AJs
69.70%
Wins 65.99%, ties 7.44%
A2s
30.30%
Wins 26.57%, ties 7.44%
AJs against A2s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJs | 65.985 | 7.436 | 26.579 | 69.703 |
| A2s | 26.579 | 7.436 | 65.985 | 30.297 |
Here suited hands face each other, AJs on one side and A2s on the other. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
That is a clear edge, 69.70% to 30.30%, but A2s still wins often enough that one hand proves nothing. 7.44% of boards are ties, so the equity of each hand is its win rate plus half of that.
Among the 169 starting hands, AJs is number 11 and A2s is number 46 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJs | 13,558,000 | 1,528,000 | 5,461,000 |
| A2s | 5,461,000 | 1,528,000 | 13,558,000 |
The board total is exact, 12 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) |
|---|---|---|---|---|
| AJs | 2.301 | 1.515 | 3.762 | 0.435 |
| A2s | 0.435 | 3.762 | 1.515 | 2.301 |
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
By flop texture, AJs' equity runs from 58.17% on low rainbow flops (nine high or lower) up to 76.10% on rainbow flops topped by a ten or better. AJs 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 | AJs wins | Ties | A2s wins | AJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 73.320 | 5.568 | 21.112 | 76.104 |
| Rainbow, nine or lower | 7.042 | 55.986 | 4.361 | 39.653 | 58.167 |
| Two-tone | 46.543 | 66.811 | 4.827 | 28.362 | 69.225 |
| Monotone | 5.215 | 60.586 | 6.456 | 32.958 | 63.814 |
| Paired | 17.333 | 59.357 | 18.555 | 22.088 | 68.634 |
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, 65.39% for AJs and 57.38% for A2s. This opponent changes them by +4.31 and -27.08 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJs, all flops | 69.703 | 65.393 | +4.310 | 1.06591 |
| AJs, rainbow, ten or higher | 76.104 | 65.393 | +10.711 | 1.16379 |
| AJs, rainbow, nine or lower | 58.167 | 65.393 | -7.226 | 0.88950 |
| AJs, two-tone | 69.225 | 65.393 | +3.832 | 1.05860 |
| AJs, monotone | 63.814 | 65.393 | -1.579 | 0.97585 |
| AJs, paired | 68.634 | 65.393 | +3.241 | 1.04956 |
| A2s, all flops | 30.297 | 57.379 | -27.082 | 0.52802 |
| A2s, rainbow, ten or higher | 23.896 | 57.379 | -33.483 | 0.41646 |
| A2s, rainbow, nine or lower | 41.833 | 57.379 | -15.546 | 0.72906 |
| A2s, two-tone | 30.775 | 57.379 | -26.604 | 0.53635 |
| A2s, monotone | 36.186 | 57.379 | -21.193 | 0.63065 |
| A2s, paired | 31.366 | 57.379 | -26.013 | 0.54665 |
Does a shared suit matter?
Suits do not split this matchup, because no legal deal has the hands holding the same suit.
| Deals | Specific deals | Share of deals | AJs wins | Ties | A2s wins | AJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 65.985 | 7.436 | 26.579 | 69.703 |
How often this matchup comes up
Counting specific cards, AJs against A2s appears in 12 of the 1,624,350 ordered heads-up deals (0.0007%), and in 24 when the seats are swapped too (0.0015%).
A worked example
With $100 from each side, the $200 pot is split on average as $139.40 for AJs and $60.60 for A2s; the first side gains $39.40 per all-in and the second gives up $39.40.
Over a long run, 1,000 deals split into about 660 for AJs, 266 for A2s and 74 tied.
The same matchup from the other side
The mirror image, A2s against AJs, is 30.30% to 69.70%, and its address redirects to this page.
Keep exploring
Try AsJs against Ah2h 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
Nothing here is simulated. The 12 deals of AJs against A2s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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