KK vs 87s: preflop equity

The exact count puts KK at 77.93% and 87s at 22.07% when the two hands see all five board cards.

KK

77.93%

Wins 77.75%, ties 0.36%

87s

22.07%

Wins 21.89%, ties 0.36%

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

KK against 87s: the numbers

Exact preflop results for KK against 87s, in percent
HandWinsTiesLosesEquity
KK77.7530.36221.88577.934
87s21.8850.36277.75322.066

KK is a pocket pair and 87s is 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.

That is a clear edge, 77.93% to 22.07%, but 87s still wins often enough that one hand proves nothing. A split pot comes up on 0.36% of boards, so the wins and the equity differ by half of that.

Among the 169 starting hands, KK is number 2 and 87s is number 100 by strength against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KK31,953,000149,0008,994,000
87s8,994,000149,00031,953,000

24 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.

KK against 87s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KK3.5321.2864.5690.283
87s0.2834.5691.2863.532

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

If you know the kind of flop that came, the numbers shift: KK holds 82.33% on rainbow flops topped by a ten or better and 67.64% on low rainbow flops (nine high or lower). KK stays ahead on all five textures.

KK against 87s by flop texture, in percent
FlopShare of flopsKK winsTies87s winsKK equity
Rainbow, ten or higher24.59582.2180.21417.56882.325
Rainbow, nine or lower6.31467.3370.61032.05367.642
Two-tone46.54575.8270.28023.89375.967
Monotone5.21271.6812.39125.92872.876
Paired17.33482.2120.09217.69682.258

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

Start from the random-hand figures, 82.40% for KK and 47.94% for 87s. This opponent changes them by -4.47 and -25.87 points.

KK and 87s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KK, all flops77.93482.396-4.4620.94585
KK, rainbow, ten or higher82.32582.396-0.0710.99914
KK, rainbow, nine or lower67.64282.396-14.7540.82094
KK, two-tone75.96782.396-6.4290.92197
KK, monotone72.87682.396-9.5200.88446
KK, paired82.25882.396-0.1380.99833
87s, all flops22.06647.936-25.8700.46032
87s, rainbow, ten or higher17.67547.936-30.2610.36872
87s, rainbow, nine or lower32.35847.936-15.5780.67503
87s, two-tone24.03347.936-23.9030.50136
87s, monotone27.12447.936-20.8120.56584
87s, paired17.74247.936-30.1940.37012

Does a shared suit matter?

Looking only at deals where the hands share a suit, KK has 78.50%; looking only at deals where they do not, 77.37%. KK does better with a shared suit, by 1.13 points.

KK against 87s by suit overlap, in percent
DealsSpecific dealsShare of dealsKK winsTies87s winsKK equity
Share a suit1250.0078.2960.40421.30078.498
No shared suit1250.0077.2110.32022.46977.371

How often this matchup comes up

How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are KK against 87s, and 48 (0.0030%) if either hand may sit in either seat.

A worked example

Put $100 each into a $200 pot and deal every board once: KK averages $155.86 back, ahead of its $100 by $55.86, while 87s averages $44.14, short of its $100 by $55.86.

Out of 1,000 deals you should see around 777 outright wins for KK, 219 for 87s, and 4 split pots.

The same matchup from the other side

The reversed view, 87s against KK, shows 22.07% for 87s and 77.93% for KK. It is the same count, so it redirects here.

Open the calculator with KsKh against 8d7d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.

How this was computed

Each figure is a complete count over boards. Take the 24 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

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