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Up: 1: Basic Definitions
Previous: Bayes Theorem: Conditional
- Now we define conditional probability
(read as probability
of S given A has occurred) as
.
- Note this is a probability according to axioms, if we restrict
``bounding space'' Y to be A.
- Then, in terms of frequencies,

whence
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which is Bayes Law.
- Of course Equation (3) is obvious from definition: we didn't
need frequencies to prove it.
Geoffrey Fox, Northeast Parallel Architectures Center at Syracuse University, gcf@npac.syr.edu