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ATo vs KJo

ATo
VS
KJo
59.8%
equity for ATo — KJo takes 40.2%

Two unpaired hands with no shared rank — the higher cards usually run 60–65%.

ATo Win
59.6%
Tie
0.5%
ATo Lose
40.0%
Card combinations
144
ATo vs random
62.6% · #19
KJo vs random
60.5% · #26
Breakdown

Win, tie and loss for ATo

Win 59.6%Lose 40.0%

When ATo and KJo get all in before the flop, ATo wins 59.8% of the time and KJo takes 40.2%. Broken down, ATo wins outright 59.6%, chops 0.5% and loses 40.0% — a margin of 19.6 points. Two unpaired hands with no shared rank — the higher cards usually run 60–65%.

The same matchup shifts depending on how the suits overlap. With no shared suit the number is 59.6% (for example As Th against Kd Jc); with one shared suit it is 59.8% (As Th against Ks Jd). That is a spread of 0.24 points across the 144 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 ATo 41.4%, KJo 34.4%, random 24.2%. ATo gives up 18.4 points and KJo gives up 5.8, 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, ATo is worth 62.6% against a random hand (rank 19 of 169) and KJo is worth 60.5% (rank 26). The gap between them in the ranking is only 2.1 points, yet head to head the gap is 19.6 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, ATo scoops roughly 60 pots, splits about one, and loses the remaining 40. Against eight random opponents rather than this one specific hand, ATo would be down to 15.2% and KJo to 15.8%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From KJo's side, 40.2% is the break-even point for calling an all-in at 1.49:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 40.2% of the pot you are playing for. ATo holds the other 59.8% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 144 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 KJo really does hold exactly KJo; against the wider range a player would actually get all in with, ATo's 59.8% moves. Use the individual pages for ATo and KJo 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.

ConditionExampleCombosATo EquityWinTieLose
No shared suitAs Th vs Kd Jc2459.6%59.4%0.4%40.2%
One shared suitAs Th vs Ks Jd9659.8%59.6%0.5%39.9%
Both suits sharedAs Th vs Ks Jh2459.8%59.6%0.5%39.9%
Three-way

Adding a random third hand

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

ATo
41.4%
vs heads-up -18.4pt
KJo
34.4%
vs heads-up -5.8pt
Random third hand
24.2%
Player count

At a bigger table

Random opponentsAToKJo
162.6%60.5%
244.4%43.2%
427.8%27.9%
815.2%15.8%

Related

FAQ

ATo or KJo — which is ahead preflop?

ATo is the favourite. ATo takes 59.8% and KJo 40.2%, a margin of 19.6 points, with 0.5% of hands ending in a chop.

Do the suits change ATo vs KJo?

Yes. With no shared suit it is 59.6%, and with one shared suit it is 59.8% — a swing of up to 0.24 points.

What happens three-way?

With one extra random hand in the pot the split is ATo 41.4%, KJo 34.4%, random 24.2%. ATo drops 18.4 points compared with heads-up.

431 words / 27 distinct figures — Method