How could JESUS, our LORD AND SAVIOR, not have know Judas was NEVER saved???
Of course there is no way He could NOT have known. As God, He is omniscient. Further, He actually said that Judas was "not clean", meaning, obviously that he wasn't saved. John 13:6-11
6 He came to Simon Peter, who said to him, “Lord, are you going to wash my feet?”
7 Jesus replied, “You do not realize now what I am doing, but later you will understand.”
8“No,” said Peter, “you shall never wash my feet.” Jesus answered, “Unless I wash you, you have no part with me.”
9 “Then, Lord,” Simon Peter replied, “not just my feet but my hands and my head as well!”
10 Jesus answered, “Those who have had a bath need only to wash their feet; their whole body is clean. And you are clean, though not every one of you.”
11For he knew who was going to betray him, and that was why he said not every one was clean.
Why would Jesus have annointed him and sent him out with the other 11 if he wasn't saved?
Did Jesus make a mistake??
The Bible doesn't tell us why He commissioned him along with the saved 11, who believed that He was the Messiah.
But we all can be assurred that Jesus never made a mistake. He knew all along that Judas was the one who would betray Him, as indicated by His very words in John 6:64-71
64 Yet there are some of you who do not believe.” For Jesus had known from the beginning which of them did not believe and who would betray him.
65 He went on to say, “This is why I told you that no one can come to me unless the Father has enabled them.”
66 From this time many of his disciples turned back and no longer followed him.
67 “You do not want to leave too, do you?” Jesus asked the Twelve.
68 Simon Peter answered him, “Lord, to whom shall we go? You have the words of eternal life.
69 We have come to believe and to know that you are the Holy One of God.”
70 Then Jesus replied, “Have I not chosen you, the Twelve? Yet one of you is a devil!”
71 (He meant Judas, the son of Simon Iscariot, who, though one of the Twelve, was later to betray him.)