33 vs AK Odds: Pocket Threes vs Ace King

Last updated: May 26, 2026

Pocket Threes (33) wins 52.1% of the time against Ace King offsuit (AKo) preflop. AK wins 47.5% with ties at 0.4%. As the second-lowest pair in poker, 33 occupies a curious position — statistically a favourite over one of the most premium unpaired hands, yet practically one of the trickiest hands to play profitably all-in. The set-mining strategy and implied odds requirements are everything.

The Exact Number: 52.1% vs 47.5%

33 enters the all-in as a 4.6-point favourite over AKo. This is the second-smallest edge of any pair vs AK matchup — only 22 (51.9%) has a smaller advantage. The 0.4% tie rate is the same as for 44, reflecting the low board compositions that can create board-play straights. Against AKs, the edge collapses to a near-true coin flip: 50.3% for 33 vs 49.3% for AK.

33 Wins

52.1%

AK Wins

47.5%

Tie

0.4%

The key insight is that while 33 is technically a preflop favourite vs AK, this edge is largely irrelevant for calling all-ins — the relevant question is always the full range of hands the opponent is likely holding, not just the best-case AK scenario.

Does the Suit Matter?

Suit combinations shift 33 vs AK by approximately 1–2 percentage points. AKs (suited) gains flush draw equity, pushing this matchup into coin-flip territory at approximately 49.3% for AK vs 50.3% for 33. Shared suits between AK and 33 slightly reduce AK's flush equity on the overlapping suit.

Preflop equity by suit combination

Scenario33 WinsAK WinsTieDetail
3♠3♥
vs A♠K♣
51.2%48.4%0.4%One shared suit — AK gains slight flush draw equity
3♠3♥
vs A♣K♦
52.1%47.5%0.4%Baseline: no suit overlap
3♠3♥
vs A♠K♦
51.6%48.0%0.4%Partial suit overlap — AK picks up minor flush equity
3♠3♦
vs A♥K♣
52.1%47.5%0.4%No overlap — matches baseline equity

Post-Flop: When Does the Equity Flip?

Like all low pair-vs-AK matchups, the flop is decisive. An ace or king appearing — roughly 52% of all flops — immediately flips the equity heavily toward AK. A three on the flop converts 33 to a dominant set. Wheel boards create an interesting middle ground where 33 may have a set but AK has a straight draw threatening it.

Equity given specific flops and runouts

Scenario33 WinsAK WinsTieDetail
33 vs AK
vs A-x-x flop
17.1%82.9%0%AK pairs the ace — 33 reduced to runner-runner or a miracle three
33 vs AK
vs K-x-x flop
19.8%80.2%0%AK pairs the king — 33 is a heavy underdog and needs a set
33 vs AK
vs 3-x-x flop
94.6%5.4%0%33 flopped a set — AK drawing almost dead against three threes
33 vs AK
vs A-2-4 flop
68.1%31.9%0%AK has top pair but 33 has a set; wheel draw slightly threatens 33
33 after turn
vs no A/K on flop
69.8%30.2%0%33 maintains its lead — AK running out of overcard outs

The 15:1 Implied Odds Requirement

Professional poker theory requires approximately 15:1 implied odds to profitably set mine with 33 against a single raise. This number comes from the probability of flopping a set and winning the resulting pot consistently enough to cover all the times you miss and fold.

Set mining break-even for 33

  • Flop set frequency11.8%
  • Win rate when set flopped vs AK94.6%
  • Miss rate (no set on flop)88.2%
  • Required implied odds multiplier~15:1
  • Effective stack needed vs 10bb raise150+ bb

In practice, 15:1 implied odds require very deep stacks or an opponent who is willing to stack off post-flop. Against strong regulars who can fold top pair, your implied odds are lower and set mining becomes less profitable with 33.

How 33 vs AK Compares to Similar Matchups

MatchupPair WinsAK WinsTie
55 vs AK52.5%47.1%0.4%
44 vs AK52.4%47.2%0.4%
33 vs AK52.1%47.5%0.4%
22 vs AK51.9%47.7%0.4%

Definitions

Implied Odds
The additional chips you expect to win from opponents on future betting streets when you complete your draw or hit your hand. Implied odds justify calls that appear unprofitable on pot odds alone. Set mining with 33 is a pure implied-odds play — you call preflop knowing you will miss 88% of flops, but expecting to win large pots the 12% of the time you hit.
Set
Three-of-a-kind using a pocket pair plus one community card of the same rank. A set is the most powerful disguised hand in poker — opponents see you slow-playing what appears to be a call with a weak holding. 33 makes a set 11.8% of the time on the flop.
Wheel
The A-2-3-4-5 straight — the lowest possible straight in poker. AK can draw to a wheel because it holds the ace (the top card of the wheel). On boards like 2-3-4 or 2-4-5, AK has a gut-shot or open-ended draw to the wheel, creating unexpected equity against 33's made sets.
Stack-to-Pot Ratio (SPR)
The ratio of effective stack size to the pot size after the preflop action. A low SPR (under 4) means the pot is large relative to remaining stacks — commitment territory. A high SPR (above 13) gives implied odds for set mining. 33 benefits from high-SPR spots where post-flop streets can accommodate large bets.
Nut Hand
The best possible hand given the board. When 33 flops a set on a 3-7-J rainbow board, 33 holds the nut hand. Nut hands allow aggressive value betting and protect against opponents drawing out. Sets are often the nut hand on low-card boards.

