Q9s
62.78%
Wins 62.32%, ties 0.91%
87s
37.22%
Wins 36.77%, ties 0.91%
Q9s against 87s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| Q9s | 62.321 | 0.914 | 36.765 | 62.778 |
| 87s | 36.765 | 0.914 | 62.321 | 37.222 |
Both hands are suited hands: Q9s and 87s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Ties are 0.91% of the outcomes here; each tied board gives both hands half the pot.
Q9s ranks number 43 of 169 starting hands, and 87s ranks number 100, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| Q9s | 17,074,000 | 250,000 | 10,072,000 |
| 87s | 10,072,000 | 250,000 | 17,074,000 |
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 | 1.687 | 1.605 | 2.720 | 0.593 |
| 87s | 0.593 | 2.720 | 1.605 | 1.687 |
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
Break the boards down by their first three cards and Q9s is strongest on rainbow flops topped by a ten or better (66.78%) and weakest on low rainbow flops (nine high or lower) (47.05%). The lead reverses on low rainbow flops (nine high or lower): there 87s is the favorite even though Q9s is ahead overall.
| Flop | Share of flops | Q9s wins | Ties | 87s wins | Q9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 66.535 | 0.490 | 32.975 | 66.780 |
| Rainbow, nine or lower | 5.689 | 46.874 | 0.359 | 52.767 | 47.053 |
| Two-tone | 46.727 | 61.934 | 0.429 | 37.637 | 62.148 |
| Monotone | 5.273 | 58.112 | 3.524 | 38.364 | 59.874 |
| Paired | 17.091 | 63.604 | 2.244 | 34.152 | 64.726 |
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
How much does the opponent matter? Compared with its random-hand 57.66%, Q9s changes by +5.12 points, and 87s, from 47.94%, by -10.72.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| Q9s, all flops | 62.778 | 57.664 | +5.114 | 1.08869 |
| Q9s, rainbow, ten or higher | 66.780 | 57.664 | +9.116 | 1.15809 |
| Q9s, rainbow, nine or lower | 47.053 | 57.664 | -10.611 | 0.81599 |
| Q9s, two-tone | 62.148 | 57.664 | +4.484 | 1.07776 |
| Q9s, monotone | 59.874 | 57.664 | +2.210 | 1.03833 |
| Q9s, paired | 64.726 | 57.664 | +7.062 | 1.12247 |
| 87s, all flops | 37.222 | 47.936 | -10.714 | 0.77649 |
| 87s, rainbow, ten or higher | 33.220 | 47.936 | -14.716 | 0.69301 |
| 87s, rainbow, nine or lower | 52.947 | 47.936 | +5.011 | 1.10454 |
| 87s, two-tone | 37.852 | 47.936 | -10.084 | 0.78964 |
| 87s, monotone | 40.126 | 47.936 | -7.810 | 0.83707 |
| 87s, paired | 35.274 | 47.936 | -12.662 | 0.73586 |
Does a shared suit matter?
Does suit overlap move the numbers? Q9s has 65.15% when the hands share a suit and 61.99% when they do not. Q9s does better with a shared suit, by 3.16 points.
| Deals | Specific deals | Share of deals | Q9s wins | Ties | 87s wins | Q9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.643 | 1.010 | 34.347 | 65.148 |
| No shared suit | 12 | 75.00 | 61.547 | 0.882 | 37.571 | 61.988 |
How often this matchup comes up
The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average Q9s takes back $125.56 of it, which is $25.56 more than it put in, and 87s takes back $74.44, $25.56 less than it put in.
Out of 1,000 deals you should see around 623 outright wins for Q9s, 368 for 87s, and 9 split pots.
The same matchup from the other side
If you came looking for 87s against Q9s, the numbers are the same with the hands swapped: 37.22% and 62.78%.
Keep exploring
Try Qs9s against 8h7h 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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