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...