I want to remember Paul's origins. He was a Pharisee Jew who abided by strict law. When he learned about "The Way", he began going off and persecuting Christian because he believed they were blaspheming against God. Then, he was converted to Christianity by a miraculous event that happened to him on his way to Jerusalem. I find it this a great "turn-around" story, and it is something to definitely remember about him.
I think that the early founders of the church didn't believe in luck because they cast lots to see who was their new twelfth apostle thinking that it would have been God's will or destiny that whoever won was to become the new apostle. I find it strange, yet good in a way, that they would decide to have the top decisions "gamble" for the position. I am slightly comforted by this, though, because it shows that they gave them both a fair chance.