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What are the odds of being dealt ace-king?

Ace-king (suited or offsuit) is dealt 1.21% of the time — about 1 in 83 hands. Suited alone is 0.30%.

Probability
1.21%
about 1 time in 83
suited only
0.30%
Exact. Counted directly from the 1,326 two-card combinations.

Any specific unpaired hand has 16 combinations: 4 suited (one per suit) and 12 offsuit (4 choices for the first card's suit × 3 for the second). That 4-to-12 split is why offsuit hands make up three quarters of every unpaired holding.

It also means an opponent is three times as likely to hold ace-king offsuit as ace-king suited — a fact that matters far more in range analysis than at the moment you look at your own cards.

  1. Suited combinations4one per suit
  2. Offsuit combinations124 × 3
  3. All ace-king combinations164 + 12
  4. Probability1.21%16 / 1326

Try it

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

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.

Suited

Ace-King suited

Combinations
4
of 1326
Dealt
0.30%
about 1 time in 332
Odds against
330.5 : 1

Equity against random hands

67.0%
vs 1
50.7%
vs 2
41.6%
vs 3
31.0%
vs 5
22.7%
vs 8

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…

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