AKs vs AKo ace-king suited against ace-king offsuit

Same ranks, suited against offsuit

Both hands make the same pairs and straights, so most boards split. The suited hand needs three more of its suit for a flush; the offsuit hand needs four more of one of its two suits, which is much rarer, so the suited hand is the one freerolling.

Suits do not change it

There are 24 ways to deal AKs against AKo without the two hands sharing a card, and they fall into 1 pattern once you ignore which suit is which. Every deal is the same problem with the suits relabelled, so there is only one number.

How each hand wins

The made hand the winner shows down with, as a share of all boards. AKs wins most often with flush (7.1% of boards); AKo with flush (2.2%). Splits happen when both hands play the same five cards or make the same hand, mostly pairs.

When calling with AKo is right

If you call an all-in of S with AKo and know you are up against exactly AKs, you win 47.51% of a pot that holds 2S plus whatever dead money D was already in the middle (blinds, antes, earlier bets). Calling breaks even when 47.51% × (2S + D) = S, so D ÷ S = 1 ÷ 0.4751 − 2 = 0.105. A 10 bb shove needs at least 1.0 bb of dead money before calling it with AKo stops losing chips. Nobody shows you their hand, though: against a real shove you are calling a range, and the push/fold charts already account for it.

Open this as a spot: AKo (dealt as A♦K♥, the most common suit pattern) facing a 10 bb all-in with 2.5 bb already in the middle, against a range of exactly AKs. The calculator samples runouts rather than dealing all of them, so expect its equity to land within a few tenths of a point of the exact figure for that deal. Change the pot, the bet or the range and it reprices.