KQs
74.81%
Wins 72.10%, ties 5.43%
K9o
25.19%
Wins 22.47%, ties 5.43%
KQs against K9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQs | 72.096 | 5.432 | 22.472 | 74.812 |
| K9o | 22.472 | 5.432 | 72.096 | 25.188 |
KQs and K9o are a suited hand and an offsuit hand, in that order. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
That is a clear edge, 74.81% to 25.19%, but K9o still wins often enough that one hand proves nothing. Ties are part of the picture: 5.43% of boards end in a split pot, and each side counts that as half a win.
KQs ranks number 16 of 169 starting hands, and K9o ranks number 40, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQs | 44,442,000 | 3,348,000 | 13,852,000 |
| K9o | 13,852,000 | 3,348,000 | 44,442,000 |
36 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) |
|---|---|---|---|---|
| KQs | 2.970 | 1.387 | 4.450 | 0.337 |
| K9o | 0.337 | 4.450 | 1.387 | 2.970 |
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
Across the five flop textures KQs' equity moves by 16.60 points, from 62.69% on low rainbow flops (nine high or lower) to 79.29% on rainbow flops topped by a ten or better. KQs 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 | KQs wins | Ties | K9o wins | KQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 77.431 | 3.715 | 18.854 | 79.289 |
| Rainbow, nine or lower | 7.042 | 61.246 | 2.877 | 35.877 | 62.685 |
| Two-tone | 46.527 | 73.863 | 3.361 | 22.776 | 75.544 |
| Monotone | 5.192 | 65.175 | 4.641 | 30.184 | 67.495 |
| Paired | 17.334 | 66.478 | 14.633 | 18.889 | 73.794 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
How much does the opponent matter? Compared with its random-hand 63.40%, KQs changes by +11.41 points, and K9o, from 57.81%, by -32.62.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQs, all flops | 74.812 | 63.400 | +11.412 | 1.18000 |
| KQs, rainbow, ten or higher | 79.289 | 63.400 | +15.889 | 1.25062 |
| KQs, rainbow, nine or lower | 62.685 | 63.400 | -0.715 | 0.98872 |
| KQs, two-tone | 75.544 | 63.400 | +12.144 | 1.19155 |
| KQs, monotone | 67.495 | 63.400 | +4.095 | 1.06459 |
| KQs, paired | 73.794 | 63.400 | +10.394 | 1.16394 |
| K9o, all flops | 25.188 | 57.812 | -32.624 | 0.43569 |
| K9o, rainbow, ten or higher | 20.711 | 57.812 | -37.101 | 0.35825 |
| K9o, rainbow, nine or lower | 37.315 | 57.812 | -20.497 | 0.64545 |
| K9o, two-tone | 24.456 | 57.812 | -33.356 | 0.42303 |
| K9o, monotone | 32.505 | 57.812 | -25.307 | 0.56225 |
| K9o, paired | 26.206 | 57.812 | -31.606 | 0.45330 |
Does a shared suit matter?
When the hands share a suit, KQs holds 74.58%; when they do not, it holds 74.93%. KQs does better with no shared suit, by 0.35 points.
| Deals | Specific deals | Share of deals | KQs wins | Ties | K9o wins | KQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 71.825 | 5.513 | 22.662 | 74.582 |
| No shared suit | 24 | 66.67 | 72.232 | 5.391 | 22.377 | 74.928 |
How often this matchup comes up
You will meet this exact matchup 0.0044% of the time in a random heads-up deal: 72 of 1,624,350, counting either seat order.
A worked example
Put $100 each into a $200 pot and deal every board once: KQs averages $149.62 back, ahead of its $100 by $49.62, while K9o averages $50.38, short of its $100 by $49.62.
Out of 1,000 deals you should see around 721 outright wins for KQs, 225 for K9o, and 54 split pots.
The same matchup from the other side
One page covers both views. From K9o's side the equity is 25.19%, and from KQs' side it is 74.81%.
Keep exploring
KsQs against Kh9d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
Each figure is a complete count over boards. Take the 36 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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