Example: Suppose we choose the ordering M, J, A, B, E
P(J | M) = P(J)? No
P(A | J, M) = P(A | J)? P(A | J, M) = P(A)? No
How do you know that P(A|J, M) = P(A) is the only condition that A depends on M? Is it possible that only J is dependent on A?