KJs
62.77%
Wins 62.41%, ties 0.71%
Q9s
37.23%
Wins 36.88%, ties 0.71%
KJs against Q9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJs | 62.410 | 0.713 | 36.877 | 62.767 |
| Q9s | 36.877 | 0.713 | 62.410 | 37.233 |
Two suited hands meet here: KJs against Q9s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 25.54 point lead is real, and Q9s still takes about 369 of every 1,000 deals outright. Ties are 0.71% of the outcomes here; each tied board gives both hands half the pot.
By strength against a random hand, KJs holds place 20 of 169 and Q9s holds place 43.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJs | 17,098,000 | 195,000 | 10,103,000 |
| Q9s | 10,103,000 | 195,000 | 17,098,000 |
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) |
|---|---|---|---|---|
| KJs | 1.686 | 1.602 | 2.712 | 0.593 |
| Q9s | 0.593 | 2.712 | 1.602 | 1.686 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
If you know the kind of flop that came, the numbers shift: KJs holds 65.25% on paired flops and 58.06% on low rainbow flops (nine high or lower). KJs stays ahead on all five textures.
| Flop | Share of flops | KJs wins | Ties | Q9s wins | KJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 64.476 | 0.256 | 35.268 | 64.604 |
| Rainbow, nine or lower | 7.042 | 57.595 | 0.925 | 41.480 | 58.057 |
| Two-tone | 46.727 | 61.818 | 0.364 | 37.818 | 62.000 |
| Monotone | 5.273 | 57.745 | 3.472 | 38.783 | 59.481 |
| Paired | 17.091 | 64.569 | 1.367 | 34.064 | 65.253 |
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
How much does the opponent matter? Compared with its random-hand 62.57%, KJs changes by +0.20 points, and Q9s, from 57.66%, by -20.43.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJs, all flops | 62.767 | 62.567 | +0.200 | 1.00320 |
| KJs, rainbow, ten or higher | 64.604 | 62.567 | +2.037 | 1.03256 |
| KJs, rainbow, nine or lower | 58.057 | 62.567 | -4.510 | 0.92792 |
| KJs, two-tone | 62.000 | 62.567 | -0.567 | 0.99094 |
| KJs, monotone | 59.481 | 62.567 | -3.086 | 0.95068 |
| KJs, paired | 65.253 | 62.567 | +2.686 | 1.04293 |
| Q9s, all flops | 37.233 | 57.664 | -20.431 | 0.64569 |
| Q9s, rainbow, ten or higher | 35.396 | 57.664 | -22.268 | 0.61383 |
| Q9s, rainbow, nine or lower | 41.943 | 57.664 | -15.721 | 0.72737 |
| Q9s, two-tone | 38.000 | 57.664 | -19.664 | 0.65899 |
| Q9s, monotone | 40.519 | 57.664 | -17.145 | 0.70267 |
| Q9s, paired | 34.747 | 57.664 | -22.917 | 0.60258 |
Does a shared suit matter?
Split by suits, the deals give KJs 65.20% when the hands overlap in a suit and 61.96% when they do not. KJs does better with a shared suit, by 3.24 points.
| Deals | Specific deals | Share of deals | KJs wins | Ties | Q9s wins | KJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.802 | 0.801 | 34.397 | 65.203 |
| No shared suit | 12 | 75.00 | 61.613 | 0.684 | 37.703 | 61.955 |
How often this matchup comes up
This page stands for 16 specific-card matchups (0.0010% of 1,624,350 ordered deals), or 32 once you count the seats both ways (0.0020%).
A worked example
Put $100 each into a $200 pot and deal every board once: KJs averages $125.54 back, ahead of its $100 by $25.54, while Q9s averages $74.46, short of its $100 by $25.54.
Scaled to 1,000 deals, that is roughly 624 wins for KJs, 369 for Q9s and 7 chopped pots.
The same matchup from the other side
The mirror image, Q9s against KJs, is 37.23% to 62.77%, and its address redirects to this page.
Keep exploring
The calculator link fills in KsJs against Qh9h, 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 16 specific KJs against Q9s 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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