66 vs 33 Odds: Pocket Sixes vs Pocket Threes

Last updated: May 27, 2026

Pocket Sixes (66) wins 81.8% of the time against Pocket Threes (33) preflop. 33 wins 16.5% with ties at 1.7%. This is a low-pair domination matchup — 66 holds two cards that rank above 33's pair, leaving 33 with only two set outs as a realistic winning path. 33 is a near-pure set-mine against 66: unlike medium pairs that pick up straight-draw equity on connected boards, threes operate in the lowest connectivity zone of the card spectrum, making the flop-a-set path nearly the only route to winning.

The Exact Number: 81.8% vs 16.5%

66's 65.3-point advantage over 33 is one of the larger margins among adjacent low-pair matchups. The 1.7% tie rate is slightly below the 1.8–1.9% seen in medium-pair matchups because low pairs share fewer straight-completing board combinations that produce splits — threes and sixes both connect to fewer straights than nines and tens do.

66 Wins

81.8%

33 Wins

16.5%

Tie

1.7%

33's 16.5% equity is almost entirely concentrated in set-out probability (~10.4% contribution) plus A-2-3 wheel board scenarios and runner-runner routes. The remaining ~6.1% represents the full range of non-set winning paths — a reminder that set-mining is 33's dominant strategy, but secondary equity still exists.

Does the Suit Matter?

Suit combinations affect 66 vs 33 by approximately 0.4 percentage points. Since 33's primary equity driver (set outs) is completely suit-independent, the small variation comes only from flush draw possibilities when 33 shares a suit with a six. The 1.7% tie rate is constant across all suit configurations.

Preflop equity by suit combination

Scenario66 Wins33 WinsTieDetail
6♠6♥
vs 3♠3♣
81.4%16.9%1.7%33 shares a suit with one six, gaining slight flush draw potential
6♠6♥
vs 3♣3♦
81.8%16.5%1.7%Baseline: no suit overlap
6♠6♥
vs 3♠3♦
81.6%16.7%1.7%Partial overlap — slight flush equity for 33
6♣6♦
vs 3♥3♠
81.8%16.5%1.7%No overlap — matches baseline

Post-Flop: Key Board Scenarios

Post-flop in 66 vs 33, board texture determines everything but in a simpler way than medium-pair matchups. 33 has almost no secondary equity sources on most boards — if no three appears on the flop, 66 holds an overwhelming advantage. The only exceptions are three-specific boards (3-x-x) and the rare A-2-3 partial wheel texture.

Equity given specific flops and runouts

Scenario66 Wins33 WinsTieDetail
66 vs 33
vs 3-x-x flop
11.9%88.1%0%33 flopped a set — 66 needs a six to stay competitive
66 vs 33
vs 6-x-x flop
95.5%4.5%0%66 flopped a set — 33 nearly drawing dead
66 vs 33
vs 6-3-x flop
85.2%14.8%0%Set-over-set cooler: 66 top set crushes 33 bottom set
66 vs 33
vs A-2-3 flop
78.4%21.6%0%33 flopped a set with partial wheel board — A-4 gives 33 a straight, shifting equity significantly
66 after turn
vs no 3 on flop
93.1%6.9%0%33 running out of outs — only runner-runner paths remain

33 as a Near-Pure Set-Mine: Why Low Pairs Differ from Medium Pairs

Medium pairs like 99 vs TT have meaningful secondary equity sources: connected boards with 7s, 8s, and straight draws give 99 roughly 6–7% equity beyond its set-out probability. Threes have almost none of this. The 2-3-4, 3-4-5, and A-2-3 boards are the only straight-relevant textures for 33, and these boards still require 33 to either flop its set or catch perfect running cards.

Against 66 specifically, 33 benefits from one interesting dynamic: 66 is a medium-low pair that can itself face overcard pressure. On boards with 7s, 8s, and 9s, 66's overpair status is threatened by the wider ranges that opponents could hold — but this does not benefit 33 directly. In a head-to-head 66 vs 33 matchup, 66's vulnerability to overcards (from an opponent's range perspective) is irrelevant; only the direct 66 vs 33 equity matters. 33 performs essentially the same against 66 as it does against 55 or 44 because the structural set-mine mechanics are nearly identical regardless of which specific low pair is the favourite.

