AKo vs 72o ace-king offsuit against seven-two offsuit
All-in before the flop, ace-king offsuit wins 67.3% of boards, seven-two offsuit wins 32.2%, and 0.5% split the pot. AKo is a 2.08 to 1 favourite. These are not samples: the engine dealt every one of the 1,712,304 possible five-card boards for each of the 7 ways the suits can line up, and the working is below.
Equity counts a split pot as half a win for each side, which is why the two equities add to 100% and the two win rates do not.
Two higher cards against two lower cards
Neither hand is made. The higher cards win most boards where nothing happens, or where both hands pair one card. The lower hand wins when it pairs and the higher one does not, or makes a straight or flush, so suited and connected lower cards do noticeably better than their ranks suggest.
Suits change it by 1.13 points
There are 144 ways to deal AKo against 72o without the two hands sharing a card, and they fall into 7 patterns once you ignore which suit is which. Best case for AKo is 68.13% (for example A♣K♦ against 7♦2♣), worst is 67.00% (A♣K♦ against 7♥2♠). The headline number is the average over all 144, weighted by how many deals share each pattern.
| Example deal | Suits in common | Deals like it | AKo wins | Split | 72o wins | AKo equity |
|---|---|---|---|---|---|---|
| A♣K♦ vs 7♦2♣ | A–2, K–7 | 12 of 144 | 1,161,888 | 9,372 | 541,044 | 68.13% |
| A♣K♦ vs 7♣2♦ | A–7, K–2 | 12 of 144 | 1,161,846 | 9,379 | 541,079 | 68.13% |
| A♣K♦ vs 7♣2♥ | A–7 | 24 of 144 | 1,152,651 | 8,776 | 550,877 | 67.57% |
| A♣K♦ vs 7♦2♥ | K–7 | 24 of 144 | 1,152,643 | 8,776 | 550,885 | 67.57% |
| A♣K♦ vs 7♥2♣ | A–2 | 24 of 144 | 1,152,818 | 8,015 | 551,471 | 67.56% |
| A♣K♦ vs 7♥2♦ | K–2 | 24 of 144 | 1,152,768 | 8,022 | 551,514 | 67.56% |
| A♣K♦ vs 7♥2♠ | none | 24 of 144 | 1,143,573 | 7,419 | 561,312 | 67.00% |
Click any deal to run it in the equity calculator, which counts the same boards in your browser, or add a third hand, a flop or a dead card to it.
How each hand wins
The made hand the winner shows down with, as a share of all boards. AKo wins most often with pair (30.3% of boards); 72o with two pair (13.6%). Splits happen when both hands play the same five cards or make the same hand, mostly straights.
| Made hand | AKo wins with it | 72o wins with it | Split with it |
|---|---|---|---|
| High card | 5.18% | 0.00% | – |
| Pair | 30.34% | 9.64% | – |
| Two pair | 20.38% | 13.63% | – |
| Three of a kind | 4.04% | 3.11% | – |
| Straight | 3.19% | 2.56% | 0.28% |
| Flush | 1.80% | 1.04% | 0.10% |
| Full house | 2.24% | 2.07% | 0.11% |
| Four of a kind | 0.14% | 0.12% | 0.00% |
| Straight flush | 0.01% | 0.02% | 0.00% |
| Total | 67.32% | 32.19% | 0.49% |
When calling with 72o is right
If you call an all-in of S with 72o and know you are up against exactly AKo, you win 32.44% of a pot that holds 2S plus whatever dead money D was already in the middle (blinds, antes, earlier bets). Calling breaks even when 32.44% × (2S + D) = S, so D ÷ S = 1 ÷ 0.3244 − 2 = 1.083. A 10 bb shove needs at least 10.8 bb of dead money before calling it with 72o 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: 72o (dealt as 7♣2♥, the most common suit pattern) facing a 10 bb all-in with 2.5 bb already in the middle, against a range of exactly AKo. 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.
Each hand has its own page with its equity against all 169 starting hands and its push/fold range at every stack depth.
More with AKo or 72o
Other overs vs unders matchups
| Matchup | First hand | Split | Second hand | Equity bar |
|---|---|---|---|---|
| AKo vs QJs | 61.1% | 0.5% | 38.9% | |
| AKo vs JTs | 59.5% | 0.5% | 40.5% | |
| AKo vs T9s | 59.5% | 0.4% | 40.5% | |
| AKo vs 87s | 58.8% | 0.4% | 41.2% | |
| AQo vs JTs | 59.7% | 0.5% | 40.3% | |
| KQo vs JTs | 60.9% | 0.7% | 39.1% |
- Exhaustive, not sampled. With four cards dealt, 48 remain, and there are C(48, 5) = 1,712,304 five-card boards. For each suit pattern our Rust engine (the same WebAssembly file the trainer runs) evaluated both seven-card hands on every board and counted wins, splits and losses. The board counts in the suit table are exact; anyone with an enumerator can reproduce them digit for digit.
- Suit patterns. Two deals are the same pattern when one becomes the other by renaming suits (clubs to hearts, say), which cannot change who wins. Each pattern is enumerated once and weighted by how many of the 144 deals it stands for.
- Cross-check. The site's independent Monte Carlo matrix (200,000 random boards per matchup, used on the starting-hand pages) has AKo at 67.51% here, 0.06 points from the exact figure. The build fails if any matchup disagrees by more than 0.4 points.
- All-in preflop only. This is the equity when the money goes in before the flop and five cards are dealt with no more decisions. It says nothing about how the hands play when there is betting left.
- Raw data: ako-vs-72o.json and the summary matchups.json, built by
tools/build-matchups.mjs.