ATs
67.65%
Wins 62.76%, ties 9.78%
A4s
32.35%
Wins 27.46%, ties 9.78%
ATs against A4s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATs | 62.756 | 9.780 | 27.464 | 67.646 |
| A4s | 27.464 | 9.780 | 62.756 | 32.354 |
Here suited hands face each other, ATs on one side and A4s on the other. 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.
ATs is the clear favorite, though A4s gets there on roughly one board in 3. Ties are part of the picture: 9.78% of boards end in a split pot, and each side counts that as half a win.
The hand ranking puts ATs at 13 and A4s at 35 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATs | 12,895,000 | 2,010,000 | 5,643,000 |
| A4s | 5,643,000 | 2,010,000 | 12,895,000 |
Exact total: 12 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| ATs | 2.091 | 1.593 | 3.641 | 0.478 |
| A4s | 0.478 | 3.641 | 1.593 | 2.091 |
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
The flop changes the picture. ATs does best on rainbow flops topped by a ten or better, at 74.10%, and worst on low rainbow flops (nine high or lower), at 56.04%. ATs 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 | A4s wins | ATs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 69.896 | 8.409 | 21.695 | 74.101 |
| Rainbow, nine or lower | 7.042 | 54.100 | 3.883 | 42.017 | 56.042 |
| Two-tone | 46.543 | 64.097 | 6.686 | 29.217 | 67.440 |
| Monotone | 5.215 | 58.625 | 7.812 | 33.563 | 62.531 |
| Paired | 17.333 | 54.085 | 22.963 | 22.952 | 65.567 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Relative to a random opponent, ATs changes by +3.05 points (baseline 64.60%) and A4s by -26.68 points (baseline 59.03%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATs, all flops | 67.646 | 64.602 | +3.044 | 1.04712 |
| ATs, rainbow, ten or higher | 74.101 | 64.602 | +9.499 | 1.14704 |
| ATs, rainbow, nine or lower | 56.042 | 64.602 | -8.560 | 0.86750 |
| ATs, two-tone | 67.440 | 64.602 | +2.838 | 1.04393 |
| ATs, monotone | 62.531 | 64.602 | -2.071 | 0.96794 |
| ATs, paired | 65.567 | 64.602 | +0.965 | 1.01494 |
| A4s, all flops | 32.354 | 59.034 | -26.680 | 0.54806 |
| A4s, rainbow, ten or higher | 25.899 | 59.034 | -33.135 | 0.43871 |
| A4s, rainbow, nine or lower | 43.958 | 59.034 | -15.076 | 0.74462 |
| A4s, two-tone | 32.560 | 59.034 | -26.474 | 0.55155 |
| A4s, monotone | 37.469 | 59.034 | -21.565 | 0.63470 |
| A4s, paired | 34.433 | 59.034 | -24.601 | 0.58327 |
Does a shared suit matter?
Suits do not split this matchup, because no legal deal has the hands holding the same suit.
| Deals | Specific deals | Share of deals | ATs wins | Ties | A4s wins | ATs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 62.756 | 9.780 | 27.464 | 67.646 |
How often this matchup comes up
This page stands for 12 specific-card matchups (0.0007% of 1,624,350 ordered deals), or 24 once you count the seats both ways (0.0015%).
A worked example
Put $100 each into a $200 pot and deal every board once: ATs averages $135.30 back, ahead of its $100 by $35.30, while A4s averages $64.70, short of its $100 by $35.30.
Run 1,000 deals and the tally comes out near 627 for ATs, 275 for A4s and 98 ties.
The same matchup from the other side
The reversed view, A4s against ATs, shows 32.35% for A4s and 67.65% for ATs. It is the same count, so it redirects here.
Keep exploring
The calculator link fills in AsTs against Ah4h, 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 12 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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