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wikify and correct (you can't divide by zero!) |
conditional probability measure |
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If ''A'' and ''B'' are [[Statistical_independence|independent]] events (that is, the occurrence of either one does not affect the occurrence of the other in any way), then
''P''(''A'' ∩ ''B'') = ''P''(''A'') · ''P''(''B''), so ''P''(''A''|''B'') = ''P''(''A'').
If ''B'' is an event and ''P''(''B'') > 0, then the function ''Q'' defined by ''Q''(''A'') = ''P''(''A''|''B'') for all events ''A'' is a [[probability measure]].
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