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KK vs 72o

KK
VS
72o
87.9%
equity for KK — 72o takes 12.1%

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

KK Win
87.7%
Tie
0.4%
KK Lose
11.9%
Card combinations
72
KK vs random
82.5% · #2
72o vs random
34.4% · #165
Breakdown

Win, tie and loss for KK

Win 87.7%Lose 11.9%

When KK and 72o get all in before the flop, KK wins 87.9% of the time and 72o takes 12.1%. Broken down, KK wins outright 87.7%, chops 0.4% and loses 11.9% — a margin of 75.7 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 87.2% (for example Ks Kh against 7d 2c); with both suits shared it is 88.7% (Ks Kh against 7s 2h). That is a spread of 1.55 points across the 72 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 73.2%, 72o 10.3%, random 16.4%. KK gives up 14.6 points and 72o gives up 1.8, 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 72o is worth 34.4% (rank 165). The gap between them in the ranking is only 48.1 points, yet head to head the gap is 75.7 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 88 pots, splits about one, and loses the remaining 12. Against eight random opponents rather than this one specific hand, KK would be down to 29.6% and 72o to 5.5%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From 72o's side, 12.1% is the break-even point for calling an all-in at 7.26:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 12.1% of the pot you are playing for. KK holds the other 87.9% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 72 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 72o really does hold exactly 72o; against the wider range a player would actually get all in with, KK's 87.9% moves. Use the individual pages for KK and 72o 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 7d 2c1287.2%87.0%0.4%12.7%
One shared suitKs Kh vs 7s 2d4887.8%87.6%0.4%12.0%
Both suits sharedKs Kh vs 7s 2h1288.7%88.5%0.5%11.1%
Three-way

Adding a random third hand

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

KK
73.2%
vs heads-up -14.6pt
72o
10.3%
vs heads-up -1.8pt
Random third hand
16.4%
Player count

At a bigger table

Random opponentsKK72o
182.5%34.4%
268.9%20.4%
449.3%10.9%
829.6%5.5%

Related

FAQ

KK or 72o — which is ahead preflop?

KK is the favourite. KK takes 87.9% and 72o 12.1%, a margin of 75.7 points, with 0.4% of hands ending in a chop.

Do the suits change KK vs 72o?

Yes. With no shared suit it is 87.2%, and with both suits shared it is 88.7% — a swing of up to 1.55 points.

What happens three-way?

With one extra random hand in the pot the split is KK 73.2%, 72o 10.3%, random 16.4%. KK drops 14.6 points compared with heads-up.

427 words / 31 distinct figures — Method