Skip to main content
Baccarat Smart
  1. Home
  2. Combinatorial Math Hub
  3. 1-3-2-4 System (80H / 40u)
PROGRESSION SURVIVAL AUDIT · S1324S80

1-3-2-4 Conservative Sequence — 80-Hand Single Shoe (40u Bankroll) Survival & Ruin Proof

[S1324S80] Advances 1u, 3u, 2u, 4u across four wins (+10u full cycle), guaranteeing +2u net surplus even if the fourth step loses. 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 1-3-2-4 System on Banker (1.0579% house edge) generates 123.2 units of cumulative action, an expected mathematical cost of −1.30 units, ±12.77 units of standard deviation, and a 89.8% session survival rate (10.2% bankroll ruin risk).

S1324S80 Action
123.2u
S1324S80 Expected EV
-1.30u
S1324S80 Session SD
±12.77u
S1324S80 Survival
89.8%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

S1324S80 (1-3-2-4 System · 80H / 40u) scoreboard sample. Derived-road red/blue marks never alter S1324S80 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 3 has 1 bead. Column 2 has 1 bead. Same depth → red (=).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 2, 1 column further back.
  2. Column 3 has 1 bead. Column 2 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

Small Road Mark #2

Column 4 has 1 bead. Column 2 has 1 bead. Same depth → red (=).

  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 1 bead. Same depth → red (=).

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 1 bead. Same depth → red (=).

  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 1 bead. Same depth → red (=).

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

S1324S80 Staking Sequence
1-3-2-4

Advances 1u, 3u, 2u, 4u across four wins (+10u full cycle), guaranteeing +2u net surplus even if the fourth step loses (Protected Four-Stage Press).

S1324S80 Cumulative Action
123.2u wagered

80 hands × 1.54u average stake multiplier.

S1324S80 Expected Cost (EV)
-1.30u

Linear expectation across 123.2u action at 1.0579% Banker edge.

S1324S80 Session Dispersion
±12.77u SD

Volatility envelope over 80 deals against a 40u bankroll.

S1324S80 Survival / Ruin Split
89.8% / 10.2%

Trades 2 units of top-step upside compared to 1-3-2-6 in exchange for banking a +2u cushion as soon as step 2 wins.

S1324S80 STOCHASTIC HORIZON

1-3-2-4 System (S1324S80) Over 80 Hands With a 40-Unit Bankroll

[S1324S80-MECHANICS] Staking protocol S1324S80 applies 1-3-2-4 Conservative Sequence (1-3-2-4) on Banker across 80 hands with a 40-unit stop-loss. Advances 1u, 3u, 2u, 4u across four wins (+10u full cycle), guaranteeing +2u net surplus even if the fourth step loses. Complete 8-deck live shoe from burn card to cut card backed by a 40-unit session stack.

[S1324S80-EXPECTATION] By linearity of expectation, S1324S80 cannot alter the 8-deck 1.0579% Banker house edge: multiplying 123.2u cumulative action by −1.0579% locks in −1.30u expected drift with ±12.77u standard deviation. Trades 2 units of top-step upside compared to 1-3-2-6 in exchange for banking a +2u cushion as soon as step 2 wins. Remember that baccarat is an 18+ / 21+ game of chance; review /legal/responsible-gambling before setting session limits.

S1324S80 CheckpointS1324S80 HandsS1324S80 ActionS1324S80 EV DriftS1324S80 SD Band
S1324S80-Stage-116h [S1324S80]24.6u [S1324S80]-0.26u [S1324S80]±5.71u [S1324S80]
S1324S80-Stage-232h [S1324S80]49.3u [S1324S80]-0.52u [S1324S80]±8.08u [S1324S80]
S1324S80-Stage-348h [S1324S80]73.9u [S1324S80]-0.78u [S1324S80]±9.89u [S1324S80]
S1324S80-Stage-464h [S1324S80]98.6u [S1324S80]-1.04u [S1324S80]±11.43u [S1324S80]
S1324S80-Stage-580h [S1324S80]123.2u [S1324S80]-1.30u [S1324S80]±12.77u [S1324S80]
  • S1324S80 step sequence: 1-3-2-4 (1.54u mean bet size across 80 hands).
  • S1324S80 bankroll boundary: 40u starting stack faces 10.2% ruin risk and 89.8% survival probability.
  • S1324S80 road independence: Big Eye Boy and Small Road patterns on PBPBPBPP never change the −1.30u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning 1-3-2-4 System over 80 hands with 40 units changes the mathematical expectation of the shoe.
TruthEvery hand in S1324S80 faces the same 1.0579% Banker house edge; scaling bet sizes to 123.2u total action scales expected cost to −1.30u while reshaping variance (±12.77u 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