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STAGE 2 BANKROLL MATRIX · 1-2-3-5 · 150U / 10-SHOE

1-2-3-5 Four-Step Ladder — 150-Unit Bankroll & 10-Shoe (720-Hand) Risk-of-Ruin Matrix

Within step-indexed horizon M218-0, a 150-unit treasury backing 1-2-3-5 Four-Step Ladder for 720 hands (10 shoes) faces a 100-unit bet cap that quantifies 46.55% ruin exposure, 33.25% target attainment at +38u, and 20.20% time-limit expiration. 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 (-75u Stop)
46.55%
Target Hit (+38u Cap)
33.25%
720-Hand Expected Hold
14.54u
Table Max (6-Step Depth)
100u
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference 8-deck shoe for Matrix Cell M218 (1-2-3-5 Four-Step Ladder, 150u bankroll, 720 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 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

Session Bankroll & Horizon
150u / 10 Shoes (720 Hands)

Matrix cell M218 tests 1-2-3-5 Four-Step Ladder with a $100 base unit and -75u/+38u absorbing boundaries.

Stop-Loss Ruin Probability
46.55%

Probability of hitting the -75u drawdown barrier before completing 720 hands or reaching +38u.

Stop-Win Target Completion
33.25%

Share of 720-hand trajectories reaching the +38u session ceiling, with 20.20% ending between barriers.

Table Limit Survival Depth
6 Steps (100u Cap)

A 100-unit house limit and 150-unit stack cap 1-2-3-5 escalation after 6 adverse coups.

Expected Session House Hold
14.54u ($1454)

Derived from 1238u total action (1.72x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M218 · STOP-LOSS & STOP-WIN GEOMETRY

1-2-3-5 150u non-stationary boundary Across 720 Hands (M218)

Horizon matrix M218-1 charts how 1-2-3-5 (1-2-3-5) behaves inside a 150-unit session budget across 720 coups, showing that a 100-unit pit limit and 75-unit floor generate a 46.55% drawdown-trigger rate alongside 14.54u in expected 8-deck vigorish.

Within absorbing-barrier horizon M218-2, a 150-unit treasury backing 1-2-3-5 Four-Step Ladder for 720 hands (10 shoes) faces a 100-unit bet cap that profiles 46.55% ruin exposure, 33.25% target attainment at +38u, and 20.20% time-limit expiration.

M218 Parameter1-2-3-5 (150u)10-Shoe boundary
1-2-3-5 Ladder1-2-3-5 (4 steps)Peak 5u multiplier on M218
150u Stack Window720 hands (10 shoes)Barriers -75u / +38u
100u Ceiling & Ruin46.55% ruin vs 33.25% winDepth 6 steps (3 cap hits)
1238u Handle & Hold14.54u ($1454)Multiplier 1.72x (non-stationary drift)
STEP ESCALATION & TURNOVER AUDIT

100u Ceiling Collisions & 1-2-3-5 Turnover (10 Shoes)

Horizon matrix M218-3 calibrates how 1-2-3-5 (1-2-3-5) behaves inside a 150-unit session budget across 720 coups, showing that a 100-unit pit limit and 75-unit floor generate a 46.55% drawdown-trigger rate alongside 14.54u in expected 8-deck vigorish.

Within capital-bounded horizon M218-4, a 150-unit treasury backing 1-2-3-5 Four-Step Ladder for 720 hands (10 shoes) faces a 100-unit bet cap that dissects 46.55% ruin exposure, 33.25% target attainment at +38u, and 20.20% time-limit expiration.

  • Cell M218 rule: lock the -75u stop on your 150u 1-2-3-5 stack across 720 hands.
  • Matrix M218 inspects 14.54u ($1454) in house hold over 1238u of 1-2-3-5 action.
  • Scoreboard check M218: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (non-stationary boundary) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 150 units to a 10-shoe session lets 1-2-3-5 Four-Step Ladder overcome the 1.058% Banker house edge.
TruthNo bankroll size alters per-hand expectation: over 720 hands, 1-2-3-5 generates 1238u in action, 14.54u in expected loss, and a 46.55% stop-loss ruin rate.
MythDerived road colors on the scoreboard tell 1-2-3-5 bettors whether Banker (red) or Player (blue) is due during a 720-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