KJs vs A5s: preflop equity

Dealt all in against each other, A5s takes 57.17% of the pot on average and KJs takes the other 42.83%.

KJs

42.83%

Wins 42.57%, ties 0.52%

A5s

57.17%

Wins 56.91%, ties 0.52%

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

KJs against A5s: the numbers

Exact preflop results for KJs against A5s, in percent
HandWinsTiesLosesEquity
KJs42.5710.52256.90742.832
A5s56.9070.52242.57157.168

KJs meets A5s, and both are suited hands. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

A 14.34 point lead is real, and KJs still takes about 426 of every 1,000 deals outright. About 0.52% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

By strength against a random hand, KJs holds place 20 of 169 and A5s holds place 30.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KJs11,663,000143,00015,591,000
A5s15,591,000143,00011,663,000

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.

KJs against A5s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KJs0.7492.3491.7571.335
A5s1.3351.7572.3490.749

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, A5s peaks at 75.35% on low rainbow flops (nine high or lower) and bottoms out at 50.95% on rainbow flops topped by a ten or better. A5s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

KJs against A5s by flop texture, in percent
FlopShare of flopsKJs winsTiesA5s winsKJs equity
Rainbow, ten or higher23.86748.9850.12450.89149.047
Rainbow, nine or lower7.04224.1620.98374.85524.653
Two-tone46.72743.8570.28755.85644.000
Monotone5.27343.6913.43752.87245.409
Paired17.09137.3390.62962.03237.654

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

Each hand has a baseline against a random hand: 62.57% for KJs, 59.92% for A5s. Here the change is -19.74 and -2.75 points.

KJs and A5s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KJs, all flops42.83262.567-19.7350.68458
KJs, rainbow, ten or higher49.04762.567-13.5200.78391
KJs, rainbow, nine or lower24.65362.567-37.9140.39403
KJs, two-tone44.00062.567-18.5670.70325
KJs, monotone45.40962.567-17.1580.72577
KJs, paired37.65462.567-24.9130.60182
A5s, all flops57.16859.923-2.7550.95402
A5s, rainbow, ten or higher50.95359.923-8.9700.85031
A5s, rainbow, nine or lower75.34759.923+15.4241.25740
A5s, two-tone56.00059.923-3.9230.93453
A5s, monotone54.59159.923-5.3320.91102
A5s, paired62.34659.923+2.4231.04044

Does a shared suit matter?

Split by suits, the deals give A5s 59.08% when the hands overlap in a suit and 56.53% when they do not. A5s does better with a shared suit, by 2.55 points.

KJs against A5s by suit overlap, in percent
DealsSpecific dealsShare of dealsKJs winsTiesA5s winsKJs equity
Share a suit425.0040.6190.60358.77840.921
No shared suit1275.0043.2220.49456.28443.469

How often this matchup comes up

KJs against A5s 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

Worked example: both players commit $100, so $200 sits in the middle. Over every board, A5s' average share is $114.34 (a gain of $14.34) and KJs' is $85.66 (a loss of $14.34).

Think in thousands: about 569 of 1,000 go to A5s, about 426 go to KJs, and about 5 are chopped.

The same matchup from the other side

One page covers both views. From A5s' side the equity is 57.17%, and from KJs' side it is 42.83%.

Try KsJs against Ah5h 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 figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 16 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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