QJo
42.19%
Wins 41.85%, ties 0.68%
K9o
57.81%
Wins 57.47%, ties 0.68%
QJo against K9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QJo | 41.849 | 0.676 | 57.475 | 42.187 |
| K9o | 57.475 | 0.676 | 41.849 | 57.813 |
Here offsuit hands face each other, QJo on one side and K9o on the other. 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. Ties are part of the picture: 0.68% of boards end in a split pot, and each side counts that as half a win.
In the ranking of all 169 starting hands, QJo is number 39 and K9o is number 40.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QJo | 103,188,000 | 1,667,000 | 141,717,000 |
| K9o | 141,717,000 | 1,667,000 | 103,188,000 |
The total is exact: 144 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| QJo | 0.730 | 2.390 | 1.740 | 1.370 |
| K9o | 1.370 | 1.740 | 2.390 | 0.730 |
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, K9o peaks at 74.58% on low rainbow flops (nine high or lower) and bottoms out at 51.64% on rainbow flops topped by a ten or better. K9o stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | QJo wins | Ties | K9o wins | QJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.110 | 48.223 | 0.272 | 51.505 | 48.359 |
| Rainbow, nine or lower | 7.042 | 24.916 | 1.003 | 74.081 | 25.417 |
| Two-tone | 46.606 | 43.129 | 0.424 | 56.447 | 43.341 |
| Monotone | 5.151 | 43.899 | 1.810 | 54.291 | 44.804 |
| Paired | 17.091 | 35.727 | 1.458 | 62.815 | 36.456 |
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
A random hand would give QJo 58.14% and K9o 57.81%. Against each other the change is -15.95 points for QJo and +0.00 for K9o.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QJo, all flops | 42.187 | 58.135 | -15.948 | 0.72567 |
| QJo, rainbow, ten or higher | 48.359 | 58.135 | -9.776 | 0.83184 |
| QJo, rainbow, nine or lower | 25.417 | 58.135 | -32.718 | 0.43721 |
| QJo, two-tone | 43.341 | 58.135 | -14.794 | 0.74552 |
| QJo, monotone | 44.804 | 58.135 | -13.331 | 0.77069 |
| QJo, paired | 36.456 | 58.135 | -21.679 | 0.62709 |
| K9o, all flops | 57.813 | 57.812 | +0.001 | 1.00002 |
| K9o, rainbow, ten or higher | 51.641 | 57.812 | -6.171 | 0.89326 |
| K9o, rainbow, nine or lower | 74.583 | 57.812 | +16.771 | 1.29010 |
| K9o, two-tone | 56.659 | 57.812 | -1.153 | 0.98006 |
| K9o, monotone | 55.196 | 57.812 | -2.616 | 0.95475 |
| K9o, paired | 63.544 | 57.812 | +5.732 | 1.09915 |
Does a shared suit matter?
Split by suits, the deals give K9o 57.82% when the hands overlap in a suit and 57.76% when they do not. The two rows differ by only 0.06 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | QJo wins | Ties | K9o wins | QJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 120 | 83.33 | 41.830 | 0.692 | 57.478 | 42.176 |
| No shared suit | 24 | 16.67 | 41.944 | 0.597 | 57.459 | 42.242 |
How often this matchup comes up
You will meet this exact matchup 0.0177% of the time in a random heads-up deal: 288 of 1,624,350, counting either seat order.
A worked example
With $100 from each side, the $200 pot is split on average as $115.62 for K9o and $84.38 for QJo; the first side gains $15.62 per all-in and the second gives up $15.62.
In 1,000 deals of exactly this matchup, expect about 575 won outright by K9o, about 418 won outright by QJo and about 7 split.
The same matchup from the other side
Swap the hands and you get K9o with 57.81% against QJo with 42.19%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
The calculator link fills in QsJh against Kd9c, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
We counted every case. Each suit pattern of the 144 specific QJo against K9o deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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