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SHOE PENETRATION & DEPLETION [DEP092] · 40% DEPTH

Four (4) Depletion at 166/416 Cards (40%): B4 Draw 2-7 Gate Impact #92

In shoe-depletion analysis DEP092, 166 of 416 cards (40%) have exited the shoe, leaving 14 copies of Four (4) among 250 unseen cards (5.60% vs baseline 7.69%) and shifting B4 Draw 2-7 Gate frequency by -32 bps.

DEP092 Shoe Depth
166/416 (40%)
DEP092 4 Density
14/250 (5.60%)
DEP092 Draw Delta
-32 bps
DEP092 Tableau Gate
B4vP5:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 40% shoe-penetration state DEP092 (Four (4) -> 14/250).

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 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 3.
  2. Column 3 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

  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 2 beads. Same depth → red (=).

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

DEP092 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.

DEP092 Rank 4 Supply
14 of 32 Remaining (5.60%)

Compares depleted density 5.60% against fresh 8-deck baseline 7.69% for Four (4).

DEP092 Player Draw vs Banker Stand Shift
P-Draw -32 bps / B-Stand 21 bps

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

DEP092 Fixed Tableau Gate
BANKER_TABLEAU[4][5] = true

Card removal alters entry probabilities into (4, 5) but never alters the fixed DRAW rule.

DEP092 Sample Coup Resolution
P(7+4)+5=6 vs B(2+2)=3 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP092.

COMBINATORIAL DEPLETION · DEP092

How Removing Four (4) at 166 Cards Affects B4 Draw 2-7 Gate (DEP092)

When shoe [DEP092] advances to 166 cards (40% depth), Four (4) supply drops from 32/416 (7.69%) to 14/250 (5.60%), nudging the Banker 4 active six-card draw window against 2..7.

[DEP092-B] Since Four (4) contributes 4 points, scarcity in [DEP092] moves Player draw probability by -32 bps and Banker stand probability by 21 bps without ever changing BANKER_TABLEAU[4][5] (draws a sixth card).

Depletion Matrix for DEP092 (Four (4) at 166/416 Cards)
DEP092 MetricDEP092 Fresh 416-ShoeDEP092 At 166 DealtDEP092 Tableau Effect
[DEP092:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP092:Rank]32/416 (7.69%)14/250 (5.60%)Point Value 4
[DEP092:Shift]Baseline Draw/StandP -32 bps / B 21 bpsB4 Draw 2-7 Gate
[DEP092:Hand]P=1 vs B=4, P3=5P=6 vs B=36c (P)
  • [DEP092-1] Verify [DEP092] 250 unseen cards remain after 166/416 exit.
  • [DEP092-2] Compare [DEP092] Four (4) density (14/250=5.60%) vs 7.69%.
  • [DEP092-3] Apply [DEP092] BANKER_TABLEAU[4][5]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP092

Why DEP092 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP092-C5] Auditioning [DEP092] at depth, Player opens 1 + 5 -> 6 while Banker opens 4 -> 3 across 6c (P in [DEP092]). Across [DEP092] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP092] BBPPBPBBPP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Four (4) is depleted to 14/250 in DEP092, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[4][5] remains true at every shoe depth.
MythDeep shoe penetration at 166/416 cards in DEP092 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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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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