QTs
52.25%
Wins 51.76%, ties 0.97%
33
47.75%
Wins 47.27%, ties 0.97%
QTs against 33: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QTs | 51.761 | 0.968 | 47.271 | 52.245 |
| 33 | 47.271 | 0.968 | 51.761 | 47.755 |
The first hand is a suited hand; the second is a pocket pair. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
QTs leads by less than 5 points of equity, so the result of any one deal is close to a toss-up. Of every 100 boards, about 0.97 are split pots, and the equity figures already include them.
The hand ranking puts QTs at 34 and 33 at 66 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QTs | 21,271,000 | 398,000 | 19,426,000 |
| 33 | 19,426,000 | 398,000 | 21,271,000 |
Exact total: 24 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) |
|---|---|---|---|---|
| QTs | 1.094 | 1.932 | 2.115 | 0.914 |
| 33 | 0.914 | 2.115 | 1.932 | 1.094 |
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
Rainbow flops topped by a ten or better are the best for QTs (57.84%); low rainbow flops (nine high or lower) are the worst (27.28%). Watch for low rainbow flops (nine high or lower): on those flops 33 holds the better equity.
| Flop | Share of flops | QTs wins | Ties | 33 wins | QTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 57.595 | 0.481 | 41.924 | 57.835 |
| Rainbow, nine or lower | 6.314 | 26.858 | 0.851 | 72.291 | 27.283 |
| Two-tone | 46.545 | 53.221 | 0.526 | 46.253 | 53.484 |
| Monotone | 5.212 | 50.002 | 3.337 | 46.661 | 51.671 |
| Paired | 17.334 | 49.161 | 2.178 | 48.661 | 50.250 |
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
How much does the opponent matter? Compared with its random-hand 59.47%, QTs changes by -7.22 points, and 33, from 53.69%, by -5.94.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QTs, all flops | 52.245 | 59.468 | -7.223 | 0.87854 |
| QTs, rainbow, ten or higher | 57.835 | 59.468 | -1.633 | 0.97254 |
| QTs, rainbow, nine or lower | 27.283 | 59.468 | -32.185 | 0.45878 |
| QTs, two-tone | 53.484 | 59.468 | -5.984 | 0.89937 |
| QTs, monotone | 51.671 | 59.468 | -7.797 | 0.86889 |
| QTs, paired | 50.250 | 59.468 | -9.218 | 0.84499 |
| 33, all flops | 47.755 | 53.693 | -5.938 | 0.88941 |
| 33, rainbow, ten or higher | 42.165 | 53.693 | -11.528 | 0.78530 |
| 33, rainbow, nine or lower | 72.717 | 53.693 | +19.024 | 1.35431 |
| 33, two-tone | 46.516 | 53.693 | -7.177 | 0.86633 |
| 33, monotone | 48.329 | 53.693 | -5.364 | 0.90010 |
| 33, paired | 49.750 | 53.693 | -3.943 | 0.92656 |
Does a shared suit matter?
Two kinds of deal exist here. In 12 of them the hands share a suit and QTs holds 52.09%. In 12 they do not, and it holds 52.40%. QTs does better with no shared suit, by 0.31 points.
| Deals | Specific deals | Share of deals | QTs wins | Ties | 33 wins | QTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 51.592 | 0.999 | 47.409 | 52.091 |
| No shared suit | 12 | 50.00 | 51.930 | 0.937 | 47.133 | 52.399 |
How often this matchup comes up
How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are QTs against 33, and 48 (0.0030%) if either hand may sit in either seat.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average QTs takes back $104.50 of it, which is $4.50 more than it put in, and 33 takes back $95.50, $4.50 less than it put in.
Scaled to 1,000 deals, that is roughly 517 wins for QTs, 473 for 33 and 10 chopped pots.
The same matchup from the other side
The reversed view, 33 against QTs, shows 47.75% for 33 and 52.25% for QTs. It is the same count, so it redirects here.
Keep exploring
Try QsTs against 3h3d 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
We counted every case. Each suit pattern of the 24 specific QTs against 33 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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