ATo
59.81%
Wins 59.58%, ties 0.45%
KJo
40.19%
Wins 39.97%, ties 0.45%
ATo against KJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATo | 59.584 | 0.445 | 39.971 | 59.806 |
| KJo | 39.971 | 0.445 | 59.584 | 40.194 |
The matchup is offsuit hands on both sides, ATo against KJo. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 19.62 point lead is real, and KJo still takes about 400 of every 1,000 deals outright. The tie share is 0.45%: on those boards the pot is chopped and neither hand wins outright.
For context, ATo sits at number 19 of 169 starting hands and KJo at number 26 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATo | 146,917,000 | 1,097,000 | 98,557,000 |
| KJo | 98,557,000 | 1,097,000 | 146,917,000 |
Exact total: 144 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) |
|---|---|---|---|---|
| ATo | 1.488 | 1.678 | 2.502 | 0.672 |
| KJo | 0.672 | 2.502 | 1.678 | 1.488 |
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
Across the five flop textures ATo's equity moves by 22.77 points, from 53.36% on rainbow flops topped by a ten or better to 76.13% on low rainbow flops (nine high or lower). ATo 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 | ATo wins | Ties | KJo wins | ATo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.381 | 53.303 | 0.123 | 46.574 | 53.364 |
| Rainbow, nine or lower | 7.771 | 75.649 | 0.969 | 23.382 | 76.134 |
| Two-tone | 46.606 | 58.642 | 0.319 | 41.039 | 58.801 |
| Monotone | 5.151 | 55.943 | 1.704 | 42.353 | 56.795 |
| Paired | 17.091 | 64.540 | 0.608 | 34.852 | 64.844 |
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
A random hand would give ATo 62.72% and KJo 60.57%. Against each other the change is -2.91 points for ATo and -20.38 for KJo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATo, all flops | 59.806 | 62.722 | -2.916 | 0.95351 |
| ATo, rainbow, ten or higher | 53.364 | 62.722 | -9.358 | 0.85080 |
| ATo, rainbow, nine or lower | 76.134 | 62.722 | +13.412 | 1.21383 |
| ATo, two-tone | 58.801 | 62.722 | -3.921 | 0.93749 |
| ATo, monotone | 56.795 | 62.722 | -5.927 | 0.90550 |
| ATo, paired | 64.844 | 62.722 | +2.122 | 1.03383 |
| KJo, all flops | 40.194 | 60.569 | -20.375 | 0.66361 |
| KJo, rainbow, ten or higher | 46.636 | 60.569 | -13.933 | 0.76996 |
| KJo, rainbow, nine or lower | 23.866 | 60.569 | -36.703 | 0.39403 |
| KJo, two-tone | 41.199 | 60.569 | -19.370 | 0.68020 |
| KJo, monotone | 43.205 | 60.569 | -17.364 | 0.71332 |
| KJo, paired | 35.156 | 60.569 | -25.413 | 0.58043 |
Does a shared suit matter?
When the hands share a suit, ATo holds 59.82%; when they do not, it holds 59.72%. The two rows differ by only 0.10 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | ATo wins | Ties | KJo wins | ATo equity |
|---|---|---|---|---|---|---|
| Share a suit | 120 | 83.33 | 59.594 | 0.460 | 39.946 | 59.824 |
| No shared suit | 24 | 16.67 | 59.538 | 0.365 | 40.097 | 59.721 |
How often this matchup comes up
Counting specific cards, ATo against KJo appears in 144 of the 1,624,350 ordered heads-up deals (0.0089%), and in 288 when the seats are swapped too (0.0177%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says ATo gets $119.62 of it on average and KJo gets $80.38.
Out of 1,000 deals you should see around 596 outright wins for ATo, 400 for KJo, and 4 split pots.
The same matchup from the other side
The reversed view, KJo against ATo, shows 40.19% for KJo and 59.81% for ATo. It is the same count, so it redirects here.
Keep exploring
The calculator link fills in AsTh against KdJc, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
Method: exact enumeration. The 144 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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