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How often do pocket aces win against two opponents?

Against two random hands, pocket aces have 73.4% equity — still a big favourite, but down from 85% heads-up. A fair share three-handed would be 33.3%.

Probability
73.43%
about 1 time in 1.4
fair share of the pot
33.33%
Simulated. 200,000 random deals per hand, seed 20260901; standard error about ±0.10%.

Every extra opponent is another chance for someone to outdraw you. Heads-up, aces lose to one random hand about 15% of the time; three-handed, either of two hands can get there, and the aces' share falls to around 73%. That is still more than double a fair one-third share.

The right comparison is always with the fair share. A hand that wins 40% of the pot four-handed is a strong favourite (fair share 25%); a hand that wins 40% heads-up is an underdog.

Equity against N random hands, from the same simulated table.
Handvs 1vs 2vs 3vs 5vs 8
AA85.3%73.4%63.9%49.1%34.6%
KK82.3%68.9%58.3%43.0%29.2%
QQ80.0%64.8%53.5%37.8%24.8%
AKs67.0%50.7%41.6%31.0%22.7%
AKo65.5%48.2%38.5%27.7%19.2%
JTs57.6%42.0%33.9%24.7%18.0%
7766.2%46.4%34.2%21.8%14.8%
2250.3%30.6%21.9%15.5%12.4%
72o34.6%20.5%14.3%8.6%5.3%
  1. AA vs 1 random hand85.31%
  2. AA vs 2 random hands73.43%
  3. AA vs 3 random hands63.87%
  4. AA vs 5 random hands49.10%
  5. AA vs 8 random hands34.57%
  6. Fair share with 2 opponents33.33%1 / 3
  7. Edge over fair share40.10%73.43% − 33.33%

Quick check

What is a fair share of the pot for one hand against two opponents?

Show answer

One third — 33.3%. Aces get about 73%.

Try it

Change any card; the numbers recompute from the same engine that produced the answer above.

Board · Preflop
You
Opponent 1
Every possible holding
Opponent 2
Every possible holding

Click a slot, then pick a card. Used cards are greyed out.

Result

Computing…

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