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AKs vs ATo

AKs
VS
ATo
74.9%
equity for AKs — ATo takes 25.1%

Domination — a shared rank turns this into a kicker fight, and kicker fights are lopsided.

AKs Win
72.7%
Tie
4.4%
AKs Lose
22.9%
Card combinations
36
AKs vs random
67.2% · #8
ATo vs random
62.6% · #19
Breakdown

Win, tie and loss for AKs

Win 72.7%Lose 22.9%

When AKs and ATo get all in before the flop, AKs wins 74.9% of the time and ATo takes 25.1%. Broken down, AKs wins outright 72.7%, chops 4.4% and loses 22.9% — a margin of 49.8 points. Domination — a shared rank turns this into a kicker fight, and kicker fights are lopsided.

The same matchup shifts depending on how the suits overlap. With one shared suit the number is 74.6% (for example As Ks against Ah Ts); with no shared suit it is 75.1% (As Ks against Ah Td). That is a spread of 0.48 points across the 36 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 AKs 51.5%, ATo 20.6%, random 27.9%. AKs gives up 23.5 points and ATo gives up 4.5, 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, AKs is worth 67.2% against a random hand (rank 8 of 169) and ATo is worth 62.6% (rank 19). The gap between them in the ranking is only 4.6 points, yet head to head the gap is 49.8 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, AKs scoops roughly 73 pots, splits about 4, and loses the remaining 23. Against eight random opponents rather than this one specific hand, AKs would be down to 22.4% and ATo to 15.2%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From ATo's side, 25.1% is the break-even point for calling an all-in at 2.98:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 25.1% of the pot you are playing for. AKs holds the other 74.9% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 36 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 ATo really does hold exactly ATo; against the wider range a player would actually get all in with, AKs's 74.9% moves. Use the individual pages for AKs and ATo 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.

ConditionExampleCombosAKs EquityWinTieLose
No shared suitAs Ks vs Ah Td2475.1%72.9%4.3%22.8%
One shared suitAs Ks vs Ah Ts1274.6%72.3%4.5%23.1%
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, AKs is ahead 84.4% of the time and ATo 15.6%, 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 AKs leads on the flop, ATo comes back on the turn and river 13.2% of the time. When ATo leads on the flop, AKs turns it around 22.7% of the time. The hand in front holds on to win 80.9% of the time from the flop and 87.4% from the turn (level spots left out).

With the turn out, AKs leads 79.6% and ATo 19.3%. Counted exhaustively, AKs finishes with 74.85% equity (the 74.9% at the top of the page is a 200,000-hand simulation).

On the flop — lead holds 80.9%, flips 14.7%
After the flopHow oftenAKs winsTieATo wins
AKs ahead84.4%81.8%5.00%13.2%
Level (same hand)0%Never happens
ATo ahead15.6%22.7%1.29%76.0%
On the turn — lead holds 87.4%, flips 9.02%
After the turnHow oftenAKs winsTieATo wins
AKs ahead79.6%87.8%4.15%8.01%
Level (same hand)1.11%13.1%81.6%5.30%
ATo ahead19.3%13.2%1.12%85.7%

"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.

AKs
51.5%
vs heads-up -23.5pt
ATo
20.6%
vs heads-up -4.5pt
Random third hand
27.9%
Player count

At a bigger table

Random opponentsAKsATo
167.2%62.6%
250.3%44.4%
435.4%27.8%
822.4%15.2%

Related

FAQ

AKs or ATo — which is ahead preflop?

AKs is the favourite. AKs takes 74.9% and ATo 25.1%, a margin of 49.8 points, with 4.4% of hands ending in a chop.

Do the suits change AKs vs ATo?

Yes. With one shared suit it is 74.6%, and with no shared suit it is 75.1% — a swing of up to 0.48 points.

What happens three-way?

With one extra random hand in the pot the split is AKs 51.5%, ATo 20.6%, random 27.9%. AKs drops 23.5 points compared with heads-up.

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

The hand ahead on the flop goes on to lose 14.7% of the time (level spots left out). When AKs leads, ATo comes back 13.2%. When ATo leads, AKs comes back 22.7%. Exact counts over every flop, turn and river.

433 words / 29 distinct figures — Method