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PROGRESSION SURVIVAL AUDIT · CDLS80

Contra D'Alembert (+1u Win / -1u Loss) — 80-Hand Single Shoe (40u Bankroll) Survival & Ruin Proof

[CDLS80] Adds +1 unit after each winning decision and subtracts −1 unit (down to 1u floor) after each loss. 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 Contra D'Alembert on Banker (1.0579% house edge) generates 142.4 units of cumulative action, an expected mathematical cost of −1.51 units, ±14.76 units of standard deviation, and a 88.2% session survival rate (11.8% bankroll ruin risk).

CDLS80 Action
142.4u
CDLS80 Expected EV
-1.51u
CDLS80 Session SD
±14.76u
CDLS80 Survival
88.2%
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 = = = ≠ ≠ ≠ = =

CDLS80 (Contra D'Alembert · 80H / 40u) scoreboard sample. Derived-road red/blue marks never alter CDLS80 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

CDLS80 Staking Sequence
1-2-3-4-3-2-1

Adds +1 unit after each winning decision and subtracts −1 unit (down to 1u floor) after each loss (Arithmetic Positive Progression).

CDLS80 Cumulative Action
142.4u wagered

80 hands × 1.78u average stake multiplier.

CDLS80 Expected Cost (EV)
-1.51u

Linear expectation across 142.4u action at 1.0579% Banker edge.

CDLS80 Session Dispersion
±14.76u SD

Volatility envelope over 80 deals against a 40u bankroll.

CDLS80 Survival / Ruin Split
88.2% / 11.8%

Scales exposure gradually during Banker clusters while keeping maximum drawdown far below geometric doubling plans.

CDLS80 STOCHASTIC HORIZON

Contra D'Alembert (CDLS80) Over 80 Hands With a 40-Unit Bankroll

[CDLS80-MECHANICS] Staking protocol CDLS80 applies Contra D'Alembert (+1u Win / -1u Loss) (1-2-3-4-3-2-1) on Banker across 80 hands with a 40-unit stop-loss. Adds +1 unit after each winning decision and subtracts −1 unit (down to 1u floor) after each loss. Complete 8-deck live shoe from burn card to cut card backed by a 40-unit session stack.

[CDLS80-EXPECTATION] By linearity of expectation, CDLS80 cannot alter the 8-deck 1.0579% Banker house edge: multiplying 142.4u cumulative action by −1.0579% locks in −1.51u expected drift with ±14.76u standard deviation. Scales exposure gradually during Banker clusters while keeping maximum drawdown far below geometric doubling plans. Remember that baccarat is an 18+ / 21+ game of chance; review /legal/responsible-gambling before setting session limits.

CDLS80 CheckpointCDLS80 HandsCDLS80 ActionCDLS80 EV DriftCDLS80 SD Band
CDLS80-Stage-116h [CDLS80]28.5u [CDLS80]-0.30u [CDLS80]±6.60u [CDLS80]
CDLS80-Stage-232h [CDLS80]57.0u [CDLS80]-0.60u [CDLS80]±9.34u [CDLS80]
CDLS80-Stage-348h [CDLS80]85.4u [CDLS80]-0.90u [CDLS80]±11.44u [CDLS80]
CDLS80-Stage-464h [CDLS80]113.9u [CDLS80]-1.21u [CDLS80]±13.21u [CDLS80]
CDLS80-Stage-580h [CDLS80]142.4u [CDLS80]-1.51u [CDLS80]±14.76u [CDLS80]
  • CDLS80 step sequence: 1-2-3-4-3-2-1 (1.78u mean bet size across 80 hands).
  • CDLS80 bankroll boundary: 40u starting stack faces 11.8% ruin risk and 88.2% survival probability.
  • CDLS80 road independence: Big Eye Boy and Small Road patterns on PPPBBBPP never change the −1.51u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning Contra D'Alembert over 80 hands with 40 units changes the mathematical expectation of the shoe.
TruthEvery hand in CDLS80 faces the same 1.0579% Banker house edge; scaling bet sizes to 142.4u total action scales expected cost to −1.51u while reshaping variance (±14.76u 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