QTs
63.74%
Wins 63.30%, ties 0.88%
86s
36.26%
Wins 35.82%, ties 0.88%
QTs against 86s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QTs | 63.296 | 0.882 | 35.822 | 63.737 |
| 86s | 35.822 | 0.882 | 63.296 | 36.263 |
Here suited hands face each other, QTs on one side and 86s on the other. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are 0.88% of the outcomes here; each tied board gives both hands half the pot.
Place 34 of 169 belongs to QTs and place 110 belongs to 86s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QTs | 17,341,000 | 242,000 | 9,814,000 |
| 86s | 9,814,000 | 242,000 | 17,341,000 |
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 | 1.758 | 1.580 | 2.792 | 0.569 |
| 86s | 0.569 | 2.792 | 1.580 | 1.758 |
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
By flop texture, QTs' equity runs from 38.77% on low rainbow flops (nine high or lower) up to 70.81% on rainbow flops topped by a ten or better. Watch for low rainbow flops (nine high or lower): on those flops 86s holds the better equity.
| Flop | Share of flops | QTs wins | Ties | 86s wins | QTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 70.593 | 0.424 | 28.983 | 70.805 |
| Rainbow, nine or lower | 6.314 | 38.530 | 0.487 | 60.983 | 38.774 |
| Two-tone | 46.727 | 62.988 | 0.406 | 36.606 | 63.191 |
| Monotone | 5.273 | 59.026 | 3.515 | 37.459 | 60.784 |
| Paired | 17.091 | 64.101 | 2.178 | 33.721 | 65.190 |
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
A random hand would give QTs 59.47% and 86s 46.24%. Against each other the change is +4.27 points for QTs and -9.98 for 86s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QTs, all flops | 63.737 | 59.468 | +4.269 | 1.07179 |
| QTs, rainbow, ten or higher | 70.805 | 59.468 | +11.337 | 1.19064 |
| QTs, rainbow, nine or lower | 38.774 | 59.468 | -20.694 | 0.65201 |
| QTs, two-tone | 63.191 | 59.468 | +3.723 | 1.06261 |
| QTs, monotone | 60.784 | 59.468 | +1.316 | 1.02213 |
| QTs, paired | 65.190 | 59.468 | +5.722 | 1.09622 |
| 86s, all flops | 36.263 | 46.243 | -9.980 | 0.78418 |
| 86s, rainbow, ten or higher | 29.195 | 46.243 | -17.048 | 0.63134 |
| 86s, rainbow, nine or lower | 61.226 | 46.243 | +14.983 | 1.32401 |
| 86s, two-tone | 36.809 | 46.243 | -9.434 | 0.79599 |
| 86s, monotone | 39.216 | 46.243 | -7.027 | 0.84804 |
| 86s, paired | 34.810 | 46.243 | -11.433 | 0.75276 |
Does a shared suit matter?
The suit split reads 66.16% for QTs with a shared suit and 62.93% without one. QTs does better with a shared suit, by 3.23 points.
| Deals | Specific deals | Share of deals | QTs wins | Ties | 86s wins | QTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.674 | 0.978 | 33.348 | 66.163 |
| No shared suit | 12 | 75.00 | 62.503 | 0.850 | 36.647 | 62.928 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 16 are QTs in one seat and 86s in the other (0.0010%); with the seats swapped too, 32 (0.0020%).
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, QTs' average share is $127.48 (a gain of $27.48) and 86s' is $72.52 (a loss of $27.48).
Think in thousands: about 633 of 1,000 go to QTs, about 358 go to 86s, and about 9 are chopped.
The same matchup from the other side
One page covers both views. From 86s' side the equity is 36.26%, and from QTs' side it is 63.74%.
Keep exploring
Try QsTs against 8h6h 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 16 specific QTs against 86s 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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