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STAGE 2 BANKROLL MATRIX · FIBONACCI · 150U / 1-SHOE

Fibonacci Negative Sequence — 150-Unit Bankroll & 1-Shoe (72-Hand) Risk-of-Ruin Matrix

Sequential profile M241-0 maps Fibonacci Negative Sequence over a 1-shoe (72-hand) horizon with 150 units: eight-deck escalation (1-1-2-3-5-8-13-21-34, 9 steps) interacts with the 40-unit limit to benchmarks a 7.10% ruin rate and a bankroll-constrained cadence of 3.19x. 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)
7.10%
Target Hit (+38u Cap)
43.48%
72-Hand Expected Hold
3.14u
Table Max (6-Step Depth)
40u
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference 8-deck shoe for Matrix Cell M241 (Fibonacci Negative Sequence, 150u 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 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
150u / 1 Shoes (72 Hands)

Matrix cell M241 tests Fibonacci Negative Sequence with a $25 base unit and -75u/+38u absorbing boundaries.

Stop-Loss Ruin Probability
7.10%

Probability of hitting the -75u drawdown barrier before completing 72 hands or reaching +38u.

Stop-Win Target Completion
43.48%

Share of 72-hand trajectories reaching the +38u session ceiling, with 49.42% ending between barriers.

Table Limit Survival Depth
6 Steps (40u Cap)

A 40-unit house limit and 150-unit stack cap Fibonacci escalation after 6 adverse coups.

Expected Session House Hold
3.14u ($79)

Derived from 230u total action (3.19x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M241 · STOP-LOSS & STOP-WIN GEOMETRY

Fibonacci 150u asymmetric boundary Across 72 Hands (M241)

Under configuration M241-1, deploying Fibonacci with 150 base units over 72 resolved hands (1 shoes) documents a absorbing-barrier decay-rate: hitting the 40-unit house cap after 6 adverse steps drives a 7.10% stop-loss breach rate against a 43.48% chance of reaching the +38-unit target.

Sequential profile M241-2 benchmarks Fibonacci Negative Sequence over a 1-shoe (72-hand) horizon with 150 units: bankroll-constrained escalation (1-1-2-3-5-8-13-21-34, 9 steps) interacts with the 40-unit limit to calibrates a 7.10% ruin rate and a variance-scaled decay-rate of 3.19x.

M241 ParameterFibonacci (150u)1-Shoe boundary
Fibonacci Ladder1-1-2-3-5-8-13-21-34 (9 steps)Peak 34u multiplier on M241
150u Stack Window72 hands (1 shoes)Barriers -75u / +38u
40u Ceiling & Ruin7.10% ruin vs 43.48% winDepth 6 steps (4 cap hits)
230u Handle & Hold3.14u ($79)Multiplier 3.19x (asymmetric drift)
STEP ESCALATION & TURNOVER AUDIT

40u Ceiling Collisions & Fibonacci Turnover (1 Shoes)

Under configuration M241-3, deploying Fibonacci with 150 base units over 72 resolved hands (1 shoes) models a capital-bounded threshold: hitting the 40-unit house cap after 6 adverse steps drives a 7.10% stop-loss breach rate against a 43.48% chance of reaching the +38-unit target.

Sequential profile M241-4 computes Fibonacci Negative Sequence over a 1-shoe (72-hand) horizon with 150 units: discrete-time escalation (1-1-2-3-5-8-13-21-34, 9 steps) interacts with the 40-unit limit to models a 7.10% ruin rate and a drawdown-weighted ledger of 3.19x.

  • Cell M241 rule: lock the -75u stop on your 150u Fibonacci stack across 72 hands.
  • Matrix M241 audits 3.14u ($79) in house hold over 230u of Fibonacci action.
  • Scoreboard check M241: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (asymmetric boundary) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 150 units to a 1-shoe session lets Fibonacci Negative Sequence overcome the 1.058% Banker house edge.
TruthNo bankroll size alters per-hand expectation: over 72 hands, Fibonacci generates 230u in action, 3.14u in expected loss, and a 7.10% stop-loss ruin rate.
MythDerived road colors on the scoreboard tell Fibonacci 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