(New page: <MATH> P(A)=P(A|C)P(C)+P(A|C^c)p(C^c) </MATH>) |
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− | <MATH> P(A)=P(A|C)P(C)+P(A|C^c) | + | <MATH> P(A)=P(A|C)P(C)+P(A|C^c)P(C^c) </MATH> |
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+ | <MATH>P(A|B)=P(A|B \bigcap C)P(C|B)+P(A|B \bigcap C^c)P(C^c|B) </MATH> |
Revision as of 19:05, 15 September 2008
$ P(A)=P(A|C)P(C)+P(A|C^c)P(C^c) $
$ P(A|B)=P(A|B \bigcap C)P(C|B)+P(A|B \bigcap C^c)P(C^c|B) $