KTo vs A2s: preflop equity

Over all 1,712,304 boards that can follow this deal, A2s finishes with 59.38% of the pot and KTo with 40.62%.

KTo

40.62%

Wins 40.37%, ties 0.50%

A2s

59.38%

Wins 59.13%, ties 0.50%

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

KTo against A2s: the numbers

Exact preflop results for KTo against A2s, in percent
HandWinsTiesLosesEquity
KTo40.3720.50359.12540.623
A2s59.1250.50340.37259.377

We compare an offsuit hand with a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

A2s is ahead, but KTo is far from dead: it takes 404 of every 1,000 deals outright. Split pots make up 0.50% of the boards, and both equity figures count them as half a win each.

Place 33 of 169 belongs to KTo and place 46 belongs to A2s in the ranking against a random hand.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KTo33,182,000413,00048,595,000
A2s48,595,000413,00033,182,000

Exact total: 48 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.

KTo against A2s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KTo0.6842.4771.6911.462
A2s1.4621.6912.4770.684

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

A2s prefers low rainbow flops (nine high or lower), where it holds 75.69%, and likes rainbow flops topped by a ten or better least, where it holds 51.95%. A2s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

KTo against A2s by flop texture, in percent
FlopShare of flopsKTo winsTiesA2s winsKTo equity
Rainbow, ten or higher23.98847.9690.16951.86248.054
Rainbow, nine or lower7.04223.7971.02575.17824.309
Two-tone46.66740.8370.33258.83141.003
Monotone5.21242.6572.41254.93143.863
Paired17.09134.5680.64564.78734.891

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

Compared with a random opponent, this matchup shifts KTo from 59.74% by -19.12 points and A2s from 57.38% by +2.00 points.

KTo and A2s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KTo, all flops40.62359.739-19.1160.68001
KTo, rainbow, ten or higher48.05459.739-11.6850.80440
KTo, rainbow, nine or lower24.30959.739-35.4300.40692
KTo, two-tone41.00359.739-18.7360.68637
KTo, monotone43.86359.739-15.8760.73424
KTo, paired34.89159.739-24.8480.58406
A2s, all flops59.37757.379+1.9981.03482
A2s, rainbow, ten or higher51.94657.379-5.4330.90531
A2s, rainbow, nine or lower75.69157.379+18.3121.31914
A2s, two-tone58.99757.379+1.6181.02820
A2s, monotone56.13757.379-1.2420.97835
A2s, paired65.10957.379+7.7301.13472

Does a shared suit matter?

Split by suits, the deals give A2s 59.03% when the hands overlap in a suit and 59.72% when they do not. A2s does better with no shared suit, by 0.69 points.

KTo against A2s by suit overlap, in percent
DealsSpecific dealsShare of dealsKTo winsTiesA2s winsKTo equity
Share a suit2450.0040.6940.54558.76140.967
No shared suit2450.0040.0490.46159.49040.280

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 48 are KTo in one seat and A2s in the other (0.0030%); with the seats swapped too, 96 (0.0059%).

A worked example

With $100 from each side, the $200 pot is split on average as $118.76 for A2s and $81.24 for KTo; the first side gains $18.76 per all-in and the second gives up $18.76.

Think in thousands: about 591 of 1,000 go to A2s, about 404 go to KTo, and about 5 are chopped.

The same matchup from the other side

Read it from the other side: A2s against KTo is the same matchup with the numbers swapped, so A2s holds 59.38% and KTo holds 40.62%. That address sends you back to this page.

Try KsTh against Ad2d 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

Nothing here is simulated. The 48 deals of KTo against A2s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.

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

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