ATs
31.33%
Wins 27.49%, ties 7.66%
AJo
68.67%
Wins 64.85%, ties 7.66%
ATs against AJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATs | 27.493 | 7.664 | 64.843 | 31.325 |
| AJo | 64.843 | 7.664 | 27.493 | 68.675 |
ATs is a suited hand and AJo is 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.
AJo is the clear favorite, though ATs gets there on roughly one board in 3. The tie share is 7.66%: on those boards the pot is chopped and neither hand wins outright.
ATs ranks number 13 of 169 starting hands, and AJo ranks number 15, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATs | 16,947,000 | 4,724,000 | 39,971,000 |
| AJo | 39,971,000 | 4,724,000 | 16,947,000 |
36 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 | 0.456 | 3.637 | 1.542 | 2.192 |
| AJo | 2.192 | 1.542 | 3.637 | 0.456 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Low rainbow flops (nine high or lower) are the best for AJo (80.61%); monotone flops are the worst (63.83%). 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 | ATs wins | Ties | AJo wins | ATs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 28.440 | 5.544 | 66.016 | 31.212 |
| Rainbow, nine or lower | 7.771 | 16.860 | 5.058 | 78.082 | 19.389 |
| Two-tone | 46.527 | 29.456 | 5.123 | 65.421 | 32.017 |
| Monotone | 5.192 | 33.186 | 5.974 | 60.840 | 36.173 |
| Paired | 17.333 | 24.021 | 18.992 | 56.987 | 33.517 |
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, ATs holds 64.60% and AJo holds 63.56%. Facing each other changes that by -33.27 points for ATs and +5.11 points for AJo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATs, all flops | 31.325 | 64.602 | -33.277 | 0.48489 |
| ATs, rainbow, ten or higher | 31.212 | 64.602 | -33.390 | 0.48314 |
| ATs, rainbow, nine or lower | 19.389 | 64.602 | -45.213 | 0.30013 |
| ATs, two-tone | 32.017 | 64.602 | -32.585 | 0.49560 |
| ATs, monotone | 36.173 | 64.602 | -28.429 | 0.55994 |
| ATs, paired | 33.517 | 64.602 | -31.085 | 0.51882 |
| AJo, all flops | 68.675 | 63.563 | +5.112 | 1.08042 |
| AJo, rainbow, ten or higher | 68.788 | 63.563 | +5.225 | 1.08220 |
| AJo, rainbow, nine or lower | 80.611 | 63.563 | +17.048 | 1.26821 |
| AJo, two-tone | 67.983 | 63.563 | +4.420 | 1.06954 |
| AJo, monotone | 63.827 | 63.563 | +0.264 | 1.00415 |
| AJo, paired | 66.483 | 63.563 | +2.920 | 1.04594 |
Does a shared suit matter?
Split by suits, the deals give AJo 69.42% when the hands overlap in a suit and 68.31% when they do not. AJo does better with a shared suit, by 1.11 points.
| Deals | Specific deals | Share of deals | ATs wins | Ties | AJo wins | ATs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 26.703 | 7.761 | 65.536 | 30.584 |
| No shared suit | 24 | 66.67 | 27.888 | 7.615 | 64.497 | 31.695 |
How often this matchup comes up
How often does it happen? 36 of the 1,624,350 ordered deals (0.0022%) are ATs against AJo, and 72 (0.0044%) if either hand may sit in either seat.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. AJo is worth $137.34 on average (+$37.34); ATs is worth $62.66 (-$37.34).
Scaled to 1,000 deals, that is roughly 648 wins for AJo, 275 for ATs and 77 chopped pots.
The same matchup from the other side
Read it from the other side: AJo against ATs is the same matchup with the numbers swapped, so AJo holds 68.67% and ATs holds 31.33%. That address sends you back to this page.
Keep exploring
The calculator link fills in AsTs against AhJd, 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
Method: exact enumeration. The 36 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.
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