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Probability: Difference between revisions
→Axioms of Probability
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* <math>P(S) = 1</math> where <math>S</math> is your sample space | * <math>P(S) = 1</math> where <math>S</math> is your sample space | ||
* For mutually exclusive events <math>E_1, E_2, ...</math>, <math>P\left(\bigcup_i^\infty E_i\right) = \sum_i^\infty P(E_i)</math> | * For mutually exclusive events <math>E_1, E_2, ...</math>, <math>P\left(\bigcup_i^\infty E_i\right) = \sum_i^\infty P(E_i)</math> | ||
===Monotonicity=== | |||
* For all events <math>A</math>, <math>B</math>, <math>A \subset B \implies P(A) \leq P(B)</math> | |||
{{hidden | Proof | }} | |||
==Expectation and Variance== | ==Expectation and Variance== | ||