KQs
63.11%
Wins 62.75%, ties 0.71%
T9s
36.89%
Wins 36.54%, ties 0.71%
KQs against T9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQs | 62.754 | 0.705 | 36.541 | 63.106 |
| T9s | 36.541 | 0.705 | 62.754 | 36.894 |
KQs meets T9s, and both are suited hands. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 26.22 point lead is real, and T9s still takes about 365 of every 1,000 deals outright. A split pot comes up on 0.71% of boards, so the wins and the equity differ by half of that.
By strength against a random hand, KQs holds place 16 of 169 and T9s holds place 64.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQs | 17,193,000 | 193,000 | 10,011,000 |
| T9s | 10,011,000 | 193,000 | 17,193,000 |
16 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 | 1.710 | 1.594 | 2.737 | 0.585 |
| T9s | 0.585 | 2.737 | 1.594 | 1.710 |
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
The flop changes the picture. KQs does best on rainbow flops topped by a ten or better, at 66.36%, and worst on low rainbow flops (nine high or lower), at 53.62%. KQs stays ahead on all five textures.
| Flop | Share of flops | KQs wins | Ties | T9s wins | KQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 66.220 | 0.285 | 33.495 | 66.363 |
| Rainbow, nine or lower | 7.042 | 53.234 | 0.770 | 45.996 | 53.619 |
| Two-tone | 46.727 | 62.295 | 0.354 | 37.351 | 62.472 |
| Monotone | 5.273 | 58.480 | 3.469 | 38.051 | 60.215 |
| Paired | 17.091 | 64.408 | 1.372 | 34.220 | 65.094 |
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
Start from the random-hand figures, 63.40% for KQs and 54.03% for T9s. This opponent changes them by -0.29 and -17.14 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQs, all flops | 63.106 | 63.400 | -0.294 | 0.99536 |
| KQs, rainbow, ten or higher | 66.363 | 63.400 | +2.963 | 1.04674 |
| KQs, rainbow, nine or lower | 53.619 | 63.400 | -9.781 | 0.84573 |
| KQs, two-tone | 62.472 | 63.400 | -0.928 | 0.98536 |
| KQs, monotone | 60.215 | 63.400 | -3.185 | 0.94976 |
| KQs, paired | 65.094 | 63.400 | +1.694 | 1.02672 |
| T9s, all flops | 36.894 | 54.028 | -17.134 | 0.68287 |
| T9s, rainbow, ten or higher | 33.637 | 54.028 | -20.391 | 0.62258 |
| T9s, rainbow, nine or lower | 46.381 | 54.028 | -7.647 | 0.85846 |
| T9s, two-tone | 37.528 | 54.028 | -16.500 | 0.69460 |
| T9s, monotone | 39.785 | 54.028 | -14.243 | 0.73638 |
| T9s, paired | 34.906 | 54.028 | -19.122 | 0.64607 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common KQs has 65.47% equity, and with none in common it has 62.32%. KQs does better with a shared suit, by 3.15 points.
| Deals | Specific deals | Share of deals | KQs wins | Ties | T9s wins | KQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.070 | 0.792 | 34.138 | 65.466 |
| No shared suit | 12 | 75.00 | 61.982 | 0.676 | 37.342 | 62.320 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 16 are KQs in one seat and T9s in the other (0.0010%); with the seats swapped too, 32 (0.0020%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says KQs gets $126.22 of it on average and T9s gets $73.78.
Scaled to 1,000 deals, that is roughly 628 wins for KQs, 365 for T9s and 7 chopped pots.
The same matchup from the other side
The reversed view, T9s against KQs, shows 36.89% for T9s and 63.11% for KQs. It is the same count, so it redirects here.
Keep exploring
Try KsQs against Th9h in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
We counted every case. Each suit pattern of the 16 specific KQs against T9s 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.
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