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SHOE PENETRATION & DEPLETION [DEP231] · 40% DEPTH

Three (3) Depletion at 166/416 Cards (40%): B6 Draw 6-7 Gate Impact #231

In shoe-depletion analysis DEP231, 166 of 416 cards (40%) have exited the shoe, leaving 15 copies of Three (3) among 250 unseen cards (6.00% vs baseline 7.69%) and shifting B6 Draw 6-7 Gate frequency by -24 bps.

DEP231 Shoe Depth
166/416 (40%)
DEP231 3 Density
15/250 (6.00%)
DEP231 Draw Delta
-24 bps
DEP231 Tableau Gate
B6vP8:STAND
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 40% shoe-penetration state DEP231 (Three (3) -> 15/250).

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 #3

Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  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 2 beads. Different depth → blue (≠).

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

Small Road Mark #3

This bead is at Row 3. Column 2 stopped at Row 2, one row above → blue (≠).

  1. Column 4 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 stopped at Row 2, 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.

Cockroach Pig Mark #3

Column 4 has 3 beads. Column 1 has 2 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 3 beads. Column 1 has 2 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

DEP231 Penetration Depth
166 Dealt / 250 Remaining (40%)

Evaluated at Mid-Early Penetration (3.2 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP231 Rank 3 Supply
15 of 32 Remaining (6.00%)

Compares depleted density 6.00% against fresh 8-deck baseline 7.69% for Three (3).

DEP231 Player Draw vs Banker Stand Shift
P-Draw -24 bps / B-Stand 28 bps

Net basis-point movement in Player 0..5 fifth-card drawing vs Banker standing frequency.

DEP231 Fixed Tableau Gate
BANKER_TABLEAU[6][8] = false

Card removal alters entry probabilities into (6, 8) but never alters the fixed STAND rule.

DEP231 Sample Coup Resolution
P(10+2)+8=0 vs B(2+4)=6 (B)

Verified 5-card hand via resolveHand() at penetration checkpoint DEP231.

COMBINATORIAL DEPLETION · DEP231

How Removing Three (3) at 166 Cards Affects B6 Draw 6-7 Gate (DEP231)

Composition analysis [DEP231] measures Three (3) scarcity at 166/416 cards: 15 left in 250 (6.00% vs 7.69%) changes arrival rates into the Banker 6 two-value sixth-card trigger against 6 or 7.

[DEP231-B] Thinning Three (3) (3 pts) in [DEP231] produces a -24-bps Player draw delta and 28-bps Banker stand delta; nevertheless, Banker 6 facing 8 always stands pat on five cards.

Depletion Matrix for DEP231 (Three (3) at 166/416 Cards)
DEP231 MetricDEP231 Fresh 416-ShoeDEP231 At 166 DealtDEP231 Tableau Effect
[DEP231:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP231:Rank]32/416 (7.69%)15/250 (6.00%)Point Value 3
[DEP231:Shift]Baseline Draw/StandP -24 bps / B 28 bpsB6 Draw 6-7 Gate
[DEP231:Hand]P=2 vs B=6, P3=8P=0 vs B=65c (B)
  • [DEP231-1] Verify [DEP231] 250 unseen cards remain after 166/416 exit.
  • [DEP231-2] Compare [DEP231] Three (3) density (15/250=6.00%) vs 7.69%.
  • [DEP231-3] Apply [DEP231] BANKER_TABLEAU[6][8]=false (5c B).
INDEPENDENCE & ROAD LOGGING · DEP231

Why DEP231 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP231-C3] Auditioning [DEP231] at depth, Player opens 2 + 8 -> 0 while Banker opens 6 -> 6 across 5c (B in [DEP231]). Across [DEP231] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP231] PPBBPBBBPP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Three (3) is depleted to 15/250 in DEP231, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[6][8] remains false at every shoe depth.
MythDeep shoe penetration at 166/416 cards in DEP231 makes Red on Big Eye Boy mean Banker.
TruthOn Big Eye Boy, Small Road, and Cockroach Pig, Red (=) always signals repeating Big Road structure and Blue (≠) signals a break.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

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  • 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