77.94%
Wins 77.77%, ties 0.35%
76s
22.06%
Wins 21.88%, ties 0.35%
QQ against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77.766 | 0.351 | 21.883 | 77.941 | |
| 76s | 21.883 | 0.351 | 77.766 | 22.059 |
We compare a pocket pair with 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 well ahead, and 76s needs a specific kind of board to catch up. Ties are part of the picture: 0.35% of boards end in a split pot, and each side counts that as half a win.
Among the 169 starting hands, QQ is number 3 and 76s is number 115 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 31,958,000 | 144,000 | 8,993,000 | |
| 76s | 8,993,000 | 144,000 | 31,958,000 |
24 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) |
|---|---|---|---|---|
| 3.533 | 1.286 | 4.570 | 0.283 | |
| 76s | 0.283 | 4.570 | 1.286 | 3.533 |
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
Across the five flop textures QQ's equity moves by 20.48 points, from 63.05% on low rainbow flops (nine high or lower) to 83.53% 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 | 76s wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 83.447 | 0.160 | 16.393 | 83.527 |
| Rainbow, nine or lower | 6.314 | 62.720 | 0.649 | 36.631 | 63.045 |
| Two-tone | 46.545 | 75.857 | 0.250 | 23.893 | 75.982 |
| Monotone | 5.212 | 71.699 | 2.379 | 25.922 | 72.888 |
| Paired | 17.334 | 82.135 | 0.177 | 17.688 | 82.223 |
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 QQ from 79.93% by -1.99 points and 76s from 45.37% by -23.31 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 77.941 | 79.925 | -1.984 | 0.97518 |
| QQ, rainbow, ten or higher | 83.527 | 79.925 | +3.602 | 1.04507 |
| QQ, rainbow, nine or lower | 63.045 | 79.925 | -16.880 | 0.78880 |
| QQ, two-tone | 75.982 | 79.925 | -3.943 | 0.95067 |
| QQ, monotone | 72.888 | 79.925 | -7.037 | 0.91195 |
| QQ, paired | 82.223 | 79.925 | +2.298 | 1.02875 |
| 76s, all flops | 22.059 | 45.372 | -23.313 | 0.48618 |
| 76s, rainbow, ten or higher | 16.473 | 45.372 | -28.899 | 0.36307 |
| 76s, rainbow, nine or lower | 36.955 | 45.372 | -8.417 | 0.81449 |
| 76s, two-tone | 24.018 | 45.372 | -21.354 | 0.52936 |
| 76s, monotone | 27.112 | 45.372 | -18.260 | 0.59755 |
| 76s, paired | 17.777 | 45.372 | -27.595 | 0.39181 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common QQ has 78.50% equity, and with none in common it has 77.38%. QQ does better with a shared suit, by 1.12 points.
| Deals | Specific deals | Share of deals | QQ wins | Ties | 76s wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 78.307 | 0.394 | 21.299 | 78.504 |
| No shared suit | 12 | 50.00 | 77.225 | 0.308 | 22.467 | 77.379 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 24 are QQ in one seat and 76s in the other (0.0015%); with the seats swapped too, 48 (0.0030%).
A worked example
Take a $200 pot built from $100 each. QQ's equity of 77.94% is worth $155.88, a $55.88 edge, and 76s' 22.06% is worth $44.12, which is $55.88 under its stake.
Out of 1,000 deals you should see around 778 outright wins for QQ, 219 for 76s, and 3 split pots.
The same matchup from the other side
Read it from the other side: 76s against QQ is the same matchup with the numbers swapped, so 76s holds 22.06% and QQ holds 77.94%. That address sends you back to this page.
Keep exploring
Open the calculator with QsQh against 7d6d 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
We counted every case. Each suit pattern of the 24 specific QQ against 76s 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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