33 equity sources vs 66

  • Flop a set of threes (11.8%) × win from there (~88%)~10.4%
  • A-2-3 wheel board partial draws~2.1%
  • Runner-runner boats and quads~0.8%
  • Board-play ties and miscellaneous runouts~3.2%
  • Total 33 equity16.5%

Low Pair Domination Reference Table

66 vs 33 in context. The table below shows how 66's equity shifts across all lower-pair matchups and where 33 sits relative to 55 and 44 in the same role.

MatchupWinner%Loser%Ties%
66 vs 5581.5%16.8%1.7%
66 vs 4481.7%16.6%1.7%
66 vs 3381.8%16.5%1.7%
66 vs 2281.9%16.4%1.7%
55 vs 4481.5%16.8%1.7%
55 vs 3381.7%16.6%1.7%
55 vs 2281.8%16.5%1.7%
44 vs 3381.5%16.8%1.7%
44 vs 2281.7%16.6%1.7%
33 vs 2281.5%16.8%1.7%

Key pattern: all low-pair domination matchups cluster tightly between 81.5–81.9% for the favourite. The trend is that larger gaps between pairs produce marginally higher equity for the favourite (66 vs 22 at 81.9% vs 66 vs 55 at 81.5%), reflecting the lower connectivity of more distant pairs. The differences are small — the structural set-out mechanism is nearly identical across all these matchups.

Definitions

Set-Mine
A preflop strategy where a player calls a raise holding a small pocket pair, intending to fold all non-set flops and extract maximum value when they flop three-of-a-kind. 33 vs 66 is a near-pure set-mine situation — 33 has only 2 outs to improve its pair, making set-flopping (~11.8%) the primary and almost exclusive path to winning the pot. Profitable set-mining requires approximately 7:1 implied odds to compensate for the 88.2% miss rate.
Domination
A matchup where one pair significantly outranks another, leaving the lower pair with primarily set outs as its winning mechanism. 66 dominates 33 — 33's two remaining threes are its only realistic winning path, contributing approximately 10.4% of its 16.5% total equity. The remaining ~6% comes from wheel draw partial equity, runner-runner scenarios, and board-play ties.
Wheel Board
A board containing A-2-3-4-5 (the lowest possible straight) components. For 33, an A-2-3 flop creates a partial wheel draw — if turn and river bring 4 and 5, 33 completes the wheel straight. However, this runner-runner draw is secondary equity; 33's flopped set on the same A-2-3 board is the dominant equity source. Against 66, wheel board equity gives 33 approximately 3–5% additional runner equity beyond the set itself.
Cooler
A hand where both players hold very strong holdings and maximum chips go in, but one hand dominates. 66 vs 33 on a 6-3-x flop (set-over-set) is the definitive cooler for this matchup: both players have three-of-a-kind simultaneously, 66 has top set, and neither player can reasonably fold. 66 wins ~85% of these situations. A cooler is distinguished from a mistake by the fact that both players' decisions are correct — the outcome is determined by card distribution.
Board Connectivity
The degree to which a flop's cards create straight and flush draw possibilities. Low boards featuring 2s, 3s, 4s, 5s, and 6s have limited connectivity compared to mid-range boards (6–J). 33 vs 66 is played primarily on low boards where 33 either flops its set or remains a pure underpair. The narrow connectivity of these low boards is one reason 33's secondary equity sources (straight draws, flush draws) are minimal — low cards form fewer complete straights than mid-range cards do.

Frequently Asked Questions

What are the exact 66 vs 33 preflop odds?

