KK
71.40%
Wins 71.19%, ties 0.41%
AJo
28.60%
Wins 28.40%, ties 0.41%
KK against AJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 71.191 | 0.408 | 28.401 | 71.395 |
| AJo | 28.401 | 0.408 | 71.191 | 28.605 |
KK, a pocket pair, plays AJo, 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.
That is a clear edge, 71.40% to 28.60%, but AJo still wins often enough that one hand proves nothing. Ties are 0.41% of the outcomes here; each tied board gives both hands half the pot.
Among the 169 starting hands, KK is number 2 and AJo is number 15 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 87,768,000 | 503,000 | 35,014,000 |
| AJo | 35,014,000 | 503,000 | 87,768,000 |
72 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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) |
|---|---|---|---|---|
| KK | 2.496 | 1.405 | 3.521 | 0.401 |
| AJo | 0.401 | 3.521 | 1.405 | 2.496 |
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
By flop texture, KK's equity runs from 66.70% on monotone flops up to 84.34% on low rainbow flops (nine high or lower). 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 | AJo wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 66.707 | 0.136 | 33.157 | 66.775 |
| Rainbow, nine or lower | 7.771 | 83.712 | 1.263 | 15.025 | 84.343 |
| Two-tone | 46.485 | 70.477 | 0.400 | 29.123 | 70.677 |
| Monotone | 5.151 | 65.820 | 1.761 | 32.419 | 66.701 |
| Paired | 17.333 | 75.103 | 0.010 | 24.887 | 75.108 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Start from the random-hand figures, 82.40% for KK and 63.56% for AJo. This opponent changes them by -11.00 and -34.96 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 71.395 | 82.396 | -11.001 | 0.86649 |
| KK, rainbow, ten or higher | 66.775 | 82.396 | -15.621 | 0.81042 |
| KK, rainbow, nine or lower | 84.343 | 82.396 | +1.947 | 1.02363 |
| KK, two-tone | 70.677 | 82.396 | -11.719 | 0.85777 |
| KK, monotone | 66.701 | 82.396 | -15.695 | 0.80952 |
| KK, paired | 75.108 | 82.396 | -7.288 | 0.91155 |
| AJo, all flops | 28.605 | 63.563 | -34.958 | 0.45003 |
| AJo, rainbow, ten or higher | 33.225 | 63.563 | -30.338 | 0.52271 |
| AJo, rainbow, nine or lower | 15.657 | 63.563 | -47.906 | 0.24632 |
| AJo, two-tone | 29.323 | 63.563 | -34.240 | 0.46132 |
| AJo, monotone | 33.299 | 63.563 | -30.264 | 0.52387 |
| AJo, paired | 24.892 | 63.563 | -38.671 | 0.39161 |
Does a shared suit matter?
Of the deals of this matchup, 60 share a suit (KK at 71.43%) and 12 do not (71.22%). The two rows differ by only 0.21 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | KK wins | Ties | AJo wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 71.217 | 0.424 | 28.359 | 71.429 |
| No shared suit | 12 | 16.67 | 71.058 | 0.328 | 28.614 | 71.222 |
How often this matchup comes up
KK against AJo 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
Try it with money: two players each put in $100 and the whole board runs out every possible way. KK averages $142.80 from the $200, up $42.80; AJo averages $57.20, down $42.80.
Think in thousands: about 712 of 1,000 go to KK, about 284 go to AJo, and about 4 are chopped.
The same matchup from the other side
If you came looking for AJo against KK, the numbers are the same with the hands swapped: 28.60% and 71.40%.
Keep exploring
Try KsKh against AdJc 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
We counted every case. Each suit pattern of the 72 specific KK against AJo deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card 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