It's true. If you are concerned with proof, following the this belove

according to conditional probability p(a|b)=p(a,b)/p(b)

(1) P(A,B|C)=P(A,B,C)/P(C)
(2) P(A,B,C)=P(A,C)*P(B|A,C)
(3) P(A,C)=P(C)*P(A|C)

WITH (2) AND (3) WE GET

(4) P(A,B,C)=P(C)*P(A|C)*P(B|A,C)

TAKING (1) AND (4) WE GET P(A*B|C)=P(A|C)*P(B|A*C)?

Hope this help
Nathaniel

Użytkownik "Matt Dobrin" <[EMAIL PROTECTED]> napisał w wiadomości
9uh8ge$5hv$[EMAIL PROTECTED]">news:9uh8ge$5hv$[EMAIL PROTECTED]...
> Does P(A*B|C)=P(A|C)*P(B|A*C)?  If not, what does it equal?  Thanks in
> advance.
> -Matt
>
>




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