Q9s
62.05%
Wins 61.60%, ties 0.90%
76s
37.95%
Wins 37.50%, ties 0.90%
Q9s against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| Q9s | 61.603 | 0.902 | 37.495 | 62.054 |
| 76s | 37.495 | 0.902 | 61.603 | 37.946 |
The matchup is suited hands on both sides, Q9s against 76s. 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. Split pots make up 0.90% of the boards, and both equity figures count them as half a win each.
The hand ranking puts Q9s at 43 and 76s at 115 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| Q9s | 16,877,000 | 247,000 | 10,272,000 |
| 76s | 10,272,000 | 247,000 | 16,877,000 |
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) |
|---|---|---|---|---|
| Q9s | 1.635 | 1.623 | 2.667 | 0.611 |
| 76s | 0.611 | 2.667 | 1.623 | 1.635 |
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
Split by what the flop looks like, Q9s peaks at 66.47% on rainbow flops topped by a ten or better and bottoms out at 43.87% on low rainbow flops (nine high or lower). 76s 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 | Q9s wins | Ties | 76s wins | Q9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 66.242 | 0.452 | 33.306 | 66.468 |
| Rainbow, nine or lower | 5.689 | 43.658 | 0.417 | 55.925 | 43.867 |
| Two-tone | 46.727 | 61.217 | 0.414 | 38.369 | 61.424 |
| Monotone | 5.273 | 57.612 | 3.528 | 38.860 | 59.376 |
| Paired | 17.091 | 63.017 | 2.253 | 34.730 | 64.143 |
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
Against one random hand instead, Q9s holds 57.66% and 76s holds 45.37%. Facing each other changes that by +4.39 points for Q9s and -7.42 points for 76s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| Q9s, all flops | 62.054 | 57.664 | +4.390 | 1.07613 |
| Q9s, rainbow, ten or higher | 66.468 | 57.664 | +8.804 | 1.15268 |
| Q9s, rainbow, nine or lower | 43.867 | 57.664 | -13.797 | 0.76073 |
| Q9s, two-tone | 61.424 | 57.664 | +3.760 | 1.06521 |
| Q9s, monotone | 59.376 | 57.664 | +1.712 | 1.02969 |
| Q9s, paired | 64.143 | 57.664 | +6.479 | 1.11236 |
| 76s, all flops | 37.946 | 45.372 | -7.426 | 0.83633 |
| 76s, rainbow, ten or higher | 33.532 | 45.372 | -11.840 | 0.73905 |
| 76s, rainbow, nine or lower | 56.133 | 45.372 | +10.761 | 1.23717 |
| 76s, two-tone | 38.576 | 45.372 | -6.796 | 0.85022 |
| 76s, monotone | 40.624 | 45.372 | -4.748 | 0.89535 |
| 76s, paired | 35.857 | 45.372 | -9.515 | 0.79029 |
Does a shared suit matter?
The suit split reads 64.32% for Q9s with a shared suit and 61.30% without one. Q9s does better with a shared suit, by 3.02 points.
| Deals | Specific deals | Share of deals | Q9s wins | Ties | 76s wins | Q9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.823 | 0.999 | 35.178 | 64.322 |
| No shared suit | 12 | 75.00 | 60.863 | 0.870 | 38.267 | 61.298 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 16 are Q9s in one seat and 76s in the other (0.0010%); with the seats swapped too, 32 (0.0020%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. Q9s is worth $124.10 on average (+$24.10); 76s is worth $75.90 (-$24.10).
In 1,000 deals of exactly this matchup, expect about 616 won outright by Q9s, about 375 won outright by 76s and about 9 split.
The same matchup from the other side
One page covers both views. From 76s' side the equity is 37.95%, and from Q9s' side it is 62.05%.
Keep exploring
Try Qs9s against 7h6h 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
Nothing here is simulated. The 16 deals of Q9s against 76s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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