79.16%
Wins 78.96%, ties 0.40%
64s
20.84%
Wins 20.64%, ties 0.40%
QQ against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 78.956 | 0.403 | 20.641 | 79.157 | |
| 64s | 20.641 | 0.403 | 78.956 | 20.843 |
QQ and 64s are a pocket pair and a suited hand, in that order. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.
QQ is the clear favorite, though 64s gets there on roughly one board in 5. About 0.40% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Ranked by equity against a random hand, QQ is number 3 of the 169 starting hands and 64s is number 138.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 32,447,000 | 166,000 | 8,482,000 | |
| 64s | 8,482,000 | 166,000 | 32,447,000 |
The board total is exact, 24 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| 3.798 | 1.267 | 4.845 | 0.263 | |
| 64s | 0.263 | 4.845 | 1.267 | 3.798 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Rainbow flops topped by a ten or better are the best for QQ (84.95%); low rainbow flops (nine high or lower) are the worst (64.28%). 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 | 64s wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 84.866 | 0.171 | 14.963 | 84.951 |
| Rainbow, nine or lower | 6.314 | 63.809 | 0.938 | 35.253 | 64.278 |
| Two-tone | 46.545 | 77.103 | 0.309 | 22.588 | 77.258 |
| Monotone | 5.212 | 72.635 | 2.439 | 24.926 | 73.854 |
| Paired | 17.334 | 82.962 | 0.177 | 16.861 | 83.051 |
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
Against one random hand instead, QQ holds 79.93% and 64s holds 41.33%. Facing each other changes that by -0.77 points for QQ and -20.49 points for 64s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 79.157 | 79.925 | -0.768 | 0.99039 |
| QQ, rainbow, ten or higher | 84.951 | 79.925 | +5.026 | 1.06288 |
| QQ, rainbow, nine or lower | 64.278 | 79.925 | -15.647 | 0.80423 |
| QQ, two-tone | 77.258 | 79.925 | -2.667 | 0.96663 |
| QQ, monotone | 73.854 | 79.925 | -6.071 | 0.92404 |
| QQ, paired | 83.051 | 79.925 | +3.126 | 1.03911 |
| 64s, all flops | 20.843 | 41.333 | -20.490 | 0.50427 |
| 64s, rainbow, ten or higher | 15.049 | 41.333 | -26.284 | 0.36409 |
| 64s, rainbow, nine or lower | 35.722 | 41.333 | -5.611 | 0.86425 |
| 64s, two-tone | 22.742 | 41.333 | -18.591 | 0.55021 |
| 64s, monotone | 26.146 | 41.333 | -15.187 | 0.63257 |
| 64s, paired | 16.949 | 41.333 | -24.384 | 0.41006 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (QQ at 79.74%) and 12 do not (78.58%). QQ does better with a shared suit, by 1.16 points.
| Deals | Specific deals | Share of deals | QQ wins | Ties | 64s wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 79.517 | 0.445 | 20.038 | 79.740 |
| No shared suit | 12 | 50.00 | 78.395 | 0.360 | 21.245 | 78.575 |
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
To see what the equity is worth, imagine $100 each in a $200 pot. QQ is worth $158.32 on average (+$58.32); 64s is worth $41.68 (-$58.32).
Per 1,000 deals: QQ wins about 790, 64s wins about 206, and about 4 end in a split pot.
The same matchup from the other side
The reversed view, 64s against QQ, shows 20.84% for 64s and 79.16% for QQ. It is the same count, so it redirects here.
Keep exploring
Open the calculator with QsQh against 6d4d 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
Nothing here is simulated. The 24 deals of QQ against 64s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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