79.07%
Wins 78.89%, ties 0.36%
86s
20.93%
Wins 20.75%, ties 0.36%
QQ against 86s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 78.888 | 0.355 | 20.757 | 79.066 | |
| 86s | 20.757 | 0.355 | 78.888 | 20.934 |
The first hand is a pocket pair; the second is a suited hand. A pair against two lower cards is a lopsided matchup: the pair is ahead and the other hand has no overcard to catch.
QQ is the clear favorite, though 86s gets there on roughly one board in 5. A split pot comes up on 0.36% of boards, so the wins and the equity differ by half of that.
Ranked by equity against a random hand, QQ is number 3 of the 169 starting hands and 86s is number 110.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 32,419,000 | 146,000 | 8,530,000 | |
| 86s | 8,530,000 | 146,000 | 32,419,000 |
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) |
|---|---|---|---|---|
| 3.777 | 1.268 | 4.818 | 0.265 | |
| 86s | 0.265 | 4.818 | 1.268 | 3.777 |
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
By flop texture, QQ's equity runs from 66.45% on low rainbow flops (nine high or lower) up to 84.24% on rainbow flops topped by a ten or better. QQ stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | QQ wins | Ties | 86s wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 84.167 | 0.150 | 15.683 | 84.242 |
| Rainbow, nine or lower | 6.314 | 66.096 | 0.717 | 33.187 | 66.454 |
| Two-tone | 46.545 | 77.024 | 0.254 | 22.722 | 77.151 |
| Monotone | 5.212 | 72.569 | 2.374 | 25.057 | 73.756 |
| Paired | 17.334 | 82.965 | 0.176 | 16.859 | 83.053 |
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
Against one random hand instead, QQ holds 79.93% and 86s holds 46.24%. Facing each other changes that by -0.86 points for QQ and -25.31 points for 86s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 79.066 | 79.925 | -0.859 | 0.98925 |
| QQ, rainbow, ten or higher | 84.242 | 79.925 | +4.317 | 1.05401 |
| QQ, rainbow, nine or lower | 66.454 | 79.925 | -13.471 | 0.83145 |
| QQ, two-tone | 77.151 | 79.925 | -2.774 | 0.96529 |
| QQ, monotone | 73.756 | 79.925 | -6.169 | 0.92282 |
| QQ, paired | 83.053 | 79.925 | +3.128 | 1.03914 |
| 86s, all flops | 20.934 | 46.243 | -25.309 | 0.45270 |
| 86s, rainbow, ten or higher | 15.758 | 46.243 | -30.485 | 0.34077 |
| 86s, rainbow, nine or lower | 33.546 | 46.243 | -12.697 | 0.72543 |
| 86s, two-tone | 22.849 | 46.243 | -23.394 | 0.49411 |
| 86s, monotone | 26.244 | 46.243 | -19.999 | 0.56752 |
| 86s, paired | 16.947 | 46.243 | -29.296 | 0.36648 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common QQ has 79.64% equity, and with none in common it has 78.49%. QQ does better with a shared suit, by 1.15 points.
| Deals | Specific deals | Share of deals | QQ wins | Ties | 86s wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 79.442 | 0.398 | 20.160 | 79.641 |
| No shared suit | 12 | 50.00 | 78.334 | 0.312 | 21.354 | 78.490 |
How often this matchup comes up
Exactly 24 specific deals fit this matchup in one seat order, which is 0.0015% of 1,624,350; both orders together give 48, or 0.0030%.
A worked example
Put $100 each into a $200 pot and deal every board once: QQ averages $158.14 back, ahead of its $100 by $58.14, while 86s averages $41.86, short of its $100 by $58.14.
Think in thousands: about 789 of 1,000 go to QQ, about 208 go to 86s, and about 3 are chopped.
The same matchup from the other side
The mirror image, 86s against QQ, is 20.93% to 79.07%, and its address redirects to this page.
Keep exploring
QsQh against 8d6d 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 page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 24 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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