JJ vs KQo: preflop equity

Over all 1,712,304 boards that can follow this deal, JJ finishes with 56.46% of the pot and KQo with 43.54%.

JJ

56.46%

Wins 56.26%, ties 0.41%

KQo

43.54%

Wins 43.33%, ties 0.41%

Equity counts a tie as half a win. Exact over every board.

JJ against KQo: the numbers

Exact preflop results for JJ against KQo, in percent
HandWinsTiesLosesEquity
JJ56.2580.41243.33056.464
KQo43.3300.41256.25843.536

JJ and KQo are a pocket pair and an offsuit hand, in that order. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.

JJ is ahead, but KQo is far from dead: it takes 433 of every 1,000 deals outright. Of every 100 boards, about 0.41 are split pots, and the equity figures already include them.

Among the 169 starting hands, JJ is number 4 and KQo is number 23 by strength against a random hand.

Boards behind the percentages: 123,285,888 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JJ69,358,000508,00053,420,000
KQo53,420,000508,00069,358,000

The total is exact: 72 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

JJ against KQo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JJ1.2971.7782.3080.771
KQo0.7712.3081.7781.297

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

Split by what the flop looks like, JJ peaks at 75.27% on low rainbow flops (nine high or lower) and bottoms out at 48.90% on rainbow flops topped by a ten or better. KQo is ahead on rainbow flops topped by a ten or better, even though it trails JJ when every flop is counted.

JJ against KQo by flop texture, in percent
FlopShare of flopsJJ winsTiesKQo winsJJ equity
Rainbow, ten or higher23.26048.8440.11351.04348.901
Rainbow, nine or lower7.77174.6391.27024.09175.274
Two-tone46.48554.9270.38544.68855.119
Monotone5.15151.3531.74846.89952.227
Paired17.33362.9970.10336.90063.049

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

A random hand would give JJ 77.47% and KQo 61.46%. Against each other the change is -21.01 points for JJ and -17.92 for KQo.

JJ and KQo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JJ, all flops56.46477.469-21.0050.72886
JJ, rainbow, ten or higher48.90177.469-28.5680.63123
JJ, rainbow, nine or lower75.27477.469-2.1950.97167
JJ, two-tone55.11977.469-22.3500.71150
JJ, monotone52.22777.469-25.2420.67417
JJ, paired63.04977.469-14.4200.81386
KQo, all flops43.53661.456-17.9200.70841
KQo, rainbow, ten or higher51.09961.456-10.3570.83147
KQo, rainbow, nine or lower24.72661.456-36.7300.40234
KQo, two-tone44.88161.456-16.5750.73029
KQo, monotone47.77361.456-13.6830.77735
KQo, paired36.95161.456-24.5050.60126

Does a shared suit matter?

Of the deals of this matchup, 60 share a suit (JJ at 56.38%) and 12 do not (56.88%). JJ does better with no shared suit, by 0.50 points.

JJ against KQo by suit overlap, in percent
DealsSpecific dealsShare of dealsJJ winsTiesKQo winsJJ equity
Share a suit6083.3356.1670.42843.40556.381
No shared suit1216.6756.7170.33242.95156.883

How often this matchup comes up

Exactly 72 specific deals fit this matchup in one seat order, which is 0.0044% of 1,624,350; both orders together give 144, or 0.0089%.

A worked example

With $100 from each side, the $200 pot is split on average as $112.92 for JJ and $87.08 for KQo; the first side gains $12.92 per all-in and the second gives up $12.92.

Over a long run, 1,000 deals split into about 563 for JJ, 433 for KQo and 4 tied.

The same matchup from the other side

Read it from the other side: KQo against JJ is the same matchup with the numbers swapped, so KQo holds 43.54% and JJ holds 56.46%. That address sends you back to this page.

Try JsJh against KdQc 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

We counted every case. Each suit pattern of the 72 specific JJ against KQo deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.

Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.

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