Frequently Asked Questions

What are the exact odds of 33 vs AK?

Pocket threes (33) win 52.1% of the time against Ace King offsuit (AKo) preflop. AK wins 47.5% and ties account for 0.4%. Against suited AK (AKs), the gap narrows to 50.3% for 33 vs 49.3% for AK — nearly a coin flip. The 0.4% tie rate is driven by low board run-outs where community cards form straights or the board plays for both hands identically.

What implied odds do I need to set mine with pocket threes?

Set mining with 33 requires roughly 15:1 implied odds — meaning you need to be able to win approximately 15 times the amount you call when you do hit your set. Here is why: 33 flops a set 11.8% of the time, and wins about 94.6% when it does. The effective win rate of the set-mining play is roughly 11.2% (11.8% × 94.6%), meaning you miss about 88.8% of the time. To break even, you need to win enough on your winning 11.2% to cover losses on the 88.8% misses. With 33 being the second-lowest pair, the disguise value of sets of threes is high — opponents with strong hands rarely put you on exactly a flopped set of threes.

How does 33 compare to 22 in the pair-vs-AK matchup?

33 wins 52.1% vs AKo while 22 wins only 51.9% — a 0.2-point difference. This makes 33 only marginally better than the lowest pair in poker. Both are near-coin-flip situations against AK and should be treated similarly in strategy: call in position with sufficient implied odds for set mining, fold in most tournament all-in confrontations unless desperate. The primary difference is that sets of threes are slightly more valuable than sets of twos because they block fewer wheel board runouts.

Should I call an all-in with 33 in a tournament?

Almost never. In tournaments, ICM pressure amplifies the risk of marginal calls. Even though 33 is a 52.1% favourite vs AK specifically, you almost never have certainty your opponent holds exactly AK. If there is any chance they hold a higher pair (TT-AA), your equity collapses. Near a money bubble or pay jump, losing with 33 can cost far more in prize equity than winning gains. The exception is when you are so short-stacked that folding would cripple your tournament life — at under 8-10 big blinds, 33 can be a shove candidate rather than a call.

Is 33 vs AK a coin flip?

Against AKo, no — 33 wins 52.1%, a 4.6-point edge. Against AKs, yes — 33 wins only 50.3%, putting it firmly inside the coin-flip zone (47%–53%). AKs vs 33 at 49.3%/50.3% is genuinely near-random in individual outcomes. Most players refer to any low pair-vs-AK matchup as a 'flip' colloquially, and for 33 vs AKs specifically, that description is accurate. For AKo, 33 is a clear if modest statistical favourite.

What is the danger of wheel boards for 33?

Wheel boards — boards containing A-2, 2-4, 2-5, 3-5, or similar low card combinations — give AK unexpected straight equity. AK holds an ace, giving it the top card of the A-2-3-4-5 wheel. On an A-2-4 flop, AK has top pair and a gutshot to the wheel. On a 2-3-5 flop, AK has a gutshot to A-2-3-4-5. When 33 flops a set on these boards (e.g., 3-2-4), AK can outdraw the set via a wheel. This is a specific vulnerability of 33 that higher pairs do not face as directly.

How does 33 play in cash games vs tournaments?

In cash games with 100+ big blind effective stacks, 33 is a textbook set-mining hand. Call a single raise in position, check-fold on most unconnected boards, and extract maximum value on 3-x-x flops. The implied odds with deep stacks are sufficient to make set mining profitable long term. In tournaments, 33 loses much of this value. Stack depths shrink, reducing implied odds. ICM pressure means a failed set mine near the bubble can cost real money equity. Prefer folding or open-shoving 33 yourself rather than calling opponent shoves in tournament play.

What are the best and worst case flops for 33?

Best case: Any 3-x-x flop. 33 becomes a set and wins ~94.6% of the time against AK. Sets of threes are beautifully disguised — on a 3-7-J rainbow board, opponents with AK are likely to continuation bet into your set without suspecting danger. Worst case: An A-K-x flop. AK makes top two pair, reducing 33 to approximately 3% equity (runner-runner threes for quads or a miraculous running straight). This is one of the most dramatic equity collapses in poker — a preflop favourite turning into a near-dead hand on the flop.

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