Skip to main content
Baccarat Smart
  1. Home
  2. Combinatorial Math & Odds Hub
  3. Rev Fibonacci 40u 3-Shoe Matrix
STAGE 2 BANKROLL MATRIX · REV FIBONACCI · 40U / 3-SHOE

Reverse Fibonacci Press — 40-Unit Bankroll & 3-Shoe (216-Hand) Risk-of-Ruin Matrix

For a 40-unit roll spanning 216 hands (3 shoes), Reverse Fibonacci Press (1-1-2-3-5-8-13) evaluates a finite-shoe drawdown-slope under matrix M257-0, where the 60-unit table roof and -20u/+10u barriers yield 62.08% ruin versus 28.69% 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 (-20u Stop)
62.08%
Target Hit (+10u Cap)
28.69%
216-Hand Expected Hold
3.55u
Table Max (6-Step Depth)
60u
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference 8-deck shoe for Matrix Cell M257 (Reverse Fibonacci Press, 40u bankroll, 216 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

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 2 goes down to Row 3, so use Rule 2: look 1 column 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.

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

Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

Session Bankroll & Horizon
40u / 3 Shoes (216 Hands)

Matrix cell M257 tests Reverse Fibonacci Press with a $50 base unit and -20u/+10u absorbing boundaries.

Stop-Loss Ruin Probability
62.08%

Probability of hitting the -20u drawdown barrier before completing 216 hands or reaching +10u.

Stop-Win Target Completion
28.69%

Share of 216-hand trajectories reaching the +10u session ceiling, with 9.22% ending between barriers.

Table Limit Survival Depth
6 Steps (60u Cap)

A 60-unit house limit and 40-unit stack cap Rev Fibonacci escalation after 6 adverse coups.

Expected Session House Hold
3.55u ($178)

Derived from 289u total action (1.34x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M257 · STOP-LOSS & STOP-WIN GEOMETRY

Rev Fibonacci 40u variance-scaled stake-velocity Across 216 Hands (M257)

Combinatorial ledger M257-1 audits Rev Fibonacci (1-1-2-3-5-8-13) at 40 units and 216 hands (3 shoes), proving that a 60-unit table ceiling and 1.34x average bet multiplier yield 62.08% ruin probability and 3.55u in theoretical house hold.

For a 40-unit roll spanning 216 hands (3 shoes), Reverse Fibonacci Press (1-1-2-3-5-8-13) tracks a variance-scaled volatility-band under matrix M257-2, where the 60-unit table roof and -20u/+10u barriers yield 62.08% ruin versus 28.69% upside completion.

M257 ParameterRev Fibonacci (40u)3-Shoe stake-velocity
Rev Fibonacci Ladder1-1-2-3-5-8-13 (7 steps)Peak 13u multiplier on M257
40u Stack Window216 hands (3 shoes)Barriers -20u / +10u
60u Ceiling & Ruin62.08% ruin vs 28.69% winDepth 6 steps (3 cap hits)
289u Handle & Hold3.55u ($178)Multiplier 1.34x (variance-scaled drift)
STEP ESCALATION & TURNOVER AUDIT

60u Ceiling Collisions & Rev Fibonacci Turnover (3 Shoes)

Combinatorial ledger M257-3 measures Rev Fibonacci (1-1-2-3-5-8-13) at 40 units and 216 hands (3 shoes), proving that a 60-unit table ceiling and 1.34x average bet multiplier yield 62.08% ruin probability and 3.55u in theoretical house hold.

For a 40-unit roll spanning 216 hands (3 shoes), Reverse Fibonacci Press (1-1-2-3-5-8-13) maps a eight-deck survival-window under matrix M257-4, where the 60-unit table roof and -20u/+10u barriers yield 62.08% ruin versus 28.69% upside completion.

  • Cell M257 rule: lock the -20u stop on your 40u Rev Fibonacci stack across 216 hands.
  • Matrix M257 computes 3.55u ($178) in house hold over 289u of Rev Fibonacci action.
  • Scoreboard check M257: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (variance-scaled stake-velocity) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 40 units to a 3-shoe session lets Reverse Fibonacci Press overcome the 1.058% Banker house edge.
TruthNo bankroll size alters per-hand expectation: over 216 hands, Rev Fibonacci generates 289u in action, 3.55u in expected loss, and a 62.08% stop-loss ruin rate.
MythDerived road colors on the scoreboard tell Rev Fibonacci bettors whether Banker (red) or Player (blue) is due during a 216-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