All persons who will enter into eternal life after death were predestined to eternal life before they were born. This includes both Jew and Gentile. Predestined is only used in a positive sense in Scripture. A person cannot be predestined to hell but he can be condemned to hell.
Ephesians 1:11-12 In Him also we have obtained an inheritance, being predestined according to the purpose of Him who works all things according to the counsel of His will, 12 that we who first trusted in Christ should be to the praise of His glory.
The predestined are also called the elect. Before the foundation of the world God predestined all the people whom He knew would be entering into eternal life after they died. Before the earth was created, God knew who would be condemned to hell and He knew who would spend eternity in heaven with Him. God has foreknowledge of all future events and He made His plan for salvation based on His foreknowledge of these future events.
1 Peter 1:2 elect according to the foreknowledge of God the Father, in sanctification of the Spirit, for obedience and sprinkling of the blood of Jesus Christ: Grace to you and peace be multiplied.
All people are called to repentance but not everyone will repent.
Matthew 3:1-2 In those days John the Baptist came preaching in the wilderness of Judea, 2 and saying, “Repent, for the kingdom of heaven is at hand!
The persons who do freely choose to repent and become born again are saved from their sins. These born again persons are now justified: their relationship with God has been made right. They are now called righteous.
John 3:3 Jesus answered and said to him, “Most assuredly, I say to you, unless one is born again, he cannot see the kingdom of God.”
These born again people who continue in the faith (remain faithful to God's commandments) until death are then glorified after death. Not all born again people will continue in obedience to the faith/God's commandments until death. Many will later fall away from the faith and will then be condemned to hell if they do not repent again of their sins before they die.
Acts 14:22 strengthening the souls of the disciples, exhorting them to continue in the faith, and saying, “We must through many tribulations enter the kingdom of God
Luke 8:13 But the ones on the rock are those who, when they hear, receive the word with joy; and these have no root, who believe for a while and in time of temptation fall away.
Matthew 24:12-13 And because lawlessness (sin) will abound, the love of many will grow cold. 13 But he who endures to the end shall be saved.
1 John 3:4 Whoever commits sin also commits lawlessness, and sin is lawlessness.
The people who only believe for a while are not approved to enter into eternal life. Only those believers who choose to believe/obey/remain faithful until death enter into the glory of heaven after death.
Revelation 2:10 Do not fear any of those things which you are about to suffer. Indeed, the devil is about to throw some of you into prison, that you may be tested, and you will have tribulation ten days. Be faithful until death, and I will give you the crown of life.
So, before the foundation of the world God knew which people, after the creation of the earth, would enter into eternal life after they died. He predestined to eternal life only the people whom He knew would enter into eternal life after they died.
The predestined, after birth, freely chose to accept His call and become born again and then freely chose to remain faithful to Him until death. Or else, if they later fell away through sin, they repented and became righteous again before death.
Romans 8:30 Moreover whom He predestined, these He also called; whom He called, these He also justified; and whom He justified, these He also glorified.
All are called. Some of these persons who are called to repentance do freely choose to reject the opportunity to become saved/justified/born again/made righteous. These persons are condemned to hell after death.
Some of these persons who are called choose to repent and become justified/born again.
Of these who do become justified, some will remain faithful until death and it is these who do remain faithful until death who are approved by God to enter into the glory of eternal life.
James 1:12 Blessed is the man who endures temptation; for when he has been approved, he will receive the crown of life which the Lord has promised to those who love Him.
Many believers fall away from the faith when they are tempted to sin because they freely choose to sin instead of freely choosing to continue to obey God's commandments until death.
Luke 8:13 But the ones on the rock are those who, when they hear, receive the word with joy; and these have no root, who believe for a while and in time of temptation fall away.
The persons who are justified/born again and who do not choose to remain faithful to God and His commandments until death will be condemned to hell after death.
Who will enter into eternal life? Jesus teaches:
Matthew 19:16-19 Now behold, one came and said to Him, “Good Teacher, what good thing shall I do that I may have eternal life?”
17 So He said to him, “Why do you call Me good? No one is good but One, that is, God. But if you want to enter into life, keep the commandments.”
18 He said to Him, “Which ones?”
Jesus said, “‘You shall not murder,’ ‘You shall not commit adultery,’ ‘You shall not steal,’ ‘You shall not bear false witness,’ 19 ‘Honor your father and your mother,’ and, ‘You shall love your neighbor as yourself.’ ”