I know a person who believes in God and Jesus but will not give up any sins.
Do you think that person is saved? The demons believe there is One God.
I have many beliefs, not just one.
I believe, that at the time of the apostle Paul, Nero was the emperor of Rome. That is a fact that I believe. In spite of that faith (belief) Nero will not save me. It is simple knowledge based on the facts of history. Likewise the demons believe God exists. They don't put their faith (belief) in God that God will save them. In fact they blindly follow Satan who still is so deceived that he believes he someday will overcome God.
The object of my belief, as far as salvation is concerned is Jesus Christ. I do believe that he will save me, according the promises written in his Word. This is not blind belief. It is based on fact--the fact of the resurrection of Christ, the witness of the Spirit.
Does God's Spirit bear witness with your spirit that you are a child of God?
Salvation is not of works. The thief on the cross had no works.
There are many "death-bed" salvations. (no time for works).
When I got saved, I did not do good works because I had to.
I did good works because I wanted to. There is a big difference. If it was the former it would be called reformation, and a person's salvation would likely be questioned. Reformation is not salvation.
When I got saved the Holy Spirit immediately came and indwelt me. I did good works after that because I was a new creature in Christ. I was changed. There was a desire in me to read his word, and to pray--to do those things that I had never wanted to do before. Before that time I had to force myself to be religious or do it simply out of duty. Now I would serve God out of Joy. Now there was peace in my heart. This wasn't reformation, but transformation. Good works came naturally. I was a new creature in Christ. I didn't have to do good works. They came naturally.
Abraham believed and obeyed. The jailer believed, and obeyed. He feared God, and called on the name of the Lord, repented, and was baptized.
They believed and were saved.
Good works always, always, follow salvation. They are never a requirement for salvation. If they are, then you just spit in the face of Jesus telling him that his blood was not sufficient enough to cover the penalty for your sin. That is what the belief of the necessity of good works for salvation is--the belief that the sacrifice of Christ wasn't good enough. You had to help him with your works. And that is blasphemous.