AQs
70.53%
Wins 67.84%, ties 5.38%
A7s
29.47%
Wins 26.78%, ties 5.38%
AQs against A7s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQs | 67.837 | 5.380 | 26.783 | 70.527 |
| A7s | 26.783 | 5.380 | 67.837 | 29.473 |
This is a contest between two suited hands, AQs and A7s. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
AQs is well ahead, and A7s needs a specific kind of board to catch up. Ties are part of the picture: 5.38% of boards end in a split pot, and each side counts that as half a win.
The hand ranking puts AQs at 10 and A7s at 24 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQs | 13,939,000 | 1,105,000 | 5,503,000 |
| A7s | 5,503,000 | 1,105,000 | 13,939,000 |
The total is exact: 12 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| AQs | 2.393 | 1.474 | 3.734 | 0.418 |
| A7s | 0.418 | 3.734 | 1.474 | 2.393 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
If you know the kind of flop that came, the numbers shift: AQs holds 77.30% on rainbow flops topped by a ten or better and 57.57% on low rainbow flops (nine high or lower). AQs 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 | AQs wins | Ties | A7s wins | AQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 75.565 | 3.475 | 20.960 | 77.303 |
| Rainbow, nine or lower | 7.042 | 55.500 | 4.144 | 40.356 | 57.572 |
| Two-tone | 46.543 | 68.254 | 3.295 | 28.451 | 69.901 |
| Monotone | 5.215 | 61.631 | 5.226 | 33.143 | 64.244 |
| Paired | 17.333 | 62.956 | 14.153 | 22.891 | 70.033 |
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
Relative to a random opponent, AQs changes by +4.32 points (baseline 66.21%) and A7s by -31.51 points (baseline 60.98%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQs, all flops | 70.527 | 66.209 | +4.318 | 1.06522 |
| AQs, rainbow, ten or higher | 77.303 | 66.209 | +11.094 | 1.16756 |
| AQs, rainbow, nine or lower | 57.572 | 66.209 | -8.637 | 0.86955 |
| AQs, two-tone | 69.901 | 66.209 | +3.692 | 1.05576 |
| AQs, monotone | 64.244 | 66.209 | -1.965 | 0.97032 |
| AQs, paired | 70.033 | 66.209 | +3.824 | 1.05776 |
| A7s, all flops | 29.473 | 60.984 | -31.511 | 0.48329 |
| A7s, rainbow, ten or higher | 22.697 | 60.984 | -38.287 | 0.37218 |
| A7s, rainbow, nine or lower | 42.428 | 60.984 | -18.556 | 0.69572 |
| A7s, two-tone | 30.099 | 60.984 | -30.885 | 0.49356 |
| A7s, monotone | 35.756 | 60.984 | -25.228 | 0.58632 |
| A7s, paired | 29.967 | 60.984 | -31.017 | 0.49139 |
Does a shared suit matter?
A shared suit is impossible for this matchup, so AQs' 70.53% is the answer for every suit pattern.
| Deals | Specific deals | Share of deals | AQs wins | Ties | A7s wins | AQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 67.837 | 5.380 | 26.783 | 70.527 |
How often this matchup comes up
Exactly 12 specific deals fit this matchup in one seat order, which is 0.0007% of 1,624,350; both orders together give 24, or 0.0015%.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average AQs takes back $141.06 of it, which is $41.06 more than it put in, and A7s takes back $58.94, $41.06 less than it put in.
Out of 1,000 deals you should see around 678 outright wins for AQs, 268 for A7s, and 54 split pots.
The same matchup from the other side
Read it from the other side: A7s against AQs is the same matchup with the numbers swapped, so A7s holds 29.47% and AQs holds 70.53%. That address sends you back to this page.
Keep exploring
Open the calculator with AsQs against Ah7h 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
Nothing here is simulated. The 12 deals of AQs against A7s 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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