80.87%
Wins 80.68%, ties 0.38%
88
19.13%
Wins 18.94%, ties 0.38%
QQ against 88: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 80.679 | 0.382 | 18.939 | 80.870 | |
| 88 | 18.939 | 0.382 | 80.679 | 19.130 |
Both hands are pocket pairs: QQ and 88. 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. Split pots make up 0.38% of the boards, and both equity figures count them as half a win each.
By strength against a random hand, QQ holds place 3 of 169 and 88 holds place 7.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 49,733,000 | 235,000 | 11,675,000 | |
| 88 | 11,675,000 | 235,000 | 49,733,000 |
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) |
|---|---|---|---|---|
| 4.227 | 1.239 | 5.280 | 0.237 | |
| 88 | 0.237 | 5.280 | 1.239 | 4.227 |
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
Across the five flop textures QQ's equity moves by 18.44 points, from 67.96% on low rainbow flops (nine high or lower) to 86.40% on paired flops. 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 | 88 wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 83.403 | 0.196 | 16.401 | 83.501 |
| Rainbow, nine or lower | 6.314 | 67.498 | 0.924 | 31.578 | 67.960 |
| Two-tone | 46.363 | 79.594 | 0.331 | 20.075 | 79.760 |
| Monotone | 5.152 | 74.400 | 1.718 | 23.882 | 75.259 |
| Paired | 17.576 | 86.304 | 0.193 | 13.503 | 86.401 |
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 QQ 79.93% and 88 69.16%. Against each other the change is +0.94 points for QQ and -50.03 for 88.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 80.870 | 79.925 | +0.945 | 1.01182 |
| QQ, rainbow, ten or higher | 83.501 | 79.925 | +3.576 | 1.04474 |
| QQ, rainbow, nine or lower | 67.960 | 79.925 | -11.965 | 0.85030 |
| QQ, two-tone | 79.760 | 79.925 | -0.165 | 0.99794 |
| QQ, monotone | 75.259 | 79.925 | -4.666 | 0.94162 |
| QQ, paired | 86.401 | 79.925 | +6.476 | 1.08103 |
| 88, all flops | 19.130 | 69.163 | -50.033 | 0.27659 |
| 88, rainbow, ten or higher | 16.499 | 69.163 | -52.664 | 0.23855 |
| 88, rainbow, nine or lower | 32.040 | 69.163 | -37.123 | 0.46325 |
| 88, two-tone | 20.240 | 69.163 | -48.923 | 0.29264 |
| 88, monotone | 24.741 | 69.163 | -44.422 | 0.35772 |
| 88, paired | 13.599 | 69.163 | -55.564 | 0.19662 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common QQ has 81.00% equity, and with none in common it has 80.20%. QQ does better with a shared suit, by 0.80 points.
| Deals | Specific deals | Share of deals | QQ wins | Ties | 88 wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 30 | 83.33 | 80.804 | 0.399 | 18.797 | 81.004 |
| No shared suit | 6 | 16.67 | 80.052 | 0.302 | 19.646 | 80.203 |
How often this matchup comes up
Exactly 36 specific deals fit this matchup in one seat order, which is 0.0022% of 1,624,350; both orders together give 72, or 0.0044%.
A worked example
Take a $200 pot built from $100 each. QQ's equity of 80.87% is worth $161.74, a $61.74 edge, and 88's 19.13% is worth $38.26, which is $61.74 under its stake.
Per 1,000 deals: QQ wins about 807, 88 wins about 189, and about 4 end in a split pot.
The same matchup from the other side
88 versus QQ is this same page seen from the other hand: 19.13% for 88, 80.87% for QQ.
Keep exploring
Try QsQh against 8d8c 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
This is an exact count with no sampling. For the 36 ways to deal one QQ and one 88 without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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