JJ vs KJs: preflop equity

Before any board card is dealt, JJ holds 64.43% equity against KJs, which leaves KJs with 35.57%.

JJ

64.43%

Wins 63.64%, ties 1.58%

KJs

35.57%

Wins 34.78%, ties 1.58%

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

JJ against KJs: the numbers

Exact preflop results for JJ against KJs, in percent
HandWinsTiesLosesEquity
JJ63.6391.58234.77964.430
KJs34.7791.58263.63935.570

JJ and KJs are a pocket pair and a suited hand, in that order. The pair already holds one of the other hand's ranks, and that overlap cuts down the cards the other hand can pair with.

A 28.86 point lead is real, and KJs still takes about 348 of every 1,000 deals outright. Of every 100 boards, about 1.58 are split pots, and the equity figures already include them.

By strength against a random hand, JJ holds place 4 of 169 and KJs holds place 20.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JJ13,076,000325,0007,146,000
KJs7,146,000325,00013,076,000

The board total is exact, 12 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

JJ against KJs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JJ1.8111.5712.8750.552
KJs0.5522.8751.5711.811

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

JJ prefers low rainbow flops (nine high or lower), where it holds 82.36%, and likes rainbow flops topped by a ten or better least, where it holds 59.32%. JJ stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

JJ against KJs by flop texture, in percent
FlopShare of flopsJJ winsTiesKJs winsJJ equity
Rainbow, ten or higher23.01158.4001.82939.77159.315
Rainbow, nine or lower7.77181.4181.89016.69282.363
Two-tone46.23661.0701.67837.25261.909
Monotone5.15159.0832.58438.33360.375
Paired17.83170.6300.59128.77970.925

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

The table below sets each hand against its own random-hand baseline: a change of -13.04 points for JJ, from 77.47%, and -27.00 for KJs, from 62.57%.

JJ and KJs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JJ, all flops64.43077.469-13.0390.83169
JJ, rainbow, ten or higher59.31577.469-18.1540.76566
JJ, rainbow, nine or lower82.36377.469+4.8941.06317
JJ, two-tone61.90977.469-15.5600.79915
JJ, monotone60.37577.469-17.0940.77934
JJ, paired70.92577.469-6.5440.91553
KJs, all flops35.57062.567-26.9970.56851
KJs, rainbow, ten or higher40.68562.567-21.8820.65026
KJs, rainbow, nine or lower17.63762.567-44.9300.28189
KJs, two-tone38.09162.567-24.4760.60880
KJs, monotone39.62562.567-22.9420.63332
KJs, paired29.07562.567-33.4920.46470

Does a shared suit matter?

Every legal deal of JJ against KJs leaves the hands with no suit in common, so the suit split does not apply here.

JJ against KJs by suit overlap, in percent
DealsSpecific dealsShare of dealsJJ winsTiesKJs winsJJ equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0063.6391.58234.77964.430

How often this matchup comes up

Exactly 12 specific deals fit this matchup in one seat order, which is 0.0007% of 1,624,350; both orders together give 24, or 0.0015%.

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. JJ is worth $128.86 on average (+$28.86); KJs is worth $71.14 (-$28.86).

Out of 1,000 deals you should see around 636 outright wins for JJ, 348 for KJs, and 16 split pots.

The same matchup from the other side

Read it from the other side: KJs against JJ is the same matchup with the numbers swapped, so KJs holds 35.57% and JJ holds 64.43%. That address sends you back to this page.

Try JsJh against KdJd 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

Method: exact enumeration. The 12 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.

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

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