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PROGRESSION SURVIVAL AUDIT · FPLS250

Flat Betting Player (1u Constant) — 250-Hand Weekend Horizon (100u Bankroll) Survival & Ruin Proof

[FPLS250] Wagers a constant 1 unit on Player every hand with even-money 1:1 settlement and zero vig breakage. Across 250-Hand Weekend Horizon (100u Bankroll) (Three-plus shoe weekend trip horizon backed by a full 100-unit session bankroll), staking Flat Player on Player (1.2351% house edge) generates 250.0 units of cumulative action, an expected mathematical cost of −3.09 units, ±15.04 units of standard deviation, and a 93.1% session survival rate (6.9% bankroll ruin risk).

FPLS250 Action
250.0u
FPLS250 Expected EV
-3.09u
FPLS250 Session SD
±15.04u
FPLS250 Survival
93.1%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

FPLS250 (Flat Player · 250H / 100u) scoreboard sample. Derived-road red/blue marks never alter FPLS250 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 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

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

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

  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 2 beads. Same depth → red (=).

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

FPLS250 Staking Sequence
1-1-1-1-1

Wagers a constant 1 unit on Player every hand with even-money 1:1 settlement and zero vig breakage (Constant-Unit Baseline).

FPLS250 Cumulative Action
250.0u wagered

250 hands × 1.00u average stake multiplier.

FPLS250 Expected Cost (EV)
-3.09u

Linear expectation across 250.0u action at 1.2351% Player edge.

FPLS250 Session Dispersion
±15.04u SD

Volatility envelope over 250 deals against a 100u bankroll.

FPLS250 Survival / Ruin Split
93.1% / 6.9%

Eliminates 5% commission accounting at the cost of a 1.2351% house edge per unit staked.

FPLS250 STOCHASTIC HORIZON

Flat Player (FPLS250) Over 250 Hands With a 100-Unit Bankroll

[FPLS250-MECHANICS] Staking protocol FPLS250 applies Flat Betting Player (1u Constant) (1-1-1-1-1) on Player across 250 hands with a 100-unit stop-loss. Wagers a constant 1 unit on Player every hand with even-money 1:1 settlement and zero vig breakage. Three-plus shoe weekend trip horizon backed by a full 100-unit session bankroll.

[FPLS250-EXPECTATION] By linearity of expectation, FPLS250 cannot alter the 8-deck 1.2351% Player house edge: multiplying 250.0u cumulative action by −1.2351% locks in −3.09u expected drift with ±15.04u standard deviation. Eliminates 5% commission accounting at the cost of a 1.2351% house edge per unit staked. Remember that baccarat is an 18+ / 21+ game of chance; review /legal/responsible-gambling before setting session limits.

FPLS250 CheckpointFPLS250 HandsFPLS250 ActionFPLS250 EV DriftFPLS250 SD Band
FPLS250-Stage-150h [FPLS250]50.0u [FPLS250]-0.62u [FPLS250]±6.73u [FPLS250]
FPLS250-Stage-2100h [FPLS250]100.0u [FPLS250]-1.24u [FPLS250]±9.51u [FPLS250]
FPLS250-Stage-3150h [FPLS250]150.0u [FPLS250]-1.85u [FPLS250]±11.65u [FPLS250]
FPLS250-Stage-4200h [FPLS250]200.0u [FPLS250]-2.47u [FPLS250]±13.45u [FPLS250]
FPLS250-Stage-5250h [FPLS250]250.0u [FPLS250]-3.09u [FPLS250]±15.04u [FPLS250]
  • FPLS250 step sequence: 1-1-1-1-1 (1.00u mean bet size across 250 hands).
  • FPLS250 bankroll boundary: 100u starting stack faces 6.9% ruin risk and 93.1% survival probability.
  • FPLS250 road independence: Big Eye Boy and Small Road patterns on PPBBPPBB never change the −3.09u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning Flat Player over 250 hands with 100 units changes the mathematical expectation of the shoe.
TruthEvery hand in FPLS250 faces the same 1.2351% Player house edge; scaling bet sizes to 250.0u total action scales expected cost to −3.09u while reshaping variance (±15.04u 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