KJs vs A8s: preflop equity

Before any board card is dealt, A8s holds 56.90% equity against KJs, which leaves KJs with 43.10%.

KJs

43.10%

Wins 42.85%, ties 0.49%

A8s

56.90%

Wins 56.66%, ties 0.49%

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

KJs against A8s: the numbers

Exact preflop results for KJs against A8s, in percent
HandWinsTiesLosesEquity
KJs42.8530.49256.65543.099
A8s56.6550.49242.85356.901

This is a contest between two suited hands, KJs and A8s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are 0.49% of the outcomes here; each tied board gives both hands half the pot.

For context, KJs sits at number 20 of 169 starting hands and A8s at number 21 when each is run against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KJs11,740,000135,00015,522,000
A8s15,522,000135,00011,740,000

The total is exact: 16 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

KJs against A8s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KJs0.7572.3341.7651.320
A8s1.3201.7652.3340.757

The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.

Who is ahead on which flops

The flop changes the picture. A8s does best on low rainbow flops (nine high or lower), at 74.60%, and worst on rainbow flops topped by a ten or better, at 50.75%. A8s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

KJs against A8s by flop texture, in percent
FlopShare of flopsKJs winsTiesA8s winsKJs equity
Rainbow, ten or higher23.86749.1930.12150.68649.254
Rainbow, nine or lower7.04224.9780.84774.17525.402
Two-tone46.72744.1780.25455.56844.305
Monotone5.27343.9593.40652.63545.662
Paired17.09137.3990.61661.98537.707

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 -19.47 points for KJs, from 62.57%, and -5.04 for A8s, from 61.94%.

KJs and A8s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KJs, all flops43.09962.567-19.4680.68885
KJs, rainbow, ten or higher49.25462.567-13.3130.78722
KJs, rainbow, nine or lower25.40262.567-37.1650.40600
KJs, two-tone44.30562.567-18.2620.70812
KJs, monotone45.66262.567-16.9050.72981
KJs, paired37.70762.567-24.8600.60267
A8s, all flops56.90161.944-5.0430.91859
A8s, rainbow, ten or higher50.74661.944-11.1980.81922
A8s, rainbow, nine or lower74.59861.944+12.6541.20428
A8s, two-tone55.69561.944-6.2490.89912
A8s, monotone54.33861.944-7.6060.87721
A8s, paired62.29361.944+0.3491.00563

Does a shared suit matter?

Split by suits, the deals give A8s 58.79% when the hands overlap in a suit and 56.27% when they do not. A8s does better with a shared suit, by 2.52 points.

KJs against A8s by suit overlap, in percent
DealsSpecific dealsShare of dealsKJs winsTiesA8s winsKJs equity
Share a suit425.0040.9310.56958.50041.215
No shared suit1275.0043.4930.46656.04143.726

How often this matchup comes up

You will meet this exact matchup 0.0020% of the time in a random heads-up deal: 32 of 1,624,350, counting either seat order.

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says A8s gets $113.80 of it on average and KJs gets $86.20.

Scaled to 1,000 deals, that is roughly 567 wins for A8s, 428 for KJs and 5 chopped pots.

The same matchup from the other side

A8s against KJs adds nothing new: it is 56.90% for A8s and 43.10% for KJs, the same figures reversed.

Open the calculator with KsJs against Ah8h already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.

How this was computed

This is an exact count with no sampling. For the 16 ways to deal one KJs and one A8s 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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