83.77%
Wins 82.99%, ties 1.58%
QTs
16.23%
Wins 15.43%, ties 1.58%
QQ against QTs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 82.987 | 1.575 | 15.438 | 83.774 | |
| QTs | 15.438 | 1.575 | 82.987 | 16.226 |
Here a pocket pair (QQ) meets a suited hand (QTs). The non-pair hand shares a rank with the pair, so two of its outs for pairing are blocked by the pair itself.
QQ is a big favorite here before anyone sees a flop. About 1.58% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
By strength against a random hand, QQ holds place 3 of 169 and QTs holds place 34.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 17,052,000 | 324,000 | 3,172,000 | |
| QTs | 3,172,000 | 324,000 | 17,052,000 |
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) |
|---|---|---|---|---|
| 5.163 | 1.205 | 6.478 | 0.194 | |
| QTs | 0.194 | 6.478 | 1.205 | 5.163 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
The flop changes the picture. QQ does best on low rainbow flops (nine high or lower), at 91.20%, and worst on monotone flops, at 74.83%. QQ 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 | QQ wins | Ties | QTs wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.011 | 84.143 | 1.939 | 13.918 | 85.113 |
| Rainbow, nine or lower | 7.771 | 90.620 | 1.152 | 8.228 | 91.196 |
| Two-tone | 46.236 | 81.288 | 1.604 | 17.108 | 82.090 |
| Monotone | 5.151 | 73.542 | 2.573 | 23.885 | 74.829 |
| Paired | 17.831 | 85.301 | 0.924 | 13.775 | 85.763 |
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
Start from the random-hand figures, 79.93% for QQ and 59.47% for QTs. This opponent changes them by +3.84 and -43.24 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 83.774 | 79.925 | +3.849 | 1.04816 |
| QQ, rainbow, ten or higher | 85.113 | 79.925 | +5.188 | 1.06491 |
| QQ, rainbow, nine or lower | 91.196 | 79.925 | +11.271 | 1.14102 |
| QQ, two-tone | 82.090 | 79.925 | +2.165 | 1.02709 |
| QQ, monotone | 74.829 | 79.925 | -5.096 | 0.93624 |
| QQ, paired | 85.763 | 79.925 | +5.838 | 1.07304 |
| QTs, all flops | 16.226 | 59.468 | -43.242 | 0.27285 |
| QTs, rainbow, ten or higher | 14.887 | 59.468 | -44.581 | 0.25034 |
| QTs, rainbow, nine or lower | 8.804 | 59.468 | -50.664 | 0.14805 |
| QTs, two-tone | 17.910 | 59.468 | -41.558 | 0.30117 |
| QTs, monotone | 25.171 | 59.468 | -34.297 | 0.42327 |
| QTs, paired | 14.237 | 59.468 | -45.231 | 0.23941 |
Does a shared suit matter?
Suits do not split this matchup, because no legal deal has the hands holding the same suit.
| Deals | Specific deals | Share of deals | QQ wins | Ties | QTs wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 82.987 | 1.575 | 15.438 | 83.774 |
How often this matchup comes up
You will meet this exact matchup 0.0015% of the time in a random heads-up deal: 24 of 1,624,350, counting either seat order.
A worked example
With $100 from each side, the $200 pot is split on average as $167.54 for QQ and $32.46 for QTs; the first side gains $67.54 per all-in and the second gives up $67.54.
Scaled to 1,000 deals, that is roughly 830 wins for QQ, 154 for QTs and 16 chopped pots.
The same matchup from the other side
The mirror image, QTs against QQ, is 16.23% to 83.77%, and its address redirects to this page.
Keep exploring
QsQh against QdTd 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
We counted every case. Each suit pattern of the 12 specific QQ against QTs deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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