Skip to main content
Baccarat Smart
  1. Home
  2. Combinatorial Math & Odds Hub
  3. HK 6-Step vs Macau 3-Step (5% Comm High-Tie)
STAGE 2 STRESS TEST · HK 6-STEP VS MACAU 3-STEP

Hong Kong 6-Step Cruise vs. Macau 3-Step VIP Bullet — 16% High-Tie Cluster Shoe under 5% Banker Commission (78-Hand Stress Test)

Pairing a 75-unit bankroll against 78 hands of 5% Comm High-Tie (1.0579% edge) in cell S369-0 evaluates HK 6-Step at 27.10% ruin and -34u peak capital-runway, whereas Macau 3-Step records 8.66% ruin and -17u below the 50-unit ceiling. Because every 8-deck coup is statistically independent under 5% Banker Commission (0.95:1) (1.0579% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.

HK 6-Step Ruin Rate
27.10%
Macau 3-Step Ruin Rate
8.66%
Peak Trough (4-Run)
-34u
5% Comm High-Tie House Edge
1.0579%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road P P B B P P P P B B B B P B P B
Big Eye Boy = = = ≠ = ≠ = = = = = ≠ ≠ =
Small Road = ≠ = ≠ = ≠ = ≠ = ≠ ≠ ≠
Cockroach Pig = ≠ = ≠ = = ≠ ≠

Reference 8-deck shoe for Stress Cell S369 (HK 6-Step vs Macau 3-Step, 16% High-Tie Cluster Shoe under 5% Banker Commission). Big Road shows Banker (red) and Player (blue); derived roads track symmetry.

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
Big Eye Boy Mark #2

Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back.
  2. Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #2

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 3 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #2

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 4 goes down to Row 3, so use Rule 2: look 3 columns back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Matchup & Shoe Profile
HK 6-Step vs Macau 3-Step (5% Comm High-Tie)

Stress cell S369 compares 1-3-7-15-31-63 against 1-3-7 cap over 78 hands.

Head-to-Head Ruin Rate
27.10% vs 8.66%

Probability of exhausting the 75-unit bankroll under a 50-unit house bet limit.

Expected Session Hold
3.58u vs 1.39u

Theoretical erosion under 5% Banker Commission (0.95:1) (1.0579% house edge) across 78 coups.

Peak Drawdown Excursion
-34u vs -17u

Deepest unit trough triggered by a 4-hand run inside the high-tie shoe profile.

Tie Stalls & Commission Toll
13 Ties · 1.72u Drag

Reflects 16.67% tie frequency (13 pushes) and 1.72u in vigorish friction.

STRESS CELL S369 · HIGH-TIE SHOE PROFILE

HK 6-Step vs. Macau 3-Step drawdown-weighted decay-rate (78 Hands · S369)

Across 78 resolved and tied deals under 5% Comm High-Tie (1.0579% edge), finite-shoe comparison S369-1 charts Hong Kong 6-Step Cruise against Macau 3-Step VIP Bullet on a 75-unit bankroll, showing that 4-hand clusters and a 50-unit ceiling drive 27.10% vs 8.66% stop-loss breaches along the variance-scaled drawdown-slope.

Pairing a 75-unit bankroll against 78 hands of 5% Comm High-Tie (1.0579% edge) in cell S369-2 inspects HK 6-Step at 27.10% ruin and -34u peak absorption-curve, whereas Macau 3-Step records 8.66% ruin and -17u below the 50-unit ceiling.

S369 decay-rateHK 6-StepMacau 3-Step
HK 6-Step / Macau 3-Step Rule1-3-7-15-31-631-3-7 cap
78-Hand Ruin (75u)27.10%8.66%
5% Comm High-Tie Hold (1.0579%)3.58u1.39u
4-Run Trough (50u Cap)-34u-17u
VIGORISH & TABLE CEILING INTERACTION

5% Comm High-Tie Vigorish (1.72u) & 16.67% Tie Push Audit (S369)

Across 78 resolved and tied deals under 5% Comm High-Tie (1.0579% edge), multi-coup comparison S369-3 documents Hong Kong 6-Step Cruise against Macau 3-Step VIP Bullet on a 75-unit bankroll, showing that 4-hand clusters and a 50-unit ceiling drive 27.10% vs 8.66% stop-loss breaches along the eight-deck footprint.

Pairing a 75-unit bankroll against 78 hands of 5% Comm High-Tie (1.0579% edge) in cell S369-4 audits HK 6-Step at 27.10% ruin and -34u peak stake-velocity, whereas Macau 3-Step records 8.66% ruin and -17u below the 50-unit ceiling.

  • Trial S369: set a 75u stop before running HK 6-Step vs Macau 3-Step over 78 hands.
  • Scenario S369 measures 1.72u in commission drag and 13 tie pushes (16.67% Tie rate).
  • Board rule S369: derived road red marks drawdown-weighted column repetition and blue marks a structural break (decay-rate), never Banker or Player.
Table Reality Check

Myth vs. Truth

MythSwitching from Macau 3-Step to HK 6-Step during 16% High-Tie Cluster Shoe under 5% Banker Commission neutralizes the 1.0579% house edge.
TruthOver 78 hands on a 75-unit stack, HK 6-Step carries 3.58u expected loss (27.10% ruin) vs 1.39u (8.66% ruin) for Macau 3-Step.
MythDuring a 4-hand high-tie sequence, red marks on Big Eye Boy or Small Road indicate Banker is favored next.
TruthDerived road colors never represent Banker or Player: red denotes repeatingBig Road structure and blue denotes breaking structure.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.

  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android