AJs
73.94%
Wins 70.11%, ties 7.67%
ATo
26.06%
Wins 22.22%, ties 7.67%
AJs against ATo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJs | 70.112 | 7.665 | 22.223 | 73.944 |
| ATo | 22.223 | 7.665 | 70.112 | 26.056 |
We compare a suited hand with an offsuit hand. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
AJs is well ahead, and ATo needs a specific kind of board to catch up. Ties are part of the picture: 7.67% of boards end in a split pot, and each side counts that as half a win.
By strength against a random hand, AJs holds place 11 of 169 and ATo holds place 19.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJs | 43,219,000 | 4,725,000 | 13,699,000 |
| ATo | 13,699,000 | 4,725,000 | 43,219,000 |
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) |
|---|---|---|---|---|
| AJs | 2.838 | 1.426 | 4.500 | 0.352 |
| ATo | 0.352 | 4.500 | 1.426 | 2.838 |
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
AJs prefers low rainbow flops (nine high or lower), where it holds 84.19%, and likes monotone flops least, where it holds 66.96%. 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 | ATo wins | AJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 69.050 | 5.536 | 25.414 | 71.818 |
| Rainbow, nine or lower | 7.771 | 81.662 | 5.058 | 13.280 | 84.191 |
| Two-tone | 46.527 | 72.379 | 5.128 | 22.493 | 74.943 |
| Monotone | 5.192 | 63.960 | 5.989 | 30.051 | 66.955 |
| Paired | 17.333 | 62.109 | 18.995 | 18.896 | 71.606 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
How much does the opponent matter? Compared with its random-hand 65.39%, AJs changes by +8.55 points, and ATo, from 62.72%, by -36.66.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJs, all flops | 73.944 | 65.393 | +8.551 | 1.13076 |
| AJs, rainbow, ten or higher | 71.818 | 65.393 | +6.425 | 1.09825 |
| AJs, rainbow, nine or lower | 84.191 | 65.393 | +18.798 | 1.28746 |
| AJs, two-tone | 74.943 | 65.393 | +9.550 | 1.14604 |
| AJs, monotone | 66.955 | 65.393 | +1.562 | 1.02389 |
| AJs, paired | 71.606 | 65.393 | +6.213 | 1.09501 |
| ATo, all flops | 26.056 | 62.722 | -36.666 | 0.41542 |
| ATo, rainbow, ten or higher | 28.182 | 62.722 | -34.540 | 0.44932 |
| ATo, rainbow, nine or lower | 15.809 | 62.722 | -46.913 | 0.25205 |
| ATo, two-tone | 25.057 | 62.722 | -37.665 | 0.39949 |
| ATo, monotone | 33.045 | 62.722 | -29.677 | 0.52685 |
| ATo, paired | 28.394 | 62.722 | -34.328 | 0.45270 |
Does a shared suit matter?
Does suit overlap move the numbers? AJs has 73.73% when the hands share a suit and 74.05% when they do not. AJs does better with no shared suit, by 0.32 points.
| Deals | Specific deals | Share of deals | AJs wins | Ties | ATo wins | AJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 69.854 | 7.761 | 22.385 | 73.734 |
| No shared suit | 24 | 66.67 | 70.240 | 7.618 | 22.142 | 74.049 |
How often this matchup comes up
Counting specific cards, AJs against ATo appears in 36 of the 1,624,350 ordered heads-up deals (0.0022%), and in 72 when the seats are swapped too (0.0044%).
A worked example
With $100 from each side, the $200 pot is split on average as $147.88 for AJs and $52.12 for ATo; the first side gains $47.88 per all-in and the second gives up $47.88.
Out of 1,000 deals you should see around 701 outright wins for AJs, 222 for ATo, and 77 split pots.
The same matchup from the other side
One page covers both views. From ATo's side the equity is 26.06%, and from AJs' side it is 73.94%.
Keep exploring
Try AsJs against AhTd 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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