A3s
52.72%
Wins 30.65%, ties 44.15%
A2s
47.28%
Wins 25.20%, ties 44.15%
A3s against A2s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A3s | 30.650 | 44.145 | 25.205 | 52.722 |
| A2s | 25.205 | 44.145 | 30.650 | 47.278 |
Both hands are suited hands: A3s 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.
With only 5.44 points between them, the board decides this matchup far more than the cards in hand. Ties are 44.15% of the outcomes here; each tied board gives both hands half the pot.
The hand ranking puts A3s at 38 and A2s at 46 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A3s | 6,298,000 | 9,071,000 | 5,179,000 |
| A2s | 5,179,000 | 9,071,000 | 6,298,000 |
Exact total: 12 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) |
|---|---|---|---|---|
| A3s | 1.115 | 3.263 | 3.967 | 0.897 |
| A2s | 0.897 | 3.967 | 3.263 | 1.115 |
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
Break the boards down by their first three cards and A3s is strongest on low rainbow flops (nine high or lower) (56.08%) and weakest on paired flops (51.05%). A3s stays ahead on all five textures.
| Flop | Share of flops | A3s wins | Ties | A2s wins | A3s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.526 | 27.666 | 49.841 | 22.493 | 52.587 |
| Rainbow, nine or lower | 6.383 | 40.360 | 31.432 | 28.208 | 56.076 |
| Two-tone | 46.543 | 32.947 | 40.085 | 26.968 | 52.989 |
| Monotone | 5.215 | 36.976 | 30.944 | 32.080 | 52.448 |
| Paired | 17.333 | 23.226 | 55.637 | 21.137 | 51.045 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
Start from the random-hand figures, 58.22% for A3s and 57.38% for A2s. This opponent changes them by -5.50 and -10.10 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A3s, all flops | 52.722 | 58.220 | -5.498 | 0.90557 |
| A3s, rainbow, ten or higher | 52.587 | 58.220 | -5.633 | 0.90325 |
| A3s, rainbow, nine or lower | 56.076 | 58.220 | -2.144 | 0.96317 |
| A3s, two-tone | 52.989 | 58.220 | -5.231 | 0.91015 |
| A3s, monotone | 52.448 | 58.220 | -5.772 | 0.90086 |
| A3s, paired | 51.045 | 58.220 | -7.175 | 0.87676 |
| A2s, all flops | 47.278 | 57.379 | -10.101 | 0.82396 |
| A2s, rainbow, ten or higher | 47.413 | 57.379 | -9.966 | 0.82631 |
| A2s, rainbow, nine or lower | 43.924 | 57.379 | -13.455 | 0.76551 |
| A2s, two-tone | 47.011 | 57.379 | -10.368 | 0.81931 |
| A2s, monotone | 47.552 | 57.379 | -9.827 | 0.82874 |
| A2s, paired | 48.955 | 57.379 | -8.424 | 0.85319 |
Does a shared suit matter?
These two classes cannot share a suit in any legal deal, so there is only one row to read: A3s holds 52.72% in every deal of this matchup.
| Deals | Specific deals | Share of deals | A3s wins | Ties | A2s wins | A3s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 30.650 | 44.145 | 25.205 | 52.722 |
How often this matchup comes up
This page stands for 12 specific-card matchups (0.0007% of 1,624,350 ordered deals), or 24 once you count the seats both ways (0.0015%).
A worked example
Take a $200 pot built from $100 each. A3s' equity of 52.72% is worth $105.44, a $5.44 edge, and A2s' 47.28% is worth $94.56, which is $5.44 under its stake.
In 1,000 deals of exactly this matchup, expect about 307 won outright by A3s, about 252 won outright by A2s and about 441 split.
The same matchup from the other side
Read it from the other side: A2s against A3s is the same matchup with the numbers swapped, so A2s holds 47.28% and A3s holds 52.72%. That address sends you back to this page.
Keep exploring
As3s against Ah2h is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 12 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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