ATo
60.42%
Wins 60.22%, ties 0.41%
97s
39.58%
Wins 39.37%, ties 0.41%
ATo against 97s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATo | 60.218 | 0.412 | 39.370 | 60.424 |
| 97s | 39.370 | 0.412 | 60.218 | 39.576 |
ATo is an offsuit hand and 97s is a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Split pots make up 0.41% of the boards, and both equity figures count them as half a win each.
In the ranking of all 169 starting hands, ATo is number 19 and 97s is number 94.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATo | 49,494,000 | 339,000 | 32,358,000 |
| 97s | 32,358,000 | 339,000 | 49,494,000 |
Exact total: 48 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) |
|---|---|---|---|---|
| ATo | 1.527 | 1.661 | 2.540 | 0.655 |
| 97s | 0.655 | 2.540 | 1.661 | 1.527 |
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
If you know the kind of flop that came, the numbers shift: ATo holds 67.64% on rainbow flops topped by a ten or better and 38.11% on low rainbow flops (nine high or lower). 97s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.
| Flop | Share of flops | ATo wins | Ties | 97s wins | ATo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 67.545 | 0.194 | 32.261 | 67.642 |
| Rainbow, nine or lower | 6.313 | 37.892 | 0.430 | 61.678 | 38.107 |
| Two-tone | 46.667 | 58.692 | 0.226 | 41.082 | 58.805 |
| Monotone | 5.212 | 57.385 | 2.345 | 40.270 | 58.557 |
| Paired | 17.091 | 62.899 | 0.641 | 36.460 | 63.219 |
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
Each hand has a baseline against a random hand: 62.72% for ATo, 49.12% for 97s. Here the change is -2.30 and -9.54 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATo, all flops | 60.424 | 62.722 | -2.298 | 0.96336 |
| ATo, rainbow, ten or higher | 67.642 | 62.722 | +4.920 | 1.07844 |
| ATo, rainbow, nine or lower | 38.107 | 62.722 | -24.615 | 0.60755 |
| ATo, two-tone | 58.805 | 62.722 | -3.917 | 0.93755 |
| ATo, monotone | 58.557 | 62.722 | -4.165 | 0.93360 |
| ATo, paired | 63.219 | 62.722 | +0.497 | 1.00792 |
| 97s, all flops | 39.576 | 49.118 | -9.542 | 0.80573 |
| 97s, rainbow, ten or higher | 32.358 | 49.118 | -16.760 | 0.65878 |
| 97s, rainbow, nine or lower | 61.893 | 49.118 | +12.775 | 1.26009 |
| 97s, two-tone | 41.195 | 49.118 | -7.923 | 0.83869 |
| 97s, monotone | 41.443 | 49.118 | -7.675 | 0.84374 |
| 97s, paired | 36.781 | 49.118 | -12.337 | 0.74883 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and ATo holds 61.11%. In 24 they do not, and it holds 59.74%. ATo does better with a shared suit, by 1.37 points.
| Deals | Specific deals | Share of deals | ATo wins | Ties | 97s wins | ATo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.883 | 0.454 | 38.663 | 61.110 |
| No shared suit | 24 | 50.00 | 59.553 | 0.371 | 40.076 | 59.738 |
How often this matchup comes up
Exactly 48 specific deals fit this matchup in one seat order, which is 0.0030% of 1,624,350; both orders together give 96, or 0.0059%.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. ATo is worth $120.84 on average (+$20.84); 97s is worth $79.16 (-$20.84).
Over a long run, 1,000 deals split into about 602 for ATo, 394 for 97s and 4 tied.
The same matchup from the other side
Read it from the other side: 97s against ATo is the same matchup with the numbers swapped, so 97s holds 39.58% and ATo holds 60.42%. That address sends you back to this page.
Keep exploring
Open the calculator with AsTh against 9d7d 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 48 specific deals of ATo against 97s, 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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