K9s
59.88%
Wins 59.54%, ties 0.67%
QTo
40.12%
Wins 39.79%, ties 0.67%
K9s against QTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9s | 59.543 | 0.672 | 39.785 | 59.879 |
| QTo | 39.785 | 0.672 | 59.543 | 40.121 |
K9s, a suited hand, plays QTo, an offsuit hand. 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. Of every 100 boards, about 0.67 are split pots, and the equity figures already include them.
Among the 169 starting hands, K9s is number 29 and QTo is number 47 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9s | 48,939,000 | 552,000 | 32,700,000 |
| QTo | 32,700,000 | 552,000 | 48,939,000 |
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 | 1.492 | 1.679 | 2.514 | 0.670 |
| QTo | 0.670 | 2.514 | 1.679 | 1.492 |
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
K9s prefers low rainbow flops (nine high or lower), where it holds 74.74%, and likes rainbow flops topped by a ten or better least, where it holds 53.23%. 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 | QTo wins | K9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 53.080 | 0.295 | 46.625 | 53.227 |
| Rainbow, nine or lower | 7.042 | 74.336 | 0.798 | 24.866 | 74.735 |
| Two-tone | 46.667 | 59.322 | 0.378 | 40.300 | 59.511 |
| Monotone | 5.212 | 55.066 | 2.452 | 42.482 | 56.292 |
| Paired | 17.091 | 64.488 | 1.410 | 34.102 | 65.193 |
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
A random hand would give K9s 59.99% and QTo 57.29%. Against each other the change is -0.11 points for K9s and -17.17 for QTo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9s, all flops | 59.879 | 59.988 | -0.109 | 0.99818 |
| K9s, rainbow, ten or higher | 53.227 | 59.988 | -6.761 | 0.88729 |
| K9s, rainbow, nine or lower | 74.735 | 59.988 | +14.747 | 1.24583 |
| K9s, two-tone | 59.511 | 59.988 | -0.477 | 0.99205 |
| K9s, monotone | 56.292 | 59.988 | -3.696 | 0.93839 |
| K9s, paired | 65.193 | 59.988 | +5.205 | 1.08677 |
| QTo, all flops | 40.121 | 57.291 | -17.170 | 0.70030 |
| QTo, rainbow, ten or higher | 46.773 | 57.291 | -10.518 | 0.81641 |
| QTo, rainbow, nine or lower | 25.265 | 57.291 | -32.026 | 0.44099 |
| QTo, two-tone | 40.489 | 57.291 | -16.802 | 0.70673 |
| QTo, monotone | 43.708 | 57.291 | -13.583 | 0.76291 |
| QTo, paired | 34.807 | 57.291 | -22.484 | 0.60755 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, K9s has 59.57%; looking only at deals where they do not, 60.19%. K9s does better with no shared suit, by 0.62 points.
| Deals | Specific deals | Share of deals | K9s wins | Ties | QTo wins | K9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.212 | 0.713 | 40.075 | 59.569 |
| No shared suit | 24 | 50.00 | 59.874 | 0.632 | 39.494 | 60.190 |
How often this matchup comes up
You will meet this exact matchup 0.0059% of the time in a random heads-up deal: 96 of 1,624,350, counting either seat order.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average K9s takes back $119.76 of it, which is $19.76 more than it put in, and QTo takes back $80.24, $19.76 less than it put in.
In 1,000 deals of exactly this matchup, expect about 595 won outright by K9s, about 398 won outright by QTo and about 7 split.
The same matchup from the other side
Read it from the other side: QTo against K9s is the same matchup with the numbers swapped, so QTo holds 40.12% and K9s holds 59.88%. That address sends you back to this page.
Keep exploring
Ks9s against QhTd 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 48 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session