AKo
74.07%
Wins 71.74%, ties 4.66%
AJo
25.93%
Wins 23.60%, ties 4.66%
AKo against AJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 71.737 | 4.660 | 23.603 | 74.067 |
| AJo | 23.603 | 4.660 | 71.737 | 25.933 |
Both hands are offsuit hands: AKo and AJo. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
A lead of 48.14 points is large but not decisive: AJo still takes about 236 of every 1,000 deals. Split pots make up 4.66% of the boards, and both equity figures count them as half a win each.
Ranked by equity against a random hand, AKo is number 12 of the 169 starting hands and AJo is number 15.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 132,662,000 | 8,618,000 | 43,649,000 |
| AJo | 43,649,000 | 8,618,000 | 132,662,000 |
The total is exact: 108 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| AKo | 2.856 | 1.394 | 4.237 | 0.350 |
| AJo | 0.350 | 4.237 | 1.394 | 2.856 |
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
Low rainbow flops (nine high or lower) are the best for AKo (84.36%); monotone flops are the worst (68.83%). AKo 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 | AKo wins | Ties | AJo wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.275 | 70.763 | 2.033 | 27.204 | 71.780 |
| Rainbow, nine or lower | 7.771 | 81.591 | 5.534 | 12.875 | 84.358 |
| Two-tone | 46.477 | 72.801 | 2.857 | 24.342 | 74.230 |
| Monotone | 5.144 | 66.919 | 3.817 | 29.264 | 68.827 |
| Paired | 17.333 | 67.203 | 12.879 | 19.918 | 73.642 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of +8.75 points for AKo, from 65.32%, and -37.63 for AJo, from 63.56%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 74.067 | 65.320 | +8.747 | 1.13391 |
| AKo, rainbow, ten or higher | 71.780 | 65.320 | +6.460 | 1.09890 |
| AKo, rainbow, nine or lower | 84.358 | 65.320 | +19.038 | 1.29146 |
| AKo, two-tone | 74.230 | 65.320 | +8.910 | 1.13641 |
| AKo, monotone | 68.827 | 65.320 | +3.507 | 1.05369 |
| AKo, paired | 73.642 | 65.320 | +8.322 | 1.12740 |
| AJo, all flops | 25.933 | 63.563 | -37.630 | 0.40799 |
| AJo, rainbow, ten or higher | 28.220 | 63.563 | -35.343 | 0.44397 |
| AJo, rainbow, nine or lower | 15.642 | 63.563 | -47.921 | 0.24609 |
| AJo, two-tone | 25.770 | 63.563 | -37.793 | 0.40542 |
| AJo, monotone | 31.173 | 63.563 | -32.390 | 0.49043 |
| AJo, paired | 26.358 | 63.563 | -37.205 | 0.41468 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common AKo has 74.17% equity, and with none in common it has 73.70%. AKo does better with a shared suit, by 0.47 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | AJo wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 84 | 77.78 | 71.831 | 4.684 | 23.485 | 74.173 |
| No shared suit | 24 | 22.22 | 71.406 | 4.578 | 24.016 | 73.695 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 108 are AKo in one seat and AJo in the other (0.0066%); with the seats swapped too, 216 (0.0133%).
A worked example
With $100 from each side, the $200 pot is split on average as $148.14 for AKo and $51.86 for AJo; the first side gains $48.14 per all-in and the second gives up $48.14.
Scaled to 1,000 deals, that is roughly 717 wins for AKo, 236 for AJo and 47 chopped pots.
The same matchup from the other side
AJo versus AKo is this same page seen from the other hand: 25.93% for AJo, 74.07% for AKo.
Keep exploring
AsKh against AdJc 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
Each figure is a complete count over boards. Take the 108 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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