ATs vs KTs: preflop equity

Over all 1,712,304 boards that can follow this deal, ATs finishes with 71.13% of the pot and KTs with 28.87%.

ATs

71.13%

Wins 70.19%, ties 1.87%

KTs

28.87%

Wins 27.94%, ties 1.87%

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

ATs against KTs: the numbers

Exact preflop results for ATs against KTs, in percent
HandWinsTiesLosesEquity
ATs70.1941.86727.93971.127
KTs27.9391.86770.19428.873

ATs meets KTs, and both are suited hands. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

That is a clear edge, 71.13% to 28.87%, but KTs still wins often enough that one hand proves nothing. Ties are part of the picture: 1.87% of boards end in a split pot, and each side counts that as half a win.

For context, ATs sits at number 13 of 169 starting hands and KTs at number 22 when each is run against a random hand.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
ATs14,423,000384,0005,741,000
KTs5,741,000384,00014,423,000

12 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.

ATs against KTs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
ATs2.4631.4253.5790.406
KTs0.4063.5791.4252.463

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

By flop texture, ATs' equity runs from 64.01% on monotone flops up to 83.20% on low rainbow flops (nine high or lower). ATs stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

ATs against KTs by flop texture, in percent
FlopShare of flopsATs winsTiesKTs winsATs equity
Rainbow, ten or higher23.13868.3471.34430.30969.019
Rainbow, nine or lower7.77181.6183.16715.21583.202
Two-tone46.54368.9551.55129.49469.730
Monotone5.21562.0143.98733.99964.008
Paired17.33373.3262.19224.48274.422

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

A random hand would give ATs 64.60% and KTs 61.79%. Against each other the change is +6.53 points for ATs and -32.92 for KTs.

ATs and KTs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
ATs, all flops71.12764.602+6.5251.10100
ATs, rainbow, ten or higher69.01964.602+4.4171.06837
ATs, rainbow, nine or lower83.20264.602+18.6001.28792
ATs, two-tone69.73064.602+5.1281.07938
ATs, monotone64.00864.602-0.5940.99081
ATs, paired74.42264.602+9.8201.15201
KTs, all flops28.87361.789-32.9160.46728
KTs, rainbow, ten or higher30.98161.789-30.8080.50140
KTs, rainbow, nine or lower16.79861.789-44.9910.27186
KTs, two-tone30.27061.789-31.5190.48989
KTs, monotone35.99261.789-25.7970.58250
KTs, paired25.57861.789-36.2110.41396

Does a shared suit matter?

Every legal deal of ATs against KTs leaves the hands with no suit in common, so the suit split does not apply here.

ATs against KTs by suit overlap, in percent
DealsSpecific dealsShare of dealsATs winsTiesKTs winsATs equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0070.1941.86727.93971.127

How often this matchup comes up

The class pair covers 12 combinations of specific cards in a fixed seat order, 0.0007% of 1,624,350, and 24 (0.0015%) in either order.

A worked example

With $100 from each side, the $200 pot is split on average as $142.26 for ATs and $57.74 for KTs; the first side gains $42.26 per all-in and the second gives up $42.26.

Per 1,000 deals: ATs wins about 702, KTs wins about 279, and about 19 end in a split pot.

The same matchup from the other side

Read it from the other side: KTs against ATs is the same matchup with the numbers swapped, so KTs holds 28.87% and ATs holds 71.13%. That address sends you back to this page.

Open the calculator with AsTs against KhTh 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

The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 12 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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