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| ## page was renamed from Statistics/JointProbabilities = Joint Probability = A joint probability is the likelihood of multiple events occurring, either simultaneously or sequentially. The joint probability of two events is notated as ''P(A ∩ B)'', or sometimes more informally as ''P(AB)''. <<TableOfContents>> ---- == Decomposition == The intersection of two events ''A'' and ''B'' is the same as event ''A'' times the [[Statistics/ConditionalProbability|conditional probability]] of ''B'' given ''A''. This can be expanded out to any number of events. ''P(A,,1,, ∩ A,,2,, ∩ ... ∩ A,,n-1,, ∩ A,,n,,) = P(A,,1,,|A,,2,, ∩ ... ∩ A,,n,,) ... P(A,,n-1,,|A,,n,,) P(A,,n,,) ---- CategoryRicottone |
