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STAGE 2 BANKROLL MATRIX · 1-2-3-5 · 200U / 2-SHOE

1-2-3-5 Four-Step Ladder — 200-Unit Bankroll & 2-Shoe (144-Hand) Risk-of-Ruin Matrix

Across 144 eight-deck hands (2 shoes), session-bounded simulation M219-0 for 1-2-3-5 Four-Step Ladder on a 200-unit bankroll inspects a 8.93% risk-of-ruin figure, inspects 1 ceiling-collision events against the 50-unit cap and a 46.68% mid-corridor finish rate. 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 (-100u Stop)
8.93%
Target Hit (+50u Cap)
44.40%
144-Hand Expected Hold
2.95u
Table Max (6-Step Depth)
50u
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference 8-deck shoe for Matrix Cell M219 (1-2-3-5 Four-Step Ladder, 200u bankroll, 144 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

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

Session Bankroll & Horizon
200u / 2 Shoes (144 Hands)

Matrix cell M219 tests 1-2-3-5 Four-Step Ladder with a $25 base unit and -100u/+50u absorbing boundaries.

Stop-Loss Ruin Probability
8.93%

Probability of hitting the -100u drawdown barrier before completing 144 hands or reaching +50u.

Stop-Win Target Completion
44.40%

Share of 144-hand trajectories reaching the +50u session ceiling, with 46.68% ending between barriers.

Table Limit Survival Depth
6 Steps (50u Cap)

A 50-unit house limit and 200-unit stack cap 1-2-3-5 escalation after 6 adverse coups.

Expected Session House Hold
2.95u ($74)

Derived from 251u total action (1.74x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M219 · STOP-LOSS & STOP-WIN GEOMETRY

1-2-3-5 200u variance-scaled progression-curve Across 144 Hands (M219)

Cell M219-1 verifies the variance-scaled distribution of a 200-unit 1-2-3-5 plan over 144 hands: because each hand remains independent at 1.058% Banker edge, scaling stakes toward the 50-unit ceiling elevates total turnover to 251u and sets ruin at 8.93%.

Across 144 eight-deck hands (2 shoes), step-indexed simulation M219-2 for 1-2-3-5 Four-Step Ladder on a 200-unit bankroll tabulates a 8.93% risk-of-ruin figure, audits 1 ceiling-collision events against the 50-unit cap and a 46.68% mid-corridor finish rate.

M219 Parameter1-2-3-5 (200u)2-Shoe progression-curve
1-2-3-5 Ladder1-2-3-5 (4 steps)Peak 5u multiplier on M219
200u Stack Window144 hands (2 shoes)Barriers -100u / +50u
50u Ceiling & Ruin8.93% ruin vs 44.40% winDepth 6 steps (1 cap hits)
251u Handle & Hold2.95u ($74)Multiplier 1.74x (variance-scaled drift)
STEP ESCALATION & TURNOVER AUDIT

50u Ceiling Collisions & 1-2-3-5 Turnover (2 Shoes)

Cell M219-3 quantifies the eight-deck envelope of a 200-unit 1-2-3-5 plan over 144 hands: because each hand remains independent at 1.058% Banker edge, scaling stakes toward the 50-unit ceiling elevates total turnover to 251u and sets ruin at 8.93%.

Across 144 eight-deck hands (2 shoes), absorbing-barrier simulation M219-4 for 1-2-3-5 Four-Step Ladder on a 200-unit bankroll charts a 8.93% risk-of-ruin figure, verifies 1 ceiling-collision events against the 50-unit cap and a 46.68% mid-corridor finish rate.

  • Cell M219 rule: lock the -100u stop on your 200u 1-2-3-5 stack across 144 hands.
  • Matrix M219 tracks 2.95u ($74) in house hold over 251u of 1-2-3-5 action.
  • Scoreboard check M219: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (variance-scaled progression-curve) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 200 units to a 2-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 144 hands, 1-2-3-5 generates 251u in action, 2.95u in expected loss, and a 8.93% 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 144-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