JJ
53.67%
Wins 53.46%, ties 0.43%
KQs
46.33%
Wins 46.11%, ties 0.43%
JJ against KQs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JJ | 53.457 | 0.425 | 46.118 | 53.670 |
| KQs | 46.118 | 0.425 | 53.457 | 46.330 |
JJ, a pocket pair, plays KQs, a suited hand. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
This is close to even money, with JJ a little ahead. Of every 100 boards, about 0.43 are split pots, and the equity figures already include them.
Ranked by equity against a random hand, JJ is number 4 of the 169 starting hands and KQs is number 16.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JJ | 21,968,000 | 175,000 | 18,952,000 |
| KQs | 18,952,000 | 175,000 | 21,968,000 |
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) |
|---|---|---|---|---|
| JJ | 1.158 | 1.871 | 2.168 | 0.863 |
| KQs | 0.863 | 2.168 | 1.871 | 1.158 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Across the five flop textures JJ's equity moves by 24.83 points, from 47.50% on rainbow flops topped by a ten or better to 72.33% on low rainbow flops (nine high or lower). On rainbow flops topped by a ten or better the numbers flip and KQs is the one ahead.
| Flop | Share of flops | JJ wins | Ties | KQs wins | JJ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 47.447 | 0.108 | 52.445 | 47.501 |
| Rainbow, nine or lower | 7.771 | 71.721 | 1.210 | 27.069 | 72.326 |
| Two-tone | 46.545 | 51.203 | 0.348 | 48.449 | 51.377 |
| Monotone | 5.212 | 50.754 | 2.417 | 46.829 | 51.962 |
| Paired | 17.334 | 60.159 | 0.103 | 39.738 | 60.211 |
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
Start from the random-hand figures, 77.47% for JJ and 63.40% for KQs. This opponent changes them by -23.80 and -17.07 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JJ, all flops | 53.670 | 77.469 | -23.799 | 0.69279 |
| JJ, rainbow, ten or higher | 47.501 | 77.469 | -29.968 | 0.61316 |
| JJ, rainbow, nine or lower | 72.326 | 77.469 | -5.143 | 0.93361 |
| JJ, two-tone | 51.377 | 77.469 | -26.092 | 0.66319 |
| JJ, monotone | 51.962 | 77.469 | -25.507 | 0.67075 |
| JJ, paired | 60.211 | 77.469 | -17.258 | 0.77723 |
| KQs, all flops | 46.330 | 63.400 | -17.070 | 0.73076 |
| KQs, rainbow, ten or higher | 52.499 | 63.400 | -10.901 | 0.82806 |
| KQs, rainbow, nine or lower | 27.674 | 63.400 | -35.726 | 0.43650 |
| KQs, two-tone | 48.623 | 63.400 | -14.777 | 0.76692 |
| KQs, monotone | 48.038 | 63.400 | -15.362 | 0.75770 |
| KQs, paired | 39.789 | 63.400 | -23.611 | 0.62759 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, JJ has 53.81%; looking only at deals where they do not, 53.53%. JJ does better with a shared suit, by 0.28 points.
| Deals | Specific deals | Share of deals | JJ wins | Ties | KQs wins | JJ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 53.574 | 0.465 | 45.961 | 53.807 |
| No shared suit | 12 | 50.00 | 53.341 | 0.384 | 46.275 | 53.533 |
How often this matchup comes up
How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are JJ against KQs, and 48 (0.0030%) if either hand may sit in either seat.
A worked example
Take a $200 pot built from $100 each. JJ's equity of 53.67% is worth $107.34, a $7.34 edge, and KQs' 46.33% is worth $92.66, which is $7.34 under its stake.
Per 1,000 deals: JJ wins about 535, KQs wins about 461, and about 4 end in a split pot.
The same matchup from the other side
One page covers both views. From KQs' side the equity is 46.33%, and from JJ's side it is 53.67%.
Keep exploring
The calculator link fills in JsJh against KdQd, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
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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