77.51%
Wins 77.32%, ties 0.39%
65s
22.49%
Wins 22.29%, ties 0.39%
QQ against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77.316 | 0.393 | 22.291 | 77.512 | |
| 65s | 22.291 | 0.393 | 77.316 | 22.488 |
QQ is a pocket pair and 65s is a suited hand. The pair outranks both of the other hand's cards, which is why the pair is a strong favorite.
A lead of 55.02 points is large but not decisive: 65s still takes about 223 of every 1,000 deals. Split pots make up 0.39% of the boards, and both equity figures count them as half a win each.
For context, QQ sits at number 3 of 169 starting hands and 65s at number 128 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 31,773,000 | 162,000 | 9,161,000 | |
| 65s | 9,161,000 | 162,000 | 31,773,000 |
The total is exact: 24 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) |
|---|---|---|---|---|
| 3.447 | 1.293 | 4.486 | 0.290 | |
| 65s | 0.290 | 4.486 | 1.293 | 3.447 |
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
Rainbow flops topped by a ten or better are the best for QQ (83.75%); low rainbow flops (nine high or lower) are the worst (59.58%). 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 | 65s wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 83.660 | 0.170 | 16.170 | 83.745 |
| Rainbow, nine or lower | 6.314 | 59.149 | 0.869 | 39.982 | 59.583 |
| Two-tone | 46.545 | 75.351 | 0.299 | 24.350 | 75.500 |
| Monotone | 5.212 | 71.342 | 2.432 | 26.226 | 72.558 |
| Paired | 17.334 | 82.002 | 0.177 | 17.821 | 82.091 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Start from the random-hand figures, 79.93% for QQ and 43.13% for 65s. This opponent changes them by -2.42 and -20.64 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 77.512 | 79.925 | -2.413 | 0.96981 |
| QQ, rainbow, ten or higher | 83.745 | 79.925 | +3.820 | 1.04779 |
| QQ, rainbow, nine or lower | 59.583 | 79.925 | -20.342 | 0.74549 |
| QQ, two-tone | 75.500 | 79.925 | -4.425 | 0.94464 |
| QQ, monotone | 72.558 | 79.925 | -7.367 | 0.90783 |
| QQ, paired | 82.091 | 79.925 | +2.166 | 1.02710 |
| 65s, all flops | 22.488 | 43.133 | -20.645 | 0.52136 |
| 65s, rainbow, ten or higher | 16.255 | 43.133 | -26.878 | 0.37686 |
| 65s, rainbow, nine or lower | 40.417 | 43.133 | -2.716 | 0.93703 |
| 65s, two-tone | 24.500 | 43.133 | -18.633 | 0.56801 |
| 65s, monotone | 27.442 | 43.133 | -15.691 | 0.63622 |
| 65s, paired | 17.909 | 43.133 | -25.224 | 0.41520 |
Does a shared suit matter?
The suit split reads 78.07% for QQ with a shared suit and 76.96% without one. QQ does better with a shared suit, by 1.11 points.
| Deals | Specific deals | Share of deals | QQ wins | Ties | 65s wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 77.850 | 0.436 | 21.714 | 78.068 |
| No shared suit | 12 | 50.00 | 76.781 | 0.350 | 22.869 | 76.956 |
How often this matchup comes up
Exactly 24 specific deals fit this matchup in one seat order, which is 0.0015% of 1,624,350; both orders together give 48, or 0.0030%.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says QQ gets $155.02 of it on average and 65s gets $44.98.
Over a long run, 1,000 deals split into about 773 for QQ, 223 for 65s and 4 tied.
The same matchup from the other side
Read it from the other side: 65s against QQ is the same matchup with the numbers swapped, so 65s holds 22.49% and QQ holds 77.51%. That address sends you back to this page.
Keep exploring
The calculator link fills in QsQh against 6d5d, 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 24 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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