We got an assignment to find such three dependent events that satisfy this equation: P(A*B*C)=P(A)*P(B)*P(C). I was thinking to solve this with use of Bayes network: A->B<-C, so P(A*B*C)=P(A)*P(B|A*C)*P(C), and with Bayes' theorem I got P(B|AC)=P(AC|B)*P(B)/P(AC)=P(B), so the first equation is true. Is this approach correct?