My understanding of predestination is God determines what will happen, what you are talking about sounds more like God just knows what everyones destiny is which makes more sense.
So as far as I am able to understand with predestination God is in fact determining your fate and is deciding who will go to hell and you will accept him.
So far I have restrained from posting specific Bible verses because it is usually not effective in an argument where one party does not believe in the validity of the Bible. But in this case I have to as this question does refer specifically to Bible doctrine.
"For God so loved the world, that He gave His only begotten Son, that whoever believes in Him should not perish, but have eternal life. (John 3:16)
"And I, if I be lifted up from the earth, will draw
all men to Myself." (John 12:32)
For the death that He died, He died to sin,
once for all; but the life that He lives, He lives to God. (Romans 6:10)
For as in Adam all die, so also in Christ
all shall be made alive. (1 Corinthians 15:22)
For the love of Christ controls us, having concluded this, that
one died for all, therefore all died; and He died for all, that they who live should no longer live for themselves, but for Him who died and rose again on their behalf. (2 Corinthians 5:15)
For it is for this we labor and strive, because we have fixed our hope on the living God, who is the
Savior of all men, especially of believers. (1 Timothy 4:10)
For the grace of God has appeared, bringing
salvation to all men, (Titus 2:11)
The Lord is not slow about His promise, as some count slowness, but is patient toward you,
not wishing for any to perish but for all to come to repentance. (2 Peter 3:9)
For Christ also died for sins once for
all, the just for the unjust, in order that He might bring us to God, having been put to death in the flesh, but made alive in the spirit; (1 Peter 3:18)
Finally Jesus told his disciples to go out and tell the world about Him and salvation through Him. This is why all save one Apostle died professing a risen Christ. If salvation was already decided by God, and free will was not an issue then there would be no need to spread the Gospel to all men.