AKs
49.89%
Wins 49.57%, ties 0.65%
22
50.11%
Wins 49.78%, ties 0.65%
AKs against 22: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKs | 49.569 | 0.649 | 49.782 | 49.893 |
| 22 | 49.782 | 0.649 | 49.569 | 50.107 |
One side is a suited hand, the other is a pocket pair. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.
With only 0.22 points between them, the board decides this matchup far more than the cards in hand. A split pot comes up on 0.65% of boards, so the wins and the equity differ by half of that.
By strength against a random hand, AKs holds place 8 of 169 and 22 holds place 87.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKs | 20,371,000 | 267,000 | 20,458,000 |
| 22 | 20,458,000 | 267,000 | 20,371,000 |
The board total is exact, 24 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AKs | 0.996 | 2.017 | 2.009 | 1.004 |
| 22 | 1.004 | 2.009 | 2.017 | 0.996 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Across the five flop textures 22's equity moves by 30.49 points, from 45.50% on rainbow flops topped by a ten or better to 75.99% on low rainbow flops (nine high or lower). On rainbow flops topped by a ten or better, two-tone flops and paired flops the numbers flip and AKs is the one ahead.
| Flop | Share of flops | AKs wins | Ties | 22 wins | AKs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 54.404 | 0.199 | 45.397 | 54.504 |
| Rainbow, nine or lower | 6.314 | 23.311 | 1.407 | 75.282 | 24.015 |
| Two-tone | 46.545 | 50.313 | 0.403 | 49.284 | 50.515 |
| Monotone | 5.212 | 48.079 | 3.755 | 48.166 | 49.957 |
| Paired | 17.334 | 50.720 | 0.738 | 48.542 | 51.089 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Start from the random-hand figures, 67.05% for AKs and 50.33% for 22. This opponent changes them by -17.16 and -0.22 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKs, all flops | 49.893 | 67.045 | -17.152 | 0.74417 |
| AKs, rainbow, ten or higher | 54.504 | 67.045 | -12.541 | 0.81295 |
| AKs, rainbow, nine or lower | 24.015 | 67.045 | -43.030 | 0.35819 |
| AKs, two-tone | 50.515 | 67.045 | -16.530 | 0.75345 |
| AKs, monotone | 49.957 | 67.045 | -17.088 | 0.74513 |
| AKs, paired | 51.089 | 67.045 | -15.956 | 0.76201 |
| 22, all flops | 50.107 | 50.334 | -0.227 | 0.99549 |
| 22, rainbow, ten or higher | 45.496 | 50.334 | -4.838 | 0.90388 |
| 22, rainbow, nine or lower | 75.985 | 50.334 | +25.651 | 1.50962 |
| 22, two-tone | 49.485 | 50.334 | -0.849 | 0.98313 |
| 22, monotone | 50.043 | 50.334 | -0.291 | 0.99422 |
| 22, paired | 48.911 | 50.334 | -1.423 | 0.97173 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common 22 has 50.30% equity, and with none in common it has 49.92%. 22 does better with a shared suit, by 0.38 points.
| Deals | Specific deals | Share of deals | AKs wins | Ties | 22 wins | AKs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 49.368 | 0.669 | 49.963 | 49.702 |
| No shared suit | 12 | 50.00 | 49.770 | 0.629 | 49.601 | 50.084 |
How often this matchup comes up
You will meet this exact matchup 0.0030% of the time in a random heads-up deal: 48 of 1,624,350, counting either seat order.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. 22 is worth $100.22 on average (+$0.22); AKs is worth $99.78 (-$0.22).
Over a long run, 1,000 deals split into about 498 for 22, 496 for AKs and 6 tied.
The same matchup from the other side
Read it from the other side: 22 against AKs is the same matchup with the numbers swapped, so 22 holds 50.11% and AKs holds 49.89%. That address sends you back to this page.
Keep exploring
Open the calculator with AsKs against 2h2d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 24 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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