KQs
65.96%
Wins 65.62%, ties 0.67%
T9o
34.04%
Wins 33.71%, ties 0.67%
KQs against T9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQs | 65.623 | 0.671 | 33.706 | 65.959 |
| T9o | 33.706 | 0.671 | 65.623 | 34.041 |
KQs, a suited hand, plays T9o, an offsuit hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
That is a clear edge, 65.96% to 34.04%, but T9o still wins often enough that one hand proves nothing. A split pot comes up on 0.67% of boards, so the wins and the equity differ by half of that.
In the ranking of all 169 starting hands, KQs is number 16 and T9o is number 78.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQs | 53,936,000 | 551,000 | 27,703,000 |
| T9o | 27,703,000 | 551,000 | 53,936,000 |
The board total is exact, 48 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) |
|---|---|---|---|---|
| KQs | 1.938 | 1.524 | 2.967 | 0.516 |
| T9o | 0.516 | 2.967 | 1.524 | 1.938 |
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
By flop texture, KQs' equity runs from 55.37% on low rainbow flops (nine high or lower) up to 68.02% on rainbow flops topped by a ten or better. KQs stays ahead on all five textures.
| Flop | Share of flops | KQs wins | Ties | T9o wins | KQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 67.874 | 0.294 | 31.832 | 68.021 |
| Rainbow, nine or lower | 7.042 | 54.967 | 0.797 | 44.236 | 55.365 |
| Two-tone | 46.667 | 66.038 | 0.377 | 33.585 | 66.227 |
| Monotone | 5.212 | 60.516 | 2.451 | 37.033 | 61.741 |
| Paired | 17.091 | 67.281 | 1.410 | 31.309 | 67.986 |
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
Relative to a random opponent, KQs changes by +2.56 points (baseline 63.40%) and T9o by -17.49 points (baseline 51.53%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQs, all flops | 65.959 | 63.400 | +2.559 | 1.04036 |
| KQs, rainbow, ten or higher | 68.021 | 63.400 | +4.621 | 1.07289 |
| KQs, rainbow, nine or lower | 55.365 | 63.400 | -8.035 | 0.87326 |
| KQs, two-tone | 66.227 | 63.400 | +2.827 | 1.04459 |
| KQs, monotone | 61.741 | 63.400 | -1.659 | 0.97383 |
| KQs, paired | 67.986 | 63.400 | +4.586 | 1.07233 |
| T9o, all flops | 34.041 | 51.532 | -17.491 | 0.66058 |
| T9o, rainbow, ten or higher | 31.979 | 51.532 | -19.553 | 0.62057 |
| T9o, rainbow, nine or lower | 44.635 | 51.532 | -6.897 | 0.86616 |
| T9o, two-tone | 33.773 | 51.532 | -17.759 | 0.65538 |
| T9o, monotone | 38.259 | 51.532 | -13.273 | 0.74243 |
| T9o, paired | 32.014 | 51.532 | -19.518 | 0.62125 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and KQs holds 65.78%. In 24 they do not, and it holds 66.14%. KQs does better with no shared suit, by 0.36 points.
| Deals | Specific deals | Share of deals | KQs wins | Ties | T9o wins | KQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 65.423 | 0.712 | 33.865 | 65.779 |
| No shared suit | 24 | 50.00 | 65.823 | 0.631 | 33.546 | 66.139 |
How often this matchup comes up
Counting specific cards, KQs against T9o appears in 48 of the 1,624,350 ordered heads-up deals (0.0030%), and in 96 when the seats are swapped too (0.0059%).
A worked example
Put $100 each into a $200 pot and deal every board once: KQs averages $131.92 back, ahead of its $100 by $31.92, while T9o averages $68.08, short of its $100 by $31.92.
Out of 1,000 deals you should see around 656 outright wins for KQs, 337 for T9o, and 7 split pots.
The same matchup from the other side
The mirror image, T9o against KQs, is 34.04% to 65.96%, and its address redirects to this page.
Keep exploring
KsQs against Th9d 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 48 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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