Skip to main content
Baccarat Smart
  1. Home
  2. Combinatorial Math & Odds Hub
  3. HK 6-Step vs Flat Betting (4-Shoe Chop)
STAGE 2 STRESS TEST · HK 6-STEP VS FLAT BETTING

Hong Kong 6-Step Cruise vs. Flat 1-Unit Baseline — Four-Shoe Alternating Sawtooth under 5% Banker Commission (288-Hand Stress Test)

Pairing a 160-unit bankroll against 288 hands of 4-Shoe Chop (1.0579% edge) in cell S295-0 models HK 6-Step at 36.16% ruin and -28u peak cadence, whereas Flat Betting records 9.92% ruin and -14u below the 100-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
36.16%
Flat Betting Ruin Rate
9.92%
Peak Trough (3-Run)
-28u
4-Shoe Chop 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 B P P P B B B P P B B P
Big Eye Boy = ≠ ≠ = = = = ≠ ≠ = ≠ ≠ = =
Small Road = ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ ≠
Cockroach Pig = = ≠ ≠ = = ≠ ≠

Reference 8-deck shoe for Stress Cell S295 (HK 6-Step vs Flat Betting, Four-Shoe Alternating Sawtooth 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

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

  1. Column 2 goes down to Row 3, so use Rule 2: look 1 column 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.

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

Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

Matchup & Shoe Profile
HK 6-Step vs Flat Betting (4-Shoe Chop)

Stress cell S295 compares 1-3-7-15-31-63 against 1-1-1-1 constant unit over 288 hands.

Head-to-Head Ruin Rate
36.16% vs 9.92%

Probability of exhausting the 160-unit bankroll under a 100-unit house bet limit.

Expected Session Hold
13.21u vs 3.17u

Theoretical erosion under 5% Banker Commission (0.95:1) (1.0579% house edge) across 288 coups.

Peak Drawdown Excursion
-28u vs -14u

Deepest unit trough triggered by a 3-hand run inside the chop shoe profile.

Tie Stalls & Commission Toll
27 Ties · 6.34u Drag

Reflects 9.38% tie frequency (27 pushes) and 6.34u in vigorish friction.

STRESS CELL S295 · CHOP SHOE PROFILE

HK 6-Step vs. Flat Betting absorbing-barrier drawdown-slope (288 Hands · S295)

Across 288 resolved and tied deals under 4-Shoe Chop (1.0579% edge), combinatorial comparison S295-1 measures Hong Kong 6-Step Cruise against Flat 1-Unit Baseline on a 160-unit bankroll, showing that 3-hand clusters and a 100-unit ceiling drive 36.16% vs 9.92% stop-loss breaches along the finite-shoe drawdown-slope.

Pairing a 160-unit bankroll against 288 hands of 4-Shoe Chop (1.0579% edge) in cell S295-2 dissects HK 6-Step at 36.16% ruin and -28u peak escalation, whereas Flat Betting records 9.92% ruin and -14u below the 100-unit ceiling.

S295 drawdown-slopeHK 6-StepFlat Betting
HK 6-Step / Flat Betting Rule1-3-7-15-31-631-1-1-1 constant unit
288-Hand Ruin (160u)36.16%9.92%
4-Shoe Chop Hold (1.0579%)13.21u3.17u
3-Run Trough (100u Cap)-28u-14u
VIGORISH & TABLE CEILING INTERACTION

4-Shoe Chop Vigorish (6.34u) & 9.38% Tie Push Audit (S295)

Across 288 resolved and tied deals under 4-Shoe Chop (1.0579% edge), asymmetric comparison S295-3 quantifies Hong Kong 6-Step Cruise against Flat 1-Unit Baseline on a 160-unit bankroll, showing that 3-hand clusters and a 100-unit ceiling drive 36.16% vs 9.92% stop-loss breaches along the variance-scaled footprint.

Pairing a 160-unit bankroll against 288 hands of 4-Shoe Chop (1.0579% edge) in cell S295-4 computes HK 6-Step at 36.16% ruin and -28u peak exposure, whereas Flat Betting records 9.92% ruin and -14u below the 100-unit ceiling.

  • Trial S295: set a 160u stop before running HK 6-Step vs Flat Betting over 288 hands.
  • Scenario S295 dissects 6.34u in commission drag and 27 tie pushes (9.38% Tie rate).
  • Board rule S295: derived road red marks absorbing-barrier column repetition and blue marks a structural break (drawdown-slope), never Banker or Player.
Table Reality Check

Myth vs. Truth

MythSwitching from Flat Betting to HK 6-Step during Four-Shoe Alternating Sawtooth under 5% Banker Commission neutralizes the 1.0579% house edge.
TruthOver 288 hands on a 160-unit stack, HK 6-Step carries 13.21u expected loss (36.16% ruin) vs 3.17u (9.92% ruin) for Flat Betting.
MythDuring a 3-hand chop 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