A7s
68.34%
Wins 67.29%, ties 2.08%
97s
31.66%
Wins 30.63%, ties 2.08%
A7s against 97s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A7s | 67.294 | 2.081 | 30.625 | 68.335 |
| 97s | 30.625 | 2.081 | 67.294 | 31.665 |
Two suited hands meet here: A7s against 97s. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
That is a clear edge, 68.34% to 31.66%, but 97s still wins often enough that one hand proves nothing. The tie share is 2.08%: on those boards the pot is chopped and neither hand wins outright.
Place 24 of 169 belongs to A7s and place 94 belongs to 97s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A7s | 13,827,000 | 428,000 | 6,293,000 |
| 97s | 6,293,000 | 428,000 | 13,827,000 |
The total is exact: 12 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| A7s | 2.158 | 1.486 | 3.265 | 0.463 |
| 97s | 0.463 | 3.265 | 1.486 | 2.158 |
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
Break the boards down by their first three cards and A7s is strongest on paired flops (72.60%) and weakest on low rainbow flops (nine high or lower) (55.02%). A7s 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 | A7s wins | Ties | 97s wins | A7s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.254 | 71.653 | 1.469 | 26.878 | 72.388 |
| Rainbow, nine or lower | 5.654 | 52.696 | 4.651 | 42.653 | 55.022 |
| Two-tone | 46.543 | 65.970 | 1.783 | 32.247 | 66.862 |
| Monotone | 5.215 | 60.017 | 4.178 | 35.805 | 62.106 |
| Paired | 17.334 | 71.451 | 2.304 | 26.245 | 72.603 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of +7.36 points for A7s, from 60.98%, and -17.46 for 97s, from 49.12%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A7s, all flops | 68.335 | 60.984 | +7.351 | 1.12054 |
| A7s, rainbow, ten or higher | 72.388 | 60.984 | +11.404 | 1.18700 |
| A7s, rainbow, nine or lower | 55.022 | 60.984 | -5.962 | 0.90224 |
| A7s, two-tone | 66.862 | 60.984 | +5.878 | 1.09639 |
| A7s, monotone | 62.106 | 60.984 | +1.122 | 1.01840 |
| A7s, paired | 72.603 | 60.984 | +11.619 | 1.19053 |
| 97s, all flops | 31.665 | 49.118 | -17.453 | 0.64467 |
| 97s, rainbow, ten or higher | 27.612 | 49.118 | -21.506 | 0.56216 |
| 97s, rainbow, nine or lower | 44.978 | 49.118 | -4.140 | 0.91571 |
| 97s, two-tone | 33.138 | 49.118 | -15.980 | 0.67466 |
| 97s, monotone | 37.894 | 49.118 | -11.224 | 0.77149 |
| 97s, paired | 27.397 | 49.118 | -21.721 | 0.55778 |
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 | A7s wins | Ties | 97s wins | A7s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 67.294 | 2.081 | 30.625 | 68.335 |
How often this matchup comes up
Exactly 12 specific deals fit this matchup in one seat order, which is 0.0007% of 1,624,350; both orders together give 24, or 0.0015%.
A worked example
Put $100 each into a $200 pot and deal every board once: A7s averages $136.68 back, ahead of its $100 by $36.68, while 97s averages $63.32, short of its $100 by $36.68.
A thousand deals look like this: A7s takes 673, 97s takes 306, 21 are ties.
The same matchup from the other side
Swap the hands and you get 97s with 31.66% against A7s with 68.34%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Try As7s against 9h7h in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
This is an exact count with no sampling. For the 12 ways to deal one A7s and one 97s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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