KK vs QJs: preflop equity

Over all 1,712,304 boards that can follow this deal, KK finishes with 82.30% of the pot and QJs with 17.70%.

KK

82.30%

Wins 82.09%, ties 0.42%

QJs

17.70%

Wins 17.49%, ties 0.42%

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

KK against QJs: the numbers

Exact preflop results for KK against QJs, in percent
HandWinsTiesLosesEquity
KK82.0850.42317.49282.296
QJs17.4920.42382.08517.704

The matchup pits a pocket pair against 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.

This is one of the lopsided matchups: QJs wins only 17.49% of the boards outright. A split pot comes up on 0.42% of boards, so the wins and the equity differ by half of that.

Among the 169 starting hands, KK is number 2 and QJs is number 28 by strength against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KK33,733,000174,0007,188,000
QJs7,188,000174,00033,733,000

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.

KK against QJs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KK4.6481.2185.7170.215
QJs0.2155.7171.2184.648

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

KK prefers low rainbow flops (nine high or lower), where it holds 92.09%, and likes monotone flops least, where it holds 76.10%. KK stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

KK against QJs by flop texture, in percent
FlopShare of flopsKK winsTiesQJs winsKK equity
Rainbow, ten or higher23.13881.6270.10818.26581.681
Rainbow, nine or lower7.77191.4801.2107.31092.085
Two-tone46.54580.3540.34819.29880.528
Monotone5.21274.8942.41922.68776.103
Paired17.33485.2940.09214.61485.340

Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.

Compared with a random hand

Compared with a random opponent, this matchup shifts KK from 82.40% by -0.10 points and QJs from 60.26% by -42.56 points.

KK and QJs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KK, all flops82.29682.396-0.1000.99879
KK, rainbow, ten or higher81.68182.396-0.7150.99132
KK, rainbow, nine or lower92.08582.396+9.6891.11759
KK, two-tone80.52882.396-1.8680.97733
KK, monotone76.10382.396-6.2930.92362
KK, paired85.34082.396+2.9441.03573
QJs, all flops17.70460.259-42.5550.29380
QJs, rainbow, ten or higher18.31960.259-41.9400.30400
QJs, rainbow, nine or lower7.91560.259-52.3440.13135
QJs, two-tone19.47260.259-40.7870.32314
QJs, monotone23.89760.259-36.3620.39657
QJs, paired14.66060.259-45.5990.24328

Does a shared suit matter?

Looking only at deals where the hands share a suit, KK has 82.88%; looking only at deals where they do not, 81.71%. KK does better with a shared suit, by 1.17 points.

KK against QJs by suit overlap, in percent
DealsSpecific dealsShare of dealsKK winsTiesQJs winsKK equity
Share a suit1250.0082.6530.46316.88482.884
No shared suit1250.0081.5170.38318.10081.708

How often this matchup comes up

This page stands for 24 specific-card matchups (0.0015% of 1,624,350 ordered deals), or 48 once you count the seats both ways (0.0030%).

A worked example

Take a $200 pot built from $100 each. KK's equity of 82.30% is worth $164.60, a $64.60 edge, and QJs' 17.70% is worth $35.40, which is $64.60 under its stake.

Think in thousands: about 821 of 1,000 go to KK, about 175 go to QJs, and about 4 are chopped.

The same matchup from the other side

If you came looking for QJs against KK, the numbers are the same with the hands swapped: 17.70% and 82.30%.

The calculator link fills in KsKh against QdJd, 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 24 specific deals of KK against QJs, 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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