67.07%
Wins 66.86%, ties 0.44%
A4s
32.93%
Wins 32.70%, ties 0.44%
QQ against A4s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 66.855 | 0.435 | 32.710 | 67.073 | |
| A4s | 32.710 | 0.435 | 66.855 | 32.927 |
One side is a pocket pair, the other is a suited hand. The pair is ahead of one card and behind the other, so the board decides how that plays out.
QQ is well ahead, and A4s needs a specific kind of board to catch up. Split pots make up 0.44% of the boards, and both equity figures count them as half a win each.
Place 3 of 169 belongs to QQ and place 35 belongs to A4s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 27,474,000 | 179,000 | 13,442,000 | |
| A4s | 13,442,000 | 179,000 | 27,474,000 |
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) |
|---|---|---|---|---|
| 2.037 | 1.496 | 3.057 | 0.491 | |
| A4s | 0.491 | 3.057 | 1.496 | 2.037 |
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 9.88 points, from 62.78% on monotone flops to 72.66% on low rainbow flops (nine high or lower). QQ stays ahead on all five textures.
| Flop | Share of flops | QQ wins | Ties | A4s wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 67.083 | 0.162 | 32.755 | 67.164 |
| Rainbow, nine or lower | 7.042 | 72.064 | 1.195 | 26.741 | 72.661 |
| Two-tone | 46.545 | 65.055 | 0.366 | 34.579 | 65.238 |
| Monotone | 5.212 | 61.555 | 2.441 | 36.004 | 62.776 |
| Paired | 17.334 | 70.852 | 0.083 | 29.065 | 70.894 |
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
Compared with a random opponent, this matchup shifts QQ from 79.93% by -12.86 points and A4s from 59.03% by -26.10 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 67.073 | 79.925 | -12.852 | 0.83920 |
| QQ, rainbow, ten or higher | 67.164 | 79.925 | -12.761 | 0.84034 |
| QQ, rainbow, nine or lower | 72.661 | 79.925 | -7.264 | 0.90911 |
| QQ, two-tone | 65.238 | 79.925 | -14.687 | 0.81624 |
| QQ, monotone | 62.776 | 79.925 | -17.149 | 0.78544 |
| QQ, paired | 70.894 | 79.925 | -9.031 | 0.88701 |
| A4s, all flops | 32.927 | 59.034 | -26.107 | 0.55776 |
| A4s, rainbow, ten or higher | 32.836 | 59.034 | -26.198 | 0.55622 |
| A4s, rainbow, nine or lower | 27.339 | 59.034 | -31.695 | 0.46311 |
| A4s, two-tone | 34.762 | 59.034 | -24.272 | 0.58885 |
| A4s, monotone | 37.224 | 59.034 | -21.810 | 0.63055 |
| A4s, paired | 29.106 | 59.034 | -29.928 | 0.49304 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common QQ has 67.36% equity, and with none in common it has 66.79%. QQ does better with a shared suit, by 0.57 points.
| Deals | Specific deals | Share of deals | QQ wins | Ties | A4s wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 67.120 | 0.477 | 32.403 | 67.359 |
| No shared suit | 12 | 50.00 | 66.590 | 0.393 | 33.017 | 66.787 |
How often this matchup comes up
QQ against A4s is made up of 24 specific-card matchups in one seat order, 0.0015% of the 1,624,350 ordered deals, and 48 counting both seat orders, 0.0030%.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says QQ gets $134.14 of it on average and A4s gets $65.86.
Per 1,000 deals: QQ wins about 669, A4s wins about 327, and about 4 end in a split pot.
The same matchup from the other side
The mirror image, A4s against QQ, is 32.93% to 67.07%, and its address redirects to this page.
Keep exploring
Open the calculator with QsQh against Ad4d 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 24 specific deals of QQ against A4s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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