KJs vs A7s: preflop equity

The exact count puts A7s at 56.98% and KJs at 43.02% when the two hands see all five board cards.

KJs

43.02%

Wins 42.78%, ties 0.48%

A7s

56.98%

Wins 56.74%, ties 0.48%

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

KJs against A7s: the numbers

Exact preflop results for KJs against A7s, in percent
HandWinsTiesLosesEquity
KJs42.7760.48256.74243.017
A7s56.7420.48242.77656.983

KJs meets A7s, and both are suited hands. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

The lead is steady rather than large, and the flop still has plenty of say in who wins. The tie share is 0.48%: on those boards the pot is chopped and neither hand wins outright.

The hand ranking puts KJs at 20 and A7s at 24 out of 169 starting hands.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KJs11,719,000132,00015,546,000
A7s15,546,000132,00011,719,000

The board total is exact, 16 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

KJs against A7s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KJs0.7552.3381.7621.325
A7s1.3251.7622.3380.755

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

Across the five flop textures A7s' equity moves by 24.00 points, from 50.82% on rainbow flops topped by a ten or better to 74.82% on low rainbow flops (nine high or lower). A7s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

KJs against A7s by flop texture, in percent
FlopShare of flopsKJs winsTiesA7s winsKJs equity
Rainbow, ten or higher23.86749.1150.12150.76449.176
Rainbow, nine or lower7.04224.7960.77874.42625.185
Two-tone46.72744.0880.24355.66944.209
Monotone5.27343.8923.40252.70645.593
Paired17.09137.3990.62061.98137.709

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

Relative to a random opponent, KJs changes by -19.55 points (baseline 62.57%) and A7s by -4.00 points (baseline 60.98%).

KJs and A7s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KJs, all flops43.01762.567-19.5500.68753
KJs, rainbow, ten or higher49.17662.567-13.3910.78597
KJs, rainbow, nine or lower25.18562.567-37.3820.40253
KJs, two-tone44.20962.567-18.3580.70659
KJs, monotone45.59362.567-16.9740.72871
KJs, paired37.70962.567-24.8580.60270
A7s, all flops56.98360.984-4.0010.93439
A7s, rainbow, ten or higher50.82460.984-10.1600.83340
A7s, rainbow, nine or lower74.81560.984+13.8311.22680
A7s, two-tone55.79160.984-5.1930.91485
A7s, monotone54.40760.984-6.5770.89215
A7s, paired62.29160.984+1.3071.02143

Does a shared suit matter?

The suit split reads 58.88% for A7s with a shared suit and 56.35% without one. A7s does better with a shared suit, by 2.53 points.

KJs against A7s by suit overlap, in percent
DealsSpecific dealsShare of dealsKJs winsTiesA7s winsKJs equity
Share a suit425.0040.8460.55958.59541.125
No shared suit1275.0043.4190.45756.12443.648

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 16 are KJs in one seat and A7s in the other (0.0010%); with the seats swapped too, 32 (0.0020%).

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. A7s averages $113.96 from the $200, up $13.96; KJs averages $86.04, down $13.96.

Think in thousands: about 567 of 1,000 go to A7s, about 428 go to KJs, and about 5 are chopped.

The same matchup from the other side

A7s versus KJs is this same page seen from the other hand: 56.98% for A7s, 43.02% for KJs.

KsJs against Ah7h is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.

How this was computed

Each figure is a complete count over boards. Take the 16 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

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