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

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Probability_Theory

:[[Probability]]
:[[Probability Axioms]] -- [[Probability Distributions]]

The basic theorems of probability can be developed easily from the [[Probability Axioms]] and [[Set Theory]]. 

#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, , is given by 
* Pr[A1+A2] = Pr[A1] + Pr[A2] - Pr[A1*A2]

The probability of some event happening knowning that some other one happened before can be computed using [[Conditional Probability]].
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[[Dick Beldin]]