AA
87.12%
Wins 86.92%, ties 0.41%
KQo
12.88%
Wins 12.67%, ties 0.41%
AA against KQo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AA | 86.916 | 0.407 | 12.677 | 87.120 |
| KQo | 12.677 | 0.407 | 86.916 | 12.880 |
AA and KQo are a pocket pair and an offsuit hand, in that order. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.
This is one of the lopsided matchups: KQo wins only 12.67% of the boards outright. Of every 100 boards, about 0.41 are split pots, and the equity figures already include them.
In the ranking of all 169 starting hands, AA is number 1 and KQo is number 23.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AA | 107,155,000 | 502,000 | 15,629,000 |
| KQo | 15,629,000 | 502,000 | 107,155,000 |
Exact total: 72 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 | 6.764 | 1.151 | 7.888 | 0.148 |
| KQo | 0.148 | 7.888 | 1.151 | 6.764 |
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
Across the five flop textures AA's equity moves by 15.56 points, from 81.66% on monotone flops to 97.22% on low rainbow flops (nine high or lower). 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 | KQo wins | AA equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 84.142 | 0.114 | 15.744 | 84.199 |
| Rainbow, nine or lower | 7.771 | 96.551 | 1.328 | 2.121 | 97.215 |
| Two-tone | 46.485 | 86.618 | 0.400 | 12.982 | 86.818 |
| Monotone | 5.151 | 80.776 | 1.761 | 17.463 | 81.657 |
| Paired | 17.333 | 88.941 | 0.007 | 11.052 | 88.945 |
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
How much does the opponent matter? Compared with its random-hand 85.20%, AA changes by +1.92 points, and KQo, from 61.46%, by -48.58.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AA, all flops | 87.120 | 85.204 | +1.916 | 1.02249 |
| AA, rainbow, ten or higher | 84.199 | 85.204 | -1.005 | 0.98820 |
| AA, rainbow, nine or lower | 97.215 | 85.204 | +12.011 | 1.14097 |
| AA, two-tone | 86.818 | 85.204 | +1.614 | 1.01894 |
| AA, monotone | 81.657 | 85.204 | -3.547 | 0.95837 |
| AA, paired | 88.945 | 85.204 | +3.741 | 1.04391 |
| KQo, all flops | 12.880 | 61.456 | -48.576 | 0.20958 |
| KQo, rainbow, ten or higher | 15.801 | 61.456 | -45.655 | 0.25711 |
| KQo, rainbow, nine or lower | 2.785 | 61.456 | -58.671 | 0.04532 |
| KQo, two-tone | 13.182 | 61.456 | -48.274 | 0.21449 |
| KQo, monotone | 18.343 | 61.456 | -43.113 | 0.29847 |
| KQo, paired | 11.055 | 61.456 | -50.401 | 0.17988 |
Does a shared suit matter?
Two kinds of deal exist here. In 60 of them the hands share a suit and AA holds 87.27%. In 12 they do not, and it holds 86.35%. AA does better with a shared suit, by 0.92 points.
| Deals | Specific deals | Share of deals | AA wins | Ties | KQo wins | AA equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 87.063 | 0.423 | 12.514 | 87.274 |
| No shared suit | 12 | 16.67 | 86.185 | 0.327 | 13.488 | 86.348 |
How often this matchup comes up
AA against KQo is made up of 72 specific-card matchups in one seat order, 0.0044% of the 1,624,350 ordered deals, and 144 counting both seat orders, 0.0089%.
A worked example
Take a $200 pot built from $100 each. AA's equity of 87.12% is worth $174.24, a $74.24 edge, and KQo's 12.88% is worth $25.76, which is $74.24 under its stake.
Per 1,000 deals: AA wins about 869, KQo wins about 127, and about 4 end in a split pot.
The same matchup from the other side
KQo versus AA is this same page seen from the other hand: 12.88% for KQo, 87.12% for AA.
Keep exploring
Open the calculator with AsAh against KdQc 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 72 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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