Ray77 your possibilites are wrong, you can't win the division by 1/2 a game because everyone is suppose to play 162 games.
We all know that Chicago and Detroit got rained out a few weeks back, so the Sox have played one less game than the Twins and that game COULD be the deciding factor on who wins the division.
1. Twins win tomorrow (88-74) and Sox win (87-74) = Sox vs. Tigers (Sox win, 1 game playoff against the Twins) (Sox lose to the Tigers, Twins win division)
2. Twins win tomorrow (88-74) and Sox lose (86-75 = Twins are the division Champs
3. Twins lose (87-75) and Sox win (87-74) = Sox lead division by 1/2 game and still play detroit. (Sox beat Detroit, they are division champs) (Sox lose to Tigers, 1 game playoff against Twins)
4. Twins lose (87-75) and Sox lose (86-75) = Sox go to Detroit to play the makeup game. Sox lose that game, Twins are division champs. Sox win that game, Twins go to Chicago for 1 game playoff.
This is an actual breakdown of what can happen, I included the records to go along with each of my explainations. This is just like last year with the Rockies and the Padres, each team had to play an extra game to see who was going to be the wild card winner.