When God gives to a man a heart to see, hear and believe, a heart of flesh, in other words, replacing the dead heart of stone, the man responds by faith. In other words, he indeed chooses Christ, but only after Christ first chose Him.
Joh_15:16 Ye have not chosen me, but I have chosen you, and ordained you, that ye should go and bring forth fruit, and that your fruit should remain: that whatsoever ye shall ask of the Father in my name, he may give it you.
Who is the ye and you?
Back up to John chapter 13 and continue reading and you'll find that it is the disciples, who were sitting at the Passover table.
HE did, indeed, CHOOSE them.
“So he went and hired himself out to one of the citizens of that country, who sent him into his fields to feed pigs. 16 And he was longing to be fed with the pods that the pigs ate, and no one gave him anything.
17 “But when he came to himself, he said, ‘How many of my father’s hired servants have more than enough bread, but I perish here with hunger! 18 I will arise and go to my father, and I will say to him, “Father, I have sinned against heaven and before you.”
But when he came to himself, he said...
“The Spirit of the Lord is upon me, because he has anointed me to proclaim good news to the poor. He has sent me to proclaim liberty to the captives and recovering of sight to the blind, to set at liberty those who are oppressed...”
“But Jesus on hearing this answered him, “Do not fear; only believe, and she will be well.”
“Jesus turned, and seeing her he said, “Take heart, daughter; your faith has made you well.” And instantly the woman was made well.”