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PROGRESSION SURVIVAL AUDIT · FIBS500

Fibonacci Sequence (1-1-2-3-5-8-13) — 500-Hand High-Limit Marathon (200u Bankroll) Survival & Ruin Proof

[FIBS500] Advances one step right along the Fibonacci numbers after a loss and steps back two positions after a win. Across 500-Hand High-Limit Marathon (200u Bankroll) (Six-shoe salon marathon exposing long-run house-edge drift against a 200-unit reserve), staking Fibonacci on Player (1.2351% house edge) generates 1190.0 units of cumulative action, an expected mathematical cost of −14.70 units, ±50.62 units of standard deviation, and a 80.3% session survival rate (19.7% bankroll ruin risk).

FIBS500 Action
1190.0u
FIBS500 Expected EV
-14.70u
FIBS500 Session SD
±50.62u
FIBS500 Survival
80.3%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

FIBS500 (Fibonacci · 500H / 200u) scoreboard sample. Derived-road red/blue marks never alter FIBS500 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 3. Column 1 has a bead at Row 3 too → red (=).

  1. Column 2 goes down to Row 3, so use Rule 2: look 1 column back, at Column 1.
  2. Column 1 has a bead at Row 3 too → red (=).

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 has a bead at Row 3 too → red (=).

  1. Column 3 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 has a bead at Row 3 too → red (=).

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 has a bead at Row 3 too → red (=).

  1. Column 4 goes down to Row 3, so use Rule 2: look 3 columns back, at Column 1.
  2. Column 1 has a bead at Row 3 too → red (=).

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

FIBS500 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).

FIBS500 Cumulative Action
1190.0u wagered

500 hands × 2.38u average stake multiplier.

FIBS500 Expected Cost (EV)
-14.70u

Linear expectation across 1190.0u action at 1.2351% Player edge.

FIBS500 Session Dispersion
±50.62u SD

Volatility envelope over 500 deals against a 200u bankroll.

FIBS500 Survival / Ruin Split
80.3% / 19.7%

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.

FIBS500 STOCHASTIC HORIZON

Fibonacci (FIBS500) Over 500 Hands With a 200-Unit Bankroll

[FIBS500-MECHANICS] Staking protocol FIBS500 applies Fibonacci Sequence (1-1-2-3-5-8-13) (1-1-2-3-5-8-13) on Player across 500 hands with a 200-unit stop-loss. Advances one step right along the Fibonacci numbers after a loss and steps back two positions after a win. Six-shoe salon marathon exposing long-run house-edge drift against a 200-unit reserve.

[FIBS500-EXPECTATION] By linearity of expectation, FIBS500 cannot alter the 8-deck 1.2351% Player house edge: multiplying 1190.0u cumulative action by −1.2351% locks in −14.70u expected drift with ±50.62u 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.

FIBS500 CheckpointFIBS500 HandsFIBS500 ActionFIBS500 EV DriftFIBS500 SD Band
FIBS500-Stage-1100h [FIBS500]238.0u [FIBS500]-2.94u [FIBS500]±22.64u [FIBS500]
FIBS500-Stage-2200h [FIBS500]476.0u [FIBS500]-5.88u [FIBS500]±32.01u [FIBS500]
FIBS500-Stage-3300h [FIBS500]714.0u [FIBS500]-8.82u [FIBS500]±39.21u [FIBS500]
FIBS500-Stage-4400h [FIBS500]952.0u [FIBS500]-11.76u [FIBS500]±45.27u [FIBS500]
FIBS500-Stage-5500h [FIBS500]1190.0u [FIBS500]-14.70u [FIBS500]±50.62u [FIBS500]
  • FIBS500 step sequence: 1-1-2-3-5-8-13 (2.38u mean bet size across 500 hands).
  • FIBS500 bankroll boundary: 200u starting stack faces 19.7% ruin risk and 80.3% survival probability.
  • FIBS500 road independence: Big Eye Boy and Small Road patterns on PPPBBBPP never change the −14.70u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning Fibonacci over 500 hands with 200 units changes the mathematical expectation of the shoe.
TruthEvery hand in FIBS500 faces the same 1.2351% Player house edge; scaling bet sizes to 1190.0u total action scales expected cost to −14.70u while reshaping variance (±50.62u 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