AKo
47.35%
Wins 47.04%, ties 0.62%
22
52.65%
Wins 52.34%, ties 0.62%
AKo against 22: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 47.042 | 0.617 | 52.341 | 47.351 |
| 22 | 52.341 | 0.617 | 47.042 | 52.649 |
The first hand is an offsuit hand; the second is a pocket pair. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
That is a slim edge: neither hand is far ahead. A split pot comes up on 0.62% of boards, so the wins and the equity differ by half of that.
Place 12 of 169 belongs to AKo and place 87 belongs to 22 in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 57,996,000 | 761,000 | 64,529,000 |
| 22 | 64,529,000 | 761,000 | 57,996,000 |
Exact total: 72 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AKo | 0.899 | 2.126 | 1.911 | 1.112 |
| 22 | 1.112 | 1.911 | 2.126 | 0.899 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
By flop texture, 22's equity runs from 46.96% on rainbow flops topped by a ten or better up to 78.65% on low rainbow flops (nine high or lower). Watch for rainbow flops topped by a ten or better and monotone flops: on those flops AKo holds the better equity.
| Flop | Share of flops | AKo wins | Ties | 22 wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 52.937 | 0.208 | 46.855 | 53.041 |
| Rainbow, nine or lower | 6.314 | 20.613 | 1.474 | 77.913 | 21.350 |
| Two-tone | 46.485 | 46.717 | 0.445 | 52.838 | 46.939 |
| Monotone | 5.151 | 48.692 | 2.669 | 48.639 | 50.026 |
| Paired | 17.333 | 48.648 | 0.738 | 50.614 | 49.017 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Compared with a random opponent, this matchup shifts AKo from 65.32% by -17.97 points and 22 from 50.33% by +2.32 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 47.351 | 65.320 | -17.969 | 0.72491 |
| AKo, rainbow, ten or higher | 53.041 | 65.320 | -12.279 | 0.81202 |
| AKo, rainbow, nine or lower | 21.350 | 65.320 | -43.970 | 0.32685 |
| AKo, two-tone | 46.939 | 65.320 | -18.381 | 0.71860 |
| AKo, monotone | 50.026 | 65.320 | -15.294 | 0.76586 |
| AKo, paired | 49.017 | 65.320 | -16.303 | 0.75041 |
| 22, all flops | 52.649 | 50.334 | +2.315 | 1.04599 |
| 22, rainbow, ten or higher | 46.959 | 50.334 | -3.375 | 0.93295 |
| 22, rainbow, nine or lower | 78.650 | 50.334 | +28.316 | 1.56256 |
| 22, two-tone | 53.061 | 50.334 | +2.727 | 1.05418 |
| 22, monotone | 49.974 | 50.334 | -0.360 | 0.99285 |
| 22, paired | 50.983 | 50.334 | +0.649 | 1.01289 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, 22 has 52.57%; looking only at deals where they do not, 53.04%. 22 does better with no shared suit, by 0.47 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | 22 wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 47.117 | 0.624 | 52.259 | 47.429 |
| No shared suit | 12 | 16.67 | 46.669 | 0.581 | 52.750 | 46.960 |
How often this matchup comes up
Exactly 72 specific deals fit this matchup in one seat order, which is 0.0044% of 1,624,350; both orders together give 144, or 0.0089%.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says 22 gets $105.30 of it on average and AKo gets $94.70.
In 1,000 deals of exactly this matchup, expect about 523 won outright by 22, about 471 won outright by AKo and about 6 split.
The same matchup from the other side
Swap the hands and you get 22 with 52.65% against AKo with 47.35%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
AsKh against 2d2c is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 72 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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