Determining the conditionally independent


Suppose that A1, A2 are events such that P(A1B)>0. Show that A1 and A2 are conditionally independent given B (i.e., P(A1A2|B)=P(A1|B)P(A2|B) ) if and only if P(A2|A1B)=P(A2|B).

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Basic Statistics: Determining the conditionally independent
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