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Properties of conditional probability

Conditional probability is used in modeling. Often tex2html_wrap_inline1408 can be assigned by ``intuitive" considerations. It can then be used to compute other probabilities. The simplest example is tex2html_wrap_inline1410 , which is a direct consequence of the definition.

Example583

The following identities are also of interest.

  1. Path Probability: tex2html_wrap_inline1432
  2. Bayes theorem:   tex2html_wrap_inline1434
  3. Total probability formula:   If tex2html_wrap_inline1436 are pairwise disjoint and exhaustive , ie. tex2html_wrap_inline1438 for tex2html_wrap_inline1440 and tex2html_wrap_inline1442 , then

      equation774

  Exercise607

  Example610



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