99 vs 88: preflop equity

Averaged over every possible board, 99 is ahead of 88 by 63.88 points of equity, 81.94% to 18.06%.

99

81.94%

Wins 81.60%, ties 0.67%

88

18.06%

Wins 17.73%, ties 0.67%

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

99 against 88: the numbers

Exact preflop results for 99 against 88, in percent
HandWinsTiesLosesEquity
9981.6010.67017.72981.936
8817.7290.67081.60118.064

99 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.

99 is a big favorite here before anyone sees a flop. The tie share is 0.67%: on those boards the pot is chopped and neither hand wins outright.

99 ranks number 6 of 169 starting hands, and 88 ranks number 7, by equity against a random hand.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
9950,301,000413,00010,929,000
8810,929,000413,00050,301,000

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.

99 against 88 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
994.5361.2255.6400.220
880.2205.6401.2254.536

The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.

Who is ahead on which flops

By flop texture, 99's equity runs from 73.79% on low rainbow flops (nine high or lower) up to 86.28% on paired flops. 99 stays ahead on all five textures.

99 against 88 by flop texture, in percent
FlopShare of flops99 winsTies88 wins99 equity
Rainbow, ten or higher25.84483.0580.38316.55983.249
Rainbow, nine or lower5.06573.4010.78625.81373.794
Two-tone46.36380.8610.43618.70381.079
Monotone5.15275.3231.82722.85076.236
Paired17.57685.6161.33413.05086.283

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, 72.06% for 99 and 69.16% for 88. This opponent changes them by +9.88 and -51.10 points.

99 and 88 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
99, all flops81.93672.057+9.8791.13710
99, rainbow, ten or higher83.24972.057+11.1921.15532
99, rainbow, nine or lower73.79472.057+1.7371.02411
99, two-tone81.07972.057+9.0221.12521
99, monotone76.23672.057+4.1791.05800
99, paired86.28372.057+14.2261.19743
88, all flops18.06469.163-51.0990.26118
88, rainbow, ten or higher16.75169.163-52.4120.24220
88, rainbow, nine or lower26.20669.163-42.9570.37890
88, two-tone18.92169.163-50.2420.27357
88, monotone23.76469.163-45.3990.34359
88, paired13.71769.163-55.4460.19833

Does a shared suit matter?

Looking only at deals where the hands share a suit, 99 has 82.07%; looking only at deals where they do not, 81.24%. 99 does better with a shared suit, by 0.83 points.

99 against 88 by suit overlap, in percent
DealsSpecific dealsShare of deals99 winsTies88 wins99 equity
Share a suit3083.3381.7320.68517.58382.074
No shared suit616.6780.9490.59118.46081.244

How often this matchup comes up

The class pair covers 36 combinations of specific cards in a fixed seat order, 0.0022% of 1,624,350, and 72 (0.0044%) in either order.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, 99's average share is $163.88 (a gain of $63.88) and 88's is $36.12 (a loss of $63.88).

Per 1,000 deals: 99 wins about 816, 88 wins about 177, and about 7 end in a split pot.

The same matchup from the other side

The mirror image, 88 against 99, is 18.06% to 81.94%, and its address redirects to this page.

The calculator link fills in 9s9h 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

This is an exact count with no sampling. For the 36 ways to deal one 99 and one 88 without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.

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

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