QTs
63.74%
Wins 63.25%, ties 0.97%
43s
36.26%
Wins 35.78%, ties 0.97%
QTs against 43s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QTs | 63.251 | 0.970 | 35.779 | 63.736 |
| 43s | 35.779 | 0.970 | 63.251 | 36.264 |
Both hands are suited hands: QTs and 43s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
QTs is ahead, but 43s is far from dead: it takes 358 of every 1,000 deals outright. The tie share is 0.97%: on those boards the pot is chopped and neither hand wins outright.
The hand ranking puts QTs at 34 and 43s at 150 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QTs | 17,329,000 | 266,000 | 9,802,000 |
| 43s | 9,802,000 | 266,000 | 17,329,000 |
Exact total: 16 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 | 1.758 | 1.581 | 2.795 | 0.569 |
| 43s | 0.569 | 2.795 | 1.581 | 1.758 |
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
Break the boards down by their first three cards and QTs is strongest on rainbow flops topped by a ten or better (70.45%) and weakest on low rainbow flops (nine high or lower) (39.69%). 43s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.
| Flop | Share of flops | QTs wins | Ties | 43s wins | QTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 70.214 | 0.474 | 29.312 | 70.451 |
| Rainbow, nine or lower | 6.314 | 39.300 | 0.786 | 59.914 | 39.693 |
| Two-tone | 46.727 | 62.884 | 0.496 | 36.620 | 63.132 |
| Monotone | 5.273 | 58.995 | 3.771 | 37.234 | 60.881 |
| Paired | 17.091 | 64.394 | 2.180 | 33.426 | 65.484 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of +4.27 points for QTs, from 59.47%, and -2.38 for 43s, from 38.64%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QTs, all flops | 63.736 | 59.468 | +4.268 | 1.07177 |
| QTs, rainbow, ten or higher | 70.451 | 59.468 | +10.983 | 1.18469 |
| QTs, rainbow, nine or lower | 39.693 | 59.468 | -19.775 | 0.66747 |
| QTs, two-tone | 63.132 | 59.468 | +3.664 | 1.06161 |
| QTs, monotone | 60.881 | 59.468 | +1.413 | 1.02376 |
| QTs, paired | 65.484 | 59.468 | +6.016 | 1.10116 |
| 43s, all flops | 36.264 | 38.642 | -2.378 | 0.93846 |
| 43s, rainbow, ten or higher | 29.549 | 38.642 | -9.093 | 0.76469 |
| 43s, rainbow, nine or lower | 60.307 | 38.642 | +21.665 | 1.56066 |
| 43s, two-tone | 36.868 | 38.642 | -1.774 | 0.95409 |
| 43s, monotone | 39.119 | 38.642 | +0.477 | 1.01234 |
| 43s, paired | 34.516 | 38.642 | -4.126 | 0.89322 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common QTs has 66.12% equity, and with none in common it has 62.94%. QTs does better with a shared suit, by 3.18 points.
| Deals | Specific deals | Share of deals | QTs wins | Ties | 43s wins | QTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.583 | 1.066 | 33.351 | 66.116 |
| No shared suit | 12 | 75.00 | 62.473 | 0.938 | 36.589 | 62.942 |
How often this matchup comes up
You will meet this exact matchup 0.0020% of the time in a random heads-up deal: 32 of 1,624,350, counting either seat order.
A worked example
With $100 from each side, the $200 pot is split on average as $127.48 for QTs and $72.52 for 43s; the first side gains $27.48 per all-in and the second gives up $27.48.
In 1,000 deals of exactly this matchup, expect about 632 won outright by QTs, about 358 won outright by 43s and about 10 split.
The same matchup from the other side
The reversed view, 43s against QTs, shows 36.26% for 43s and 63.74% for QTs. It is the same count, so it redirects here.
Keep exploring
Open the calculator with QsTs against 4h3h 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 16 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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