Is $P(A,B|X)=P(A|X)P(B|X)$ if $A$, $B$ are conditionally independent?











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Suppose I have two events $A$ and $B$ that are conditionally independent from each other. Is the following correct?$$P(A,B|X)=P(A|X)*P(B|X)$$



If so, what is this rule called?






probability probability-theory bayesian







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    If you mean "conditionally independent given $X$", then yes: it's the definition. en.wikipedia.org/wiki/…
    – Clement C.
    2 days ago















up vote
0
down vote

favorite












Suppose I have two events $A$ and $B$ that are conditionally independent from each other. Is the following correct?$$P(A,B|X)=P(A|X)*P(B|X)$$



If so, what is this rule called?






probability probability-theory bayesian







share|cite|improve this question


















  • 3




    If you mean "conditionally independent given $X$", then yes: it's the definition. en.wikipedia.org/wiki/…
    – Clement C.
    2 days ago













up vote
0
down vote

favorite









up vote
0
down vote

favorite











Suppose I have two events $A$ and $B$ that are conditionally independent from each other. Is the following correct?$$P(A,B|X)=P(A|X)*P(B|X)$$



If so, what is this rule called?






probability probability-theory bayesian







share|cite|improve this question













Suppose I have two events $A$ and $B$ that are conditionally independent from each other. Is the following correct?$$P(A,B|X)=P(A|X)*P(B|X)$$



If so, what is this rule called?






probability probability-theory bayesian




probability probability-theory bayesian






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked 2 days ago









pafnuti

212114




212114








  • 3




    If you mean "conditionally independent given $X$", then yes: it's the definition. en.wikipedia.org/wiki/…
    – Clement C.
    2 days ago














  • 3




    If you mean "conditionally independent given $X$", then yes: it's the definition. en.wikipedia.org/wiki/…
    – Clement C.
    2 days ago








3




3




If you mean "conditionally independent given $X$", then yes: it's the definition. en.wikipedia.org/wiki/…
– Clement C.
2 days ago




If you mean "conditionally independent given $X$", then yes: it's the definition. en.wikipedia.org/wiki/…
– Clement C.
2 days ago















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