KK vs JJ: preflop equity

Dealt all in against each other, KK takes 81.54% of the pot on average and JJ takes the other 18.46%.

KK

81.54%

Wins 81.32%, ties 0.44%

JJ

18.46%

Wins 18.24%, ties 0.44%

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

KK against JJ: the numbers

Exact preflop results for KK against JJ, in percent
HandWinsTiesLosesEquity
KK81.3170.43718.24681.536
JJ18.2460.43781.31718.464

KK meets JJ, and both are pocket pairs. A pair against a smaller pair is the classic crush: the smaller pair needs one of its two remaining cards to make a set.

That is a heavy lead: JJ needs the board to help it on most runouts and still falls behind far more often than not. 0.44% of boards are ties, so the equity of each hand is its win rate plus half of that.

KK ranks number 2 of 169 starting hands, and JJ ranks number 4, by equity against a random hand.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KK50,126,000269,00011,247,000
JJ11,247,000269,00050,126,000

The total is exact: 36 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.

KK against JJ read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KK4.4161.2305.4810.226
JJ0.2265.4811.2304.416

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

By flop texture, KK's equity runs from 75.85% on monotone flops up to 90.12% on low rainbow flops (nine high or lower). KK stays ahead on all five textures.

KK against JJ by flop texture, in percent
FlopShare of flopsKK winsTiesJJ winsKK equity
Rainbow, ten or higher23.13878.0470.15021.80378.122
Rainbow, nine or lower7.77189.4771.2849.23990.119
Two-tone46.36380.3330.41719.25080.542
Monotone5.15274.9591.77323.26875.845
Paired17.57686.4750.10013.42586.525

A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.

Compared with a random hand

Relative to a random opponent, KK changes by -0.86 points (baseline 82.40%) and JJ by -59.01 points (baseline 77.47%).

KK and JJ here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KK, all flops81.53682.396-0.8600.98956
KK, rainbow, ten or higher78.12282.396-4.2740.94813
KK, rainbow, nine or lower90.11982.396+7.7231.09373
KK, two-tone80.54282.396-1.8540.97750
KK, monotone75.84582.396-6.5510.92049
KK, paired86.52582.396+4.1291.05011
JJ, all flops18.46477.469-59.0050.23834
JJ, rainbow, ten or higher21.87877.469-55.5910.28241
JJ, rainbow, nine or lower9.88177.469-67.5880.12755
JJ, two-tone19.45877.469-58.0110.25117
JJ, monotone24.15577.469-53.3140.31180
JJ, paired13.47577.469-63.9940.17394

Does a shared suit matter?

The suit split reads 81.67% for KK with a shared suit and 80.85% without one. KK does better with a shared suit, by 0.82 points.

KK against JJ by suit overlap, in percent
DealsSpecific dealsShare of dealsKK winsTiesJJ winsKK equity
Share a suit3083.3381.4460.45318.10181.672
No shared suit616.6780.6760.35618.96880.854

How often this matchup comes up

This page stands for 36 specific-card matchups (0.0022% of 1,624,350 ordered deals), or 72 once you count the seats both ways (0.0044%).

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, KK's average share is $163.08 (a gain of $63.08) and JJ's is $36.92 (a loss of $63.08).

Think in thousands: about 813 of 1,000 go to KK, about 183 go to JJ, and about 4 are chopped.

The same matchup from the other side

The reversed view, JJ against KK, shows 18.46% for JJ and 81.54% for KK. It is the same count, so it redirects here.

Try KsKh 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

We counted every case. Each suit pattern of the 36 specific KK against JJ 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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