AJs
50.54%
Wins 50.22%, ties 0.63%
22
49.46%
Wins 49.15%, ties 0.63%
AJs against 22: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJs | 50.221 | 0.629 | 49.150 | 50.536 |
| 22 | 49.150 | 0.629 | 50.221 | 49.464 |
We compare a suited hand with 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.
AJs leads by less than 2 points of equity, so the result of any one deal is close to a toss-up. Of every 100 boards, about 0.63 are split pots, and the equity figures already include them.
Ranked by equity against a random hand, AJs is number 11 of the 169 starting hands and 22 is number 87.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJs | 20,638,000 | 258,000 | 20,198,000 |
| 22 | 20,198,000 | 258,000 | 20,638,000 |
Exact total: 24 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) |
|---|---|---|---|---|
| AJs | 1.022 | 1.991 | 2.035 | 0.979 |
| 22 | 0.979 | 2.035 | 1.991 | 1.022 |
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
Across the five flop textures AJs' equity moves by 30.44 points, from 24.84% on low rainbow flops (nine high or lower) to 55.28% on rainbow flops topped by a ten or better. On low rainbow flops (nine high or lower) the numbers flip and 22 is the one ahead.
| Flop | Share of flops | AJs wins | Ties | 22 wins | AJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 55.182 | 0.195 | 44.623 | 55.280 |
| Rainbow, nine or lower | 6.314 | 24.203 | 1.265 | 74.532 | 24.836 |
| Two-tone | 46.545 | 51.028 | 0.379 | 48.593 | 51.217 |
| Monotone | 5.212 | 48.558 | 3.743 | 47.699 | 50.430 |
| Paired | 17.334 | 50.992 | 0.746 | 48.262 | 51.365 |
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
Compared with a random opponent, this matchup shifts AJs from 65.39% by -14.85 points and 22 from 50.33% by -0.87 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJs, all flops | 50.536 | 65.393 | -14.857 | 0.77280 |
| AJs, rainbow, ten or higher | 55.280 | 65.393 | -10.113 | 0.84535 |
| AJs, rainbow, nine or lower | 24.836 | 65.393 | -40.557 | 0.37980 |
| AJs, two-tone | 51.217 | 65.393 | -14.176 | 0.78322 |
| AJs, monotone | 50.430 | 65.393 | -14.963 | 0.77118 |
| AJs, paired | 51.365 | 65.393 | -14.028 | 0.78548 |
| 22, all flops | 49.464 | 50.334 | -0.870 | 0.98272 |
| 22, rainbow, ten or higher | 44.720 | 50.334 | -5.614 | 0.88847 |
| 22, rainbow, nine or lower | 75.164 | 50.334 | +24.830 | 1.49330 |
| 22, two-tone | 48.783 | 50.334 | -1.551 | 0.96919 |
| 22, monotone | 49.570 | 50.334 | -0.764 | 0.98482 |
| 22, paired | 48.635 | 50.334 | -1.699 | 0.96625 |
Does a shared suit matter?
When the hands share a suit, AJs holds 50.35%; when they do not, it holds 50.72%. AJs does better with no shared suit, by 0.37 points.
| Deals | Specific deals | Share of deals | AJs wins | Ties | 22 wins | AJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 50.028 | 0.648 | 49.324 | 50.352 |
| No shared suit | 12 | 50.00 | 50.415 | 0.609 | 48.976 | 50.719 |
How often this matchup comes up
The class pair covers 24 combinations of specific cards in a fixed seat order, 0.0015% of 1,624,350, and 48 (0.0030%) in either order.
A worked example
With $100 from each side, the $200 pot is split on average as $101.08 for AJs and $98.92 for 22; the first side gains $1.08 per all-in and the second gives up $1.08.
In 1,000 deals of exactly this matchup, expect about 502 won outright by AJs, about 492 won outright by 22 and about 6 split.
The same matchup from the other side
If you came looking for 22 against AJs, the numbers are the same with the hands swapped: 49.46% and 50.54%.
Keep exploring
The calculator link fills in AsJs against 2h2d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
Nothing here is simulated. The 24 deals of AJs against 22 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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