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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%
Flop and turn

Who leads on each street, and how often it flips

Exact counts from the 48 unseen cards: all 17,296 flops × 990 turn-and-river pairs, and all 194,580 four-card turns × 44 rivers, for every suit combination — no simulation.

When the three flop cards are out, ATo is ahead 70.4% of the time and KJo 29.6%, and the two hands are never level on the flop. "Ahead" means the better best-five-card hand from the cards showing plus the two hole cards; draws are not counted.

When ATo leads on the flop, KJo comes back on the turn and river 22.4% of the time. When KJo leads on the flop, ATo turns it around 18.1% of the time. The hand in front holds on to win 78.4% of the time from the flop and 87.2% from the turn (level spots left out).

With the turn out, ATo leads 64.4% and KJo 35.6%. Counted exhaustively, ATo finishes with 59.81% equity (the 59.8% at the top of the page is a 200,000-hand simulation).

On the flop — lead holds 78.4%, flips 21.1%
After the flopHow oftenATo winsTieKJo wins
ATo ahead70.4%77.0%0.552%22.4%
Level (same hand)0%Never happens
KJo ahead29.6%18.1%0.189%81.7%
On the turn — lead holds 87.2%, flips 12.3%
After the turnHow oftenATo winsTieKJo wins
ATo ahead64.4%86.4%0.588%13.0%
Level (same hand)0%Never happens
KJo ahead35.6%11.1%0.185%88.7%

"Ahead" compares the best five-card hands available at that point (draws are not counted). "Flips" is the share of leads that end in a loss, with level spots left out.

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.

How often does the flop leader lose in ATo vs KJo?

The hand ahead on the flop goes on to lose 21.1% of the time (level spots left out). When ATo leads, KJo comes back 22.4%. When KJo leads, ATo comes back 18.1%. Exact counts over every flop, turn and river.

431 words / 27 distinct figures — Method