KTs
70.62%
Wins 69.24%, ties 2.75%
QTs
29.38%
Wins 28.01%, ties 2.75%
KTs against QTs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTs | 69.243 | 2.753 | 28.004 | 70.620 |
| QTs | 28.004 | 2.753 | 69.243 | 29.380 |
Two suited hands meet here: KTs against QTs. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
A lead of 41.24 points is large but not decisive: QTs still takes about 280 of every 1,000 deals. The tie share is 2.75%: on those boards the pot is chopped and neither hand wins outright.
Among the 169 starting hands, KTs is number 22 and QTs is number 34 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTs | 14,228,000 | 566,000 | 5,754,000 |
| QTs | 5,754,000 | 566,000 | 14,228,000 |
Exact total: 12 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) |
|---|---|---|---|---|
| KTs | 2.404 | 1.444 | 3.571 | 0.416 |
| QTs | 0.416 | 3.571 | 1.444 | 2.404 |
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
If you know the kind of flop that came, the numbers shift: KTs holds 81.73% on low rainbow flops (nine high or lower) and 63.65% on monotone flops. KTs 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 | KTs wins | Ties | QTs wins | KTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 67.798 | 2.370 | 29.832 | 68.983 |
| Rainbow, nine or lower | 7.771 | 80.456 | 2.542 | 17.002 | 81.727 |
| Two-tone | 46.543 | 68.261 | 2.166 | 29.573 | 69.344 |
| Monotone | 5.215 | 61.359 | 4.589 | 34.052 | 63.653 |
| Paired | 17.333 | 71.154 | 4.385 | 24.461 | 73.346 |
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
Start from the random-hand figures, 61.79% for KTs and 59.47% for QTs. This opponent changes them by +8.83 and -30.09 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTs, all flops | 70.620 | 61.789 | +8.831 | 1.14292 |
| KTs, rainbow, ten or higher | 68.983 | 61.789 | +7.194 | 1.11643 |
| KTs, rainbow, nine or lower | 81.727 | 61.789 | +19.938 | 1.32268 |
| KTs, two-tone | 69.344 | 61.789 | +7.555 | 1.12227 |
| KTs, monotone | 63.653 | 61.789 | +1.864 | 1.03017 |
| KTs, paired | 73.346 | 61.789 | +11.557 | 1.18704 |
| QTs, all flops | 29.380 | 59.468 | -30.088 | 0.49405 |
| QTs, rainbow, ten or higher | 31.017 | 59.468 | -28.451 | 0.52157 |
| QTs, rainbow, nine or lower | 18.273 | 59.468 | -41.195 | 0.30727 |
| QTs, two-tone | 30.656 | 59.468 | -28.812 | 0.51550 |
| QTs, monotone | 36.347 | 59.468 | -23.121 | 0.61120 |
| QTs, paired | 26.654 | 59.468 | -32.814 | 0.44821 |
Does a shared suit matter?
The hands cannot hold a suit in common here, which leaves a single case and a single number: 70.62% for KTs.
| Deals | Specific deals | Share of deals | KTs wins | Ties | QTs wins | KTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 69.243 | 2.753 | 28.004 | 70.620 |
How often this matchup comes up
Exactly 12 specific deals fit this matchup in one seat order, which is 0.0007% of 1,624,350; both orders together give 24, or 0.0015%.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says KTs gets $141.24 of it on average and QTs gets $58.76.
Run 1,000 deals and the tally comes out near 692 for KTs, 280 for QTs and 28 ties.
The same matchup from the other side
The mirror image, QTs against KTs, is 29.38% to 70.62%, and its address redirects to this page.
Keep exploring
Open the calculator with KsTs against QhTh already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
Nothing here is simulated. The 12 deals of KTs against QTs 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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