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

Hong Kong 6-Step Cruise vs. Flat 1-Unit Baseline — Four-Shoe 12-Run Volatility under No-Commission Banker 6 (288-Hand Stress Test)

In head-to-head trial S296-0 across 288 deals (4-Shoe Streak, 1.4579% edge), HK 6-Step records a -72u peak ledger and 31.25% ruin probability on a 180-unit stack, whereas Flat Betting logs a -21u trough and 9.17% ruin under the 100-unit limit. Because every 8-deck coup is statistically independent under No-Commission Banker 6 (0.50:1 on 6) (1.4579% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.

HK 6-Step Ruin Rate
31.25%
Flat Betting Ruin Rate
9.17%
Peak Trough (12-Run)
-72u
4-Shoe Streak House Edge
1.4579%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference 8-deck shoe for Stress Cell S296 (HK 6-Step vs Flat Betting, Four-Shoe 12-Run Volatility under No-Commission Banker 6). 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

Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #2

Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

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

Stress cell S296 compares 1-3-7-15-31-63 against 1-1-1-1 constant unit over 288 hands.

Head-to-Head Ruin Rate
31.25% vs 9.17%

Probability of exhausting the 180-unit bankroll under a 100-unit house bet limit.

Expected Session Hold
18.21u vs 4.37u

Theoretical erosion under No-Commission Banker 6 (0.50:1 on 6) (1.4579% house edge) across 288 coups.

Peak Drawdown Excursion
-72u vs -21u

Deepest unit trough triggered by a 12-hand run inside the streak shoe profile.

Tie Stalls & Commission Toll
26 Ties · 11.29u Drag

Reflects 9.03% tie frequency (26 pushes) and 11.29u in vigorish friction.

STRESS CELL S296 · STREAK SHOE PROFILE

HK 6-Step vs. Flat Betting finite-shoe excursion (288 Hands · S296)

Within house-edge-anchored testbed S296-1, a 180-unit bankroll facing 288 coups of 4-Shoe Streak (streak) and a 100-unit maximum wager calibrates 31.25% ruin (18.21u expected loss) on Hong Kong 6-Step Cruise versus 9.17% ruin (4.37u expected loss) on Flat 1-Unit Baseline.

In head-to-head trial S296-2 across 288 deals (4-Shoe Streak, 1.4579% edge), HK 6-Step records a -72u peak excursion and 31.25% ruin probability on a 180-unit stack, whereas Flat Betting logs a -21u trough and 9.17% ruin under the 100-unit limit.

S296 excursionHK 6-StepFlat Betting
HK 6-Step / Flat Betting Rule1-3-7-15-31-631-1-1-1 constant unit
288-Hand Ruin (180u)31.25%9.17%
4-Shoe Streak Hold (1.4579%)18.21u4.37u
12-Run Trough (100u Cap)-72u-21u
VIGORISH & TABLE CEILING INTERACTION

4-Shoe Streak Vigorish (11.29u) & 9.03% Tie Push Audit (S296)

Within table-capped testbed S296-3, a 180-unit bankroll facing 288 coups of 4-Shoe Streak (streak) and a 100-unit maximum wager models 31.25% ruin (18.21u expected loss) on Hong Kong 6-Step Cruise versus 9.17% ruin (4.37u expected loss) on Flat 1-Unit Baseline.

In head-to-head trial S296-4 across 288 deals (4-Shoe Streak, 1.4579% edge), HK 6-Step records a -72u peak turnover and 31.25% ruin probability on a 180-unit stack, whereas Flat Betting logs a -21u trough and 9.17% ruin under the 100-unit limit.

  • Trial S296: set a 180u stop before running HK 6-Step vs Flat Betting over 288 hands.
  • Scenario S296 profiles 11.29u in commission drag and 26 tie pushes (9.03% Tie rate).
  • Board rule S296: derived road red marks finite-shoe column repetition and blue marks a structural break (excursion), never Banker or Player.
Table Reality Check

Myth vs. Truth

MythSwitching from Flat Betting to HK 6-Step during Four-Shoe 12-Run Volatility under No-Commission Banker 6 neutralizes the 1.4579% house edge.
TruthOver 288 hands on a 180-unit stack, HK 6-Step carries 18.21u expected loss (31.25% ruin) vs 4.37u (9.17% ruin) for Flat Betting.
MythDuring a 12-hand streak 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