88 vs K9s: preflop equity

Before any board card is dealt, 88 holds 53.03% equity against K9s, which leaves K9s with 46.97%.

88

53.03%

Wins 52.82%, ties 0.44%

K9s

46.97%

Wins 46.74%, ties 0.44%

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

88 against K9s: the numbers

Exact preflop results for 88 against K9s, in percent
HandWinsTiesLosesEquity
8852.8160.43546.74953.034
K9s46.7490.43552.81646.966

The first hand is a pocket pair; the second is a suited hand. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.

This is close to even money, with 88 a little ahead. About 0.44% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

The hand ranking puts 88 at 7 and K9s at 29 out of 169 starting hands.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
8821,705,000179,00019,212,000
K9s19,212,000179,00021,705,000

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.

88 against K9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
881.1291.8932.1390.886
K9s0.8862.1391.8931.129

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

If you know the kind of flop that came, the numbers shift: 88 holds 61.93% on low rainbow flops (nine high or lower) and 51.08% on two-tone flops. 88 stays ahead on all five textures.

88 against K9s by flop texture, in percent
FlopShare of flops88 winsTiesK9s wins88 equity
Rainbow, ten or higher25.22051.3530.22748.42051.467
Rainbow, nine or lower5.68961.5590.74137.70061.929
Two-tone46.54550.9330.29848.76951.082
Monotone5.21250.7182.39846.88451.917
Paired17.33457.7640.41641.82057.972

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

Each hand has a baseline against a random hand: 69.16% for 88, 59.99% for K9s. Here the change is -16.13 and -13.02 points.

88 and K9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
88, all flops53.03469.163-16.1290.76680
88, rainbow, ten or higher51.46769.163-17.6960.74414
88, rainbow, nine or lower61.92969.163-7.2340.89541
88, two-tone51.08269.163-18.0810.73857
88, monotone51.91769.163-17.2460.75065
88, paired57.97269.163-11.1910.83819
K9s, all flops46.96659.988-13.0220.78292
K9s, rainbow, ten or higher48.53359.988-11.4550.80905
K9s, rainbow, nine or lower38.07159.988-21.9170.63464
K9s, two-tone48.91859.988-11.0700.81546
K9s, monotone48.08359.988-11.9050.80154
K9s, paired42.02859.988-17.9600.70061

Does a shared suit matter?

Two kinds of deal exist here. In 12 of them the hands share a suit and 88 holds 53.20%. In 12 they do not, and it holds 52.87%. 88 does better with a shared suit, by 0.33 points.

88 against K9s by suit overlap, in percent
DealsSpecific dealsShare of deals88 winsTiesK9s wins88 equity
Share a suit1250.0052.9610.47746.56253.200
No shared suit1250.0052.6710.39446.93552.868

How often this matchup comes up

This page stands for 24 specific-card matchups (0.0015% of 1,624,350 ordered deals), or 48 once you count the seats both ways (0.0030%).

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average 88 takes back $106.06 of it, which is $6.06 more than it put in, and K9s takes back $93.94, $6.06 less than it put in.

Think in thousands: about 528 of 1,000 go to 88, about 468 go to K9s, and about 4 are chopped.

The same matchup from the other side

Read it from the other side: K9s against 88 is the same matchup with the numbers swapped, so K9s holds 46.97% and 88 holds 53.03%. That address sends you back to this page.

Try 8s8h against Kd9d 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 figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 24 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.

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

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