Conditional probability: Difference between revisions

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== Definition ==
[[File:Conditional probability.svg|thumb|Illustration of conditional probabilities with an [[Euler diagram]]. The unconditional [[probability]] P(''A'') = 0.30 + 0.10 + 0.12 = 0.52. However, the conditional probability ''P''(''A''|{{pipe}}''B''{{sub|1}}) = 1, ''P''(''A''|{{pipe}}''B''{{sub|2}}) = 0.12 ÷ (0.12 + 0.04) = 0.75, and P(''A''|{{pipe}}''B''{{sub|3}}) = 0.]]
 
[[File:Probability tree diagram.svg|thumb|On a [[Tree diagram (probability theory)|tree diagram]], branch probabilities are conditional on the event associated with the parent node. (Here, the overbars indicate that the event does not occur.)]]