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 ::: 3.03 Further on Probability ::: n order to make further and more complex calculations on probabilites, more properties need to be made known. For example, the union of two events is the "or" case - either event A or event B or both. Intersection is the "and" case - both. The conditional probability (P(B|A) - read "the probability of B given A") is defined by P(B|A) = P(A and B)/P(A). Other fundamental rules of probability are: 0 < P(A) < 1 P(S) = 1 P(Ac) = 1 - P(A) P(A or B) = P(A) + P(B) - P(A and B) P(A and B) = P(A)P(B|A) If A and B are disjoint, then P(A and B) = 0. Because of this, P(A or B) = P(A) + P(B) for unions. A and B are independant when P(B|A) = P(B). Because of this, P(A and B) = P(A)P(B) for intersections. :: 3.00 :: 3.01 :: 3.02 :: 3.03 :: 3.04 :: :: 3.10 :: 3.11 :: :: 3.20 :: 3.21 :: :: 3.30 :: 3.31 :: 3.32 ::

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