the characterization of independent events from two to \(n\) events \(A_1,...,A_n\), we call them pairwise independent, if for any pair if indices \(i,j\in \{1,\ldots,n\}\), \(i\neq j\), the probability of joint event. \[A_i\cap A_j\] equals the product of all individual probabilities:

\[p(A_i\cap A_j)=p(A_i)\cdot p(A_j).\]

Explanations: 1

Explanations: 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