Pocket Sixes (66) win 81.8% of the time against Pocket Threes (33) preflop. 33 wins 16.5% and ties account for 1.7%. This is a low-pair domination matchup — 66 holds two cards that rank above 33's pair, leaving 33 with only two outs (the remaining threes) as its primary winning path. 33 flops a set approximately 11.8% of the time; when it does, 33 becomes roughly an 88% favourite from that point. The 1.7% tie rate is standard for low-pair domination matchups where neither hand connects to Broadway straights.

Is 33 a pure set-mine against 66?

Nearly, yes. 33 vs 66 is as close to a pure set-mine situation as exists in poker. 33's primary winning path — flopping three threes — occurs roughly 11.8% of the time. The secondary equity sources (partial wheel draws on A-2-3 boards, runner-runner boats) are meaningful in absolute numbers but represent a far smaller contribution than the set-flop scenario. Against 66, 33 lacks the straight-draw potential that medium pairs like 99 have against TT because threes and sixes are too far below the connected zone of 6s–Ts where straight possibilities become abundant. Treating 33 as a set-mine vs 66 and playing accordingly is strategically sound.

What is the A-2-3 board scenario — does 33 benefit from wheel boards?

An A-2-3 flop gives 33 a set with a partial wheel draw present — specifically, if a 4 and 5 appear on turn and river, 33 makes a straight (A-2-3-4-5). However, this draw requires two specific running cards, and 66 maintains ~78% equity even on A-2-3 because 66 still has an overpair (sixes are an overpair on an ace-low three-high board). The more relevant effect: on A-2-3 when 33 has flopped a set, the set alone (not the wheel draw) drives 33's equity to ~88%. The partial wheel scenario adds marginal running equity beyond the set itself but is not the core reason 33 wins on that board.

What is the 6-3-x set-over-set scenario?

On a 6-3-x flop, both 66 and 33 have flopped sets simultaneously. 66 has top set (three sixes) and 33 has bottom set (three threes). 66 wins approximately 85% from this point — 33 can only win by making four threes (quads) or running out a full house of threes-over-sixes that beats 66's full house of sixes-over-threes. Both players will typically commit all chips on the 6-3-x flop — it is a classic cooler — and 66 is the dominant favourite. The set-over-set probability is approximately 0.3% given both players hold pocket pairs (both must flop their respective sets simultaneously).

How does 33 compare to other low pairs against 66?

33 performs almost identically against 66 as other low pairs in the same range do against it. 66 vs 55 is 81.5%, 66 vs 44 is 81.7%, and 66 vs 33 is 81.8%. The slight upward trend as the gap between the pairs increases reflects that lower pairs have marginally less shared board connectivity with 66 — threes connect to fewer of the same board textures that sixes threaten. However, the differences are tiny (0.3 percentage points across the 55-to-33 range) because all these matchups share the same fundamental structure: the lower pair has 2 outs to a set, and set-mining mechanics are nearly identical regardless of which specific low rank is involved.

What are the implied odds for 33 set-mining vs 66?

33 set-mining vs 66 requires the standard implied odds calculation: 33 needs to call a preflop raise and, when it flops a set (~11.8%), extract enough to compensate for the 88.2% of times it misses. The required ratio is approximately 7:1 or better — meaning the effective stack should be at least 7× the raise amount for set-mining to be clearly profitable. Against 66, which will pay off heavily on 3-high and 3-x-x boards (66's overpair on low boards creates high payoff likelihood), 33's implied odds are strong. The key risk is 66 folding on three-high boards — if 66 correctly identifies the set-mine danger and checks back, 33's payoff diminishes.

Where does 66 vs 33 fit in the full pair-vs-pair equity table?

66 vs 33 (81.8%) sits in the upper-middle range of pair domination matchups. The full spectrum runs from AA vs KK (82.4%) at the top to low adjacent pairs (55 vs 44, TT vs 99) at around 81.5%. 66 vs 33 at 81.8% reflects that the three-rank gap between the pairs slightly increases 66's equity versus adjacent-pair matchups — lower pairs have marginally less board connectivity to the higher pair's range and slightly fewer shared straight draws. Compared to 66 vs 55 (81.5%) and 66 vs 22 (81.9%), 66 vs 33 sits exactly in between.

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