A2s
37.96%
Wins 37.18%, ties 1.58%
22
62.04%
Wins 61.24%, ties 1.58%
A2s against 22: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A2s | 37.176 | 1.576 | 61.248 | 37.964 |
| 22 | 61.248 | 1.576 | 37.176 | 62.036 |
We compare a suited hand with a pocket pair. One hand holds a card of the same rank as the pair, which removes a card the pair needs and makes the pair a bigger favorite.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Ties are 1.58% of the outcomes here; each tied board gives both hands half the pot.
A2s ranks number 46 of 169 starting hands, and 22 ranks number 87, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A2s | 7,639,000 | 324,000 | 12,585,000 |
| 22 | 12,585,000 | 324,000 | 7,639,000 |
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) |
|---|---|---|---|---|
| A2s | 0.612 | 2.690 | 1.633 | 1.634 |
| 22 | 1.634 | 1.633 | 2.690 | 0.612 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
The flop changes the picture. 22 does best on low rainbow flops (nine high or lower), at 76.69%, and worst on paired flops, at 58.52%. 22 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 | A2s wins | Ties | 22 wins | A2s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.197 | 37.045 | 0.952 | 62.003 | 37.521 |
| Rainbow, nine or lower | 5.585 | 21.307 | 4.008 | 74.685 | 23.311 |
| Two-tone | 46.236 | 37.607 | 1.363 | 61.030 | 38.288 |
| Monotone | 5.151 | 38.865 | 4.124 | 57.011 | 40.927 |
| Paired | 17.831 | 40.728 | 1.513 | 57.759 | 41.485 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Start from the random-hand figures, 57.38% for A2s and 50.33% for 22. This opponent changes them by -19.42 and +11.71 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A2s, all flops | 37.964 | 57.379 | -19.415 | 0.66164 |
| A2s, rainbow, ten or higher | 37.521 | 57.379 | -19.858 | 0.65392 |
| A2s, rainbow, nine or lower | 23.311 | 57.379 | -34.068 | 0.40626 |
| A2s, two-tone | 38.288 | 57.379 | -19.091 | 0.66728 |
| A2s, monotone | 40.927 | 57.379 | -16.452 | 0.71327 |
| A2s, paired | 41.485 | 57.379 | -15.894 | 0.72300 |
| 22, all flops | 62.036 | 50.334 | +11.702 | 1.23249 |
| 22, rainbow, ten or higher | 62.479 | 50.334 | +12.145 | 1.24129 |
| 22, rainbow, nine or lower | 76.689 | 50.334 | +26.355 | 1.52360 |
| 22, two-tone | 61.712 | 50.334 | +11.378 | 1.22605 |
| 22, monotone | 59.073 | 50.334 | +8.739 | 1.17362 |
| 22, paired | 58.515 | 50.334 | +8.181 | 1.16253 |
Does a shared suit matter?
Every legal deal of A2s against 22 leaves the hands with no suit in common, so the suit split does not apply here.
| Deals | Specific deals | Share of deals | A2s wins | Ties | 22 wins | A2s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 37.176 | 1.576 | 61.248 | 37.964 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 12 are A2s in one seat and 22 in the other (0.0007%); with the seats swapped too, 24 (0.0015%).
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. 22 averages $124.08 from the $200, up $24.08; A2s averages $75.92, down $24.08.
Think in thousands: about 612 of 1,000 go to 22, about 372 go to A2s, and about 16 are chopped.
The same matchup from the other side
The reversed view, 22 against A2s, shows 62.04% for 22 and 37.96% for A2s. It is the same count, so it redirects here.
Keep exploring
Try As2s against 2h2d 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
Method: exact enumeration. The 12 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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