81.85%
Wins 81.58%, ties 0.53%
22
18.15%
Wins 17.89%, ties 0.53%
QQ against 22: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 81.584 | 0.527 | 17.889 | 81.847 | |
| 22 | 17.889 | 0.527 | 81.584 | 18.153 |
The matchup is pocket pairs on both sides, QQ against 22. Two pairs against each other is a one-way street: the lower pair needs one of its two remaining cards.
That is a heavy lead: 22 needs the board to help it on most runouts and still falls behind far more often than not. About 0.53% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Among the 169 starting hands, QQ is number 3 and 22 is number 87 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 50,291,000 | 325,000 | 11,027,000 | |
| 22 | 11,027,000 | 325,000 | 50,291,000 |
The total is exact: 36 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| 4.509 | 1.226 | 5.590 | 0.222 | |
| 22 | 0.222 | 5.590 | 1.226 | 4.509 |
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
QQ prefers paired flops, where it holds 87.15%, and likes low rainbow flops (nine high or lower) least, where it holds 69.77%. 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 | 22 wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 84.230 | 0.219 | 15.551 | 84.339 |
| Rainbow, nine or lower | 6.314 | 69.039 | 1.456 | 29.505 | 69.767 |
| Two-tone | 46.363 | 80.533 | 0.452 | 19.015 | 80.759 |
| Monotone | 5.152 | 75.123 | 2.674 | 22.203 | 76.460 |
| Paired | 17.576 | 87.052 | 0.193 | 12.755 | 87.149 |
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
Each hand has a baseline against a random hand: 79.93% for QQ, 50.33% for 22. Here the change is +1.92 and -32.18 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 81.847 | 79.925 | +1.922 | 1.02405 |
| QQ, rainbow, ten or higher | 84.339 | 79.925 | +4.414 | 1.05523 |
| QQ, rainbow, nine or lower | 69.767 | 79.925 | -10.158 | 0.87291 |
| QQ, two-tone | 80.759 | 79.925 | +0.834 | 1.01043 |
| QQ, monotone | 76.460 | 79.925 | -3.465 | 0.95665 |
| QQ, paired | 87.149 | 79.925 | +7.224 | 1.09038 |
| 22, all flops | 18.153 | 50.334 | -32.181 | 0.36065 |
| 22, rainbow, ten or higher | 15.661 | 50.334 | -34.673 | 0.31114 |
| 22, rainbow, nine or lower | 30.233 | 50.334 | -20.101 | 0.60065 |
| 22, two-tone | 19.241 | 50.334 | -31.093 | 0.38227 |
| 22, monotone | 23.540 | 50.334 | -26.794 | 0.46768 |
| 22, paired | 12.851 | 50.334 | -37.483 | 0.25531 |
Does a shared suit matter?
Split by suits, the deals give QQ 81.98% when the hands overlap in a suit and 81.19% when they do not. QQ does better with a shared suit, by 0.79 points.
| Deals | Specific deals | Share of deals | QQ wins | Ties | 22 wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 30 | 83.33 | 81.713 | 0.534 | 17.753 | 81.980 |
| No shared suit | 6 | 16.67 | 80.941 | 0.490 | 18.569 | 81.186 |
How often this matchup comes up
How often does it happen? 36 of the 1,624,350 ordered deals (0.0022%) are QQ against 22, and 72 (0.0044%) if either hand may sit in either seat.
A worked example
With $100 from each side, the $200 pot is split on average as $163.70 for QQ and $36.30 for 22; the first side gains $63.70 per all-in and the second gives up $63.70.
Scaled to 1,000 deals, that is roughly 816 wins for QQ, 179 for 22 and 5 chopped pots.
The same matchup from the other side
Read it from the other side: 22 against QQ is the same matchup with the numbers swapped, so 22 holds 18.15% and QQ holds 81.85%. That address sends you back to this page.
Keep exploring
The calculator link fills in QsQh against 2d2c, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
We counted every case. Each suit pattern of the 36 specific QQ against 22 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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