KQs
70.57%
Wins 69.37%, ties 2.40%
QTs
29.43%
Wins 28.23%, ties 2.40%
KQs against QTs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQs | 69.365 | 2.401 | 28.234 | 70.565 |
| QTs | 28.234 | 2.401 | 69.365 | 29.435 |
Each side holds one of the suited hands: KQs and QTs. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
KQs is well ahead, and QTs needs a specific kind of board to catch up. Ties are 2.40% of the outcomes here; each tied board gives both hands half the pot.
For context, KQs sits at number 16 of 169 starting hands and QTs at number 34 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQs | 14,253,000 | 493,000 | 5,801,000 |
| QTs | 5,801,000 | 493,000 | 14,253,000 |
The total is exact: 12 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) |
|---|---|---|---|---|
| KQs | 2.397 | 1.442 | 3.542 | 0.417 |
| QTs | 0.417 | 3.542 | 1.442 | 2.397 |
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
If you know the kind of flop that came, the numbers shift: KQs holds 80.94% on low rainbow flops (nine high or lower) and 63.64% on monotone flops. KQs 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 | KQs wins | Ties | QTs wins | KQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 67.932 | 2.261 | 29.807 | 69.062 |
| Rainbow, nine or lower | 7.771 | 80.456 | 0.971 | 18.573 | 80.942 |
| Two-tone | 46.543 | 68.365 | 1.769 | 29.866 | 69.249 |
| Monotone | 5.215 | 61.468 | 4.341 | 34.191 | 63.639 |
| Paired | 17.333 | 71.365 | 4.345 | 24.290 | 73.537 |
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
The table below sets each hand against its own random-hand baseline: a change of +7.17 points for KQs, from 63.40%, and -30.04 for QTs, from 59.47%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQs, all flops | 70.565 | 63.400 | +7.165 | 1.11301 |
| KQs, rainbow, ten or higher | 69.062 | 63.400 | +5.662 | 1.08931 |
| KQs, rainbow, nine or lower | 80.942 | 63.400 | +17.542 | 1.27669 |
| KQs, two-tone | 69.249 | 63.400 | +5.849 | 1.09226 |
| KQs, monotone | 63.639 | 63.400 | +0.239 | 1.00377 |
| KQs, paired | 73.537 | 63.400 | +10.137 | 1.15989 |
| QTs, all flops | 29.435 | 59.468 | -30.033 | 0.49497 |
| QTs, rainbow, ten or higher | 30.938 | 59.468 | -28.530 | 0.52025 |
| QTs, rainbow, nine or lower | 19.058 | 59.468 | -40.410 | 0.32047 |
| QTs, two-tone | 30.751 | 59.468 | -28.717 | 0.51710 |
| QTs, monotone | 36.361 | 59.468 | -23.107 | 0.61144 |
| QTs, paired | 26.463 | 59.468 | -33.005 | 0.44500 |
Does a shared suit matter?
There is no shared-suit case for this pair, since the cards they would need are already in the other hand. Every deal is a no-shared-suit deal.
| Deals | Specific deals | Share of deals | KQs wins | Ties | QTs wins | KQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 69.365 | 2.401 | 28.234 | 70.565 |
How often this matchup comes up
Counting specific cards, KQs against QTs appears in 12 of the 1,624,350 ordered heads-up deals (0.0007%), and in 24 when the seats are swapped too (0.0015%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average KQs takes back $141.14 of it, which is $41.14 more than it put in, and QTs takes back $58.86, $41.14 less than it put in.
Run 1,000 deals and the tally comes out near 694 for KQs, 282 for QTs and 24 ties.
The same matchup from the other side
Read it from the other side: QTs against KQs is the same matchup with the numbers swapped, so QTs holds 29.43% and KQs holds 70.57%. That address sends you back to this page.
Keep exploring
Try KsQs against QhTh 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
This is an exact count with no sampling. For the 12 ways to deal one KQs and one QTs without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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