Probability calculus

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Let File:Hepa img850.gif denote arbitrary events with probabilities File:Hepa img851.gif  . Define Hepa img25.gif as the event complementary to A, hence with probability 1-P(A). Let AB be an event for which both A and B are true, and let P(B|A) denote the probability of an event B occurring under the condition that A is given. The Kolmogorov axioms can then be written in the following form:

Rules:

 also Boolean Algebra.