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AJo vs KQo

AJo
VS
KQo
59.7%
equity for AJo — KQo takes 40.3%

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

AJo Win
59.5%
Tie
0.5%
AJo Lose
40.0%
Card combinations
144
AJo vs random
63.6% · #15
KQo vs random
61.5% · #23
Breakdown

Win, tie and loss for AJo

Win 59.5%Lose 40.0%

When AJo and KQo get all in before the flop, AJo wins 59.7% of the time and KQo takes 40.3%. Broken down, AJo wins outright 59.5%, chops 0.5% and loses 40.0% — a margin of 19.5 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 Jh against Kd Qc); with one shared suit it is 59.8% (As Jh against Ks Qd). That is a spread of 0.15 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 AJo 42.0%, KQo 34.7%, random 23.3%. AJo gives up 17.7 points and KQo gives up 5.5, 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, AJo is worth 63.6% against a random hand (rank 15 of 169) and KQo is worth 61.5% (rank 23). The gap between them in the ranking is only 2.1 points, yet head to head the gap is 19.5 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, AJo scoops roughly 60 pots, splits about one, and loses the remaining 40. Against eight random opponents rather than this one specific hand, AJo would be down to 16.1% 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, 40.3% is the break-even point for calling an all-in at 1.48:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 40.3% of the pot you are playing for. AJo holds the other 59.7% 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 KQo really does hold exactly KQo; against the wider range a player would actually get all in with, AJo's 59.7% moves. Use the individual pages for AJo 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.

ConditionExampleCombosAJo EquityWinTieLose
No shared suitAs Jh vs Kd Qc2459.6%59.4%0.4%40.2%
One shared suitAs Jh vs Ks Qd9659.8%59.5%0.5%40.0%
Both suits sharedAs Jh vs Ks Qh2459.7%59.5%0.6%40.0%
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, AJo is ahead 70.4% of the time and KQo 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 AJo leads on the flop, KQo comes back on the turn and river 22.1% of the time. When KQo leads on the flop, AJo turns it around 17.5% of the time. The hand in front holds on to win 78.8% of the time from the flop and 87.5% from the turn (level spots left out).

With the turn out, AJo leads 64.4% and KQo 35.6%. Counted exhaustively, AJo finishes with 59.76% equity (the 59.7% at the top of the page is a 200,000-hand simulation).

On the flop — lead holds 78.8%, flips 20.8%
After the flopHow oftenAJo winsTieKQo wins
AJo ahead70.4%77.2%0.614%22.1%
Level (same hand)0%Never happens
KQo ahead29.6%17.5%0.122%82.4%
On the turn — lead holds 87.5%, flips 12.0%
After the turnHow oftenAJo winsTieKQo wins
AJo ahead64.4%86.6%0.665%12.7%
Level (same hand)0%Never happens
KQo ahead35.6%10.6%0.111%89.3%

"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.

AJo
42.0%
vs heads-up -17.7pt
KQo
34.7%
vs heads-up -5.5pt
Random third hand
23.3%
Player count

At a bigger table

Random opponentsAJoKQo
163.6%61.5%
245.4%44.4%
428.7%29.2%
816.1%16.7%

Related

FAQ

AJo or KQo — which is ahead preflop?

AJo is the favourite. AJo takes 59.7% and KQo 40.3%, a margin of 19.5 points, with 0.5% of hands ending in a chop.

Do the suits change AJo vs KQo?

Yes. With no shared suit it is 59.6%, and with one shared suit it is 59.8% — a swing of up to 0.15 points.

What happens three-way?

With one extra random hand in the pot the split is AJo 42.0%, KQo 34.7%, random 23.3%. AJo drops 17.7 points compared with heads-up.

How often does the flop leader lose in AJo vs KQo?

The hand ahead on the flop goes on to lose 20.8% of the time (level spots left out). When AJo leads, KQo comes back 22.1%. When KQo leads, AJo comes back 17.5%. Exact counts over every flop, turn and river.

431 words / 29 distinct figures — Method