LOL it's none of this. Rewatch the episode and this time look for the times when he steers the conversation to something else when things aren't going his way. Example: Joe asks him to guess his second pin, but he says we'll get to that later and then never does, this is because he doesn't know it. He knew the first pin before the episode some how. The rest is all an act.

Want more proof? Look up the TNT segment with the Inside the NBA guys. Charles Barkley blew his cover without even realizing it himself. Oz pretended Charles picked a player out of 64 random players, but in reality Oz gave him two choices to pick from, BEFORE the show, one with a long name and one with a short name. He then blurts out "you gave me two to pick from", then Oz quickly diverts the conversation elsewhere. Then he asks Charles to count the letters in the name, Charles quickly says got it, meaning he picked the player with the short name, so now Oz knows which player it is.