What are the odds of being dealt pocket aces?
You are dealt pocket aces 0.45% of the time — about 1 in 221 hands, or 220 to 1 against.
There are four aces, and two of them can be combined in C(4, 2) = 6 ways. Out of all 1,326 two-card starting hands, those 6 are the only pocket aces.
Over a long session of 200 hands, you should expect pocket aces a little less than once. Getting them twice in a session is unremarkable; not getting them for 500 hands happens about 10% of the time.
- Combinations of pocket aces6
- All two-card combinations1,326C(52, 2)
- Probability0.45%6 / 1326
- Odds against220 : 1(1 − p) / p
Quick check
How many two-card combinations are pocket aces?
Show answer
6 — C(4, 2).
Try it
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Click any hand. Suited above the diagonal, offsuit below, pairs on it.
Shading: brighter green is higher equity. Monte Carlo simulation, seeded xoshiro128**, 500,000 trials per hand, seed 20260901.
Pocket pair
Pocket Aces
Equity against random hands
Multi-way, a hand’s share of the pot falls even when it is the favourite: a fair share against 8 opponents is 11.1%.
Head-to-head, exact
Every one of the 1,712,304 possible boards, enumerated for each matchup.
- vs Pocket aces…
- vs Pocket queens…
- vs Ace-king offsuit…
- vs Pocket sevens…