AJo
72.85%
Wins 68.83%, ties 8.04%
ATo
27.15%
Wins 23.13%, ties 8.04%
AJo against ATo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJo | 68.825 | 8.042 | 23.133 | 72.846 |
| ATo | 23.133 | 8.042 | 68.825 | 27.154 |
The matchup is offsuit hands on both sides, AJo against ATo. 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.
A lead of 45.70 points is large but not decisive: ATo still takes about 231 of every 1,000 deals. Split pots make up 8.04% of the boards, and both equity figures count them as half a win each.
In the ranking of all 169 starting hands, AJo is number 15 and ATo is number 19.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJo | 127,277,000 | 14,872,000 | 42,780,000 |
| ATo | 42,780,000 | 14,872,000 | 127,277,000 |
The board total is exact, 108 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 | 2.683 | 1.453 | 4.323 | 0.373 |
| ATo | 0.373 | 4.323 | 1.453 | 2.683 |
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
Across the five flop textures AJo's equity moves by 15.50 points, from 68.10% on monotone flops to 83.60% on low rainbow flops (nine high or lower). 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 | ATo wins | AJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.275 | 68.146 | 5.661 | 26.193 | 70.977 |
| Rainbow, nine or lower | 7.771 | 80.979 | 5.240 | 13.781 | 83.599 |
| Two-tone | 46.477 | 70.700 | 5.470 | 23.830 | 73.435 |
| Monotone | 5.144 | 65.089 | 6.028 | 28.883 | 68.103 |
| Paired | 17.333 | 60.370 | 19.987 | 19.643 | 70.363 |
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
Against one random hand instead, AJo holds 63.56% and ATo holds 62.72%. Facing each other changes that by +9.29 points for AJo and -35.57 points for ATo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJo, all flops | 72.846 | 63.563 | +9.283 | 1.14604 |
| AJo, rainbow, ten or higher | 70.977 | 63.563 | +7.414 | 1.11664 |
| AJo, rainbow, nine or lower | 83.599 | 63.563 | +20.036 | 1.31521 |
| AJo, two-tone | 73.435 | 63.563 | +9.872 | 1.15531 |
| AJo, monotone | 68.103 | 63.563 | +4.540 | 1.07143 |
| AJo, paired | 70.363 | 63.563 | +6.800 | 1.10698 |
| ATo, all flops | 27.154 | 62.722 | -35.568 | 0.43293 |
| ATo, rainbow, ten or higher | 29.023 | 62.722 | -33.699 | 0.46272 |
| ATo, rainbow, nine or lower | 16.401 | 62.722 | -46.321 | 0.26149 |
| ATo, two-tone | 26.565 | 62.722 | -36.157 | 0.42354 |
| ATo, monotone | 31.897 | 62.722 | -30.825 | 0.50855 |
| ATo, paired | 29.637 | 62.722 | -33.085 | 0.47251 |
Does a shared suit matter?
Of the deals of this matchup, 84 share a suit (AJo at 72.95%) and 24 do not (72.48%). AJo does better with a shared suit, by 0.47 points.
| Deals | Specific deals | Share of deals | AJo wins | Ties | ATo wins | AJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 84 | 77.78 | 68.913 | 8.074 | 23.013 | 72.950 |
| No shared suit | 24 | 22.22 | 68.518 | 7.928 | 23.554 | 72.482 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 108 are AJo in one seat and ATo in the other (0.0066%); with the seats swapped too, 216 (0.0133%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. AJo is worth $145.70 on average (+$45.70); ATo is worth $54.30 (-$45.70).
Think in thousands: about 688 of 1,000 go to AJo, about 231 go to ATo, and about 81 are chopped.
The same matchup from the other side
The reversed view, ATo against AJo, shows 27.15% for ATo and 72.85% for AJo. It is the same count, so it redirects here.
Keep exploring
Open the calculator with AsJh against AdTc 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
Method: exact enumeration. The 108 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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