81.93%
Wins 81.74%, ties 0.40%
J9s
18.07%
Wins 17.86%, ties 0.40%
QQ against J9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 81.736 | 0.395 | 17.869 | 81.934 | |
| J9s | 17.869 | 0.395 | 81.736 | 18.066 |
The first hand is a pocket pair; the second is a suited hand. A pair against two lower cards is a lopsided matchup: the pair is ahead and the other hand has no overcard to catch.
QQ is a big favorite here before anyone sees a flop. About 0.40% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Place 3 of 169 belongs to QQ and place 55 belongs to J9s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 33,590,000 | 162,000 | 7,343,000 | |
| J9s | 7,343,000 | 162,000 | 33,590,000 |
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) |
|---|---|---|---|---|
| 4.535 | 1.223 | 5.596 | 0.220 | |
| J9s | 0.220 | 5.596 | 1.223 | 4.535 |
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
Across the five flop textures QQ's equity moves by 9.64 points, from 75.82% on monotone flops to 85.46% on low rainbow flops (nine high or lower). QQ stays ahead on all five textures.
| Flop | Share of flops | QQ wins | Ties | J9s wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 83.314 | 0.139 | 16.547 | 83.383 |
| Rainbow, nine or lower | 7.042 | 84.976 | 0.961 | 14.063 | 85.456 |
| Two-tone | 46.545 | 79.980 | 0.299 | 19.721 | 80.130 |
| Monotone | 5.212 | 74.628 | 2.392 | 22.980 | 75.824 |
| Paired | 17.334 | 85.099 | 0.177 | 14.724 | 85.188 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
Against one random hand instead, QQ holds 79.93% and J9s holds 55.66%. Facing each other changes that by +2.00 points for QQ and -37.59 points for J9s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 81.934 | 79.925 | +2.009 | 1.02514 |
| QQ, rainbow, ten or higher | 83.383 | 79.925 | +3.458 | 1.04327 |
| QQ, rainbow, nine or lower | 85.456 | 79.925 | +5.531 | 1.06920 |
| QQ, two-tone | 80.130 | 79.925 | +0.205 | 1.00256 |
| QQ, monotone | 75.824 | 79.925 | -4.101 | 0.94869 |
| QQ, paired | 85.188 | 79.925 | +5.263 | 1.06585 |
| J9s, all flops | 18.066 | 55.662 | -37.596 | 0.32457 |
| J9s, rainbow, ten or higher | 16.617 | 55.662 | -39.045 | 0.29853 |
| J9s, rainbow, nine or lower | 14.544 | 55.662 | -41.118 | 0.26129 |
| J9s, two-tone | 19.870 | 55.662 | -35.792 | 0.35698 |
| J9s, monotone | 24.176 | 55.662 | -31.486 | 0.43434 |
| J9s, paired | 14.812 | 55.662 | -40.850 | 0.26611 |
Does a shared suit matter?
The suit split reads 82.52% for QQ with a shared suit and 81.35% without one. QQ does better with a shared suit, by 1.17 points.
| Deals | Specific deals | Share of deals | QQ wins | Ties | J9s wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 82.299 | 0.436 | 17.265 | 82.517 |
| No shared suit | 12 | 50.00 | 81.173 | 0.355 | 18.472 | 81.351 |
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 $163.86 on average (+$63.86); J9s is worth $36.14 (-$63.86).
A thousand deals look like this: QQ takes 817, J9s takes 179, 4 are ties.
The same matchup from the other side
The mirror image, J9s against QQ, is 18.07% to 81.93%, and its address redirects to this page.
Keep exploring
QsQh against Jd9d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
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 J9s, 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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