Fundamentals of Statistics contains material of various lectures and courses of H. Lohninger on statistics, data analysis and chemometrics......click here for more. 
Home Math Background Probability Algebra of Probabilities  
See also: random experiments, conditional probability  
Algebra of Probabilities
Probabilities of events are closely related to set theory. We must therefore specify the most important rules for calculating probabilities of particular set operations. These rules are based on the axioms of Kolmogorov:
From these axioms, the following important equations can be deducted: Independent events: events A and B are independent if the occurrence
of B does not change the probability of A and vice versa. The conditional
probability p(AB) equals p(A) for independent events.


Home Math Background Probability Algebra of Probabilities 
Last Update: 20121008