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PROGRESSION SURVIVAL AUDIT · CDLS250

Contra D'Alembert (+1u Win / -1u Loss) — 250-Hand Weekend Horizon (100u Bankroll) Survival & Ruin Proof

[CDLS250] Adds +1 unit after each winning decision and subtracts −1 unit (down to 1u floor) after each loss. Across 250-Hand Weekend Horizon (100u Bankroll) (Three-plus shoe weekend trip horizon backed by a full 100-unit session bankroll), staking Contra D'Alembert on Banker (1.0579% house edge) generates 445.0 units of cumulative action, an expected mathematical cost of −4.71 units, ±26.10 units of standard deviation, and a 88.6% session survival rate (11.4% bankroll ruin risk).

CDLS250 Action
445.0u
CDLS250 Expected EV
-4.71u
CDLS250 Session SD
±26.10u
CDLS250 Survival
88.6%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

CDLS250 (Contra D'Alembert · 250H / 100u) scoreboard sample. Derived-road red/blue marks never alter CDLS250 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

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

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 2 beads. Column 1 has 4 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

CDLS250 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).

CDLS250 Cumulative Action
445.0u wagered

250 hands × 1.78u average stake multiplier.

CDLS250 Expected Cost (EV)
-4.71u

Linear expectation across 445.0u action at 1.0579% Banker edge.

CDLS250 Session Dispersion
±26.10u SD

Volatility envelope over 250 deals against a 100u bankroll.

CDLS250 Survival / Ruin Split
88.6% / 11.4%

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

CDLS250 STOCHASTIC HORIZON

Contra D'Alembert (CDLS250) Over 250 Hands With a 100-Unit Bankroll

[CDLS250-MECHANICS] Staking protocol CDLS250 applies Contra D'Alembert (+1u Win / -1u Loss) (1-2-3-4-3-2-1) on Banker across 250 hands with a 100-unit stop-loss. Adds +1 unit after each winning decision and subtracts −1 unit (down to 1u floor) after each loss. Three-plus shoe weekend trip horizon backed by a full 100-unit session bankroll.

[CDLS250-EXPECTATION] By linearity of expectation, CDLS250 cannot alter the 8-deck 1.0579% Banker house edge: multiplying 445.0u cumulative action by −1.0579% locks in −4.71u expected drift with ±26.10u 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.

CDLS250 CheckpointCDLS250 HandsCDLS250 ActionCDLS250 EV DriftCDLS250 SD Band
CDLS250-Stage-150h [CDLS250]89.0u [CDLS250]-0.94u [CDLS250]±11.67u [CDLS250]
CDLS250-Stage-2100h [CDLS250]178.0u [CDLS250]-1.88u [CDLS250]±16.51u [CDLS250]
CDLS250-Stage-3150h [CDLS250]267.0u [CDLS250]-2.82u [CDLS250]±20.22u [CDLS250]
CDLS250-Stage-4200h [CDLS250]356.0u [CDLS250]-3.77u [CDLS250]±23.34u [CDLS250]
CDLS250-Stage-5250h [CDLS250]445.0u [CDLS250]-4.71u [CDLS250]±26.10u [CDLS250]
  • CDLS250 step sequence: 1-2-3-4-3-2-1 (1.78u mean bet size across 250 hands).
  • CDLS250 bankroll boundary: 100u starting stack faces 11.4% ruin risk and 88.6% survival probability.
  • CDLS250 road independence: Big Eye Boy and Small Road patterns on BBBBPPPP never change the −4.71u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning Contra D'Alembert over 250 hands with 100 units changes the mathematical expectation of the shoe.
TruthEvery hand in CDLS250 faces the same 1.0579% Banker house edge; scaling bet sizes to 445.0u total action scales expected cost to −4.71u while reshaping variance (±26.10u 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