QTs
63.17%
Wins 62.72%, ties 0.89%
87s
36.83%
Wins 36.39%, ties 0.89%
QTs against 87s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QTs | 62.723 | 0.892 | 36.385 | 63.169 |
| 87s | 36.385 | 0.892 | 62.723 | 36.831 |
The matchup is suited hands on both sides, QTs against 87s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 26.34 point lead is real, and 87s still takes about 364 of every 1,000 deals outright. Ties are 0.89% of the outcomes here; each tied board gives both hands half the pot.
Place 34 of 169 belongs to QTs and place 100 belongs to 87s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QTs | 17,184,000 | 244,000 | 9,968,000 |
| 87s | 9,968,000 | 244,000 | 17,184,000 |
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 | 1.715 | 1.594 | 2.748 | 0.583 |
| 87s | 0.583 | 2.748 | 1.594 | 1.715 |
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
Rainbow flops topped by a ten or better are the best for QTs (69.82%); low rainbow flops (nine high or lower) are the worst (39.61%). QTs is the favorite overall but falls behind on low rainbow flops (nine high or lower).
| Flop | Share of flops | QTs wins | Ties | 87s wins | QTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 69.581 | 0.474 | 29.945 | 69.818 |
| Rainbow, nine or lower | 6.314 | 39.426 | 0.369 | 60.205 | 39.611 |
| Two-tone | 46.727 | 62.416 | 0.418 | 37.166 | 62.625 |
| Monotone | 5.273 | 58.553 | 3.519 | 37.928 | 60.313 |
| Paired | 17.091 | 63.589 | 2.174 | 34.237 | 64.676 |
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
Against one random hand instead, QTs holds 59.47% and 87s holds 47.94%. Facing each other changes that by +3.70 points for QTs and -11.11 points for 87s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QTs, all flops | 63.169 | 59.468 | +3.701 | 1.06224 |
| QTs, rainbow, ten or higher | 69.818 | 59.468 | +10.350 | 1.17404 |
| QTs, rainbow, nine or lower | 39.611 | 59.468 | -19.857 | 0.66609 |
| QTs, two-tone | 62.625 | 59.468 | +3.157 | 1.05309 |
| QTs, monotone | 60.313 | 59.468 | +0.845 | 1.01421 |
| QTs, paired | 64.676 | 59.468 | +5.208 | 1.08758 |
| 87s, all flops | 36.831 | 47.936 | -11.105 | 0.76834 |
| 87s, rainbow, ten or higher | 30.182 | 47.936 | -17.754 | 0.62963 |
| 87s, rainbow, nine or lower | 60.389 | 47.936 | +12.453 | 1.25978 |
| 87s, two-tone | 37.375 | 47.936 | -10.561 | 0.77969 |
| 87s, monotone | 39.687 | 47.936 | -8.249 | 0.82792 |
| 87s, paired | 35.324 | 47.936 | -12.612 | 0.73690 |
Does a shared suit matter?
Does suit overlap move the numbers? QTs has 65.54% when the hands share a suit and 62.38% when they do not. QTs does better with a shared suit, by 3.16 points.
| Deals | Specific deals | Share of deals | QTs wins | Ties | 87s wins | QTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.049 | 0.989 | 33.962 | 65.544 |
| No shared suit | 12 | 75.00 | 61.948 | 0.860 | 37.192 | 62.378 |
How often this matchup comes up
This page stands for 16 specific-card matchups (0.0010% of 1,624,350 ordered deals), or 32 once you count the seats both ways (0.0020%).
A worked example
With $100 from each side, the $200 pot is split on average as $126.34 for QTs and $73.66 for 87s; the first side gains $26.34 per all-in and the second gives up $26.34.
A thousand deals look like this: QTs takes 627, 87s takes 364, 9 are ties.
The same matchup from the other side
87s against QTs adds nothing new: it is 36.83% for 87s and 63.17% for QTs, the same figures reversed.
Keep exploring
Open the calculator with QsTs against 8h7h 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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