QTs
62.71%
Wins 62.27%, ties 0.88%
76s
37.29%
Wins 36.85%, ties 0.88%
QTs against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QTs | 62.267 | 0.880 | 36.853 | 62.707 |
| 76s | 36.853 | 0.880 | 62.267 | 37.293 |
QTs and 76s are both suited hands. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. 0.88% of boards are ties, so the equity of each hand is its win rate plus half of that.
QTs ranks number 34 of 169 starting hands, and 76s ranks number 115, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QTs | 17,059,000 | 241,000 | 10,097,000 |
| 76s | 10,097,000 | 241,000 | 17,059,000 |
16 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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) |
|---|---|---|---|---|
| QTs | 1.681 | 1.606 | 2.713 | 0.595 |
| 76s | 0.595 | 2.713 | 1.606 | 1.681 |
The final column gives the least the pot must offer for each unit called for a call to break even 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 (69.94%) and weakest on low rainbow flops (nine high or lower) (36.62%). On low rainbow flops (nine high or lower) the numbers flip and 76s is the one ahead.
| Flop | Share of flops | QTs wins | Ties | 76s wins | QTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 69.718 | 0.434 | 29.848 | 69.935 |
| Rainbow, nine or lower | 6.314 | 36.405 | 0.420 | 63.175 | 36.615 |
| Two-tone | 46.727 | 61.975 | 0.403 | 37.622 | 62.177 |
| Monotone | 5.273 | 58.245 | 3.524 | 38.231 | 60.007 |
| Paired | 17.091 | 63.136 | 2.182 | 34.682 | 64.227 |
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
Compared with a random opponent, this matchup shifts QTs from 59.47% by +3.24 points and 76s from 45.37% by -8.08 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QTs, all flops | 62.707 | 59.468 | +3.239 | 1.05447 |
| QTs, rainbow, ten or higher | 69.935 | 59.468 | +10.467 | 1.17601 |
| QTs, rainbow, nine or lower | 36.615 | 59.468 | -22.853 | 0.61571 |
| QTs, two-tone | 62.177 | 59.468 | +2.709 | 1.04555 |
| QTs, monotone | 60.007 | 59.468 | +0.539 | 1.00906 |
| QTs, paired | 64.227 | 59.468 | +4.759 | 1.08003 |
| 76s, all flops | 37.293 | 45.372 | -8.079 | 0.82194 |
| 76s, rainbow, ten or higher | 30.065 | 45.372 | -15.307 | 0.66263 |
| 76s, rainbow, nine or lower | 63.385 | 45.372 | +18.013 | 1.39701 |
| 76s, two-tone | 37.823 | 45.372 | -7.549 | 0.83362 |
| 76s, monotone | 39.993 | 45.372 | -5.379 | 0.88145 |
| 76s, paired | 35.773 | 45.372 | -9.599 | 0.78844 |
Does a shared suit matter?
Of the deals of this matchup, 4 share a suit (QTs at 65.01%) and 12 do not (61.94%). QTs does better with a shared suit, by 3.07 points.
| Deals | Specific deals | Share of deals | QTs wins | Ties | 76s wins | QTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.516 | 0.978 | 34.506 | 65.005 |
| No shared suit | 12 | 75.00 | 61.517 | 0.848 | 37.635 | 61.941 |
How often this matchup comes up
Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. QTs averages $125.42 from the $200, up $25.42; 76s averages $74.58, down $25.42.
A thousand deals look like this: QTs takes 623, 76s takes 368, 9 are ties.
The same matchup from the other side
The mirror image, 76s against QTs, is 37.29% to 62.71%, and its address redirects to this page.
Keep exploring
QsTs against 7h6h 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
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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