ATs
50.86%
Wins 50.55%, ties 0.62%
22
49.14%
Wins 48.83%, ties 0.62%
ATs against 22: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATs | 50.548 | 0.618 | 48.834 | 50.857 |
| 22 | 48.834 | 0.618 | 50.548 | 49.143 |
ATs, a suited hand, plays 22, a pocket pair. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.
That is a slim edge: neither hand is far ahead. A split pot comes up on 0.62% of boards, so the wins and the equity differ by half of that.
By strength against a random hand, ATs holds place 13 of 169 and 22 holds place 87.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATs | 20,773,000 | 254,000 | 20,068,000 |
| 22 | 20,068,000 | 254,000 | 20,773,000 |
24 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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) |
|---|---|---|---|---|
| ATs | 1.035 | 1.978 | 2.048 | 0.966 |
| 22 | 0.966 | 2.048 | 1.978 | 1.035 |
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, ATs' equity runs from 26.43% on low rainbow flops (nine high or lower) up to 55.37% on rainbow flops topped by a ten or better. The lead reverses on low rainbow flops (nine high or lower): there 22 is the favorite even though ATs is ahead overall.
| Flop | Share of flops | ATs wins | Ties | 22 wins | ATs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 55.247 | 0.235 | 44.518 | 55.365 |
| Rainbow, nine or lower | 6.314 | 25.912 | 1.033 | 73.055 | 26.429 |
| Two-tone | 46.545 | 51.386 | 0.366 | 48.248 | 51.569 |
| Monotone | 5.212 | 48.798 | 3.737 | 47.465 | 50.666 |
| Paired | 17.334 | 51.129 | 0.750 | 48.121 | 51.504 |
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
How much does the opponent matter? Compared with its random-hand 64.60%, ATs changes by -13.74 points, and 22, from 50.33%, by -1.19.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATs, all flops | 50.857 | 64.602 | -13.745 | 0.78724 |
| ATs, rainbow, ten or higher | 55.365 | 64.602 | -9.237 | 0.85702 |
| ATs, rainbow, nine or lower | 26.429 | 64.602 | -38.173 | 0.40910 |
| ATs, two-tone | 51.569 | 64.602 | -13.033 | 0.79826 |
| ATs, monotone | 50.666 | 64.602 | -13.936 | 0.78428 |
| ATs, paired | 51.504 | 64.602 | -13.098 | 0.79725 |
| 22, all flops | 49.143 | 50.334 | -1.191 | 0.97634 |
| 22, rainbow, ten or higher | 44.635 | 50.334 | -5.699 | 0.88678 |
| 22, rainbow, nine or lower | 73.571 | 50.334 | +23.237 | 1.46166 |
| 22, two-tone | 48.431 | 50.334 | -1.903 | 0.96219 |
| 22, monotone | 49.334 | 50.334 | -1.000 | 0.98013 |
| 22, paired | 48.496 | 50.334 | -1.838 | 0.96348 |
Does a shared suit matter?
Two kinds of deal exist here. In 12 of them the hands share a suit and ATs holds 50.68%. In 12 they do not, and it holds 51.04%. ATs does better with no shared suit, by 0.36 points.
| Deals | Specific deals | Share of deals | ATs wins | Ties | 22 wins | ATs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 50.358 | 0.638 | 49.004 | 50.677 |
| No shared suit | 12 | 50.00 | 50.737 | 0.599 | 48.664 | 51.036 |
How often this matchup comes up
You will meet this exact matchup 0.0030% of the time in a random heads-up deal: 48 of 1,624,350, counting either seat order.
A worked example
Put $100 each into a $200 pot and deal every board once: ATs averages $101.72 back, ahead of its $100 by $1.72, while 22 averages $98.28, short of its $100 by $1.72.
Over a long run, 1,000 deals split into about 506 for ATs, 488 for 22 and 6 tied.
The same matchup from the other side
Read it from the other side: 22 against ATs is the same matchup with the numbers swapped, so 22 holds 49.14% and ATs holds 50.86%. That address sends you back to this page.
Keep exploring
Try AsTs 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
This is an exact count with no sampling. For the 24 ways to deal one ATs and one 22 without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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