71.79%
Wins 71.59%, ties 0.39%
K9o
28.21%
Wins 28.02%, ties 0.39%
QQ against K9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 71.594 | 0.388 | 28.018 | 71.788 | |
| K9o | 28.018 | 0.388 | 71.594 | 28.212 |
The first hand is a pocket pair; the second is an offsuit hand. One of the other hand's cards outranks the pair and one is below it, which makes this a closer race than a pair against two small cards.
QQ is well ahead, and K9o needs a specific kind of board to catch up. Of every 100 boards, about 0.39 are split pots, and the equity figures already include them.
In the ranking of all 169 starting hands, QQ is number 3 and K9o is number 40.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 88,265,000 | 478,000 | 34,542,000 | |
| K9o | 34,542,000 | 478,000 | 88,265,000 |
72 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| 2.545 | 1.397 | 3.569 | 0.393 | |
| K9o | 0.393 | 3.569 | 1.397 | 2.545 |
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, QQ peaks at 82.00% on low rainbow flops (nine high or lower) and bottoms out at 67.02% on monotone flops. QQ stays ahead on all five textures.
| Flop | Share of flops | QQ wins | Ties | K9o wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 68.540 | 0.160 | 31.300 | 68.620 |
| Rainbow, nine or lower | 7.042 | 81.446 | 1.099 | 17.455 | 81.995 |
| Two-tone | 46.485 | 70.959 | 0.357 | 28.684 | 71.138 |
| Monotone | 5.151 | 66.157 | 1.731 | 32.112 | 67.023 |
| Paired | 17.334 | 75.136 | 0.099 | 24.765 | 75.185 |
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
Relative to a random opponent, QQ changes by -8.14 points (baseline 79.93%) and K9o by -29.60 points (baseline 57.81%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 71.788 | 79.925 | -8.137 | 0.89819 |
| QQ, rainbow, ten or higher | 68.620 | 79.925 | -11.305 | 0.85855 |
| QQ, rainbow, nine or lower | 81.995 | 79.925 | +2.070 | 1.02590 |
| QQ, two-tone | 71.138 | 79.925 | -8.787 | 0.89006 |
| QQ, monotone | 67.023 | 79.925 | -12.902 | 0.83857 |
| QQ, paired | 75.185 | 79.925 | -4.740 | 0.94069 |
| K9o, all flops | 28.212 | 57.812 | -29.600 | 0.48800 |
| K9o, rainbow, ten or higher | 31.380 | 57.812 | -26.432 | 0.54279 |
| K9o, rainbow, nine or lower | 18.005 | 57.812 | -39.807 | 0.31144 |
| K9o, two-tone | 28.862 | 57.812 | -28.950 | 0.49924 |
| K9o, monotone | 32.977 | 57.812 | -24.835 | 0.57042 |
| K9o, paired | 24.815 | 57.812 | -32.997 | 0.42924 |
Does a shared suit matter?
Two kinds of deal exist here. In 60 of them the hands share a suit and QQ holds 71.82%. In 12 they do not, and it holds 71.61%. The two rows differ by only 0.21 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | QQ wins | Ties | K9o wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 71.622 | 0.404 | 27.974 | 71.824 |
| No shared suit | 12 | 16.67 | 71.455 | 0.308 | 28.237 | 71.609 |
How often this matchup comes up
QQ against K9o is made up of 72 specific-card matchups in one seat order, 0.0044% of the 1,624,350 ordered deals, and 144 counting both seat orders, 0.0089%.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average QQ takes back $143.58 of it, which is $43.58 more than it put in, and K9o takes back $56.42, $43.58 less than it put in.
Think in thousands: about 716 of 1,000 go to QQ, about 280 go to K9o, and about 4 are chopped.
The same matchup from the other side
Read it from the other side: K9o against QQ is the same matchup with the numbers swapped, so K9o holds 28.21% and QQ holds 71.79%. That address sends you back to this page.
Keep exploring
Try QsQh against Kd9c 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 72 deals of QQ against K9o 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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