81.97%
Wins 81.75%, ties 0.44%
JJ
18.03%
Wins 17.81%, ties 0.44%
QQ against JJ: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 81.747 | 0.439 | 17.814 | 81.966 | |
| JJ | 17.814 | 0.439 | 81.747 | 18.034 |
This is a contest between two pocket pairs, QQ and JJ. A pair against a smaller pair is the classic crush: the smaller pair needs one of its two remaining cards to make a set.
This is one of the lopsided matchups: JJ wins only 17.81% of the boards outright. About 0.44% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Among the 169 starting hands, QQ is number 3 and JJ is number 4 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 50,391,000 | 271,000 | 10,981,000 | |
| JJ | 10,981,000 | 271,000 | 50,391,000 |
36 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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) |
|---|---|---|---|---|
| 4.545 | 1.223 | 5.614 | 0.220 | |
| JJ | 0.220 | 5.614 | 1.223 | 4.545 |
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
Low rainbow flops (nine high or lower) are the best for QQ (90.27%); monotone flops are the worst (76.22%). QQ stays ahead on all five textures.
| Flop | Share of flops | QQ wins | Ties | JJ wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 78.701 | 0.131 | 21.168 | 78.767 |
| Rainbow, nine or lower | 7.771 | 89.636 | 1.270 | 9.094 | 90.271 |
| Two-tone | 46.363 | 80.843 | 0.399 | 18.758 | 81.042 |
| Monotone | 5.152 | 75.340 | 1.761 | 22.899 | 76.221 |
| Paired | 17.576 | 86.533 | 0.193 | 13.274 | 86.630 |
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
A random hand would give QQ 79.93% and JJ 77.47%. Against each other the change is +2.04 points for QQ and -59.44 for JJ.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 81.966 | 79.925 | +2.041 | 1.02554 |
| QQ, rainbow, ten or higher | 78.767 | 79.925 | -1.158 | 0.98551 |
| QQ, rainbow, nine or lower | 90.271 | 79.925 | +10.346 | 1.12945 |
| QQ, two-tone | 81.042 | 79.925 | +1.117 | 1.01398 |
| QQ, monotone | 76.221 | 79.925 | -3.704 | 0.95366 |
| QQ, paired | 86.630 | 79.925 | +6.705 | 1.08389 |
| JJ, all flops | 18.034 | 77.469 | -59.435 | 0.23279 |
| JJ, rainbow, ten or higher | 21.233 | 77.469 | -56.236 | 0.27408 |
| JJ, rainbow, nine or lower | 9.729 | 77.469 | -67.740 | 0.12559 |
| JJ, two-tone | 18.958 | 77.469 | -58.511 | 0.24472 |
| JJ, monotone | 23.779 | 77.469 | -53.690 | 0.30695 |
| JJ, paired | 13.370 | 77.469 | -64.099 | 0.17259 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common QQ has 82.11% equity, and with none in common it has 81.28%. QQ does better with a shared suit, by 0.83 points.
| Deals | Specific deals | Share of deals | QQ wins | Ties | JJ wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 30 | 83.33 | 81.877 | 0.455 | 17.668 | 82.105 |
| No shared suit | 6 | 16.67 | 81.096 | 0.359 | 18.545 | 81.276 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 36 are QQ in one seat and JJ in the other (0.0022%); with the seats swapped too, 72 (0.0044%).
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. QQ averages $163.94 from the $200, up $63.94; JJ averages $36.06, down $63.94.
Per 1,000 deals: QQ wins about 818, JJ wins about 178, and about 4 end in a split pot.
The same matchup from the other side
The reversed view, JJ against QQ, shows 18.03% for JJ and 81.97% for QQ. It is the same count, so it redirects here.
Keep exploring
Try QsQh against JdJc in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
All 1,712,304 five-card boards are dealt for every suit pattern among the 36 specific deals of QQ against JJ, 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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