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Probability: Difference between revisions
→Monotonicity
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* 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=== | ===Monotonicity=== | ||
* For all events <math>A</math> | * For all events <math>A</math> and <math>B</math>, <math>A \subset B \implies P(A) \leq P(B)</math> | ||
{{hidden | Proof | }} | {{hidden | Proof | }} | ||