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KK vs AQs

KK
VS
AQs
68.0%
equity for KK — AQs takes 32.0%

Pair against one overcard — roughly 70/30 in the pair's favour.

KK Win
67.8%
Tie
0.4%
KK Lose
31.7%
Card combinations
24
KK vs random
82.5% · #2
AQs vs random
66.2% · #10
Breakdown

Win, tie and loss for KK

Win 67.8%Lose 31.7%

When KK and AQs get all in before the flop, KK wins 68.0% of the time and AQs takes 32.0%. Broken down, KK wins outright 67.8%, chops 0.4% and loses 31.7% — a margin of 36.1 points. Pair against one overcard — roughly 70/30 in the pair's favour.

The same matchup shifts depending on how the suits overlap. With no shared suit the number is 67.8% (for example Ks Kh against Ad Qd); with one shared suit it is 68.3% (Ks Kh against As Qs). That is a spread of 0.49 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 58.1%, AQs 28.3%, random 13.6%. KK gives up 9.9 points and AQs gives up 3.7, 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 AQs is worth 66.2% (rank 10). The gap between them in the ranking is only 16.3 points, yet head to head the gap is 36.1 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 68 pots, splits about one, and loses the remaining 32. Against eight random opponents rather than this one specific hand, KK would be down to 29.6% and AQs to 21.1%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From AQs's side, 32.0% is the break-even point for calling an all-in at 2.13:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 32.0% of the pot you are playing for. KK holds the other 68.0% 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 AQs really does hold exactly AQs; against the wider range a player would actually get all in with, KK's 68.0% moves. Use the individual pages for KK and AQs 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 Ad Qd1267.8%67.6%0.4%32.0%
One shared suitKs Kh vs As Qs1268.3%68.0%0.5%31.5%
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, KK is ahead 81.9% of the time and AQs 18.1%, 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 KK leads on the flop, AQs comes back on the turn and river 19.0% of the time. When AQs leads on the flop, KK turns it around 11.1% of the time. The hand in front holds on to win 82.0% of the time from the flop and 89.4% from the turn (level spots left out).

With the turn out, KK leads 75.1% and AQs 24.9%. Counted exhaustively, KK finishes with 68.15% equity (the 68.0% at the top of the page is a 200,000-hand simulation).

On the flop — lead holds 82.0%, flips 17.6%
After the flopHow oftenKK winsTieAQs wins
KK ahead81.9%80.5%0.463%19.0%
Level (same hand)0%Never happens
AQs ahead18.1%11.1%0.302%88.6%
On the turn — lead holds 89.4%, flips 10.2%
After the turnHow oftenKK winsTieAQs wins
KK ahead75.1%88.2%0.460%11.3%
Level (same hand)0%Never happens
AQs ahead24.9%6.86%0.352%92.8%

"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.

KK
58.1%
vs heads-up -9.9pt
AQs
28.3%
vs heads-up -3.7pt
Random third hand
13.6%
Player count

At a bigger table

Random opponentsKKAQs
182.5%66.2%
268.9%49.7%
449.3%34.0%
829.6%21.1%

Related

FAQ

KK or AQs — which is ahead preflop?

KK is the favourite. KK takes 68.0% and AQs 32.0%, a margin of 36.1 points, with 0.4% of hands ending in a chop.

Do the suits change KK vs AQs?

Yes. With no shared suit it is 67.8%, and with one shared suit it is 68.3% — a swing of up to 0.49 points.

What happens three-way?

With one extra random hand in the pot the split is KK 58.1%, AQs 28.3%, random 13.6%. KK drops 9.9 points compared with heads-up.

How often does the flop leader lose in KK vs AQs?

The hand ahead on the flop goes on to lose 17.6% of the time (level spots left out). When KK leads, AQs comes back 19.0%. When AQs leads, KK comes back 11.1%. Exact counts over every flop, turn and river.

428 words / 29 distinct figures — Method