Skip to main content
Baccarat Smart
  1. Home
  2. Combinatorial Math & Odds Hub
  3. HK 6-Step 300u 1-Shoe Matrix
STAGE 2 BANKROLL MATRIX · HK 6-STEP · 300U / 1-SHOE

Hong Kong 6-Step Cruise — 300-Unit Bankroll & 1-Shoe (72-Hand) Risk-of-Ruin Matrix

For a 300-unit roll spanning 72 hands (1 shoes), Hong Kong 6-Step Cruise (1-3-7-15-31-63) charts a discrete-time volatility-band under matrix M446-0, where the 40-unit table roof and -150u/+75u barriers yield 5.42% ruin versus 44.15% upside completion. Every 8-deck hand remains statistically independent (45.86% Banker, 44.62% Player, 9.52% Tie), meaning progression sizing reshapes session variance without altering the house edge.

Ruin Rate (-150u Stop)
5.42%
Target Hit (+75u Cap)
44.15%
72-Hand Expected Hold
5.05u
Table Max (6-Step Depth)
40u
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference 8-deck shoe for Matrix Cell M446 (Hong Kong 6-Step Cruise, 300u bankroll, 72 hands). Big Road and Bead Plate show Banker (red) and Player (blue); derived roads record structural 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 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

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

Session Bankroll & Horizon
300u / 1 Shoes (72 Hands)

Matrix cell M446 tests Hong Kong 6-Step Cruise with a $25 base unit and -150u/+75u absorbing boundaries.

Stop-Loss Ruin Probability
5.42%

Probability of hitting the -150u drawdown barrier before completing 72 hands or reaching +75u.

Stop-Win Target Completion
44.15%

Share of 72-hand trajectories reaching the +75u session ceiling, with 50.43% ending between barriers.

Table Limit Survival Depth
6 Steps (40u Cap)

A 40-unit house limit and 300-unit stack cap HK 6-Step escalation after 6 adverse coups.

Expected Session House Hold
5.05u ($126)

Derived from 325u total action (4.51x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M446 · STOP-LOSS & STOP-WIN GEOMETRY

HK 6-Step 300u non-stationary profile Across 72 Hands (M446)

Combinatorial ledger M446-1 profiles HK 6-Step (1-3-7-15-31-63) at 300 units and 72 hands (1 shoes), proving that a 40-unit table ceiling and 4.51x average bet multiplier yield 5.42% ruin probability and 5.05u in theoretical house hold.

For a 300-unit roll spanning 72 hands (1 shoes), Hong Kong 6-Step Cruise (1-3-7-15-31-63) calibrates a asymmetric survival-window under matrix M446-2, where the 40-unit table roof and -150u/+75u barriers yield 5.42% ruin versus 44.15% upside completion.

M446 ParameterHK 6-Step (300u)1-Shoe profile
HK 6-Step Ladder1-3-7-15-31-63 (6 steps)Peak 63u multiplier on M446
300u Stack Window72 hands (1 shoes)Barriers -150u / +75u
40u Ceiling & Ruin5.42% ruin vs 44.15% winDepth 6 steps (8 cap hits)
325u Handle & Hold5.05u ($126)Multiplier 4.51x (non-stationary drift)
STEP ESCALATION & TURNOVER AUDIT

40u Ceiling Collisions & HK 6-Step Turnover (1 Shoes)

Combinatorial ledger M446-3 dissects HK 6-Step (1-3-7-15-31-63) at 300 units and 72 hands (1 shoes), proving that a 40-unit table ceiling and 4.51x average bet multiplier yield 5.42% ruin probability and 5.05u in theoretical house hold.

For a 300-unit roll spanning 72 hands (1 shoes), Hong Kong 6-Step Cruise (1-3-7-15-31-63) evaluates a non-stationary progression-curve under matrix M446-4, where the 40-unit table roof and -150u/+75u barriers yield 5.42% ruin versus 44.15% upside completion.

  • Cell M446 rule: lock the -150u stop on your 300u HK 6-Step stack across 72 hands.
  • Matrix M446 tabulates 5.05u ($126) in house hold over 325u of HK 6-Step action.
  • Scoreboard check M446: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (non-stationary profile) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 300 units to a 1-shoe session lets Hong Kong 6-Step Cruise overcome the 1.058% Banker house edge.
TruthNo bankroll size alters per-hand expectation: over 72 hands, HK 6-Step generates 325u in action, 5.05u in expected loss, and a 5.42% stop-loss ruin rate.
MythDerived road colors on the scoreboard tell HK 6-Step bettors whether Banker (red) or Player (blue) is due during a 72-hand run.
TruthOn Big Eye Boy, Small Road, and Cockroach Pig, red indicates repeating column structure and blue indicates breaking structure; neither color represents Banker or Player.
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