88 vs KTo: preflop equity

Averaged over every possible board, 88 is ahead of KTo by 8.12 points of equity, 54.06% to 45.94%.

88

54.06%

Wins 53.86%, ties 0.40%

KTo

45.94%

Wins 45.74%, ties 0.40%

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

88 against KTo: the numbers

Exact preflop results for 88 against KTo, in percent
HandWinsTiesLosesEquity
8853.8570.40145.74254.057
KTo45.7420.40153.85745.943

88 and KTo are a pocket pair and an offsuit hand, in that order. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.

88 leads by less than 9 points of equity, so the result of any one deal is close to a toss-up. A split pot comes up on 0.40% of boards, so the wins and the equity differ by half of that.

Among the 169 starting hands, 88 is number 7 and KTo is number 33 by strength against a random hand.

Boards behind the percentages: 123,285,888 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
8866,398,000494,00056,393,000
KTo56,393,000494,00066,398,000

The board total is exact, 72 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

88 against KTo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
881.1771.8572.1860.850
KTo0.8502.1861.8571.177

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

The flop changes the picture. 88 does best on low rainbow flops (nine high or lower), at 80.30%, and worst on rainbow flops topped by a ten or better, at 46.30%. 88 is the favorite overall but falls behind on rainbow flops topped by a ten or better.

88 against KTo by flop texture, in percent
FlopShare of flops88 winsTiesKTo wins88 equity
Rainbow, ten or higher24.71746.1920.21953.58946.301
Rainbow, nine or lower6.31479.9310.74219.32780.302
Two-tone46.48552.7720.31246.91652.928
Monotone5.15149.8251.70448.47150.677
Paired17.33359.3970.38840.21559.591

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

Against one random hand instead, 88 holds 69.16% and KTo holds 59.74%. Facing each other changes that by -15.10 points for 88 and -13.80 points for KTo.

88 and KTo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
88, all flops54.05769.163-15.1060.78159
88, rainbow, ten or higher46.30169.163-22.8620.66945
88, rainbow, nine or lower80.30269.163+11.1391.16105
88, two-tone52.92869.163-16.2350.76526
88, monotone50.67769.163-18.4860.73272
88, paired59.59169.163-9.5720.86160
KTo, all flops45.94359.739-13.7960.76906
KTo, rainbow, ten or higher53.69959.739-6.0400.89889
KTo, rainbow, nine or lower19.69859.739-40.0410.32973
KTo, two-tone47.07259.739-12.6670.78796
KTo, monotone49.32359.739-10.4160.82564
KTo, paired40.40959.739-19.3300.67643

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common 88 has 53.97% equity, and with none in common it has 54.49%. 88 does better with no shared suit, by 0.52 points.

88 against KTo by suit overlap, in percent
DealsSpecific dealsShare of deals88 winsTiesKTo wins88 equity
Share a suit6083.3353.7630.41745.82053.972
No shared suit1216.6754.3250.32245.35354.486

How often this matchup comes up

Exactly 72 specific deals fit this matchup in one seat order, which is 0.0044% of 1,624,350; both orders together give 144, or 0.0089%.

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says 88 gets $108.12 of it on average and KTo gets $91.88.

Per 1,000 deals: 88 wins about 539, KTo wins about 457, and about 4 end in a split pot.

The same matchup from the other side

If you came looking for KTo against 88, the numbers are the same with the hands swapped: 45.94% and 54.06%.

The calculator link fills in 8s8h against KdTc, 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

Each figure is a complete count over boards. Take the 72 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

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