AJo
70.25%
Wins 69.49%, ties 1.53%
KJs
29.75%
Wins 28.98%, ties 1.53%
AJo against KJs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJo | 69.491 | 1.527 | 28.982 | 70.254 |
| KJs | 28.982 | 1.527 | 69.491 | 29.746 |
One side is an offsuit hand, the other is a suited hand. 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 40.50 points is large but not decisive: KJs still takes about 290 of every 1,000 deals. Ties are part of the picture: 1.53% of boards end in a split pot, and each side counts that as half a win.
In the ranking of all 169 starting hands, AJo is number 15 and KJs is number 20.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJo | 42,836,000 | 941,000 | 17,865,000 |
| KJs | 17,865,000 | 941,000 | 42,836,000 |
The board total is exact, 36 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AJo | 2.362 | 1.439 | 3.450 | 0.423 |
| KJs | 0.423 | 3.450 | 1.439 | 2.362 |
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
Break the boards down by their first three cards and AJo is strongest on low rainbow flops (nine high or lower) (83.30%) and weakest on monotone flops (65.41%). AJo 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 | AJo wins | Ties | KJs wins | AJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 67.555 | 1.220 | 31.225 | 68.165 |
| Rainbow, nine or lower | 7.771 | 82.364 | 1.863 | 15.773 | 83.296 |
| Two-tone | 46.527 | 67.755 | 1.269 | 30.976 | 68.390 |
| Monotone | 5.192 | 63.974 | 2.863 | 33.163 | 65.406 |
| Paired | 17.333 | 72.620 | 2.077 | 25.303 | 73.659 |
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
Each hand has a baseline against a random hand: 63.56% for AJo, 62.57% for KJs. Here the change is +6.69 and -32.82 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJo, all flops | 70.254 | 63.563 | +6.691 | 1.10527 |
| AJo, rainbow, ten or higher | 68.165 | 63.563 | +4.602 | 1.07240 |
| AJo, rainbow, nine or lower | 83.296 | 63.563 | +19.733 | 1.31045 |
| AJo, two-tone | 68.390 | 63.563 | +4.827 | 1.07594 |
| AJo, monotone | 65.406 | 63.563 | +1.843 | 1.02899 |
| AJo, paired | 73.659 | 63.563 | +10.096 | 1.15883 |
| KJs, all flops | 29.746 | 62.567 | -32.821 | 0.47543 |
| KJs, rainbow, ten or higher | 31.835 | 62.567 | -30.732 | 0.50881 |
| KJs, rainbow, nine or lower | 16.704 | 62.567 | -45.863 | 0.26698 |
| KJs, two-tone | 31.610 | 62.567 | -30.957 | 0.50522 |
| KJs, monotone | 34.594 | 62.567 | -27.973 | 0.55291 |
| KJs, paired | 26.341 | 62.567 | -36.226 | 0.42100 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (AJo at 71.33%) and 24 do not (69.72%). AJo does better with a shared suit, by 1.61 points.
| Deals | Specific deals | Share of deals | AJo wins | Ties | KJs wins | AJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 70.526 | 1.598 | 27.876 | 71.325 |
| No shared suit | 24 | 66.67 | 68.973 | 1.491 | 29.536 | 69.719 |
How often this matchup comes up
You will meet this exact matchup 0.0044% of the time in a random heads-up deal: 72 of 1,624,350, counting either seat order.
A worked example
Put $100 each into a $200 pot and deal every board once: AJo averages $140.50 back, ahead of its $100 by $40.50, while KJs averages $59.50, short of its $100 by $40.50.
Per 1,000 deals: AJo wins about 695, KJs wins about 290, and about 15 end in a split pot.
The same matchup from the other side
The mirror image, KJs against AJo, is 29.75% to 70.25%, and its address redirects to this page.
Keep exploring
Open the calculator with AsJh against KdJd 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
This is an exact count with no sampling. For the 36 ways to deal one AJo and one KJs without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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