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KJs vs KQo

KJs
VS
KQo
30.4%
equity for KJs — KQo takes 69.6%

Domination — a shared rank turns this into a kicker fight, and kicker fights are lopsided.

KJs Win
27.8%
Tie
5.3%
KJs Lose
66.9%
Card combinations
36
KJs vs random
62.5% · #20
KQo vs random
61.5% · #23
Breakdown

Win, tie and loss for KJs

Win 27.8%Lose 66.9%

When KJs and KQo get all in before the flop, KJs wins 30.4% of the time and KQo takes 69.6%. Broken down, KJs wins outright 27.8%, chops 5.3% and loses 66.9% — a margin of -39.2 points. Domination — a shared rank turns this into a kicker fight, and kicker fights are lopsided.

The same matchup shifts depending on how the suits overlap. With one shared suit the number is 29.6% (for example Ks Js against Kh Qs); with no shared suit it is 30.8% (Ks Js against Kh Qd). That is a spread of 1.24 points across the 36 distinct card combinations, and it comes almost entirely from whether the two hands are fighting over the same flush.

Add a third player holding a random hand and the split becomes KJs 26.0%, KQo 42.6%, random 31.4%. KJs gives up 4.5 points and KQo gives up 27, so the underdog loses more than the favourite does. Extra players always eat into the leader's share faster than into anyone else's.

Taken on their own, KJs is worth 62.5% against a random hand (rank 20 of 169) and KQo is worth 61.5% (rank 23). The gap between them in the ranking is only 1 points, yet head to head the gap is 39.2 points — a reminder that a ranking table and a direct matchup are two different questions.

Framed as a run of one hundred identical all-ins, KJs scoops roughly 28 pots, splits about 5, and loses the remaining 67. Against eight random opponents rather than this one specific hand, KJs would be down to 19.0% and KQo to 16.7%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From KQo's side, 69.6% is the break-even point for calling an all-in at 0.44:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 69.6% of the pot you are playing for. KJs holds the other 30.4% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 36 card combinations with five board cards still to come — there is no fold equity in it, so the value of shoving in practice is usually higher than the raw percentage suggests. Second, it assumes KQo really does hold exactly KQo; against the wider range a player would actually get all in with, KJs's 30.4% moves. Use the individual pages for KJs and KQo to see how each of them fares against all 168 other holdings before treating this single pairing as the whole picture.

By shared suits

Overlapping suits move the number

200,000 simulated showdowns per condition. The example column shows one concrete four-card layout.

ConditionExampleCombosKJs EquityWinTieLose
No shared suitKs Js vs Kh Qd2430.8%28.2%5.3%66.5%
One shared suitKs Js vs Kh Qs1229.6%26.9%5.4%67.7%
Three-way

Adding a random third hand

200,000 simulated showdowns, with the third hand dealt at random each time.

KJs
26.0%
vs heads-up -4.5pt
KQo
42.6%
vs heads-up -27.0pt
Random third hand
31.4%
Player count

At a bigger table

Random opponentsKJsKQo
162.5%61.5%
246.1%44.4%
430.9%29.2%
819.0%16.7%

Related

FAQ

KJs or KQo — which is ahead preflop?

KQo is the favourite. KJs takes 30.4% and KQo 69.6%, a margin of 39.2 points, with 5.3% of hands ending in a chop.

Do the suits change KJs vs KQo?

Yes. With one shared suit it is 29.6%, and with no shared suit it is 30.8% — a swing of up to 1.24 points.

What happens three-way?

With one extra random hand in the pot the split is KJs 26.0%, KQo 42.6%, random 31.4%. KJs drops 4.5 points compared with heads-up.

433 words / 28 distinct figures — Method