ATo
56.38%
Wins 56.15%, ties 0.46%
KJs
43.62%
Wins 43.39%, ties 0.46%
ATo against KJs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATo | 56.147 | 0.463 | 43.390 | 56.379 |
| KJs | 43.390 | 0.463 | 56.147 | 43.621 |
The matchup pits an offsuit hand against a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. The tie share is 0.46%: on those boards the pot is chopped and neither hand wins outright.
Ranked by equity against a random hand, ATo is number 19 of the 169 starting hands and KJs is number 20.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATo | 46,148,000 | 381,000 | 35,662,000 |
| KJs | 35,662,000 | 381,000 | 46,148,000 |
The board total is exact, 48 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) |
|---|---|---|---|---|
| ATo | 1.292 | 1.781 | 2.305 | 0.774 |
| KJs | 0.774 | 2.305 | 1.781 | 1.292 |
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
Split by what the flop looks like, ATo peaks at 73.13% on low rainbow flops (nine high or lower) and bottoms out at 51.72% on rainbow flops topped by a ten or better. ATo 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 | ATo wins | Ties | KJs wins | ATo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 51.663 | 0.118 | 48.219 | 51.722 |
| Rainbow, nine or lower | 7.770 | 72.670 | 0.924 | 26.406 | 73.132 |
| Two-tone | 46.667 | 54.230 | 0.290 | 45.480 | 54.375 |
| Monotone | 5.212 | 52.919 | 2.379 | 44.702 | 54.108 |
| Paired | 17.091 | 60.959 | 0.608 | 38.433 | 61.263 |
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
Compared with a random opponent, this matchup shifts ATo from 62.72% by -6.34 points and KJs from 62.57% by -18.95 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATo, all flops | 56.379 | 62.722 | -6.343 | 0.89887 |
| ATo, rainbow, ten or higher | 51.722 | 62.722 | -11.000 | 0.82462 |
| ATo, rainbow, nine or lower | 73.132 | 62.722 | +10.410 | 1.16597 |
| ATo, two-tone | 54.375 | 62.722 | -8.347 | 0.86692 |
| ATo, monotone | 54.108 | 62.722 | -8.614 | 0.86266 |
| ATo, paired | 61.263 | 62.722 | -1.459 | 0.97674 |
| KJs, all flops | 43.621 | 62.567 | -18.946 | 0.69719 |
| KJs, rainbow, ten or higher | 48.278 | 62.567 | -14.289 | 0.77162 |
| KJs, rainbow, nine or lower | 26.868 | 62.567 | -35.699 | 0.42943 |
| KJs, two-tone | 45.625 | 62.567 | -16.942 | 0.72922 |
| KJs, monotone | 45.892 | 62.567 | -16.675 | 0.73349 |
| KJs, paired | 38.737 | 62.567 | -23.830 | 0.61913 |
Does a shared suit matter?
Does suit overlap move the numbers? ATo has 56.86% when the hands share a suit and 55.90% when they do not. ATo does better with a shared suit, by 0.96 points.
| Deals | Specific deals | Share of deals | ATo wins | Ties | KJs wins | ATo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 56.607 | 0.503 | 42.890 | 56.858 |
| No shared suit | 24 | 50.00 | 55.688 | 0.422 | 43.890 | 55.899 |
How often this matchup comes up
How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are ATo against KJs, and 96 (0.0059%) if either hand may sit in either seat.
A worked example
Take a $200 pot built from $100 each. ATo's equity of 56.38% is worth $112.76, a $12.76 edge, and KJs' 43.62% is worth $87.24, which is $12.76 under its stake.
In 1,000 deals of exactly this matchup, expect about 561 won outright by ATo, about 434 won outright by KJs and about 5 split.
The same matchup from the other side
The reversed view, KJs against ATo, shows 43.62% for KJs and 56.38% for ATo. It is the same count, so it redirects here.
Keep exploring
The calculator link fills in AsTh against KdJd, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
This is an exact count with no sampling. For the 48 ways to deal one ATo 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.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session