At this point, the Tigers have a far better chance to win the AL Central than to capture a Wild Card spot.
Though there's still a slight chance they could overtake the AL East combatants (Yankees/Orioles) to earn the AL's second seed, it's looking much more likely that the Tigers would have the third seed if they win the Central. If that ends up being the case, the schedule would have them hosting Games 1 and 2 of the ALDS on Saturday and Sunday, Oct. 6-7. This year's postseason schedule calls for the lower-seeded team to host the first two games before the higher-seeded team hosts the rest of the best-of-five series.
More details, including the refund/credit policy, are available at tigers.com/postseason.