AA
87.89%
Wins 87.24%, ties 1.31%
A2s
12.11%
Wins 11.45%, ties 1.31%
AA against A2s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AA | 87.239 | 1.308 | 11.453 | 87.893 |
| A2s | 11.453 | 1.308 | 87.239 | 12.107 |
The first hand is a pocket pair; the second is a suited hand. The non-pair hand shares a rank with the pair, so two of its outs for pairing are blocked by the pair itself.
This is one of the lopsided matchups: A2s wins only 11.45% of the boards outright. 1.31% of boards are ties, so the equity of each hand is its win rate plus half of that.
By strength against a random hand, AA holds place 1 of 169 and A2s holds place 46.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AA | 17,926,000 | 269,000 | 2,353,000 |
| A2s | 2,353,000 | 269,000 | 17,926,000 |
The total is exact: 12 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AA | 7.260 | 1.146 | 8.731 | 0.138 |
| A2s | 0.138 | 8.731 | 1.146 | 7.260 |
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, AA peaks at 92.84% on rainbow flops topped by a ten or better and bottoms out at 77.68% on monotone flops. AA stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | AA wins | Ties | A2s wins | AA equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.740 | 92.233 | 1.220 | 6.547 | 92.843 |
| Rainbow, nine or lower | 7.042 | 85.796 | 2.615 | 11.589 | 87.103 |
| Two-tone | 46.236 | 85.789 | 1.387 | 12.824 | 86.483 |
| Monotone | 5.151 | 76.490 | 2.376 | 21.134 | 77.678 |
| Paired | 17.831 | 88.027 | 0.393 | 11.580 | 88.223 |
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 AA from 85.20% by +2.69 points and A2s from 57.38% by -45.27 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AA, all flops | 87.893 | 85.204 | +2.689 | 1.03156 |
| AA, rainbow, ten or higher | 92.843 | 85.204 | +7.639 | 1.08966 |
| AA, rainbow, nine or lower | 87.103 | 85.204 | +1.899 | 1.02229 |
| AA, two-tone | 86.483 | 85.204 | +1.279 | 1.01501 |
| AA, monotone | 77.678 | 85.204 | -7.526 | 0.91167 |
| AA, paired | 88.223 | 85.204 | +3.019 | 1.03543 |
| A2s, all flops | 12.107 | 57.379 | -45.272 | 0.21100 |
| A2s, rainbow, ten or higher | 7.157 | 57.379 | -50.222 | 0.12473 |
| A2s, rainbow, nine or lower | 12.897 | 57.379 | -44.482 | 0.22477 |
| A2s, two-tone | 13.517 | 57.379 | -43.862 | 0.23557 |
| A2s, monotone | 22.322 | 57.379 | -35.057 | 0.38903 |
| A2s, paired | 11.777 | 57.379 | -45.602 | 0.20525 |
Does a shared suit matter?
There is no shared-suit case for this pair, since the cards they would need are already in the other hand. Every deal is a no-shared-suit deal.
| Deals | Specific deals | Share of deals | AA wins | Ties | A2s wins | AA equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 87.239 | 1.308 | 11.453 | 87.893 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 12 are AA in one seat and A2s in the other (0.0007%); with the seats swapped too, 24 (0.0015%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. AA is worth $175.78 on average (+$75.78); A2s is worth $24.22 (-$75.78).
In 1,000 deals of exactly this matchup, expect about 872 won outright by AA, about 115 won outright by A2s and about 13 split.
The same matchup from the other side
The reversed view, A2s against AA, shows 12.11% for A2s and 87.89% for AA. It is the same count, so it redirects here.
Keep exploring
Try AsAh against Ad2d in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
We counted every case. Each suit pattern of the 12 specific AA against A2s 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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