K9s
59.93%
Wins 59.59%, ties 0.68%
QJo
40.07%
Wins 39.73%, ties 0.68%
K9s against QJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9s | 59.589 | 0.681 | 39.730 | 59.930 |
| QJo | 39.730 | 0.681 | 59.589 | 40.070 |
K9s, a suited hand, plays QJo, an offsuit hand. 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 0.68% of boards, so the wins and the equity differ by half of that.
Among the 169 starting hands, K9s is number 29 and QJo is number 39 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9s | 48,977,000 | 560,000 | 32,654,000 |
| QJo | 32,654,000 | 560,000 | 48,977,000 |
Exact total: 48 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| K9s | 1.496 | 1.678 | 2.517 | 0.669 |
| QJo | 0.669 | 2.517 | 1.678 | 1.496 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
K9s prefers low rainbow flops (nine high or lower), where it holds 75.56%, and likes rainbow flops topped by a ten or better least, where it holds 53.06%. K9s 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 | K9s wins | Ties | QJo wins | K9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 52.932 | 0.264 | 46.804 | 53.064 |
| Rainbow, nine or lower | 7.042 | 75.079 | 0.961 | 23.960 | 75.559 |
| Two-tone | 46.667 | 59.384 | 0.390 | 40.226 | 59.579 |
| Monotone | 5.212 | 55.121 | 2.460 | 42.419 | 56.351 |
| Paired | 17.091 | 64.473 | 1.406 | 34.121 | 65.176 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
Relative to a random opponent, K9s changes by -0.06 points (baseline 59.99%) and QJo by -18.07 points (baseline 58.14%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9s, all flops | 59.930 | 59.988 | -0.058 | 0.99903 |
| K9s, rainbow, ten or higher | 53.064 | 59.988 | -6.924 | 0.88458 |
| K9s, rainbow, nine or lower | 75.559 | 59.988 | +15.571 | 1.25957 |
| K9s, two-tone | 59.579 | 59.988 | -0.409 | 0.99318 |
| K9s, monotone | 56.351 | 59.988 | -3.637 | 0.93937 |
| K9s, paired | 65.176 | 59.988 | +5.188 | 1.08648 |
| QJo, all flops | 40.070 | 58.135 | -18.065 | 0.68926 |
| QJo, rainbow, ten or higher | 46.936 | 58.135 | -11.199 | 0.80736 |
| QJo, rainbow, nine or lower | 24.441 | 58.135 | -33.694 | 0.42042 |
| QJo, two-tone | 40.421 | 58.135 | -17.714 | 0.69530 |
| QJo, monotone | 43.649 | 58.135 | -14.486 | 0.75082 |
| QJo, paired | 34.824 | 58.135 | -23.311 | 0.59902 |
Does a shared suit matter?
The suit split reads 59.62% for K9s with a shared suit and 60.24% without one. K9s does better with no shared suit, by 0.62 points.
| Deals | Specific deals | Share of deals | K9s wins | Ties | QJo wins | K9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.254 | 0.722 | 40.024 | 59.615 |
| No shared suit | 24 | 50.00 | 59.924 | 0.641 | 39.435 | 60.244 |
How often this matchup comes up
This page stands for 48 specific-card matchups (0.0030% of 1,624,350 ordered deals), or 96 once you count the seats both ways (0.0059%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. K9s is worth $119.86 on average (+$19.86); QJo is worth $80.14 (-$19.86).
Out of 1,000 deals you should see around 596 outright wins for K9s, 397 for QJo, and 7 split pots.
The same matchup from the other side
If you came looking for QJo against K9s, the numbers are the same with the hands swapped: 40.07% and 59.93%.
Keep exploring
Open the calculator with Ks9s against QhJd 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
This is an exact count with no sampling. For the 48 ways to deal one K9s and one QJo without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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