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PROGRESSION SURVIVAL AUDIT · S1235S80

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

[S1235S80] Steps up 1u, 2u, 3u, 5u on consecutive wins (+11u on four wins) and resets immediately to 1u on any 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 1-2-3-5 Staircase on Player (1.2351% house edge) generates 121.6 units of cumulative action, an expected mathematical cost of −1.50 units, ±12.93 units of standard deviation, and a 89.5% session survival rate (10.5% bankroll ruin risk).

S1235S80 Action
121.6u
S1235S80 Expected EV
-1.50u
S1235S80 Session SD
±12.93u
S1235S80 Survival
89.5%
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 ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ ≠ ≠ ≠

S1235S80 (1-2-3-5 Staircase · 80H / 40u) scoreboard sample. Derived-road red/blue marks never alter S1235S80 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

S1235S80 Staking Sequence
1-2-3-5

Steps up 1u, 2u, 3u, 5u on consecutive wins (+11u on four wins) and resets immediately to 1u on any loss (Stepped Positive Progression).

S1235S80 Cumulative Action
121.6u wagered

80 hands × 1.52u average stake multiplier.

S1235S80 Expected Cost (EV)
-1.50u

Linear expectation across 121.6u action at 1.2351% Player edge.

S1235S80 Session Dispersion
±12.93u SD

Volatility envelope over 80 deals against a 40u bankroll.

S1235S80 Survival / Ruin Split
89.5% / 10.5%

Smooths out step-2 exposure (2u instead of 3u in 1-3-2-6), lowering two-hand variance across short 50-to-80 hand sessions.

S1235S80 STOCHASTIC HORIZON

1-2-3-5 Staircase (S1235S80) Over 80 Hands With a 40-Unit Bankroll

[S1235S80-MECHANICS] Staking protocol S1235S80 applies 1-2-3-5 Staircase Sequence (1-2-3-5) on Player across 80 hands with a 40-unit stop-loss. Steps up 1u, 2u, 3u, 5u on consecutive wins (+11u on four wins) and resets immediately to 1u on any loss. Complete 8-deck live shoe from burn card to cut card backed by a 40-unit session stack.

[S1235S80-EXPECTATION] By linearity of expectation, S1235S80 cannot alter the 8-deck 1.2351% Player house edge: multiplying 121.6u cumulative action by −1.2351% locks in −1.50u expected drift with ±12.93u standard deviation. Smooths out step-2 exposure (2u instead of 3u in 1-3-2-6), lowering two-hand variance across short 50-to-80 hand sessions. Remember that baccarat is an 18+ / 21+ game of chance; review /legal/responsible-gambling before setting session limits.

S1235S80 CheckpointS1235S80 HandsS1235S80 ActionS1235S80 EV DriftS1235S80 SD Band
S1235S80-Stage-116h [S1235S80]24.3u [S1235S80]-0.30u [S1235S80]±5.78u [S1235S80]
S1235S80-Stage-232h [S1235S80]48.6u [S1235S80]-0.60u [S1235S80]±8.18u [S1235S80]
S1235S80-Stage-348h [S1235S80]73.0u [S1235S80]-0.90u [S1235S80]±10.02u [S1235S80]
S1235S80-Stage-464h [S1235S80]97.3u [S1235S80]-1.20u [S1235S80]±11.57u [S1235S80]
S1235S80-Stage-580h [S1235S80]121.6u [S1235S80]-1.50u [S1235S80]±12.93u [S1235S80]
  • S1235S80 step sequence: 1-2-3-5 (1.52u mean bet size across 80 hands).
  • S1235S80 bankroll boundary: 40u starting stack faces 10.5% ruin risk and 89.5% survival probability.
  • S1235S80 road independence: Big Eye Boy and Small Road patterns on PPBPPBPP never change the −1.50u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning 1-2-3-5 Staircase over 80 hands with 40 units changes the mathematical expectation of the shoe.
TruthEvery hand in S1235S80 faces the same 1.2351% Player house edge; scaling bet sizes to 121.6u total action scales expected cost to −1.50u while reshaping variance (±12.93u 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