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PROGRESSION SURVIVAL AUDIT · S1235S50

1-2-3-5 Staircase Sequence — 50-Hand Sprint (20u Bankroll) Survival & Ruin Proof

[S1235S50] Steps up 1u, 2u, 3u, 5u on consecutive wins (+11u on four wins) and resets immediately to 1u on any loss. Across 50-Hand Sprint (20u Bankroll) (Fast 45-minute mini-baccarat or two-thirds shoe sprint with a compact 20-unit buy-in), staking 1-2-3-5 Staircase on Player (1.2351% house edge) generates 76.0 units of cumulative action, an expected mathematical cost of −0.94 units, ±10.22 units of standard deviation, and a 84.7% session survival rate (15.3% bankroll ruin risk).

S1235S50 Action
76.0u
S1235S50 Expected EV
-0.94u
S1235S50 Session SD
±10.22u
S1235S50 Survival
84.7%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

S1235S50 (1-2-3-5 Staircase · 50H / 20u) scoreboard sample. Derived-road red/blue marks never alter S1235S50 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

S1235S50 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).

S1235S50 Cumulative Action
76.0u wagered

50 hands × 1.52u average stake multiplier.

S1235S50 Expected Cost (EV)
-0.94u

Linear expectation across 76.0u action at 1.2351% Player edge.

S1235S50 Session Dispersion
±10.22u SD

Volatility envelope over 50 deals against a 20u bankroll.

S1235S50 Survival / Ruin Split
84.7% / 15.3%

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.

S1235S50 STOCHASTIC HORIZON

1-2-3-5 Staircase (S1235S50) Over 50 Hands With a 20-Unit Bankroll

[S1235S50-MECHANICS] Staking protocol S1235S50 applies 1-2-3-5 Staircase Sequence (1-2-3-5) on Player across 50 hands with a 20-unit stop-loss. Steps up 1u, 2u, 3u, 5u on consecutive wins (+11u on four wins) and resets immediately to 1u on any loss. Fast 45-minute mini-baccarat or two-thirds shoe sprint with a compact 20-unit buy-in.

[S1235S50-EXPECTATION] By linearity of expectation, S1235S50 cannot alter the 8-deck 1.2351% Player house edge: multiplying 76.0u cumulative action by −1.2351% locks in −0.94u expected drift with ±10.22u 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.

S1235S50 CheckpointS1235S50 HandsS1235S50 ActionS1235S50 EV DriftS1235S50 SD Band
S1235S50-Stage-110h [S1235S50]15.2u [S1235S50]-0.19u [S1235S50]±4.57u [S1235S50]
S1235S50-Stage-220h [S1235S50]30.4u [S1235S50]-0.38u [S1235S50]±6.47u [S1235S50]
S1235S50-Stage-330h [S1235S50]45.6u [S1235S50]-0.56u [S1235S50]±7.92u [S1235S50]
S1235S50-Stage-440h [S1235S50]60.8u [S1235S50]-0.75u [S1235S50]±9.14u [S1235S50]
S1235S50-Stage-550h [S1235S50]76.0u [S1235S50]-0.94u [S1235S50]±10.22u [S1235S50]
  • S1235S50 step sequence: 1-2-3-5 (1.52u mean bet size across 50 hands).
  • S1235S50 bankroll boundary: 20u starting stack faces 15.3% ruin risk and 84.7% survival probability.
  • S1235S50 road independence: Big Eye Boy and Small Road patterns on BBBPPPBB never change the −0.94u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning 1-2-3-5 Staircase over 50 hands with 20 units changes the mathematical expectation of the shoe.
TruthEvery hand in S1235S50 faces the same 1.2351% Player house edge; scaling bet sizes to 76.0u total action scales expected cost to −0.94u while reshaping variance (±10.22u 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