ATs
63.19%
Wins 62.91%, ties 0.56%
43s
36.81%
Wins 36.53%, ties 0.56%
ATs against 43s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATs | 62.910 | 0.560 | 36.530 | 63.190 |
| 43s | 36.530 | 0.560 | 62.910 | 36.810 |
Both hands are suited hands: ATs and 43s. 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. Ties are part of the picture: 0.56% of boards end in a split pot, and each side counts that as half a win.
Place 13 of 169 belongs to ATs and place 150 belongs to 43s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATs | 17,235,000 | 153,000 | 10,008,000 |
| 43s | 10,008,000 | 153,000 | 17,235,000 |
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 | 1.717 | 1.590 | 2.737 | 0.583 |
| 43s | 0.583 | 2.737 | 1.590 | 1.717 |
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
ATs prefers rainbow flops topped by a ten or better, where it holds 69.54%, and likes low rainbow flops (nine high or lower) least, where it holds 39.16%. Watch for low rainbow flops (nine high or lower): on those flops 43s holds the better equity.
| Flop | Share of flops | ATs wins | Ties | 43s wins | ATs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 69.422 | 0.227 | 30.351 | 69.536 |
| Rainbow, nine or lower | 6.314 | 38.765 | 0.796 | 60.439 | 39.163 |
| Two-tone | 46.727 | 62.204 | 0.312 | 37.484 | 62.360 |
| Monotone | 5.273 | 58.377 | 3.651 | 37.972 | 60.203 |
| Paired | 17.091 | 65.789 | 0.678 | 33.533 | 66.128 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
Relative to a random opponent, ATs changes by -1.41 points (baseline 64.60%) and 43s by -1.83 points (baseline 38.64%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATs, all flops | 63.190 | 64.602 | -1.412 | 0.97814 |
| ATs, rainbow, ten or higher | 69.536 | 64.602 | +4.934 | 1.07638 |
| ATs, rainbow, nine or lower | 39.163 | 64.602 | -25.439 | 0.60622 |
| ATs, two-tone | 62.360 | 64.602 | -2.242 | 0.96530 |
| ATs, monotone | 60.203 | 64.602 | -4.399 | 0.93191 |
| ATs, paired | 66.128 | 64.602 | +1.526 | 1.02362 |
| 43s, all flops | 36.810 | 38.642 | -1.832 | 0.95259 |
| 43s, rainbow, ten or higher | 30.464 | 38.642 | -8.178 | 0.78836 |
| 43s, rainbow, nine or lower | 60.837 | 38.642 | +22.195 | 1.57438 |
| 43s, two-tone | 37.640 | 38.642 | -1.002 | 0.97407 |
| 43s, monotone | 39.797 | 38.642 | +1.155 | 1.02989 |
| 43s, paired | 33.872 | 38.642 | -4.770 | 0.87656 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, ATs has 65.54%; looking only at deals where they do not, 62.41%. ATs does better with a shared suit, by 3.13 points.
| Deals | Specific deals | Share of deals | ATs wins | Ties | 43s wins | ATs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.222 | 0.635 | 34.143 | 65.540 |
| No shared suit | 12 | 75.00 | 62.140 | 0.535 | 37.325 | 62.407 |
How often this matchup comes up
You will meet this exact matchup 0.0020% of the time in a random heads-up deal: 32 of 1,624,350, counting either seat order.
A worked example
Put $100 each into a $200 pot and deal every board once: ATs averages $126.38 back, ahead of its $100 by $26.38, while 43s averages $73.62, short of its $100 by $26.38.
Scaled to 1,000 deals, that is roughly 629 wins for ATs, 365 for 43s and 6 chopped pots.
The same matchup from the other side
One page covers both views. From 43s' side the equity is 36.81%, and from ATs' side it is 63.19%.
Keep exploring
Open the calculator with AsTs against 4h3h 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
We counted every case. Each suit pattern of the 16 specific ATs against 43s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its 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