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SHOE PENETRATION & DEPLETION [DEP168] · 40% DEPTH

Zero-Value Group (10/J/Q/K) Depletion at 166/416 Cards (40%): B5 Draw 4-7 Gate Impact #168

In shoe-depletion analysis DEP168, 166 of 416 cards (40%) have exited the shoe, leaving 72 copies of Zero-Value Group (10/J/Q/K) among 250 unseen cards (28.80% vs baseline 30.77%) and shifting B5 Draw 4-7 Gate frequency by -42 bps.

DEP168 Shoe Depth
166/416 (40%)
DEP168 0s Density
72/250 (28.80%)
DEP168 Draw Delta
-42 bps
DEP168 Tableau Gate
B5vP7:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 40% shoe-penetration state DEP168 (Zero-Value Group (10/J/Q/K) -> 72/250).

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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

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.

Small Road Mark #3

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

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

DEP168 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.

DEP168 Rank 0s Supply
72 of 128 Remaining (28.80%)

Compares depleted density 28.80% against fresh 8-deck baseline 30.77% for Zero-Value Group (10/J/Q/K).

DEP168 Player Draw vs Banker Stand Shift
P-Draw -42 bps / B-Stand 12 bps

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

DEP168 Fixed Tableau Gate
BANKER_TABLEAU[5][7] = true

Card removal alters entry probabilities into (5, 7) but never alters the fixed DRAW rule.

DEP168 Sample Coup Resolution
P(A+4)+7=2 vs B(2+3)=7 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP168.

COMBINATORIAL DEPLETION · DEP168

How Removing Zero-Value Group (10/J/Q/K) at 166 Cards Affects B5 Draw 4-7 Gate (DEP168)

Under combinatorial state [DEP168] (40% penetration, 250 cards remaining), Zero-Value Group (10/J/Q/K) concentration stands at 72/250 (28.80% vs 30.77%), altering how often the Banker 5 four-value draw threshold against 4..7 fires.

[DEP168-B] Across remaining coups in [DEP168], fewer Zero-Value Group (10/J/Q/K) (0-point) cards tilt Player 0..5 draw rate by -42 bps and Banker stand rate by 12 bps, though BANKER_TABLEAU[5][7]=true invariably draws a sixth card.

Depletion Matrix for DEP168 (Zero-Value Group (10/J/Q/K) at 166/416 Cards)
DEP168 MetricDEP168 Fresh 416-ShoeDEP168 At 166 DealtDEP168 Tableau Effect
[DEP168:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP168:Rank]128/416 (30.77%)72/250 (28.80%)Point Value 0
[DEP168:Shift]Baseline Draw/StandP -42 bps / B 12 bpsB5 Draw 4-7 Gate
[DEP168:Hand]P=5 vs B=5, P3=7P=2 vs B=76c (B)
  • [DEP168-1] Verify [DEP168] 250 unseen cards remain after 166/416 exit.
  • [DEP168-2] Compare [DEP168] Zero-Value Group (10/J/Q/K) density (72/250=28.80%) vs 30.77%.
  • [DEP168-3] Apply [DEP168] BANKER_TABLEAU[5][7]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP168

Why DEP168 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP168-C4] Auditioning [DEP168] at depth, Player opens 5 + 7 -> 2 while Banker opens 5 -> 7 across 6c (B in [DEP168]). Across [DEP168] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP168] BBPPBBPPPB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Zero-Value Group (10/J/Q/K) is depleted to 72/250 in DEP168, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[5][7] remains true at every shoe depth.
MythDeep shoe penetration at 166/416 cards in DEP168 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
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