ATs
62.90%
Wins 62.67%, ties 0.46%
97s
37.10%
Wins 36.87%, ties 0.46%
ATs against 97s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATs | 62.670 | 0.462 | 36.868 | 62.901 |
| 97s | 36.868 | 0.462 | 62.670 | 37.099 |
Two suited hands meet here: ATs against 97s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
ATs is ahead, but 97s is far from dead: it takes 369 of every 1,000 deals outright. Split pots make up 0.46% of the boards, and both equity figures count them as half a win each.
By strength against a random hand, ATs holds place 13 of 169 and 97s holds place 94.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATs | 17,170,000 | 127,000 | 10,101,000 |
| 97s | 10,101,000 | 127,000 | 17,170,000 |
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 | 1.695 | 1.596 | 2.712 | 0.590 |
| 97s | 0.590 | 2.712 | 1.596 | 1.695 |
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
Rainbow flops topped by a ten or better are the best for ATs (68.97%); low rainbow flops (nine high or lower) are the worst (40.48%). ATs is the favorite overall but falls behind on low rainbow flops (nine high or lower).
| Flop | Share of flops | ATs wins | Ties | 97s wins | ATs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 68.877 | 0.187 | 30.936 | 68.970 |
| Rainbow, nine or lower | 6.314 | 40.273 | 0.419 | 59.308 | 40.483 |
| Two-tone | 46.727 | 62.061 | 0.216 | 37.723 | 62.169 |
| Monotone | 5.273 | 58.209 | 3.390 | 38.401 | 59.904 |
| Paired | 17.091 | 65.055 | 0.641 | 34.304 | 65.376 |
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
Start from the random-hand figures, 64.60% for ATs and 49.12% for 97s. This opponent changes them by -1.70 and -12.02 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATs, all flops | 62.901 | 64.602 | -1.701 | 0.97367 |
| ATs, rainbow, ten or higher | 68.970 | 64.602 | +4.368 | 1.06761 |
| ATs, rainbow, nine or lower | 40.483 | 64.602 | -24.119 | 0.62665 |
| ATs, two-tone | 62.169 | 64.602 | -2.433 | 0.96234 |
| ATs, monotone | 59.904 | 64.602 | -4.698 | 0.92728 |
| ATs, paired | 65.376 | 64.602 | +0.774 | 1.01198 |
| 97s, all flops | 37.099 | 49.118 | -12.019 | 0.75530 |
| 97s, rainbow, ten or higher | 31.030 | 49.118 | -18.088 | 0.63174 |
| 97s, rainbow, nine or lower | 59.517 | 49.118 | +10.399 | 1.21171 |
| 97s, two-tone | 37.831 | 49.118 | -11.287 | 0.77021 |
| 97s, monotone | 40.096 | 49.118 | -9.022 | 0.81632 |
| 97s, paired | 34.624 | 49.118 | -14.494 | 0.70491 |
Does a shared suit matter?
Of the deals of this matchup, 4 share a suit (ATs at 65.27%) and 12 do not (62.11%). ATs does better with a shared suit, by 3.16 points.
| Deals | Specific deals | Share of deals | ATs wins | Ties | 97s wins | ATs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.005 | 0.536 | 34.459 | 65.273 |
| No shared suit | 12 | 75.00 | 61.892 | 0.437 | 37.671 | 62.111 |
How often this matchup comes up
ATs against 97s is made up of 16 specific-card matchups in one seat order, 0.0010% of the 1,624,350 ordered deals, and 32 counting both seat orders, 0.0020%.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. ATs is worth $125.80 on average (+$25.80); 97s is worth $74.20 (-$25.80).
In 1,000 deals of exactly this matchup, expect about 627 won outright by ATs, about 369 won outright by 97s and about 4 split.
The same matchup from the other side
The reversed view, 97s against ATs, shows 37.10% for 97s and 62.90% for ATs. It is the same count, so it redirects here.
Keep exploring
AsTs against 9h7h 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
Method: exact enumeration. The 16 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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