Skip to main content
Baccarat Smart
  1. Home
  2. Combinatorial Math & Odds Hub
  3. Fibonacci vs Flat Betting (No-Comm Streak)
STAGE 2 STRESS TEST · FIBONACCI VS FLAT BETTING

Fibonacci Negative Sequence vs. Flat 1-Unit Baseline — 11-Hand Banker Run under No-Commission Banker 6 Half-Pay (74-Hand Stress Test)

Head-to-head matrix S175-0 subjects Fibonacci (1-1-2-3-5-8-13-21-34) and Flat Betting (1-1-1-1 constant unit) to 74 hands of No-Comm Streak (streak) with 90 units and a 65-unit roof, maps 3.12u versus 1.12u in mathematical house hold and 12.10% versus 4.92% ruin. Because every 8-deck coup is statistically independent under No-Commission Banker 6 (0.50:1 on 6) (1.4579% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.

Fibonacci Ruin Rate
12.10%
Flat Betting Ruin Rate
4.92%
Peak Trough (11-Run)
-54u
No-Comm Streak House Edge
1.4579%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference 8-deck shoe for Stress Cell S175 (Fibonacci vs Flat Betting, 11-Hand Banker Run under No-Commission Banker 6 Half-Pay). Big Road shows Banker (red) and Player (blue); derived roads track 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 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

Matchup & Shoe Profile
Fibonacci vs Flat Betting (No-Comm Streak)

Stress cell S175 compares 1-1-2-3-5-8-13-21-34 against 1-1-1-1 constant unit over 74 hands.

Head-to-Head Ruin Rate
12.10% vs 4.92%

Probability of exhausting the 90-unit bankroll under a 65-unit house bet limit.

Expected Session Hold
3.12u vs 1.12u

Theoretical erosion under No-Commission Banker 6 (0.50:1 on 6) (1.4579% house edge) across 74 coups.

Peak Drawdown Excursion
-54u vs -24u

Deepest unit trough triggered by a 11-hand run inside the streak shoe profile.

Tie Stalls & Commission Toll
6 Ties · 1.93u Drag

Reflects 8.11% tie frequency (6 pushes) and 1.93u in vigorish friction.

STRESS CELL S175 · STREAK SHOE PROFILE

Fibonacci vs. Flat Betting capital-bounded stake-velocity (74 Hands · S175)

Combinatorial stress ledger S175-1 evaluates Fibonacci Negative Sequence versus Flat 1-Unit Baseline across 74 coups (90u bankroll, 65u max bet), demonstrating that 1.4579% house edge and 11-hand runs enforce 12.10% vs 4.92% ruin along the bankroll-constrained boundary.

Head-to-head matrix S175-2 subjects Fibonacci (1-1-2-3-5-8-13-21-34) and Flat Betting (1-1-1-1 constant unit) to 74 hands of No-Comm Streak (streak) with 90 units and a 65-unit roof, charts 3.12u versus 1.12u in mathematical house hold and 12.10% versus 4.92% ruin.

S175 stake-velocityFibonacciFlat Betting
Fibonacci / Flat Betting Rule1-1-2-3-5-8-13-21-341-1-1-1 constant unit
74-Hand Ruin (90u)12.10%4.92%
No-Comm Streak Hold (1.4579%)3.12u1.12u
11-Run Trough (65u Cap)-54u-24u
VIGORISH & TABLE CEILING INTERACTION

No-Comm Streak Vigorish (1.93u) & 8.11% Tie Push Audit (S175)

Combinatorial stress ledger S175-3 inspects Fibonacci Negative Sequence versus Flat 1-Unit Baseline across 74 coups (90u bankroll, 65u max bet), demonstrating that 1.4579% house edge and 11-hand runs enforce 12.10% vs 4.92% ruin along the absorbing-barrier dispersion.

Head-to-head matrix S175-4 subjects Fibonacci (1-1-2-3-5-8-13-21-34) and Flat Betting (1-1-1-1 constant unit) to 74 hands of No-Comm Streak (streak) with 90 units and a 65-unit roof, documents 3.12u versus 1.12u in mathematical house hold and 12.10% versus 4.92% ruin.

  • Trial S175: set a 90u stop before running Fibonacci vs Flat Betting over 74 hands.
  • Scenario S175 computes 1.93u in commission drag and 6 tie pushes (8.11% Tie rate).
  • Board rule S175: derived road red marks capital-bounded column repetition and blue marks a structural break (stake-velocity), never Banker or Player.
Table Reality Check

Myth vs. Truth

MythSwitching from Flat Betting to Fibonacci during 11-Hand Banker Run under No-Commission Banker 6 Half-Pay neutralizes the 1.4579% house edge.
TruthOver 74 hands on a 90-unit stack, Fibonacci carries 3.12u expected loss (12.10% ruin) vs 1.12u (4.92% ruin) for Flat Betting.
MythDuring a 11-hand streak sequence, red marks on Big Eye Boy or Small Road indicate Banker is favored next.
TruthDerived road colors never represent Banker or Player: red denotes repeatingBig Road structure and blue denotes breaking structure.
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