A9s
66.03%
Wins 58.85%, ties 14.35%
A2s
33.97%
Wins 26.80%, ties 14.35%
A9s against A2s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9s | 58.853 | 14.346 | 26.801 | 66.026 |
| A2s | 26.801 | 14.346 | 58.853 | 33.974 |
This is a contest between two suited hands, A9s and A2s. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
A lead of 32.06 points is large but not decisive: A2s still takes about 268 of every 1,000 deals. 14.35% of boards are ties, so the equity of each hand is its win rate plus half of that.
Ranked by equity against a random hand, A9s is number 18 of the 169 starting hands and A2s is number 46.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9s | 12,093,000 | 2,948,000 | 5,507,000 |
| A2s | 5,507,000 | 2,948,000 | 12,093,000 |
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) |
|---|---|---|---|---|
| A9s | 1.943 | 1.699 | 3.731 | 0.515 |
| A2s | 0.515 | 3.731 | 1.699 | 1.943 |
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, A9s' equity runs from 61.58% on monotone flops up to 69.17% on rainbow flops topped by a ten or better. A9s stays ahead on all five textures.
| Flop | Share of flops | A9s wins | Ties | A2s wins | A9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.526 | 62.228 | 13.878 | 23.894 | 69.167 |
| Rainbow, nine or lower | 6.383 | 64.234 | 3.554 | 32.212 | 66.011 |
| Two-tone | 46.543 | 60.853 | 10.545 | 28.602 | 66.126 |
| Monotone | 5.215 | 56.296 | 10.570 | 33.134 | 61.581 |
| Paired | 17.333 | 47.494 | 30.325 | 22.181 | 62.657 |
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
Relative to a random opponent, A9s changes by +3.25 points (baseline 62.78%) and A2s by -23.41 points (baseline 57.38%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9s, all flops | 66.026 | 62.781 | +3.245 | 1.05169 |
| A9s, rainbow, ten or higher | 69.167 | 62.781 | +6.386 | 1.10172 |
| A9s, rainbow, nine or lower | 66.011 | 62.781 | +3.230 | 1.05145 |
| A9s, two-tone | 66.126 | 62.781 | +3.345 | 1.05328 |
| A9s, monotone | 61.581 | 62.781 | -1.200 | 0.98089 |
| A9s, paired | 62.657 | 62.781 | -0.124 | 0.99802 |
| A2s, all flops | 33.974 | 57.379 | -23.405 | 0.59210 |
| A2s, rainbow, ten or higher | 30.833 | 57.379 | -26.546 | 0.53736 |
| A2s, rainbow, nine or lower | 33.989 | 57.379 | -23.390 | 0.59236 |
| A2s, two-tone | 33.874 | 57.379 | -23.505 | 0.59036 |
| A2s, monotone | 38.419 | 57.379 | -18.960 | 0.66957 |
| A2s, paired | 37.343 | 57.379 | -20.036 | 0.65081 |
Does a shared suit matter?
The hands cannot hold a suit in common here, which leaves a single case and a single number: 66.03% for A9s.
| Deals | Specific deals | Share of deals | A9s wins | Ties | A2s wins | A9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 58.853 | 14.346 | 26.801 | 66.026 |
How often this matchup comes up
The class pair covers 12 combinations of specific cards in a fixed seat order, 0.0007% of 1,624,350, and 24 (0.0015%) in either order.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. A9s is worth $132.06 on average (+$32.06); A2s is worth $67.94 (-$32.06).
Out of 1,000 deals you should see around 589 outright wins for A9s, 268 for A2s, and 143 split pots.
The same matchup from the other side
Read it from the other side: A2s against A9s is the same matchup with the numbers swapped, so A2s holds 33.97% and A9s holds 66.03%. That address sends you back to this page.
Keep exploring
Open the calculator with As9s against Ah2h 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 12 specific A9s 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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