A6s
56.72%
Wins 56.48%, ties 0.47%
97s
43.28%
Wins 43.05%, ties 0.47%
A6s against 97s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A6s | 56.483 | 0.465 | 43.052 | 56.715 |
| 97s | 43.052 | 0.465 | 56.483 | 43.285 |
Two suited hands meet here: A6s against 97s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
The lead is steady rather than large, and the flop still has plenty of say in who wins. 0.47% of boards are ties, so the equity of each hand is its win rate plus half of that.
Ranked by equity against a random hand, A6s is number 31 of the 169 starting hands and 97s is number 94.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A6s | 15,475,000 | 127,000 | 11,795,000 |
| 97s | 11,795,000 | 127,000 | 15,475,000 |
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) |
|---|---|---|---|---|
| A6s | 1.310 | 1.770 | 2.323 | 0.763 |
| 97s | 0.763 | 2.323 | 1.770 | 1.310 |
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
Paired flops are the best for A6s (62.19%); low rainbow flops (nine high or lower) are the worst (39.26%). Low rainbow flops (nine high or lower) favor 97s, the hand that is behind overall.
| Flop | Share of flops | A6s wins | Ties | 97s wins | A6s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 59.622 | 0.188 | 40.190 | 59.716 |
| Rainbow, nine or lower | 5.689 | 39.040 | 0.444 | 60.516 | 39.262 |
| Two-tone | 46.727 | 55.395 | 0.216 | 44.389 | 55.503 |
| Monotone | 5.273 | 52.518 | 3.389 | 44.093 | 54.213 |
| Paired | 17.091 | 61.857 | 0.657 | 37.486 | 62.185 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Start from the random-hand figures, 59.91% for A6s and 49.12% for 97s. This opponent changes them by -3.19 and -5.84 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A6s, all flops | 56.715 | 59.906 | -3.191 | 0.94673 |
| A6s, rainbow, ten or higher | 59.716 | 59.906 | -0.190 | 0.99683 |
| A6s, rainbow, nine or lower | 39.262 | 59.906 | -20.644 | 0.65539 |
| A6s, two-tone | 55.503 | 59.906 | -4.403 | 0.92650 |
| A6s, monotone | 54.213 | 59.906 | -5.693 | 0.90497 |
| A6s, paired | 62.185 | 59.906 | +2.279 | 1.03804 |
| 97s, all flops | 43.285 | 49.118 | -5.833 | 0.88125 |
| 97s, rainbow, ten or higher | 40.284 | 49.118 | -8.834 | 0.82015 |
| 97s, rainbow, nine or lower | 60.738 | 49.118 | +11.620 | 1.23657 |
| 97s, two-tone | 44.497 | 49.118 | -4.621 | 0.90592 |
| 97s, monotone | 45.787 | 49.118 | -3.331 | 0.93218 |
| 97s, paired | 37.815 | 49.118 | -11.303 | 0.76988 |
Does a shared suit matter?
Split by suits, the deals give A6s 58.57% when the hands overlap in a suit and 56.10% when they do not. A6s does better with a shared suit, by 2.47 points.
| Deals | Specific deals | Share of deals | A6s wins | Ties | 97s wins | A6s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 58.305 | 0.539 | 41.156 | 58.574 |
| No shared suit | 12 | 75.00 | 55.876 | 0.440 | 43.684 | 56.096 |
How often this matchup comes up
Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. A6s averages $113.44 from the $200, up $13.44; 97s averages $86.56, down $13.44.
Think in thousands: about 565 of 1,000 go to A6s, about 430 go to 97s, and about 5 are chopped.
The same matchup from the other side
If you came looking for 97s against A6s, the numbers are the same with the hands swapped: 43.28% and 56.72%.
Keep exploring
Try As6s 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
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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