ATs
68.89%
Wins 64.07%, ties 9.64%
A8s
31.11%
Wins 26.29%, ties 9.64%
ATs against A8s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATs | 64.067 | 9.644 | 26.289 | 68.889 |
| A8s | 26.289 | 9.644 | 64.067 | 31.111 |
Two suited hands meet here: ATs against A8s. 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 well ahead, and A8s needs a specific kind of board to catch up. 9.64% of boards are ties, so the equity of each hand is its win rate plus half of that.
Among the 169 starting hands, ATs is number 13 and A8s is number 21 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATs | 13,164,000 | 1,982,000 | 5,402,000 |
| A8s | 5,402,000 | 1,982,000 | 13,164,000 |
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 | 2.214 | 1.561 | 3.804 | 0.452 |
| A8s | 0.452 | 3.804 | 1.561 | 2.214 |
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 ATs' equity moves by 14.55 points, from 60.40% on low rainbow flops (nine high or lower) to 74.95% on rainbow flops topped by a ten or better. ATs stays ahead on all five textures.
| Flop | Share of flops | ATs wins | Ties | A8s wins | ATs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 70.793 | 8.318 | 20.889 | 74.952 |
| Rainbow, nine or lower | 7.042 | 58.410 | 3.978 | 37.612 | 60.399 |
| Two-tone | 46.543 | 65.493 | 6.612 | 27.895 | 68.799 |
| Monotone | 5.215 | 59.491 | 7.691 | 32.818 | 63.337 |
| Paired | 17.333 | 54.652 | 22.501 | 22.847 | 65.902 |
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
Each hand has a baseline against a random hand: 64.60% for ATs, 61.94% for A8s. Here the change is +4.29 and -30.83 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATs, all flops | 68.889 | 64.602 | +4.287 | 1.06636 |
| ATs, rainbow, ten or higher | 74.952 | 64.602 | +10.350 | 1.16021 |
| ATs, rainbow, nine or lower | 60.399 | 64.602 | -4.203 | 0.93494 |
| ATs, two-tone | 68.799 | 64.602 | +4.197 | 1.06497 |
| ATs, monotone | 63.337 | 64.602 | -1.265 | 0.98042 |
| ATs, paired | 65.902 | 64.602 | +1.300 | 1.02012 |
| A8s, all flops | 31.111 | 61.944 | -30.833 | 0.50224 |
| A8s, rainbow, ten or higher | 25.048 | 61.944 | -36.896 | 0.40437 |
| A8s, rainbow, nine or lower | 39.601 | 61.944 | -22.343 | 0.63930 |
| A8s, two-tone | 31.201 | 61.944 | -30.743 | 0.50370 |
| A8s, monotone | 36.663 | 61.944 | -25.281 | 0.59187 |
| A8s, paired | 34.098 | 61.944 | -27.846 | 0.55046 |
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 | A8s wins | ATs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 64.067 | 9.644 | 26.289 | 68.889 |
How often this matchup comes up
ATs against A8s is made up of 12 specific-card matchups in one seat order, 0.0007% of the 1,624,350 ordered deals, and 24 counting both seat orders, 0.0015%.
A worked example
Take a $200 pot built from $100 each. ATs' equity of 68.89% is worth $137.78, a $37.78 edge, and A8s' 31.11% is worth $62.22, which is $37.78 under its stake.
Over a long run, 1,000 deals split into about 641 for ATs, 263 for A8s and 96 tied.
The same matchup from the other side
The reversed view, A8s against ATs, shows 31.11% for A8s and 68.89% for ATs. It is the same count, so it redirects here.
Keep exploring
AsTs against Ah8h is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
All 1,712,304 five-card boards are dealt for every suit pattern among the 12 specific deals of ATs against A8s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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