KQo
69.56%
Wins 68.34%, ties 2.44%
QTs
30.44%
Wins 29.22%, ties 2.44%
KQo against QTs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQo | 68.342 | 2.440 | 29.218 | 69.562 |
| QTs | 29.218 | 2.440 | 68.342 | 30.438 |
Here an offsuit hand (KQo) meets a suited hand (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.
That is a clear edge, 69.56% to 30.44%, but QTs still wins often enough that one hand proves nothing. 2.44% of boards are ties, so the equity of each hand is its win rate plus half of that.
Place 23 of 169 belongs to KQo and place 34 belongs to QTs in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQo | 42,128,000 | 1,504,000 | 18,011,000 |
| QTs | 18,011,000 | 1,504,000 | 42,128,000 |
The total is exact: 36 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) |
|---|---|---|---|---|
| KQo | 2.285 | 1.463 | 3.423 | 0.438 |
| QTs | 0.438 | 3.423 | 1.463 | 2.285 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
The flop changes the picture. KQo does best on low rainbow flops (nine high or lower), at 80.31%, and worst on monotone flops, at 65.01%. KQo 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 | KQo wins | Ties | QTs wins | KQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 67.056 | 2.303 | 30.641 | 68.208 |
| Rainbow, nine or lower | 7.771 | 79.797 | 1.022 | 19.181 | 80.308 |
| Two-tone | 46.527 | 66.841 | 1.883 | 31.276 | 67.782 |
| Monotone | 5.192 | 63.283 | 3.463 | 33.254 | 65.014 |
| Paired | 17.333 | 70.472 | 4.445 | 25.083 | 72.694 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of +8.10 points for KQo, from 61.46%, and -29.03 for QTs, from 59.47%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQo, all flops | 69.562 | 61.456 | +8.106 | 1.13190 |
| KQo, rainbow, ten or higher | 68.208 | 61.456 | +6.752 | 1.10987 |
| KQo, rainbow, nine or lower | 80.308 | 61.456 | +18.852 | 1.30676 |
| KQo, two-tone | 67.782 | 61.456 | +6.326 | 1.10294 |
| KQo, monotone | 65.014 | 61.456 | +3.558 | 1.05790 |
| KQo, paired | 72.694 | 61.456 | +11.238 | 1.18286 |
| QTs, all flops | 30.438 | 59.468 | -29.030 | 0.51184 |
| QTs, rainbow, ten or higher | 31.792 | 59.468 | -27.676 | 0.53461 |
| QTs, rainbow, nine or lower | 19.692 | 59.468 | -39.776 | 0.33114 |
| QTs, two-tone | 32.218 | 59.468 | -27.250 | 0.54177 |
| QTs, monotone | 34.986 | 59.468 | -24.482 | 0.58832 |
| QTs, paired | 27.306 | 59.468 | -32.162 | 0.45917 |
Does a shared suit matter?
Does suit overlap move the numbers? KQo has 70.57% when the hands share a suit and 69.06% when they do not. KQo does better with a shared suit, by 1.51 points.
| Deals | Specific deals | Share of deals | KQo wins | Ties | QTs wins | KQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 69.308 | 2.520 | 28.172 | 70.568 |
| No shared suit | 24 | 66.67 | 67.859 | 2.399 | 29.742 | 69.059 |
How often this matchup comes up
KQo against QTs is made up of 36 specific-card matchups in one seat order, 0.0022% of the 1,624,350 ordered deals, and 72 counting both seat orders, 0.0044%.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says KQo gets $139.12 of it on average and QTs gets $60.88.
Scaled to 1,000 deals, that is roughly 684 wins for KQo, 292 for QTs and 24 chopped pots.
The same matchup from the other side
Swap the hands and you get QTs with 30.44% against KQo with 69.56%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Open the calculator with KsQh against QdTd 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
Method: exact enumeration. The 36 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
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