AA
82.94%
Wins 82.73%, ties 0.42%
KQs
17.06%
Wins 16.85%, ties 0.42%
AA against KQs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AA | 82.727 | 0.418 | 16.855 | 82.936 |
| KQs | 16.855 | 0.418 | 82.727 | 17.064 |
We compare a pocket pair with a suited hand. The pair outranks both of the other hand's cards, which is why the pair is a strong favorite.
A gap this wide means KQs is in trouble before the flop and has few good runouts. 0.42% of boards are ties, so the equity of each hand is its win rate plus half of that.
For context, AA sits at number 1 of 169 starting hands and KQs at number 16 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AA | 33,997,000 | 172,000 | 6,927,000 |
| KQs | 6,927,000 | 172,000 | 33,997,000 |
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) |
|---|---|---|---|---|
| AA | 4.860 | 1.209 | 5.933 | 0.206 |
| KQs | 0.206 | 5.933 | 1.209 | 4.860 |
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
Break the boards down by their first three cards and AA is strongest on low rainbow flops (nine high or lower) (94.28%) and weakest on monotone flops (76.71%). AA 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 | AA wins | Ties | KQs wins | AA equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 81.983 | 0.109 | 17.908 | 82.038 |
| Rainbow, nine or lower | 7.771 | 93.650 | 1.265 | 5.085 | 94.282 |
| Two-tone | 46.545 | 81.091 | 0.359 | 18.550 | 81.271 |
| Monotone | 5.212 | 75.495 | 2.425 | 22.080 | 76.708 |
| Paired | 17.334 | 85.388 | 0.007 | 14.605 | 85.392 |
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
A random hand would give AA 85.20% and KQs 63.40%. Against each other the change is -2.26 points for AA and -46.34 for KQs.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AA, all flops | 82.936 | 85.204 | -2.268 | 0.97338 |
| AA, rainbow, ten or higher | 82.038 | 85.204 | -3.166 | 0.96284 |
| AA, rainbow, nine or lower | 94.282 | 85.204 | +9.078 | 1.10654 |
| AA, two-tone | 81.271 | 85.204 | -3.933 | 0.95384 |
| AA, monotone | 76.708 | 85.204 | -8.496 | 0.90029 |
| AA, paired | 85.392 | 85.204 | +0.188 | 1.00221 |
| KQs, all flops | 17.064 | 63.400 | -46.336 | 0.26915 |
| KQs, rainbow, ten or higher | 17.962 | 63.400 | -45.438 | 0.28331 |
| KQs, rainbow, nine or lower | 5.718 | 63.400 | -57.682 | 0.09019 |
| KQs, two-tone | 18.729 | 63.400 | -44.671 | 0.29541 |
| KQs, monotone | 23.292 | 63.400 | -40.108 | 0.36738 |
| KQs, paired | 14.608 | 63.400 | -48.792 | 0.23041 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (AA at 83.56%) and 12 do not (82.32%). AA does better with a shared suit, by 1.24 points.
| Deals | Specific deals | Share of deals | AA wins | Ties | KQs wins | AA equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 83.326 | 0.460 | 16.214 | 83.556 |
| No shared suit | 12 | 50.00 | 82.127 | 0.377 | 17.496 | 82.315 |
How often this matchup comes up
This page stands for 24 specific-card matchups (0.0015% of 1,624,350 ordered deals), or 48 once you count the seats both ways (0.0030%).
A worked example
Put $100 each into a $200 pot and deal every board once: AA averages $165.88 back, ahead of its $100 by $65.88, while KQs averages $34.12, short of its $100 by $65.88.
Scaled to 1,000 deals, that is roughly 827 wins for AA, 169 for KQs and 4 chopped pots.
The same matchup from the other side
Read it from the other side: KQs against AA is the same matchup with the numbers swapped, so KQs holds 17.06% and AA holds 82.94%. That address sends you back to this page.
Keep exploring
AsAh against KdQd 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 24 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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