81.40%
Wins 81.16%, ties 0.48%
33
18.60%
Wins 18.36%, ties 0.48%
QQ against 33: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 81.162 | 0.480 | 18.358 | 81.402 | |
| 33 | 18.358 | 0.480 | 81.162 | 18.598 |
QQ meets 33, and both are pocket pairs. A pair against a smaller pair is the classic crush: the smaller pair needs one of its two remaining cards to make a set.
QQ is a big favorite here before anyone sees a flop. Ties are part of the picture: 0.48% of boards end in a split pot, and each side counts that as half a win.
QQ ranks number 3 of 169 starting hands, and 33 ranks number 66, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 50,031,000 | 296,000 | 11,316,000 | |
| 33 | 11,316,000 | 296,000 | 50,031,000 |
Exact total: 36 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) |
|---|---|---|---|---|
| 4.377 | 1.232 | 5.447 | 0.228 | |
| 33 | 0.228 | 5.447 | 1.232 | 4.377 |
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
If you know the kind of flop that came, the numbers shift: QQ holds 86.92% on paired flops and 68.29% on low rainbow flops (nine high or lower). 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 | 33 wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 83.980 | 0.219 | 15.801 | 84.090 |
| Rainbow, nine or lower | 6.314 | 67.651 | 1.279 | 31.070 | 68.291 |
| Two-tone | 46.363 | 80.069 | 0.417 | 19.514 | 80.278 |
| Monotone | 5.152 | 74.769 | 2.287 | 22.944 | 75.913 |
| Paired | 17.576 | 86.827 | 0.193 | 12.980 | 86.924 |
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
Relative to a random opponent, QQ changes by +1.47 points (baseline 79.93%) and 33 by -35.09 points (baseline 53.69%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 81.402 | 79.925 | +1.477 | 1.01848 |
| QQ, rainbow, ten or higher | 84.090 | 79.925 | +4.165 | 1.05211 |
| QQ, rainbow, nine or lower | 68.291 | 79.925 | -11.634 | 0.85444 |
| QQ, two-tone | 80.278 | 79.925 | +0.353 | 1.00442 |
| QQ, monotone | 75.913 | 79.925 | -4.012 | 0.94980 |
| QQ, paired | 86.924 | 79.925 | +6.999 | 1.08757 |
| 33, all flops | 18.598 | 53.693 | -35.095 | 0.34638 |
| 33, rainbow, ten or higher | 15.910 | 53.693 | -37.783 | 0.29631 |
| 33, rainbow, nine or lower | 31.709 | 53.693 | -21.984 | 0.59056 |
| 33, two-tone | 19.722 | 53.693 | -33.971 | 0.36731 |
| 33, monotone | 24.087 | 53.693 | -29.606 | 0.44861 |
| 33, paired | 13.076 | 53.693 | -40.617 | 0.24353 |
Does a shared suit matter?
Does suit overlap move the numbers? QQ has 81.53% when the hands share a suit and 80.74% when they do not. QQ does better with a shared suit, by 0.79 points.
| Deals | Specific deals | Share of deals | QQ wins | Ties | 33 wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 30 | 83.33 | 81.289 | 0.491 | 18.220 | 81.534 |
| No shared suit | 6 | 16.67 | 80.527 | 0.424 | 19.049 | 80.739 |
How often this matchup comes up
How often does it happen? 36 of the 1,624,350 ordered deals (0.0022%) are QQ against 33, and 72 (0.0044%) if either hand may sit in either seat.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says QQ gets $162.80 of it on average and 33 gets $37.20.
Think in thousands: about 812 of 1,000 go to QQ, about 183 go to 33, and about 5 are chopped.
The same matchup from the other side
One page covers both views. From 33's side the equity is 18.60%, and from QQ's side it is 81.40%.
Keep exploring
The calculator link fills in QsQh against 3d3c, 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 33 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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