KTs
63.08%
Wins 62.73%, ties 0.71%
Q9s
36.92%
Wins 36.56%, ties 0.71%
KTs against Q9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTs | 62.728 | 0.706 | 36.566 | 63.081 |
| Q9s | 36.566 | 0.706 | 62.728 | 36.919 |
KTs and Q9s are both suited hands. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 26.16 point lead is real, and Q9s still takes about 366 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.
Among the 169 starting hands, KTs is number 22 and Q9s is number 43 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTs | 17,186,000 | 193,000 | 10,018,000 |
| Q9s | 10,018,000 | 193,000 | 17,186,000 |
The total is exact: 16 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| KTs | 1.709 | 1.594 | 2.735 | 0.585 |
| Q9s | 0.585 | 2.735 | 1.594 | 1.709 |
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. KTs does best on paired flops, at 65.39%, and worst on low rainbow flops (nine high or lower), at 59.29%. KTs stays ahead on all five textures.
| Flop | Share of flops | KTs wins | Ties | Q9s wins | KTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 64.608 | 0.286 | 35.106 | 64.751 |
| Rainbow, nine or lower | 7.042 | 58.905 | 0.771 | 40.324 | 59.291 |
| Two-tone | 46.727 | 62.159 | 0.355 | 37.486 | 62.337 |
| Monotone | 5.273 | 57.980 | 3.467 | 38.553 | 59.713 |
| Paired | 17.091 | 64.699 | 1.371 | 33.930 | 65.385 |
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
Against one random hand instead, KTs holds 61.79% and Q9s holds 57.66%. Facing each other changes that by +1.29 points for KTs and -20.74 points for Q9s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTs, all flops | 63.081 | 61.789 | +1.292 | 1.02091 |
| KTs, rainbow, ten or higher | 64.751 | 61.789 | +2.962 | 1.04794 |
| KTs, rainbow, nine or lower | 59.291 | 61.789 | -2.498 | 0.95957 |
| KTs, two-tone | 62.337 | 61.789 | +0.548 | 1.00887 |
| KTs, monotone | 59.713 | 61.789 | -2.076 | 0.96640 |
| KTs, paired | 65.385 | 61.789 | +3.596 | 1.05820 |
| Q9s, all flops | 36.919 | 57.664 | -20.745 | 0.64024 |
| Q9s, rainbow, ten or higher | 35.249 | 57.664 | -22.415 | 0.61128 |
| Q9s, rainbow, nine or lower | 40.709 | 57.664 | -16.955 | 0.70597 |
| Q9s, two-tone | 37.663 | 57.664 | -20.001 | 0.65315 |
| Q9s, monotone | 40.287 | 57.664 | -17.377 | 0.69865 |
| Q9s, paired | 34.615 | 57.664 | -23.049 | 0.60029 |
Does a shared suit matter?
When the hands share a suit, KTs holds 65.55%; when they do not, it holds 62.26%. KTs does better with a shared suit, by 3.29 points.
| Deals | Specific deals | Share of deals | KTs wins | Ties | Q9s wins | KTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.152 | 0.792 | 34.056 | 65.548 |
| No shared suit | 12 | 75.00 | 61.920 | 0.677 | 37.403 | 62.259 |
How often this matchup comes up
KTs against Q9s is made up of 16 specific-card matchups in one seat order, 0.0010% of the 1,624,350 ordered deals, and 32 counting both seat orders, 0.0020%.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says KTs gets $126.16 of it on average and Q9s gets $73.84.
In 1,000 deals of exactly this matchup, expect about 627 won outright by KTs, about 366 won outright by Q9s and about 7 split.
The same matchup from the other side
Q9s versus KTs is this same page seen from the other hand: 36.92% for Q9s, 63.08% for KTs.
Keep exploring
KsTs against Qh9h 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
Nothing here is simulated. The 16 deals of KTs against Q9s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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