ATs
59.01%
Wins 58.76%, ties 0.51%
KJs
40.99%
Wins 40.73%, ties 0.51%
ATs against KJs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATs | 58.756 | 0.507 | 40.737 | 59.010 |
| KJs | 40.737 | 0.507 | 58.756 | 40.990 |
Here suited hands face each other, ATs on one side and KJs on the other. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Of every 100 boards, about 0.51 are split pots, and the equity figures already include them.
In the ranking of all 169 starting hands, ATs is number 13 and KJs is number 20.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATs | 16,097,000 | 139,000 | 11,161,000 |
| KJs | 11,161,000 | 139,000 | 16,097,000 |
16 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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) |
|---|---|---|---|---|
| ATs | 1.440 | 1.702 | 2.455 | 0.695 |
| KJs | 0.695 | 2.455 | 1.702 | 1.440 |
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 ATs (74.58%); rainbow flops topped by a ten or better are the worst (53.37%). ATs 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 | ATs wins | Ties | KJs wins | ATs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 53.311 | 0.115 | 46.574 | 53.369 |
| Rainbow, nine or lower | 7.771 | 74.137 | 0.893 | 24.970 | 74.583 |
| Two-tone | 46.727 | 57.779 | 0.271 | 41.950 | 57.914 |
| Monotone | 5.273 | 54.281 | 3.413 | 42.306 | 55.988 |
| Paired | 17.091 | 63.189 | 0.608 | 36.203 | 63.493 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Relative to a random opponent, ATs changes by -5.59 points (baseline 64.60%) and KJs by -21.58 points (baseline 62.57%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATs, all flops | 59.010 | 64.602 | -5.592 | 0.91344 |
| ATs, rainbow, ten or higher | 53.369 | 64.602 | -11.233 | 0.82612 |
| ATs, rainbow, nine or lower | 74.583 | 64.602 | +9.981 | 1.15450 |
| ATs, two-tone | 57.914 | 64.602 | -6.688 | 0.89647 |
| ATs, monotone | 55.988 | 64.602 | -8.614 | 0.86666 |
| ATs, paired | 63.493 | 64.602 | -1.109 | 0.98283 |
| KJs, all flops | 40.990 | 62.567 | -21.577 | 0.65514 |
| KJs, rainbow, ten or higher | 46.631 | 62.567 | -15.936 | 0.74530 |
| KJs, rainbow, nine or lower | 25.417 | 62.567 | -37.150 | 0.40624 |
| KJs, two-tone | 42.086 | 62.567 | -20.481 | 0.67265 |
| KJs, monotone | 44.012 | 62.567 | -18.555 | 0.70344 |
| KJs, paired | 36.507 | 62.567 | -26.060 | 0.58349 |
Does a shared suit matter?
The suit split reads 61.12% for ATs with a shared suit and 58.31% without one. ATs does better with a shared suit, by 2.81 points.
| Deals | Specific deals | Share of deals | ATs wins | Ties | KJs wins | ATs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 60.832 | 0.584 | 38.584 | 61.124 |
| No shared suit | 12 | 75.00 | 58.064 | 0.481 | 41.455 | 58.305 |
How often this matchup comes up
The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. ATs averages $118.02 from the $200, up $18.02; KJs averages $81.98, down $18.02.
Think in thousands: about 588 of 1,000 go to ATs, about 407 go to KJs, and about 5 are chopped.
The same matchup from the other side
KJs against ATs adds nothing new: it is 40.99% for KJs and 59.01% for ATs, the same figures reversed.
Keep exploring
Try AsTs against KhJh 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
Method: exact enumeration. The 16 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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