How do we interpret P(A|B|C) ? is P(A|B|C) = P(A|B)? First of all, do such probabilities P(A|B|C) even make sense? If they do, Then, P(A|B|C) means, that given C has occurred and given that B occurs which depends on C, what is the probability that A occurs which depends on B? Will this not be the same as saying, that since C has occurred, so P(A|B|C) = P(A|B) simply? Example: A = I am alive. B = Building fell. C = Earthquake struck. Q1) so is not P(A|B|C) = P(A|B) simply? Q2) and so P(A,B,C) = P(A|B|C)P(B|C)P(C) = P(A|B)P(B|C)P(C) ?