The Bible gives us enough information regarding Judas Iscariot to know that, though he was chosen by Christ with the eleven, he was never chosen to be saved, because he was never made spiritually alive through the Spirit of Christ, who was with them. God allowed Judas, one of the chosen twelve, not for salvation but to be the one to betray Christ. Because without the cross and resurrection no man could overcome sin and defeat death. This can only be accomplished for those who are born of the Spirit of Christ, which is Christ in you.
John 13:18 (KJV) I speak not of you all: I know whom I have chosen: but that the scripture may be fulfilled, He that eateth bread with me hath lifted up his heel against me.
Psalm 41:9 (KJV) Yea, mine own familiar friend, in whom I trusted, which did eat of my bread, hath lifted up his heel against me.
Lu 22:1 ¶ Now the feast of unleavened bread drew nigh, which is called the Passover.
Lu 22:2 And the chief priests and scribes sought how they might kill him; for they feared the people.
Lu 22:3 Then entered Satan into Judas surnamed Iscariot, being of the number of the twelve.
Lu 22:4 And he went his way, and communed with the chief priests and captains, how he might betray him unto them.
Lu 22:5 And they were glad, and covenanted to give him money.
Lu 22:6 And he promised, and sought opportunity to betray him unto them in the absence of the multitude.
Joh 13:10 Jesus saith to him, He that is washed needeth not save to wash his feet, but is clean every whit: and ye are clean, but not all.
Joh 13:11 For he knew who should betray him; therefore said he, Ye are not all clean.
Joh 6:63 It is the spirit that quickeneth; the flesh profiteth nothing: the words that I speak unto you, they are spirit, and they are life.
Joh 6:64 But there are some of you that believe not. For Jesus knew from the beginning who they were that believed not, and who should betray him.
Joh 6:65 And he said, Therefore said I unto you, that no man can come unto me, except it were given unto him of my Father.