JJ vs 88: preflop equity

Counting every board, the equity split is 81.23% for JJ and 18.77% for 88, so JJ leads by 62.46 points.

JJ

81.23%

Wins 81.03%, ties 0.41%

88

18.77%

Wins 18.56%, ties 0.41%

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

JJ against 88: the numbers

Exact preflop results for JJ against 88, in percent
HandWinsTiesLosesEquity
JJ81.0260.41018.56481.231
8818.5640.41081.02618.769

JJ meets 88, 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.

JJ is a big favorite here before anyone sees a flop. Ties are 0.41% of the outcomes here; each tied board gives both hands half the pot.

By strength against a random hand, JJ holds place 4 of 169 and 88 holds place 7.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JJ49,947,000253,00011,443,000
8811,443,000253,00049,947,000

36 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.

JJ against 88 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JJ4.3281.2345.3870.231
880.2315.3871.2344.328

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 paired flops, where it holds 86.46%, and likes low rainbow flops (nine high or lower) least, where it holds 68.38%. 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 88 by flop texture, in percent
FlopShare of flopsJJ winsTies88 winsJJ equity
Rainbow, ten or higher24.59583.8450.20515.95083.948
Rainbow, nine or lower6.31467.9510.86131.18868.382
Two-tone46.36380.0220.32619.65280.185
Monotone5.15274.7201.71823.56275.579
Paired17.57686.2750.37313.35286.462

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, 77.47% for JJ and 69.16% for 88. This opponent changes them by +3.76 and -50.39 points.

JJ and 88 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JJ, all flops81.23177.469+3.7621.04856
JJ, rainbow, ten or higher83.94877.469+6.4791.08363
JJ, rainbow, nine or lower68.38277.469-9.0870.88270
JJ, two-tone80.18577.469+2.7161.03506
JJ, monotone75.57977.469-1.8900.97560
JJ, paired86.46277.469+8.9931.11609
88, all flops18.76969.163-50.3940.27137
88, rainbow, ten or higher16.05269.163-53.1110.23209
88, rainbow, nine or lower31.61869.163-37.5450.45715
88, two-tone19.81569.163-49.3480.28650
88, monotone24.42169.163-44.7420.35309
88, paired13.53869.163-55.6250.19574

Does a shared suit matter?

Does suit overlap move the numbers? JJ has 81.37% when the hands share a suit and 80.56% when they do not. JJ does better with a shared suit, by 0.81 points.

JJ against 88 by suit overlap, in percent
DealsSpecific dealsShare of dealsJJ winsTies88 winsJJ equity
Share a suit3083.3381.1530.42618.42181.366
No shared suit616.6780.3910.33019.27980.556

How often this matchup comes up

Counting specific cards, JJ against 88 appears in 36 of the 1,624,350 ordered heads-up deals (0.0022%), and in 72 when the seats are swapped too (0.0044%).

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says JJ gets $162.46 of it on average and 88 gets $37.54.

Out of 1,000 deals you should see around 810 outright wins for JJ, 186 for 88, and 4 split pots.

The same matchup from the other side

Swap the hands and you get 88 with 18.77% against JJ with 81.23%. We keep one page per matchup, with the better-ranked hand first.

The calculator link fills in JsJh against 8d8c, 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

Method: exact enumeration. The 36 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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