# Independence in this Bayes net

Consider this Bayes net

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 $$p(C|B,A,D) = p(C|D)$$?

• 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). – user20650 Apr 28 at 12:12