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|Table of Contents Math Background Introduction to Probability Algebra of Probabilities|
|See also: random experiments, conditional probability|
Probabilities of events are closely related to set theory. We must therefore
specify the most important rules for calculating probabilities of particular
set operations. These rules are based on the axioms of Kolmogorov:
|Any outcome of a random experiment A has a probability p(A) which shows
the following relationships:
(1) 0 <= p(A) <= 1.
From these axioms, the following important equations can be deducted:
Independent events: events A and B are independent if the occurrence
of B does not change the probability of A and vice versa. The conditional
probability p(A|B) equals p(A) for independent events.
Last Update: 2005-Jul-16