AQs
71.42%
Wins 70.85%, ties 1.14%
KQs
28.58%
Wins 28.01%, ties 1.14%
AQs against KQs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQs | 70.848 | 1.139 | 28.013 | 71.418 |
| KQs | 28.013 | 1.139 | 70.848 | 28.582 |
AQs and KQs are both suited hands. 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.
A lead of 42.84 points is large but not decisive: KQs still takes about 280 of every 1,000 deals. Ties are part of the picture: 1.14% of boards end in a split pot, and each side counts that as half a win.
Among the 169 starting hands, AQs is number 10 and KQs is number 16 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQs | 14,558,000 | 234,000 | 5,756,000 |
| KQs | 5,756,000 | 234,000 | 14,558,000 |
Exact total: 12 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) |
|---|---|---|---|---|
| AQs | 2.499 | 1.411 | 3.570 | 0.400 |
| KQs | 0.400 | 3.570 | 1.411 | 2.499 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Across the five flop textures AQs' equity moves by 19.86 points, from 64.21% on monotone flops to 84.07% 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 | KQs wins | AQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 68.849 | 0.743 | 30.408 | 69.220 |
| Rainbow, nine or lower | 7.771 | 83.451 | 1.232 | 15.317 | 84.067 |
| Two-tone | 46.543 | 69.658 | 0.762 | 29.580 | 70.039 |
| Monotone | 5.215 | 62.469 | 3.475 | 34.056 | 64.206 |
| Paired | 17.333 | 73.583 | 1.935 | 24.482 | 74.550 |
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
Each hand has a baseline against a random hand: 66.21% for AQs, 63.40% for KQs. Here the change is +5.21 and -34.82 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQs, all flops | 71.418 | 66.209 | +5.209 | 1.07868 |
| AQs, rainbow, ten or higher | 69.220 | 66.209 | +3.011 | 1.04548 |
| AQs, rainbow, nine or lower | 84.067 | 66.209 | +17.858 | 1.26972 |
| AQs, two-tone | 70.039 | 66.209 | +3.830 | 1.05785 |
| AQs, monotone | 64.206 | 66.209 | -2.003 | 0.96975 |
| AQs, paired | 74.550 | 66.209 | +8.341 | 1.12598 |
| KQs, all flops | 28.582 | 63.400 | -34.818 | 0.45082 |
| KQs, rainbow, ten or higher | 30.780 | 63.400 | -32.620 | 0.48549 |
| KQs, rainbow, nine or lower | 15.933 | 63.400 | -47.467 | 0.25131 |
| KQs, two-tone | 29.961 | 63.400 | -33.439 | 0.47257 |
| KQs, monotone | 35.794 | 63.400 | -27.606 | 0.56457 |
| KQs, paired | 25.450 | 63.400 | -37.950 | 0.40142 |
Does a shared suit matter?
These two classes cannot share a suit in any legal deal, so there is only one row to read: AQs holds 71.42% in every deal of this matchup.
| Deals | Specific deals | Share of deals | AQs wins | Ties | KQs wins | AQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 70.848 | 1.139 | 28.013 | 71.418 |
How often this matchup comes up
How often does it happen? 12 of the 1,624,350 ordered deals (0.0007%) are AQs against KQs, and 24 (0.0015%) if either hand may sit in either seat.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says AQs gets $142.84 of it on average and KQs gets $57.16.
Scaled to 1,000 deals, that is roughly 709 wins for AQs, 280 for KQs and 11 chopped pots.
The same matchup from the other side
If you came looking for KQs against AQs, the numbers are the same with the hands swapped: 28.58% and 71.42%.
Keep exploring
Open the calculator with AsQs against KhQh 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
Each figure is a complete count over boards. Take the 12 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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