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

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:[[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, A_{1}and A_{2}, the probability of both events, is given by the sum of the probabilities for all elementary events in both A_{1}and A_{2}. If the intersection is empty, then the probability is exactly zero. #For any arbitrary events, A_{1}and A_{2}, the probability of either or both, , is given by the sum of the probabilities of the two events minus the probability of both. *SUM Pr[E_{i}] = 1 *Pr[A_{1}*A_{2}] = SUM of Pr[E_{i}] for all E_{i}in both A_{1}and A_{2}. * Pr[A_{1}+A_{2}] = Pr[A_{1}] + Pr[A_{2}] - Pr[A_{1}*A_{2}] The probability of some event happening knowning that some other one happened before can be computed using [[Conditional Probability]]. ---- [[Dick Beldin]]