AJs
30.17%
Wins 27.95%, ties 4.44%
AKo
69.83%
Wins 67.61%, ties 4.44%
AJs against AKo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJs | 27.954 | 4.435 | 67.611 | 30.171 |
| AKo | 67.611 | 4.435 | 27.954 | 69.829 |
AJs and AKo are a suited hand and an offsuit hand, in that order. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
That is a clear edge, 69.83% to 30.17%, but AJs still wins often enough that one hand proves nothing. Of every 100 boards, about 4.44 are split pots, and the equity figures already include them.
Among the 169 starting hands, AJs is number 11 and AKo is number 12 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJs | 17,232,000 | 2,734,000 | 41,677,000 |
| AKo | 41,677,000 | 2,734,000 | 17,232,000 |
Exact total: 36 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) |
|---|---|---|---|---|
| AJs | 0.432 | 3.577 | 1.479 | 2.314 |
| AKo | 2.314 | 1.479 | 3.577 | 0.432 |
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
By flop texture, AKo's equity runs from 64.45% on monotone flops up to 81.31% on low rainbow flops (nine high or lower). 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 | AJs wins | Ties | AKo wins | AJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 29.418 | 1.984 | 68.598 | 30.410 |
| Rainbow, nine or lower | 7.771 | 16.018 | 5.338 | 78.644 | 18.687 |
| Two-tone | 46.527 | 29.956 | 2.659 | 67.385 | 31.285 |
| Monotone | 5.192 | 33.562 | 3.981 | 62.457 | 35.553 |
| Paired | 17.333 | 24.293 | 12.211 | 63.496 | 30.398 |
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
Compared with a random opponent, this matchup shifts AJs from 65.39% by -35.22 points and AKo from 65.32% by +4.51 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJs, all flops | 30.171 | 65.393 | -35.222 | 0.46138 |
| AJs, rainbow, ten or higher | 30.410 | 65.393 | -34.983 | 0.46503 |
| AJs, rainbow, nine or lower | 18.687 | 65.393 | -46.706 | 0.28576 |
| AJs, two-tone | 31.285 | 65.393 | -34.108 | 0.47842 |
| AJs, monotone | 35.553 | 65.393 | -29.840 | 0.54368 |
| AJs, paired | 30.398 | 65.393 | -34.995 | 0.46485 |
| AKo, all flops | 69.829 | 65.320 | +4.509 | 1.06903 |
| AKo, rainbow, ten or higher | 69.590 | 65.320 | +4.270 | 1.06537 |
| AKo, rainbow, nine or lower | 81.313 | 65.320 | +15.993 | 1.24484 |
| AKo, two-tone | 68.715 | 65.320 | +3.395 | 1.05197 |
| AKo, monotone | 64.447 | 65.320 | -0.873 | 0.98664 |
| AKo, paired | 69.602 | 65.320 | +4.282 | 1.06555 |
Does a shared suit matter?
Does suit overlap move the numbers? AKo has 70.60% when the hands share a suit and 69.44% when they do not. AKo does better with a shared suit, by 1.16 points.
| Deals | Specific deals | Share of deals | AJs wins | Ties | AKo wins | AJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 27.145 | 4.505 | 68.350 | 29.397 |
| No shared suit | 24 | 66.67 | 28.358 | 4.400 | 67.242 | 30.558 |
How often this matchup comes up
Exactly 36 specific deals fit this matchup in one seat order, which is 0.0022% of 1,624,350; both orders together give 72, or 0.0044%.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says AKo gets $139.66 of it on average and AJs gets $60.34.
Run 1,000 deals and the tally comes out near 676 for AKo, 280 for AJs and 44 ties.
The same matchup from the other side
The mirror image, AKo against AJs, is 69.83% to 30.17%, and its address redirects to this page.
Keep exploring
Try AsJs against AhKd 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 36 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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