Hey truleX.

For this statement is P(A*B*C) = P(A and B and C)? I think that independence follows from P(A and B) = P(A)P(B) and using some induction P([A and B] and C) = P([A and B])P(C) = P(A)P(B)P(C) shows that if this is the case then A,B,C are all independent from each other (where P(A|B,C) = P(A), P(B|A,C) = P(B) and P(C|A,B) = P(C)).

If this is not the case what does P(A*B*C) mean?