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PROGRESSION SURVIVAL AUDIT · FIBS80

Fibonacci Sequence (1-1-2-3-5-8-13) — 80-Hand Single Shoe (40u Bankroll) Survival & Ruin Proof

[FIBS80] Advances one step right along the Fibonacci numbers after a loss and steps back two positions after a win. Across 80-Hand Single Shoe (40u Bankroll) (Complete 8-deck live shoe from burn card to cut card backed by a 40-unit session stack), staking Fibonacci on Player (1.2351% house edge) generates 190.4 units of cumulative action, an expected mathematical cost of −2.35 units, ±20.25 units of standard deviation, and a 83.6% session survival rate (16.4% bankroll ruin risk).

FIBS80 Action
190.4u
FIBS80 Expected EV
-2.35u
FIBS80 Session SD
±20.25u
FIBS80 Survival
83.6%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

FIBS80 (Fibonacci · 80H / 40u) scoreboard sample. Derived-road red/blue marks never alter FIBS80 progression expectation.

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

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

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

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

FIBS80 Staking Sequence
1-1-2-3-5-8-13

Advances one step right along the Fibonacci numbers after a loss and steps back two positions after a win (Linear-Recursive Negative Progression).

FIBS80 Cumulative Action
190.4u wagered

80 hands × 2.38u average stake multiplier.

FIBS80 Expected Cost (EV)
-2.35u

Linear expectation across 190.4u action at 1.2351% Player edge.

FIBS80 Session Dispersion
±20.25u SD

Volatility envelope over 80 deals against a 40u bankroll.

FIBS80 Survival / Ruin Split
83.6% / 16.4%

Grows slower than Martingale (golden-ratio factor 1.618× vs 2.0×) but requires roughly 33% wins just to tread water during extended choppy stretches.

FIBS80 STOCHASTIC HORIZON

Fibonacci (FIBS80) Over 80 Hands With a 40-Unit Bankroll

[FIBS80-MECHANICS] Staking protocol FIBS80 applies Fibonacci Sequence (1-1-2-3-5-8-13) (1-1-2-3-5-8-13) on Player across 80 hands with a 40-unit stop-loss. Advances one step right along the Fibonacci numbers after a loss and steps back two positions after a win. Complete 8-deck live shoe from burn card to cut card backed by a 40-unit session stack.

[FIBS80-EXPECTATION] By linearity of expectation, FIBS80 cannot alter the 8-deck 1.2351% Player house edge: multiplying 190.4u cumulative action by −1.2351% locks in −2.35u expected drift with ±20.25u standard deviation. Grows slower than Martingale (golden-ratio factor 1.618× vs 2.0×) but requires roughly 33% wins just to tread water during extended choppy stretches. Remember that baccarat is an 18+ / 21+ game of chance; review /legal/responsible-gambling before setting session limits.

FIBS80 CheckpointFIBS80 HandsFIBS80 ActionFIBS80 EV DriftFIBS80 SD Band
FIBS80-Stage-116h [FIBS80]38.1u [FIBS80]-0.47u [FIBS80]±9.05u [FIBS80]
FIBS80-Stage-232h [FIBS80]76.2u [FIBS80]-0.94u [FIBS80]±12.81u [FIBS80]
FIBS80-Stage-348h [FIBS80]114.2u [FIBS80]-1.41u [FIBS80]±15.68u [FIBS80]
FIBS80-Stage-464h [FIBS80]152.3u [FIBS80]-1.88u [FIBS80]±18.11u [FIBS80]
FIBS80-Stage-580h [FIBS80]190.4u [FIBS80]-2.35u [FIBS80]±20.25u [FIBS80]
  • FIBS80 step sequence: 1-1-2-3-5-8-13 (2.38u mean bet size across 80 hands).
  • FIBS80 bankroll boundary: 40u starting stack faces 16.4% ruin risk and 83.6% survival probability.
  • FIBS80 road independence: Big Eye Boy and Small Road patterns on PPBPPBPP never change the −2.35u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning Fibonacci over 80 hands with 40 units changes the mathematical expectation of the shoe.
TruthEvery hand in FIBS80 faces the same 1.2351% Player house edge; scaling bet sizes to 190.4u total action scales expected cost to −2.35u while reshaping variance (±20.25u SD).
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