A7s
50.12%
Wins 49.80%, ties 0.63%
22
49.88%
Wins 49.57%, ties 0.63%
A7s against 22: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A7s | 49.803 | 0.633 | 49.564 | 50.120 |
| 22 | 49.564 | 0.633 | 49.803 | 49.880 |
Here a suited hand (A7s) meets a pocket pair (22). This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
A7s leads by less than 1 points of equity, so the result of any one deal is close to a toss-up. Ties are 0.63% of the outcomes here; each tied board gives both hands half the pot.
The hand ranking puts A7s at 24 and 22 at 87 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A7s | 20,467,000 | 260,000 | 20,368,000 |
| 22 | 20,368,000 | 260,000 | 20,467,000 |
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) |
|---|---|---|---|---|
| A7s | 1.005 | 2.008 | 2.018 | 0.995 |
| 22 | 0.995 | 2.018 | 2.008 | 1.005 |
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
Paired flops are the best for A7s (50.93%); low rainbow flops (nine high or lower) are the worst (45.78%). 22 takes over on rainbow flops topped by a ten or better and low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.
| Flop | Share of flops | A7s wins | Ties | 22 wins | A7s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 49.125 | 0.267 | 50.608 | 49.258 |
| Rainbow, nine or lower | 5.689 | 45.241 | 1.067 | 53.692 | 45.775 |
| Two-tone | 46.545 | 50.621 | 0.382 | 48.997 | 50.812 |
| Monotone | 5.212 | 48.268 | 3.747 | 47.985 | 50.142 |
| Paired | 17.334 | 50.553 | 0.762 | 48.685 | 50.934 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Against one random hand instead, A7s holds 60.98% and 22 holds 50.33%. Facing each other changes that by -10.86 points for A7s and -0.45 points for 22.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A7s, all flops | 50.120 | 60.984 | -10.864 | 0.82185 |
| A7s, rainbow, ten or higher | 49.258 | 60.984 | -11.726 | 0.80772 |
| A7s, rainbow, nine or lower | 45.775 | 60.984 | -15.209 | 0.75061 |
| A7s, two-tone | 50.812 | 60.984 | -10.172 | 0.83320 |
| A7s, monotone | 50.142 | 60.984 | -10.842 | 0.82222 |
| A7s, paired | 50.934 | 60.984 | -10.050 | 0.83520 |
| 22, all flops | 49.880 | 50.334 | -0.454 | 0.99098 |
| 22, rainbow, ten or higher | 50.742 | 50.334 | +0.408 | 1.00811 |
| 22, rainbow, nine or lower | 54.225 | 50.334 | +3.891 | 1.07730 |
| 22, two-tone | 49.188 | 50.334 | -1.146 | 0.97723 |
| 22, monotone | 49.858 | 50.334 | -0.476 | 0.99054 |
| 22, paired | 49.066 | 50.334 | -1.268 | 0.97481 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (A7s at 49.93%) and 12 do not (50.31%). A7s does better with no shared suit, by 0.38 points.
| Deals | Specific deals | Share of deals | A7s wins | Ties | 22 wins | A7s equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 49.603 | 0.652 | 49.745 | 49.929 |
| No shared suit | 12 | 50.00 | 50.003 | 0.615 | 49.382 | 50.311 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 24 are A7s in one seat and 22 in the other (0.0015%); with the seats swapped too, 48 (0.0030%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says A7s gets $100.24 of it on average and 22 gets $99.76.
A thousand deals look like this: A7s takes 498, 22 takes 496, 6 are ties.
The same matchup from the other side
The reversed view, 22 against A7s, shows 49.88% for 22 and 50.12% for A7s. It is the same count, so it redirects here.
Keep exploring
Open the calculator with As7s against 2h2d 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 24 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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