KJs vs 87s: preflop equity

Dealt all in against each other, KJs takes 62.24% of the pot on average and 87s takes the other 37.76%.

KJs

62.24%

Wins 61.90%, ties 0.67%

87s

37.76%

Wins 37.43%, ties 0.67%

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

KJs against 87s: the numbers

Exact preflop results for KJs against 87s, in percent
HandWinsTiesLosesEquity
KJs61.9010.67437.42562.238
87s37.4250.67461.90137.762

This is a contest between two suited hands, KJs and 87s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

A 24.48 point lead is real, and 87s still takes about 374 of every 1,000 deals outright. A split pot comes up on 0.67% of boards, so the wins and the equity differ by half of that.

For context, KJs sits at number 20 of 169 starting hands and 87s at number 100 when each is run against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KJs16,959,000185,00010,253,000
87s10,253,000185,00016,959,000

The board total is exact, 16 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

KJs against 87s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KJs1.6481.6152.6720.607
87s0.6072.6721.6151.648

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

The flop changes the picture. KJs does best on rainbow flops topped by a ten or better, at 68.89%, and worst on low rainbow flops (nine high or lower), at 37.61%. KJs is the favorite overall but falls behind on low rainbow flops (nine high or lower).

KJs against 87s by flop texture, in percent
FlopShare of flopsKJs winsTies87s winsKJs equity
Rainbow, ten or higher24.59568.7370.30830.95568.891
Rainbow, nine or lower6.31437.3510.50862.14137.605
Two-tone46.72761.4620.32138.21761.622
Monotone5.27357.8483.45938.69359.578
Paired17.09163.5851.36635.04964.268

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 KJs from 62.57% by -0.33 points and 87s from 47.94% by -10.18 points.

KJs and 87s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KJs, all flops62.23862.567-0.3290.99474
KJs, rainbow, ten or higher68.89162.567+6.3241.10108
KJs, rainbow, nine or lower37.60562.567-24.9620.60104
KJs, two-tone61.62262.567-0.9450.98490
KJs, monotone59.57862.567-2.9890.95223
KJs, paired64.26862.567+1.7011.02719
87s, all flops37.76247.936-10.1740.78776
87s, rainbow, ten or higher31.10947.936-16.8270.64897
87s, rainbow, nine or lower62.39547.936+14.4591.30163
87s, two-tone38.37847.936-9.5580.80061
87s, monotone40.42247.936-7.5140.84325
87s, paired35.73247.936-12.2040.74541

Does a shared suit matter?

Looking only at deals where the hands share a suit, KJs has 64.49%; looking only at deals where they do not, 61.49%. KJs does better with a shared suit, by 3.00 points.

KJs against 87s by suit overlap, in percent
DealsSpecific dealsShare of dealsKJs winsTies87s winsKJs equity
Share a suit425.0064.1040.76135.13564.485
No shared suit1275.0061.1670.64538.18861.489

How often this matchup comes up

You will meet this exact matchup 0.0020% of the time in a random heads-up deal: 32 of 1,624,350, counting either seat order.

A worked example

Take a $200 pot built from $100 each. KJs' equity of 62.24% is worth $124.48, a $24.48 edge, and 87s' 37.76% is worth $75.52, which is $24.48 under its stake.

Scaled to 1,000 deals, that is roughly 619 wins for KJs, 374 for 87s and 7 chopped pots.

The same matchup from the other side

If you came looking for 87s against KJs, the numbers are the same with the hands swapped: 37.76% and 62.24%.

Try KsJs against 8h7h 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

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 16 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.

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

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