Certainly not a full list but as you can see, people are commanded to believe and be saved. How cruel would God have to be to tell someone to believe when they aren't capable of doing so??
And they said, “Believe in the Lord Jesus, and you will be saved, you and your household.
Because, if you confess with your mouth that Jesus is Lord and believe in your heart that God raised him from the dead, you will be saved.
“For God so loved the world, that he gave his only Son, that whoever believes in him should not perish but have eternal life.
For I am not ashamed of the gospel, for it is the power of God for salvation to everyone who believes, to the Jew first and also to the Greek.
And it shall come to pass that everyone who calls upon the name of the Lord shall be saved.’
But these are written so that you may believe that Jesus is the Christ, the Son of God, and that by believing you may have life in his name.
Whoever believes in the Son has eternal life...
For with the heart one believes and is justified, and with the mouth one confesses and is saved.
I am the door. If anyone enters by me, he will be saved and will go in and out and find pasture.
Truly, truly, I say to you, whoever hears my word and believes him who sent me has eternal life. He does not come into judgment, but has passed from death to life.
But to all who did receive him, who believed in his name, he gave the right to become children of God.
Clearly it is possible for a sinner to believe and be saved.