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SHOE PENETRATION & DEPLETION [DEP238] · 40% DEPTH

Zero-Value Group (10/J/Q/K) Depletion at 166/416 Cards (40%): B6 Draw 6-7 Gate Impact #238

In shoe-depletion analysis DEP238, 166 of 416 cards (40%) have exited the shoe, leaving 74 copies of Zero-Value Group (10/J/Q/K) among 250 unseen cards (29.60% vs baseline 30.77%) and shifting B6 Draw 6-7 Gate frequency by -22 bps.

DEP238 Shoe Depth
166/416 (40%)
DEP238 0s Density
74/250 (29.60%)
DEP238 Draw Delta
-22 bps
DEP238 Tableau Gate
B6vP7:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 40% shoe-penetration state DEP238 (Zero-Value Group (10/J/Q/K) -> 74/250).

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

  1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back.
  2. Column 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

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

Small Road Mark #3

Column 4 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  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 3 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠).

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

DEP238 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.

DEP238 Rank 0s Supply
74 of 128 Remaining (29.60%)

Compares depleted density 29.60% against fresh 8-deck baseline 30.77% for Zero-Value Group (10/J/Q/K).

DEP238 Player Draw vs Banker Stand Shift
P-Draw -22 bps / B-Stand 36 bps

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

DEP238 Fixed Tableau Gate
BANKER_TABLEAU[6][7] = true

Card removal alters entry probabilities into (6, 7) but never alters the fixed DRAW rule.

DEP238 Sample Coup Resolution
P(9+4)+7=0 vs B(3+3)=9 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP238.

COMBINATORIAL DEPLETION · DEP238

How Removing Zero-Value Group (10/J/Q/K) at 166 Cards Affects B6 Draw 6-7 Gate (DEP238)

Under combinatorial state [DEP238] (40% penetration, 250 cards remaining), Zero-Value Group (10/J/Q/K) concentration stands at 74/250 (29.60% vs 30.77%), altering how often the Banker 6 two-value sixth-card trigger against 6 or 7 fires.

[DEP238-B] Across remaining coups in [DEP238], fewer Zero-Value Group (10/J/Q/K) (0-point) cards tilt Player 0..5 draw rate by -22 bps and Banker stand rate by 36 bps, though BANKER_TABLEAU[6][7]=true invariably draws a sixth card.

Depletion Matrix for DEP238 (Zero-Value Group (10/J/Q/K) at 166/416 Cards)
DEP238 MetricDEP238 Fresh 416-ShoeDEP238 At 166 DealtDEP238 Tableau Effect
[DEP238:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP238:Rank]128/416 (30.77%)74/250 (29.60%)Point Value 0
[DEP238:Shift]Baseline Draw/StandP -22 bps / B 36 bpsB6 Draw 6-7 Gate
[DEP238:Hand]P=3 vs B=6, P3=7P=0 vs B=96c (B)
  • [DEP238-1] Verify [DEP238] 250 unseen cards remain after 166/416 exit.
  • [DEP238-2] Compare [DEP238] Zero-Value Group (10/J/Q/K) density (74/250=29.60%) vs 30.77%.
  • [DEP238-3] Apply [DEP238] BANKER_TABLEAU[6][7]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP238

Why DEP238 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP238-C0] Auditioning [DEP238] at depth, Player opens 3 + 7 -> 0 while Banker opens 6 -> 9 across 6c (B in [DEP238]). Across [DEP238] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP238] BBPPPBBPBB 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 74/250 in DEP238, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[6][7] remains true at every shoe depth.
MythDeep shoe penetration at 166/416 cards in DEP238 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.
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Read Every Derived Road at Table Speed

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