80.52%
Wins 80.32%, ties 0.40%
55
19.48%
Wins 19.28%, ties 0.40%
QQ against 55: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 80.317 | 0.404 | 19.279 | 80.519 | |
| 55 | 19.279 | 0.404 | 80.317 | 19.481 |
Both hands are pocket pairs: QQ and 55. Two pairs against each other is a one-way street: the lower pair needs one of its two remaining cards.
This is one of the lopsided matchups: 55 wins only 19.28% of the boards outright. Of every 100 boards, about 0.40 are split pots, and the equity figures already include them.
In the ranking of all 169 starting hands, QQ is number 3 and 55 is number 27.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 49,510,000 | 249,000 | 11,884,000 | |
| 55 | 11,884,000 | 249,000 | 49,510,000 |
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) |
|---|---|---|---|---|
| 4.133 | 1.245 | 5.187 | 0.242 | |
| 55 | 0.242 | 5.187 | 1.245 | 4.133 |
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 21.34 points, from 65.13% on low rainbow flops (nine high or lower) to 86.47% 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 | 55 wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 83.536 | 0.219 | 16.245 | 83.645 |
| Rainbow, nine or lower | 6.314 | 64.663 | 0.924 | 34.413 | 65.125 |
| Two-tone | 46.363 | 79.139 | 0.349 | 20.512 | 79.314 |
| Monotone | 5.152 | 74.063 | 1.863 | 24.074 | 74.994 |
| Paired | 17.576 | 86.377 | 0.193 | 13.430 | 86.473 |
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 +0.59 points (baseline 79.93%) and 55 by -40.85 points (baseline 60.33%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 80.519 | 79.925 | +0.594 | 1.00743 |
| QQ, rainbow, ten or higher | 83.645 | 79.925 | +3.720 | 1.04654 |
| QQ, rainbow, nine or lower | 65.125 | 79.925 | -14.800 | 0.81483 |
| QQ, two-tone | 79.314 | 79.925 | -0.611 | 0.99236 |
| QQ, monotone | 74.994 | 79.925 | -4.931 | 0.93830 |
| QQ, paired | 86.473 | 79.925 | +6.548 | 1.08193 |
| 55, all flops | 19.481 | 60.325 | -40.844 | 0.32293 |
| 55, rainbow, ten or higher | 16.355 | 60.325 | -43.970 | 0.27111 |
| 55, rainbow, nine or lower | 34.875 | 60.325 | -25.450 | 0.57812 |
| 55, two-tone | 20.686 | 60.325 | -39.639 | 0.34291 |
| 55, monotone | 25.006 | 60.325 | -35.319 | 0.41452 |
| 55, paired | 13.527 | 60.325 | -46.798 | 0.22424 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common QQ has 80.65% equity, and with none in common it has 79.86%. QQ does better with a shared suit, by 0.79 points.
| Deals | Specific deals | Share of deals | QQ wins | Ties | 55 wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 30 | 83.33 | 80.441 | 0.419 | 19.140 | 80.650 |
| No shared suit | 6 | 16.67 | 79.699 | 0.329 | 19.972 | 79.864 |
How often this matchup comes up
The class pair covers 36 combinations of specific cards in a fixed seat order, 0.0022% of 1,624,350, and 72 (0.0044%) in either order.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average QQ takes back $161.04 of it, which is $61.04 more than it put in, and 55 takes back $38.96, $61.04 less than it put in.
Run 1,000 deals and the tally comes out near 803 for QQ, 193 for 55 and 4 ties.
The same matchup from the other side
55 against QQ adds nothing new: it is 19.48% for 55 and 80.52% for QQ, the same figures reversed.
Keep exploring
Open the calculator with QsQh against 5d5c 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 36 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session