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PROGRESSION SURVIVAL AUDIT · FBKS250

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

[FBKS250] Wagers a constant 1 unit on Banker every hand regardless of prior wins or losses. Across 250-Hand Weekend Horizon (100u Bankroll) (Three-plus shoe weekend trip horizon backed by a full 100-unit session bankroll), staking Flat Banker on Banker (1.0579% house edge) generates 250.0 units of cumulative action, an expected mathematical cost of −2.64 units, ±14.66 units of standard deviation, and a 93.6% session survival rate (6.4% bankroll ruin risk).

FBKS250 Action
250.0u
FBKS250 Expected EV
-2.64u
FBKS250 Session SD
±14.66u
FBKS250 Survival
93.6%
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 = ≠ ≠ ≠ ≠

FBKS250 (Flat Banker · 250H / 100u) scoreboard sample. Derived-road red/blue marks never alter FBKS250 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

FBKS250 Staking Sequence
1-1-1-1-1

Wagers a constant 1 unit on Banker every hand regardless of prior wins or losses (Constant-Unit Baseline).

FBKS250 Cumulative Action
250.0u wagered

250 hands × 1.00u average stake multiplier.

FBKS250 Expected Cost (EV)
-2.64u

Linear expectation across 250.0u action at 1.0579% Banker edge.

FBKS250 Session Dispersion
±14.66u SD

Volatility envelope over 250 deals against a 100u bankroll.

FBKS250 Survival / Ruin Split
93.6% / 6.4%

Minimizes session variance and avoids table-limit traps while paying 1.0579% expected house hold per unit.

FBKS250 STOCHASTIC HORIZON

Flat Banker (FBKS250) Over 250 Hands With a 100-Unit Bankroll

[FBKS250-MECHANICS] Staking protocol FBKS250 applies Flat Betting Banker (1u Constant) (1-1-1-1-1) on Banker across 250 hands with a 100-unit stop-loss. Wagers a constant 1 unit on Banker every hand regardless of prior wins or losses. Three-plus shoe weekend trip horizon backed by a full 100-unit session bankroll.

[FBKS250-EXPECTATION] By linearity of expectation, FBKS250 cannot alter the 8-deck 1.0579% Banker house edge: multiplying 250.0u cumulative action by −1.0579% locks in −2.64u expected drift with ±14.66u standard deviation. Minimizes session variance and avoids table-limit traps while paying 1.0579% expected house hold per unit. Remember that baccarat is an 18+ / 21+ game of chance; review /legal/responsible-gambling before setting session limits.

FBKS250 CheckpointFBKS250 HandsFBKS250 ActionFBKS250 EV DriftFBKS250 SD Band
FBKS250-Stage-150h [FBKS250]50.0u [FBKS250]-0.53u [FBKS250]±6.56u [FBKS250]
FBKS250-Stage-2100h [FBKS250]100.0u [FBKS250]-1.06u [FBKS250]±9.27u [FBKS250]
FBKS250-Stage-3150h [FBKS250]150.0u [FBKS250]-1.59u [FBKS250]±11.36u [FBKS250]
FBKS250-Stage-4200h [FBKS250]200.0u [FBKS250]-2.12u [FBKS250]±13.12u [FBKS250]
FBKS250-Stage-5250h [FBKS250]250.0u [FBKS250]-2.64u [FBKS250]±14.66u [FBKS250]
  • FBKS250 step sequence: 1-1-1-1-1 (1.00u mean bet size across 250 hands).
  • FBKS250 bankroll boundary: 100u starting stack faces 6.4% ruin risk and 93.6% survival probability.
  • FBKS250 road independence: Big Eye Boy and Small Road patterns on BBBBPPPP never change the −2.64u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning Flat Banker over 250 hands with 100 units changes the mathematical expectation of the shoe.
TruthEvery hand in FBKS250 faces the same 1.0579% Banker house edge; scaling bet sizes to 250.0u total action scales expected cost to −2.64u while reshaping variance (±14.66u 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