Q9s
61.87%
Wins 61.40%, ties 0.94%
65s
38.13%
Wins 37.66%, ties 0.94%
Q9s against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| Q9s | 61.403 | 0.942 | 37.655 | 61.874 |
| 65s | 37.655 | 0.942 | 61.403 | 38.126 |
Here suited hands face each other, Q9s on one side and 65s on the other. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
The lead is steady rather than large, and the flop still has plenty of say in who wins. A split pot comes up on 0.94% of boards, so the wins and the equity differ by half of that.
Place 43 of 169 belongs to Q9s and place 128 belongs to 65s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| Q9s | 16,822,000 | 258,000 | 10,316,000 |
| 65s | 10,316,000 | 258,000 | 16,822,000 |
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 | 1.623 | 1.629 | 2.656 | 0.616 |
| 65s | 0.616 | 2.656 | 1.629 | 1.623 |
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
If you know the kind of flop that came, the numbers shift: Q9s holds 66.59% on rainbow flops topped by a ten or better and 41.97% on low rainbow flops (nine high or lower). 65s is ahead on low rainbow flops (nine high or lower), even though it trails Q9s when every flop is counted.
| Flop | Share of flops | Q9s wins | Ties | 65s wins | Q9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 66.357 | 0.459 | 33.184 | 66.586 |
| Rainbow, nine or lower | 5.689 | 41.644 | 0.643 | 57.713 | 41.966 |
| Two-tone | 46.727 | 61.009 | 0.457 | 38.534 | 61.237 |
| Monotone | 5.273 | 57.535 | 3.587 | 38.878 | 59.329 |
| Paired | 17.091 | 62.945 | 2.261 | 34.794 | 64.076 |
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
Each hand has a baseline against a random hand: 57.66% for Q9s, 43.13% for 65s. Here the change is +4.21 and -5.00 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| Q9s, all flops | 61.874 | 57.664 | +4.210 | 1.07301 |
| Q9s, rainbow, ten or higher | 66.586 | 57.664 | +8.922 | 1.15472 |
| Q9s, rainbow, nine or lower | 41.966 | 57.664 | -15.698 | 0.72777 |
| Q9s, two-tone | 61.237 | 57.664 | +3.573 | 1.06196 |
| Q9s, monotone | 59.329 | 57.664 | +1.665 | 1.02887 |
| Q9s, paired | 64.076 | 57.664 | +6.412 | 1.11120 |
| 65s, all flops | 38.126 | 43.133 | -5.007 | 0.88392 |
| 65s, rainbow, ten or higher | 33.414 | 43.133 | -9.719 | 0.77467 |
| 65s, rainbow, nine or lower | 58.034 | 43.133 | +14.901 | 1.34547 |
| 65s, two-tone | 38.763 | 43.133 | -4.370 | 0.89869 |
| 65s, monotone | 40.671 | 43.133 | -2.462 | 0.94292 |
| 65s, paired | 35.924 | 43.133 | -7.209 | 0.83287 |
Does a shared suit matter?
Split by suits, the deals give Q9s 64.09% when the hands overlap in a suit and 61.14% when they do not. Q9s does better with a shared suit, by 2.95 points.
| Deals | Specific deals | Share of deals | Q9s wins | Ties | 65s wins | Q9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.567 | 1.041 | 35.392 | 64.087 |
| No shared suit | 12 | 75.00 | 60.683 | 0.908 | 38.409 | 61.137 |
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
Worked example: both players commit $100, so $200 sits in the middle. Over every board, Q9s' average share is $123.74 (a gain of $23.74) and 65s' is $76.26 (a loss of $23.74).
Over a long run, 1,000 deals split into about 614 for Q9s, 377 for 65s and 9 tied.
The same matchup from the other side
Read it from the other side: 65s against Q9s is the same matchup with the numbers swapped, so 65s holds 38.13% and Q9s holds 61.87%. That address sends you back to this page.
Keep exploring
Open the calculator with Qs9s 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 16 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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