A7s vs KTo: preflop equity

If A7s and KTo get all the chips in before the flop, A7s owns 59.71% of the pot in the long run and KTo owns 40.29%.

A7s

59.71%

Wins 59.50%, ties 0.43%

KTo

40.29%

Wins 40.07%, ties 0.43%

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

A7s against KTo: the numbers

Exact preflop results for A7s against KTo, in percent
HandWinsTiesLosesEquity
A7s59.4990.42940.07259.713
KTo40.0720.42959.49940.287

We compare a suited hand with an offsuit hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

A 19.42 point lead is real, and KTo still takes about 401 of every 1,000 deals outright. The tie share is 0.43%: on those boards the pot is chopped and neither hand wins outright.

In the ranking of all 169 starting hands, A7s is number 24 and KTo is number 33.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A7s48,903,000353,00032,935,000
KTo32,935,000353,00048,903,000

48 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.

A7s against KTo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A7s1.4821.6812.4960.675
KTo0.6752.4961.6811.482

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

A7s prefers low rainbow flops (nine high or lower), where it holds 76.48%, and likes rainbow flops topped by a ten or better least, where it holds 52.29%. A7s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

A7s against KTo by flop texture, in percent
FlopShare of flopsA7s winsTiesKTo winsA7s equity
Rainbow, ten or higher23.98852.2070.15647.63752.285
Rainbow, nine or lower7.04276.1570.64823.19576.481
Two-tone46.66759.2420.25040.50859.367
Monotone5.21255.1792.35942.46256.358
Paired17.09164.8850.62434.49165.197

Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.

Compared with a random hand

Start from the random-hand figures, 60.98% for A7s and 59.74% for KTo. This opponent changes them by -1.27 and -19.45 points.

A7s and KTo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A7s, all flops59.71360.984-1.2710.97916
A7s, rainbow, ten or higher52.28560.984-8.6990.85736
A7s, rainbow, nine or lower76.48160.984+15.4971.25412
A7s, two-tone59.36760.984-1.6170.97348
A7s, monotone56.35860.984-4.6260.92414
A7s, paired65.19760.984+4.2131.06908
KTo, all flops40.28759.739-19.4520.67438
KTo, rainbow, ten or higher47.71559.739-12.0240.79872
KTo, rainbow, nine or lower23.51959.739-36.2200.39370
KTo, two-tone40.63359.739-19.1060.68018
KTo, monotone43.64259.739-16.0970.73054
KTo, paired34.80359.739-24.9360.58258

Does a shared suit matter?

When the hands share a suit, A7s holds 59.38%; when they do not, it holds 60.05%. A7s does better with no shared suit, by 0.67 points.

A7s against KTo by suit overlap, in percent
DealsSpecific dealsShare of dealsA7s winsTiesKTo winsA7s equity
Share a suit2450.0059.1410.47040.38959.376
No shared suit2450.0059.8560.38939.75560.050

How often this matchup comes up

Counting specific cards, A7s against KTo appears in 48 of the 1,624,350 ordered heads-up deals (0.0030%), and in 96 when the seats are swapped too (0.0059%).

A worked example

With $100 from each side, the $200 pot is split on average as $119.42 for A7s and $80.58 for KTo; the first side gains $19.42 per all-in and the second gives up $19.42.

Run 1,000 deals and the tally comes out near 595 for A7s, 401 for KTo and 4 ties.

The same matchup from the other side

If you came looking for KTo against A7s, the numbers are the same with the hands swapped: 40.29% and 59.71%.

Try As7s against KhTd 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

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 48 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.

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

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