97s
66.81%
Wins 62.11%, ties 9.41%
76s
33.19%
Wins 28.48%, ties 9.41%
97s against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 97s | 62.109 | 9.408 | 28.483 | 66.813 |
| 76s | 28.483 | 9.408 | 62.109 | 33.187 |
Here suited hands face each other, 97s on one side and 76s on the other. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
That is a clear edge, 66.81% to 33.19%, but 76s still wins often enough that one hand proves nothing. Ties are part of the picture: 9.41% of boards end in a split pot, and each side counts that as half a win.
For context, 97s sits at number 94 of 169 starting hands and 76s at number 115 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 97s | 12,762,000 | 1,933,000 | 5,853,000 |
| 76s | 5,853,000 | 1,933,000 | 12,762,000 |
The board total is exact, 12 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| 97s | 2.013 | 1.610 | 3.511 | 0.497 |
| 76s | 0.497 | 3.511 | 1.610 | 2.013 |
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
Split by what the flop looks like, 97s peaks at 69.97% on rainbow flops topped by a ten or better and bottoms out at 60.51% on low rainbow flops (nine high or lower). 97s stays ahead on all five textures.
| Flop | Share of flops | 97s wins | Ties | 76s wins | 97s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 65.506 | 8.934 | 25.560 | 69.973 |
| Rainbow, nine or lower | 5.065 | 57.750 | 5.528 | 36.722 | 60.514 |
| Two-tone | 46.543 | 62.167 | 7.675 | 30.158 | 66.005 |
| Monotone | 5.215 | 56.673 | 9.084 | 34.243 | 61.215 |
| Paired | 17.333 | 59.797 | 15.997 | 24.206 | 67.796 |
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, 49.12% for 97s and 45.37% for 76s. This opponent changes them by +17.69 and -12.18 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 97s, all flops | 66.813 | 49.118 | +17.695 | 1.36025 |
| 97s, rainbow, ten or higher | 69.973 | 49.118 | +20.855 | 1.42459 |
| 97s, rainbow, nine or lower | 60.514 | 49.118 | +11.396 | 1.23201 |
| 97s, two-tone | 66.005 | 49.118 | +16.887 | 1.34380 |
| 97s, monotone | 61.215 | 49.118 | +12.097 | 1.24628 |
| 97s, paired | 67.796 | 49.118 | +18.678 | 1.38027 |
| 76s, all flops | 33.187 | 45.372 | -12.185 | 0.73144 |
| 76s, rainbow, ten or higher | 30.027 | 45.372 | -15.345 | 0.66180 |
| 76s, rainbow, nine or lower | 39.486 | 45.372 | -5.886 | 0.87027 |
| 76s, two-tone | 33.995 | 45.372 | -11.377 | 0.74925 |
| 76s, monotone | 38.785 | 45.372 | -6.587 | 0.85482 |
| 76s, paired | 32.204 | 45.372 | -13.168 | 0.70978 |
Does a shared suit matter?
For this pair the shared-suit row is empty: the two hands cannot both own a card of one suit without reusing a card.
| Deals | Specific deals | Share of deals | 97s wins | Ties | 76s wins | 97s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 62.109 | 9.408 | 28.483 | 66.813 |
How often this matchup comes up
How often does it happen? 12 of the 1,624,350 ordered deals (0.0007%) are 97s against 76s, and 24 (0.0015%) if either hand may sit in either seat.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average 97s takes back $133.62 of it, which is $33.62 more than it put in, and 76s takes back $66.38, $33.62 less than it put in.
A thousand deals look like this: 97s takes 621, 76s takes 285, 94 are ties.
The same matchup from the other side
76s against 97s adds nothing new: it is 33.19% for 76s and 66.81% for 97s, the same figures reversed.
Keep exploring
The calculator link fills in 9s7s against 7h6h, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
Method: exact enumeration. The 12 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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