This question is philosophical in nature. The example is taken from theology, but one may invent more examples, including these more scientific than mine. Nevertheless it is a valid mathematical issue.
Accordingly (my understanding of) Protestant theology:
Salvation of a human does not directly depend on his deeds, because salvation is by faith only.
But salvation "indirectly" depends on deeds: salvation depends on faith and deeds also depend on faith.
Or replacing the concrete question with more abstract one:
A does not directly depend on B.
But A indirectly depends on B: A depends on C and B also depend on C.
I ask you to formalize in terms of probability theory (or some other kind of logic) these my informal musings.
In a draw of a card from a deck, let A be to draw a spade and B to draw a king. Then A does not depend on B, in fact A,B are independent. However if C were say to draw the queen of spades, then each of A and B would definitely depend on C.