97s
62.83%
Wins 61.40%, ties 2.86%
65s
37.17%
Wins 35.74%, ties 2.86%
97s against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 97s | 61.396 | 2.858 | 35.746 | 62.825 |
| 65s | 35.746 | 2.858 | 61.396 | 37.175 |
Both hands are suited hands: 97s and 65s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Of every 100 boards, about 2.86 are split pots, and the equity figures already include them.
For context, 97s sits at number 94 of 169 starting hands and 65s at number 128 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 97s | 16,821,000 | 783,000 | 9,793,000 |
| 65s | 9,793,000 | 783,000 | 16,821,000 |
The board total is exact, 16 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 | 1.690 | 1.629 | 2.798 | 0.592 |
| 65s | 0.592 | 2.798 | 1.629 | 1.690 |
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
The flop changes the picture. 97s does best on rainbow flops topped by a ten or better, at 65.37%, and worst on low rainbow flops (nine high or lower), at 54.33%. 97s stays ahead on all five textures.
| Flop | Share of flops | 97s wins | Ties | 65s wins | 97s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 64.280 | 2.183 | 33.537 | 65.371 |
| Rainbow, nine or lower | 5.065 | 54.131 | 0.389 | 45.480 | 54.325 |
| Two-tone | 46.727 | 61.679 | 1.691 | 36.630 | 62.524 |
| Monotone | 5.273 | 58.056 | 4.396 | 37.548 | 60.254 |
| Paired | 17.091 | 59.442 | 7.327 | 33.231 | 63.106 |
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
Against one random hand instead, 97s holds 49.12% and 65s holds 43.13%. Facing each other changes that by +13.71 points for 97s and -5.96 points for 65s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 97s, all flops | 62.825 | 49.118 | +13.707 | 1.27906 |
| 97s, rainbow, ten or higher | 65.371 | 49.118 | +16.253 | 1.33090 |
| 97s, rainbow, nine or lower | 54.325 | 49.118 | +5.207 | 1.10601 |
| 97s, two-tone | 62.524 | 49.118 | +13.406 | 1.27293 |
| 97s, monotone | 60.254 | 49.118 | +11.136 | 1.22672 |
| 97s, paired | 63.106 | 49.118 | +13.988 | 1.28478 |
| 65s, all flops | 37.175 | 43.133 | -5.958 | 0.86187 |
| 65s, rainbow, ten or higher | 34.629 | 43.133 | -8.504 | 0.80284 |
| 65s, rainbow, nine or lower | 45.675 | 43.133 | +2.542 | 1.05893 |
| 65s, two-tone | 37.476 | 43.133 | -5.657 | 0.86885 |
| 65s, monotone | 39.746 | 43.133 | -3.387 | 0.92148 |
| 65s, paired | 36.894 | 43.133 | -6.239 | 0.85535 |
Does a shared suit matter?
The suit split reads 65.23% for 97s with a shared suit and 62.02% without one. 97s does better with a shared suit, by 3.21 points.
| Deals | Specific deals | Share of deals | 97s wins | Ties | 65s wins | 97s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.687 | 3.077 | 33.236 | 65.225 |
| No shared suit | 12 | 75.00 | 60.632 | 2.785 | 36.583 | 62.024 |
How often this matchup comes up
97s against 65s 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
Say each player puts $100 in before the flop, making a $200 pot. On average 97s takes back $125.66 of it, which is $25.66 more than it put in, and 65s takes back $74.34, $25.66 less than it put in.
A thousand deals look like this: 97s takes 614, 65s takes 357, 29 are ties.
The same matchup from the other side
One page covers both views. From 65s' side the equity is 37.17%, and from 97s' side it is 62.83%.
Keep exploring
Open the calculator with 9s7s against 6h5h 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
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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