79.16%
Wins 78.95%, ties 0.40%
75s
20.84%
Wins 20.65%, ties 0.40%
QQ against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 78.954 | 0.402 | 20.644 | 79.155 | |
| 75s | 20.644 | 0.402 | 78.954 | 20.845 |
Here a pocket pair (QQ) meets a suited hand (75s). A pair against two lower cards is a lopsided matchup: the pair is ahead and the other hand has no overcard to catch.
A lead of 58.32 points is large but not decisive: 75s still takes about 206 of every 1,000 deals. About 0.40% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
QQ ranks number 3 of 169 starting hands, and 75s ranks number 124, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 32,446,000 | 165,000 | 8,484,000 | |
| 75s | 8,484,000 | 165,000 | 32,446,000 |
Exact total: 24 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) |
|---|---|---|---|---|
| 3.797 | 1.267 | 4.844 | 0.263 | |
| 75s | 0.263 | 4.844 | 1.267 | 3.797 |
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
By flop texture, QQ's equity runs from 64.20% on low rainbow flops (nine high or lower) up to 84.97% on rainbow flops topped by a ten or better. 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 | 75s wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 84.866 | 0.211 | 14.923 | 84.972 |
| Rainbow, nine or lower | 6.314 | 63.809 | 0.781 | 35.410 | 64.200 |
| Two-tone | 46.545 | 77.103 | 0.309 | 22.588 | 77.258 |
| Monotone | 5.212 | 72.635 | 2.420 | 24.945 | 73.845 |
| Paired | 17.334 | 82.954 | 0.177 | 16.869 | 83.043 |
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
How much does the opponent matter? Compared with its random-hand 79.93%, QQ changes by -0.77 points, and 75s, from 43.68%, by -22.84.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 79.155 | 79.925 | -0.770 | 0.99037 |
| QQ, rainbow, ten or higher | 84.972 | 79.925 | +5.047 | 1.06315 |
| QQ, rainbow, nine or lower | 64.200 | 79.925 | -15.725 | 0.80325 |
| QQ, two-tone | 77.258 | 79.925 | -2.667 | 0.96663 |
| QQ, monotone | 73.845 | 79.925 | -6.080 | 0.92393 |
| QQ, paired | 83.043 | 79.925 | +3.118 | 1.03901 |
| 75s, all flops | 20.845 | 43.676 | -22.831 | 0.47726 |
| 75s, rainbow, ten or higher | 15.028 | 43.676 | -28.648 | 0.34408 |
| 75s, rainbow, nine or lower | 35.800 | 43.676 | -7.876 | 0.81967 |
| 75s, two-tone | 22.742 | 43.676 | -20.934 | 0.52070 |
| 75s, monotone | 26.155 | 43.676 | -17.521 | 0.59884 |
| 75s, paired | 16.957 | 43.676 | -26.719 | 0.38825 |
Does a shared suit matter?
When the hands share a suit, QQ holds 79.74%; when they do not, it holds 78.57%. QQ does better with a shared suit, by 1.17 points.
| Deals | Specific deals | Share of deals | QQ wins | Ties | 75s wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 79.516 | 0.445 | 20.039 | 79.738 |
| No shared suit | 12 | 50.00 | 78.394 | 0.358 | 21.248 | 78.573 |
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
Try it with money: two players each put in $100 and the whole board runs out every possible way. QQ averages $158.32 from the $200, up $58.32; 75s averages $41.68, down $58.32.
Per 1,000 deals: QQ wins about 790, 75s wins about 206, and about 4 end in a split pot.
The same matchup from the other side
Swap the hands and you get 75s with 20.84% against QQ with 79.16%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Open the calculator with QsQh against 7d5d 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
Method: exact enumeration. The 24 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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