KK
71.79%
Wins 71.58%, ties 0.42%
AQo
28.21%
Wins 28.00%, ties 0.42%
KK against AQo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 71.578 | 0.422 | 28.000 | 71.789 |
| AQo | 28.000 | 0.422 | 71.578 | 28.211 |
One side is a pocket pair, the other is an offsuit hand. The pair sits between the other hand's two cards: one is higher and one is lower, so the pair is exposed to the higher card.
A lead of 43.58 points is large but not decisive: AQo still takes about 280 of every 1,000 deals. A split pot comes up on 0.42% of boards, so the wins and the equity differ by half of that.
Among the 169 starting hands, KK is number 2 and AQo is number 14 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 88,246,000 | 520,000 | 34,520,000 |
| AQo | 34,520,000 | 520,000 | 88,246,000 |
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) |
|---|---|---|---|---|
| KK | 2.545 | 1.397 | 3.571 | 0.393 |
| AQo | 0.393 | 3.571 | 1.397 | 2.545 |
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
Split by what the flop looks like, KK peaks at 84.96% on low rainbow flops (nine high or lower) and bottoms out at 67.03% on monotone flops. KK 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 | KK wins | Ties | AQo wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 67.123 | 0.129 | 32.748 | 67.188 |
| Rainbow, nine or lower | 7.771 | 84.286 | 1.356 | 14.358 | 84.964 |
| Two-tone | 46.485 | 70.915 | 0.417 | 28.668 | 71.124 |
| Monotone | 5.151 | 66.145 | 1.773 | 32.082 | 67.032 |
| Paired | 17.333 | 75.251 | 0.010 | 24.739 | 75.256 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
Each hand has a baseline against a random hand: 82.40% for KK, 64.43% for AQo. Here the change is -10.61 and -36.22 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 71.789 | 82.396 | -10.607 | 0.87127 |
| KK, rainbow, ten or higher | 67.188 | 82.396 | -15.208 | 0.81543 |
| KK, rainbow, nine or lower | 84.964 | 82.396 | +2.568 | 1.03117 |
| KK, two-tone | 71.124 | 82.396 | -11.272 | 0.86320 |
| KK, monotone | 67.032 | 82.396 | -15.364 | 0.81353 |
| KK, paired | 75.256 | 82.396 | -7.140 | 0.91335 |
| AQo, all flops | 28.211 | 64.432 | -36.221 | 0.43784 |
| AQo, rainbow, ten or higher | 32.812 | 64.432 | -31.620 | 0.50925 |
| AQo, rainbow, nine or lower | 15.036 | 64.432 | -49.396 | 0.23336 |
| AQo, two-tone | 28.876 | 64.432 | -35.556 | 0.44816 |
| AQo, monotone | 32.968 | 64.432 | -31.464 | 0.51167 |
| AQo, paired | 24.744 | 64.432 | -39.688 | 0.38403 |
Does a shared suit matter?
Does suit overlap move the numbers? KK has 71.83% when the hands share a suit and 71.61% when they do not. The two rows differ by only 0.22 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | KK wins | Ties | AQo wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 71.606 | 0.438 | 27.956 | 71.825 |
| No shared suit | 12 | 16.67 | 71.438 | 0.342 | 28.220 | 71.609 |
How often this matchup comes up
You will meet this exact matchup 0.0089% of the time in a random heads-up deal: 144 of 1,624,350, counting either seat order.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. KK is worth $143.58 on average (+$43.58); AQo is worth $56.42 (-$43.58).
Run 1,000 deals and the tally comes out near 716 for KK, 280 for AQo and 4 ties.
The same matchup from the other side
The reversed view, AQo against KK, shows 28.21% for AQo and 71.79% for KK. It is the same count, so it redirects here.
Keep exploring
Try KsKh against AdQc in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups 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.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session