Though man fell and is dead in sins and tresspasses (Eph. 2:1), his will is free and if he wants, he may choose God and be saved. This is the partial fall belief. Fallen man is not completely fallen. He still has an attribute that can say yes to God and thus please Him.
Oh, how powerful we have become, and how marginalized God has become! God waits, hopefully, while man decides.
I would like to take the very opposite view--that God has decided, before the world was made, who He is to save. We weren't around at that time. I was going to say "in those days," but that would be incorrect, as days did not exist then.
How this kills the ego! People find it intolerable that the decision process did not involve them. Yet is it not sweet to think of being chosen before the world was made? Like newlyweds preparing a baby's room as soon as they are married.