[3] In the event that the structure of a Bayesian network accurately depicts causality, the two conditions are equivalent.
The central idea behind the philosophical study of probabilistic causation is that causes raise the probabilities of their effects, all else being equal.
However, doing so in outer space does not produce the same outcome, calling into question if releasing one's fingers from a hammer always causes it to fall.
A causal graph could be created to acknowledge that both the presence of gravity and the release of the hammer contribute to its falling.
This essentially states the Causal Markov Condition, that given the existence of gravity the release of the hammer, it will fall regardless of what is beneath it.