AKs
70.70%
Wins 68.55%, ties 4.30%
A7s
29.30%
Wins 27.15%, ties 4.30%
AKs against A7s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKs | 68.548 | 4.295 | 27.157 | 70.696 |
| A7s | 27.157 | 4.295 | 68.548 | 29.304 |
AKs meets A7s, and both are suited hands. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
A lead of 41.40 points is large but not decisive: A7s still takes about 272 of every 1,000 deals. 4.30% of boards are ties, so the equity of each hand is its win rate plus half of that.
Ranked by equity against a random hand, AKs is number 8 of the 169 starting hands and A7s is number 24.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKs | 14,085,000 | 883,000 | 5,580,000 |
| A7s | 5,580,000 | 883,000 | 14,085,000 |
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) |
|---|---|---|---|---|
| AKs | 2.413 | 1.459 | 3.682 | 0.415 |
| A7s | 0.415 | 3.682 | 1.459 | 2.413 |
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
Rainbow flops topped by a ten or better are the best for AKs (77.26%); low rainbow flops (nine high or lower) are the worst (57.42%). AKs 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 | AKs wins | Ties | A7s wins | AKs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 76.066 | 2.390 | 21.544 | 77.261 |
| Rainbow, nine or lower | 7.042 | 55.334 | 4.166 | 40.500 | 57.417 |
| Two-tone | 46.543 | 68.642 | 2.501 | 28.857 | 69.892 |
| Monotone | 5.215 | 62.083 | 4.512 | 33.405 | 64.339 |
| Paired | 17.333 | 65.259 | 11.722 | 23.019 | 71.120 |
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 67.05%, AKs changes by +3.65 points, and A7s, from 60.98%, by -31.68.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKs, all flops | 70.696 | 67.045 | +3.651 | 1.05446 |
| AKs, rainbow, ten or higher | 77.261 | 67.045 | +10.216 | 1.15238 |
| AKs, rainbow, nine or lower | 57.417 | 67.045 | -9.628 | 0.85639 |
| AKs, two-tone | 69.892 | 67.045 | +2.847 | 1.04246 |
| AKs, monotone | 64.339 | 67.045 | -2.706 | 0.95964 |
| AKs, paired | 71.120 | 67.045 | +4.075 | 1.06078 |
| A7s, all flops | 29.304 | 60.984 | -31.680 | 0.48052 |
| A7s, rainbow, ten or higher | 22.739 | 60.984 | -38.245 | 0.37287 |
| A7s, rainbow, nine or lower | 42.583 | 60.984 | -18.401 | 0.69827 |
| A7s, two-tone | 30.108 | 60.984 | -30.876 | 0.49370 |
| A7s, monotone | 35.661 | 60.984 | -25.323 | 0.58476 |
| A7s, paired | 28.880 | 60.984 | -32.104 | 0.47357 |
Does a shared suit matter?
These two classes cannot share a suit in any legal deal, so there is only one row to read: AKs holds 70.70% in every deal of this matchup.
| Deals | Specific deals | Share of deals | AKs wins | Ties | A7s wins | AKs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 68.548 | 4.295 | 27.157 | 70.696 |
How often this matchup comes up
Counting specific cards, AKs against A7s appears in 12 of the 1,624,350 ordered heads-up deals (0.0007%), and in 24 when the seats are swapped too (0.0015%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. AKs is worth $141.40 on average (+$41.40); A7s is worth $58.60 (-$41.40).
In 1,000 deals of exactly this matchup, expect about 685 won outright by AKs, about 272 won outright by A7s and about 43 split.
The same matchup from the other side
If you came looking for A7s against AKs, the numbers are the same with the hands swapped: 29.30% and 70.70%.
Keep exploring
AsKs against Ah7h 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
We counted every case. Each suit pattern of the 12 specific AKs against A7s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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