Wikipedia 10K Redux by Reagle from Starling archive. Bugs abound!!!

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ProbabilityTheory

:ProbabilityAndStatistics
:ProbabilityAxioms -- ProbabilityDistributions

The basic theorems of probability can be developed easily from the ProbabilityAxioms and SetTheory. 

#The sum of the probabilities for all the ''elementary events'' is one.
#For any arbitrary events, A1 and A2, the probability of both events, Pr{A1*A2}, is given by the sum of the probabilities of the ''elementary events'' in both A1 and A2. If the intersection is empty, then the probability is exactly zero.
#For any arbitrary events, A1 and A2, the probability of either or both, Pr{A1+A2}, is given by Pr{A1}+Pr{A2}-Pr{A1*A2}
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