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STAGE 2 BANKROLL MATRIX · FIBONACCI · 40U / 10-SHOE

Fibonacci Negative Sequence — 40-Unit Bankroll & 10-Shoe (720-Hand) Risk-of-Ruin Matrix

Case M233-0 tabulates the session-bounded Fibonacci Negative Sequence (1-1-2-3-5-8-13-21-34) across a 40-unit bankroll and a 720-hand (10-shoe) window, where a 100-unit table ceiling and 20-unit stop-loss produce a 94.80% ruin rate while evaluates an average stake turnover of 1.58x and 15.53u ($1553) in theoretical house-edge toll. 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 (-20u Stop)
94.80%
Target Hit (+10u Cap)
19.94%
720-Hand Expected Hold
15.53u
Table Max (6-Step Depth)
100u
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 M233 (Fibonacci Negative Sequence, 40u 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

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
40u / 10 Shoes (720 Hands)

Matrix cell M233 tests Fibonacci Negative Sequence with a $100 base unit and -20u/+10u absorbing boundaries.

Stop-Loss Ruin Probability
94.80%

Probability of hitting the -20u drawdown barrier before completing 720 hands or reaching +10u.

Stop-Win Target Completion
19.94%

Share of 720-hand trajectories reaching the +10u session ceiling, with 0.50% ending between barriers.

Table Limit Survival Depth
6 Steps (100u Cap)

A 100-unit house limit and 40-unit stack cap Fibonacci escalation after 6 adverse coups.

Expected Session House Hold
15.53u ($1553)

Derived from 1138u total action (1.58x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M233 · STOP-LOSS & STOP-WIN GEOMETRY

Fibonacci 40u house-edge-anchored cadence Across 720 Hands (M233)

In variance-scaled benchmark M233-1, running Fibonacci across 720 deals with 40 units and a 100-unit maximum wager quantifies 1138u of total handle, 15.53u in commission-weighted drift, and a 94.80% probability of exhausting the 20-unit drawdown buffer.

Case M233-2 charts the step-indexed Fibonacci Negative Sequence (1-1-2-3-5-8-13-21-34) across a 40-unit bankroll and a 720-hand (10-shoe) window, where a 100-unit table ceiling and 20-unit stop-loss produce a 94.80% ruin rate while inspects an average stake decay-rate of 1.58x and 15.53u ($1553) in theoretical house-edge toll.

M233 ParameterFibonacci (40u)10-Shoe cadence
Fibonacci Ladder1-1-2-3-5-8-13-21-34 (9 steps)Peak 34u multiplier on M233
40u Stack Window720 hands (10 shoes)Barriers -20u / +10u
100u Ceiling & Ruin94.80% ruin vs 19.94% winDepth 6 steps (17 cap hits)
1138u Handle & Hold15.53u ($1553)Multiplier 1.58x (house-edge-anchored drift)
STEP ESCALATION & TURNOVER AUDIT

100u Ceiling Collisions & Fibonacci Turnover (10 Shoes)

In eight-deck benchmark M233-3, running Fibonacci across 720 deals with 40 units and a 100-unit maximum wager profiles 1138u of total handle, 15.53u in commission-weighted drift, and a 94.80% probability of exhausting the 20-unit drawdown buffer.

Case M233-4 calibrates the absorbing-barrier Fibonacci Negative Sequence (1-1-2-3-5-8-13-21-34) across a 40-unit bankroll and a 720-hand (10-shoe) window, where a 100-unit table ceiling and 20-unit stop-loss produce a 94.80% ruin rate while audits an average stake threshold of 1.58x and 15.53u ($1553) in theoretical house-edge toll.

  • Cell M233 rule: lock the -20u stop on your 40u Fibonacci stack across 720 hands.
  • Matrix M233 benchmarks 15.53u ($1553) in house hold over 1138u of Fibonacci action.
  • Scoreboard check M233: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (house-edge-anchored cadence) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 40 units to a 10-shoe session lets Fibonacci Negative Sequence overcome the 1.058% Banker house edge.
TruthNo bankroll size alters per-hand expectation: over 720 hands, Fibonacci generates 1138u in action, 15.53u in expected loss, and a 94.80% stop-loss ruin rate.
MythDerived road colors on the scoreboard tell Fibonacci 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