AJs
71.27%
Wins 70.52%, ties 1.50%
KJs
28.73%
Wins 27.98%, ties 1.50%
AJs against KJs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJs | 70.521 | 1.503 | 27.976 | 71.272 |
| KJs | 27.976 | 1.503 | 70.521 | 28.728 |
AJs meets KJs, and both are suited hands. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
AJs is the clear favorite, though KJs gets there on roughly one board in 3. A split pot comes up on 1.50% of boards, so the wins and the equity differ by half of that.
By strength against a random hand, AJs holds place 11 of 169 and KJs holds place 20.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJs | 14,490,000 | 309,000 | 5,748,000 |
| KJs | 5,748,000 | 309,000 | 14,490,000 |
The total is exact: 12 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) |
|---|---|---|---|---|
| AJs | 2.481 | 1.418 | 3.574 | 0.403 |
| KJs | 0.403 | 3.574 | 1.418 | 2.481 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
By flop texture, AJs' equity runs from 64.11% on monotone flops up to 83.82% on low rainbow flops (nine high or lower). AJs 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 | KJs wins | AJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 68.466 | 1.186 | 30.348 | 69.059 |
| Rainbow, nine or lower | 7.771 | 82.928 | 1.776 | 15.296 | 83.816 |
| Two-tone | 46.543 | 69.307 | 1.156 | 29.537 | 69.885 |
| Monotone | 5.215 | 62.242 | 3.731 | 34.027 | 64.107 |
| Paired | 17.333 | 73.454 | 2.063 | 24.483 | 74.486 |
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
A random hand would give AJs 65.39% and KJs 62.57%. Against each other the change is +5.88 points for AJs and -33.84 for KJs.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJs, all flops | 71.272 | 65.393 | +5.879 | 1.08990 |
| AJs, rainbow, ten or higher | 69.059 | 65.393 | +3.666 | 1.05606 |
| AJs, rainbow, nine or lower | 83.816 | 65.393 | +18.423 | 1.28173 |
| AJs, two-tone | 69.885 | 65.393 | +4.492 | 1.06869 |
| AJs, monotone | 64.107 | 65.393 | -1.286 | 0.98033 |
| AJs, paired | 74.486 | 65.393 | +9.093 | 1.13905 |
| KJs, all flops | 28.728 | 62.567 | -33.839 | 0.45916 |
| KJs, rainbow, ten or higher | 30.941 | 62.567 | -31.626 | 0.49453 |
| KJs, rainbow, nine or lower | 16.184 | 62.567 | -46.383 | 0.25867 |
| KJs, two-tone | 30.115 | 62.567 | -32.452 | 0.48132 |
| KJs, monotone | 35.893 | 62.567 | -26.674 | 0.57367 |
| KJs, paired | 25.514 | 62.567 | -37.053 | 0.40779 |
Does a shared suit matter?
Every legal deal of AJs against KJs leaves the hands with no suit in common, so the suit split does not apply here.
| Deals | Specific deals | Share of deals | AJs wins | Ties | KJs wins | AJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 70.521 | 1.503 | 27.976 | 71.272 |
How often this matchup comes up
This page stands for 12 specific-card matchups (0.0007% of 1,624,350 ordered deals), or 24 once you count the seats both ways (0.0015%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average AJs takes back $142.54 of it, which is $42.54 more than it put in, and KJs takes back $57.46, $42.54 less than it put in.
A thousand deals look like this: AJs takes 705, KJs takes 280, 15 are ties.
The same matchup from the other side
Read it from the other side: KJs against AJs is the same matchup with the numbers swapped, so KJs holds 28.73% and AJs holds 71.27%. That address sends you back to this page.
Keep exploring
Open the calculator with AsJs against KhJh already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
Nothing here is simulated. The 12 deals of AJs against KJs fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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