Some people might say, if God is choosing who is saved, doesn’t that undermine our own free will to choose and believe in Christ? Well, no, because we are free to choose Christ or to reject him. The Bible says that we all have the choice – all who believe in Jesus will be saved. ‘For God so loved the world – all of us – that he gave his one and only Son, that whoever believes in him shall not perish but have eternal life’ (John 3:16). The Bible never describes God rejecting anyone who believes in Him; it never describes God turning away anyone who is seeking Him. Somehow, in the mystery of God, predestination works hand-in-hand with a person choosing him. God predestines who will be saved, but we must choose Christ in order to be saved. Both facts are equally true.

Source: www.gotquestions.org/Printer/predestination-PF.html#ixzz3Xswi48QN