Which Comes First, Faith or Miracle? - Mark 8:11-13

The Pharisees came to Jesus asking Him for a sign from heaven to prove that He was the Son of God. Would another sign finally convince them that Jesus was the Messiah? Apparently all the miracles that Jesus had already performed--healing the sick, driving out demons, walking on water, raising the dead--were not signs enough for them. Probably, another sign would not convince them to believe in Jesus because they already had their minds made up. Anyway, when you study the miracles of Jesus, you see that miracles don't necessarily lead one to have faith. You have faith first and then the miracle occurs. So it's not the miracles that God performs in our lives that make us believe in Him, but because we believe He will do miraculous things. So, would another sign convince the Pharisees? No, because almost always the belief precedes the miracle?