Definition: Conditional Probability

Let \(B\) be an event with the probability \(p(B) > 0\) and let \(A\) be another event. The conditional probability of \(A\) given \(B\) is defined as the quotient of the probability of the events \(A\) and \(B\) occurring concurrently, and the probability of \(B\), symbolically: \[p(A|B) = \frac{p(A \cap B)}{p(B)}\]

Definitions: 1
Proofs: 2 3 4 5 6
Propositions: 7 8


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References

Bibliography

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