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Consider this Bayes net enter image description here

A,B,C forms a v-structure. $B \not\!\perp\!\!\!\perp C | A$, B is not independent with C if A is observed. My question is, if B,A,D are all given, can we write $p(C|B,A,D) = p(C|D)$?

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  • $\begingroup$ no as there is a direct edge from C to A then information can pass. so p(C|B,A,D) = p(C|A,D). $\endgroup$ – user20650 Apr 28 at 12:12

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