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PROGRESSION SURVIVAL AUDIT · FIBS160

Fibonacci Sequence (1-1-2-3-5-8-13) — 160-Hand Two-Shoe Session (50u Bankroll) Survival & Ruin Proof

[FIBS160] Advances one step right along the Fibonacci numbers after a loss and steps back two positions after a win. Across 160-Hand Two-Shoe Session (50u Bankroll) (Back-to-back two-shoe floor session testing progression endurance under a 50-unit stop-loss), staking Fibonacci on Player (1.2351% house edge) generates 380.8 units of cumulative action, an expected mathematical cost of −4.70 units, ±28.63 units of standard deviation, and a 79.7% session survival rate (20.3% bankroll ruin risk).

FIBS160 Action
380.8u
FIBS160 Expected EV
-4.70u
FIBS160 Session SD
±28.63u
FIBS160 Survival
79.7%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

FIBS160 (Fibonacci · 160H / 50u) scoreboard sample. Derived-road red/blue marks never alter FIBS160 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

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 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

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

FIBS160 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).

FIBS160 Cumulative Action
380.8u wagered

160 hands × 2.38u average stake multiplier.

FIBS160 Expected Cost (EV)
-4.70u

Linear expectation across 380.8u action at 1.2351% Player edge.

FIBS160 Session Dispersion
±28.63u SD

Volatility envelope over 160 deals against a 50u bankroll.

FIBS160 Survival / Ruin Split
79.7% / 20.3%

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.

FIBS160 STOCHASTIC HORIZON

Fibonacci (FIBS160) Over 160 Hands With a 50-Unit Bankroll

[FIBS160-MECHANICS] Staking protocol FIBS160 applies Fibonacci Sequence (1-1-2-3-5-8-13) (1-1-2-3-5-8-13) on Player across 160 hands with a 50-unit stop-loss. Advances one step right along the Fibonacci numbers after a loss and steps back two positions after a win. Back-to-back two-shoe floor session testing progression endurance under a 50-unit stop-loss.

[FIBS160-EXPECTATION] By linearity of expectation, FIBS160 cannot alter the 8-deck 1.2351% Player house edge: multiplying 380.8u cumulative action by −1.2351% locks in −4.70u expected drift with ±28.63u 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.

FIBS160 CheckpointFIBS160 HandsFIBS160 ActionFIBS160 EV DriftFIBS160 SD Band
FIBS160-Stage-132h [FIBS160]76.2u [FIBS160]-0.94u [FIBS160]±12.81u [FIBS160]
FIBS160-Stage-264h [FIBS160]152.3u [FIBS160]-1.88u [FIBS160]±18.11u [FIBS160]
FIBS160-Stage-396h [FIBS160]228.5u [FIBS160]-2.82u [FIBS160]±22.18u [FIBS160]
FIBS160-Stage-4128h [FIBS160]304.6u [FIBS160]-3.76u [FIBS160]±25.61u [FIBS160]
FIBS160-Stage-5160h [FIBS160]380.8u [FIBS160]-4.70u [FIBS160]±28.63u [FIBS160]
  • FIBS160 step sequence: 1-1-2-3-5-8-13 (2.38u mean bet size across 160 hands).
  • FIBS160 bankroll boundary: 50u starting stack faces 20.3% ruin risk and 79.7% survival probability.
  • FIBS160 road independence: Big Eye Boy and Small Road patterns on BBPPBPBP never change the −4.70u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning Fibonacci over 160 hands with 50 units changes the mathematical expectation of the shoe.
TruthEvery hand in FIBS160 faces the same 1.2351% Player house edge; scaling bet sizes to 380.8u total action scales expected cost to −4.70u while reshaping variance (±28.63u 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