A8s vs KTs: preflop equity

The exact count puts A8s at 56.87% and KTs at 43.13% when the two hands see all five board cards.

A8s

56.87%

Wins 56.62%, ties 0.49%

KTs

43.13%

Wins 42.89%, ties 0.49%

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

A8s against KTs: the numbers

Exact preflop results for A8s against KTs, in percent
HandWinsTiesLosesEquity
A8s56.6230.48542.89256.865
KTs42.8920.48556.62343.135

Each side holds one of the suited hands: A8s and KTs. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

The lead is steady rather than large, and the flop still has plenty of say in who wins. 0.49% of boards are ties, so the equity of each hand is its win rate plus half of that.

For context, A8s sits at number 21 of 169 starting hands and KTs at number 22 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
A8s15,513,000133,00011,751,000
KTs11,751,000133,00015,513,000

16 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.

A8s against KTs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A8s1.3181.7662.3310.759
KTs0.7592.3311.7661.318

In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.

Who is ahead on which flops

Split by what the flop looks like, A8s peaks at 73.82% on low rainbow flops (nine high or lower) and bottoms out at 50.91% on rainbow flops topped by a ten or better. A8s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

A8s against KTs by flop texture, in percent
FlopShare of flopsA8s winsTiesKTs winsA8s equity
Rainbow, ten or higher23.86750.8300.15149.01950.905
Rainbow, nine or lower7.04273.4770.69325.83073.823
Two-tone46.72755.5260.24544.22955.649
Monotone5.27352.6043.40143.99554.305
Paired17.09162.0060.62037.37462.316

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

Compared with a random hand

Against one random hand instead, A8s holds 61.94% and KTs holds 61.79%. Facing each other changes that by -5.07 points for A8s and -18.66 points for KTs.

A8s and KTs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A8s, all flops56.86561.944-5.0790.91801
A8s, rainbow, ten or higher50.90561.944-11.0390.82179
A8s, rainbow, nine or lower73.82361.944+11.8791.19177
A8s, two-tone55.64961.944-6.2950.89838
A8s, monotone54.30561.944-7.6390.87668
A8s, paired62.31661.944+0.3721.00601
KTs, all flops43.13561.789-18.6540.69810
KTs, rainbow, ten or higher49.09561.789-12.6940.79456
KTs, rainbow, nine or lower26.17761.789-35.6120.42365
KTs, two-tone44.35161.789-17.4380.71778
KTs, monotone45.69561.789-16.0940.73953
KTs, paired37.68461.789-24.1050.60988

Does a shared suit matter?

Two kinds of deal exist here. In 4 of them the hands share a suit and A8s holds 58.74%. In 12 they do not, and it holds 56.24%. A8s does better with a shared suit, by 2.50 points.

A8s against KTs by suit overlap, in percent
DealsSpecific dealsShare of dealsA8s winsTiesKTs winsA8s equity
Share a suit425.0058.4640.56140.97558.744
No shared suit1275.0056.0090.45943.53256.239

How often this matchup comes up

A8s against KTs is made up of 16 specific-card matchups in one seat order, 0.0010% of the 1,624,350 ordered deals, and 32 counting both seat orders, 0.0020%.

A worked example

With $100 from each side, the $200 pot is split on average as $113.74 for A8s and $86.26 for KTs; the first side gains $13.74 per all-in and the second gives up $13.74.

A thousand deals look like this: A8s takes 566, KTs takes 429, 5 are ties.

The same matchup from the other side

Swap the hands and you get KTs with 43.13% against A8s with 56.87%. We keep one page per matchup, with the better-ranked hand first.

Try As8s against KhTh 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

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