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KK vs 54s

KK
VS
54s
77.4%
equity for KK — 54s takes 22.6%

Overpair against two undercards — about 80/20 for the pair.

KK Win
77.2%
Tie
0.5%
KK Lose
22.3%
Card combinations
24
KK vs random
82.5% · #2
54s vs random
41.4% · #138
Breakdown

Win, tie and loss for KK

Win 77.2%Lose 22.3%

When KK and 54s get all in before the flop, KK wins 77.4% of the time and 54s takes 22.6%. Broken down, KK wins outright 77.2%, chops 0.5% and loses 22.3% — a margin of 54.9 points. Overpair against two undercards — about 80/20 for the pair.

The same matchup shifts depending on how the suits overlap. With no shared suit the number is 76.9% (for example Ks Kh against 5d 4d); with one shared suit it is 78.0% (Ks Kh against 5s 4s). That is a spread of 1.02 points across the 24 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 KK 64.9%, 54s 20.2%, random 14.9%. KK gives up 12.6 points and 54s gives up 2.3, so the favourite loses more than the underdog does. Extra players always eat into the leader's share faster than into anyone else's.

Taken on their own, KK is worth 82.5% against a random hand (rank 2 of 169) and 54s is worth 41.4% (rank 138). The gap between them in the ranking is only 41.1 points, yet head to head the gap is 54.9 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, KK scoops roughly 77 pots, splits about one, and loses the remaining 22. Against eight random opponents rather than this one specific hand, KK would be down to 29.6% and 54s to 12.6%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From 54s's side, 22.6% is the break-even point for calling an all-in at 3.42:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 22.6% of the pot you are playing for. KK holds the other 77.4% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 24 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 54s really does hold exactly 54s; against the wider range a player would actually get all in with, KK's 77.4% moves. Use the individual pages for KK and 54s 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.

ConditionExampleCombosKK EquityWinTieLose
No shared suitKs Kh vs 5d 4d1276.9%76.7%0.4%22.9%
One shared suitKs Kh vs 5s 4s1278.0%77.7%0.5%21.8%
Three-way

Adding a random third hand

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

KK
64.9%
vs heads-up -12.6pt
54s
20.2%
vs heads-up -2.3pt
Random third hand
14.9%
Player count

At a bigger table

Random opponentsKK54s
182.5%41.4%
268.9%28.9%
449.3%19.0%
829.6%12.6%

Related

FAQ

KK or 54s — which is ahead preflop?

KK is the favourite. KK takes 77.4% and 54s 22.6%, a margin of 54.9 points, with 0.5% of hands ending in a chop.

Do the suits change KK vs 54s?

Yes. With no shared suit it is 76.9%, and with one shared suit it is 78.0% — a swing of up to 1.02 points.

What happens three-way?

With one extra random hand in the pot the split is KK 64.9%, 54s 20.2%, random 14.9%. KK drops 12.6 points compared with heads-up.

427 words / 32 distinct figures — Method