A8s
50.02%
Wins 49.72%, ties 0.61%
22
49.98%
Wins 49.67%, ties 0.61%
A8s against 22: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A8s | 49.720 | 0.607 | 49.673 | 50.024 |
| 22 | 49.673 | 0.607 | 49.720 | 49.976 |
A8s is a suited hand and 22 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.
The split is even enough that who is called the favorite depends on the fourth decimal. 0.61% of boards are ties, so the equity of each hand is its win rate plus half of that.
By strength against a random hand, A8s holds place 21 of 169 and 22 holds place 87.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A8s | 20,433,000 | 249,000 | 20,413,000 |
| 22 | 20,413,000 | 249,000 | 20,433,000 |
Exact total: 24 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) |
|---|---|---|---|---|
| A8s | 1.001 | 2.011 | 2.013 | 0.999 |
| 22 | 0.999 | 2.013 | 2.011 | 1.001 |
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
Split by what the flop looks like, A8s peaks at 50.94% on paired flops and bottoms out at 44.04% on low rainbow flops (nine high or lower). A8s is the favorite overall but falls behind on rainbow flops topped by a ten or better and low rainbow flops (nine high or lower).
| Flop | Share of flops | A8s wins | Ties | 22 wins | A8s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 49.374 | 0.247 | 50.379 | 49.498 |
| Rainbow, nine or lower | 5.689 | 43.559 | 0.966 | 55.475 | 44.042 |
| Two-tone | 46.545 | 50.522 | 0.352 | 49.126 | 50.698 |
| Monotone | 5.212 | 48.186 | 3.730 | 48.084 | 50.051 |
| Paired | 17.334 | 50.556 | 0.758 | 48.686 | 50.935 |
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 A8s from 61.94% by -11.92 points and 22 from 50.33% by -0.35 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A8s, all flops | 50.024 | 61.944 | -11.920 | 0.80757 |
| A8s, rainbow, ten or higher | 49.498 | 61.944 | -12.446 | 0.79908 |
| A8s, rainbow, nine or lower | 44.042 | 61.944 | -17.902 | 0.71100 |
| A8s, two-tone | 50.698 | 61.944 | -11.246 | 0.81845 |
| A8s, monotone | 50.051 | 61.944 | -11.893 | 0.80800 |
| A8s, paired | 50.935 | 61.944 | -11.009 | 0.82227 |
| 22, all flops | 49.976 | 50.334 | -0.358 | 0.99289 |
| 22, rainbow, ten or higher | 50.502 | 50.334 | +0.168 | 1.00334 |
| 22, rainbow, nine or lower | 55.958 | 50.334 | +5.624 | 1.11173 |
| 22, two-tone | 49.302 | 50.334 | -1.032 | 0.97950 |
| 22, monotone | 49.949 | 50.334 | -0.385 | 0.99235 |
| 22, paired | 49.065 | 50.334 | -1.269 | 0.97479 |
Does a shared suit matter?
Does suit overlap move the numbers? A8s has 49.83% when the hands share a suit and 50.22% when they do not. A8s does better with no shared suit, by 0.39 points.
| Deals | Specific deals | Share of deals | A8s wins | Ties | 22 wins | A8s equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 49.518 | 0.627 | 49.855 | 49.832 |
| No shared suit | 12 | 50.00 | 49.923 | 0.587 | 49.490 | 50.216 |
How often this matchup comes up
A8s against 22 is made up of 24 specific-card matchups in one seat order, 0.0015% of the 1,624,350 ordered deals, and 48 counting both seat orders, 0.0030%.
A worked example
With $100 from each side, the $200 pot is split on average as $100.04 for A8s and $99.96 for 22; the first side gains $0.04 per all-in and the second gives up $0.04.
Run 1,000 deals and the tally comes out near 497 for A8s, 497 for 22 and 6 ties.
The same matchup from the other side
Read it from the other side: 22 against A8s is the same matchup with the numbers swapped, so 22 holds 49.98% and A8s holds 50.02%. That address sends you back to this page.
Keep exploring
Open the calculator with As8s 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
We counted every case. Each suit pattern of the 24 specific A8s against 22 deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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