Could it be both???
Mankind is fallen and would never choose to believe in Jesus unless God first initiates it, but after God begins drawing us to Jesus He allows us to exercise our free will in whether or not to choose to believe in Jesus.
What I see in Scripture is that a person's salvation depends on God (as some claim) and the person's salvation depends on his free will decision (as some claim). These truths are both taught in Scripture, and they are held in tension with each other just as the two truths that Jesus is 100% God and 100% human are both taught in Scripture and are held in tension with each other. Whether or not we can grasp these "contradictory" truths is not the issue, the issue boils down to the fact that these "contradictory" truths are clearly taught in Scripture. God's ways are higher than our ways, and His thoughts are higher than our thoughts! (Isaiah 55:8-9).