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SHOE PENETRATION & DEPLETION [DEP022] · 40% DEPTH

Four (4) Depletion at 166/416 Cards (40%): B3 vs P3=8 Shade Impact #22

In shoe-depletion analysis DEP022, 166 of 416 cards (40%) have exited the shoe, leaving 16 copies of Four (4) among 250 unseen cards (6.40% vs baseline 7.69%) and shifting B3 vs P3=8 Shade frequency by -15 bps.

DEP022 Shoe Depth
166/416 (40%)
DEP022 4 Density
16/250 (6.40%)
DEP022 Draw Delta
-15 bps
DEP022 Tableau Gate
B3vP8:STAND
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 40% shoe-penetration state DEP022 (Four (4) -> 16/250).

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

DEP022 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.

DEP022 Rank 4 Supply
16 of 32 Remaining (6.40%)

Compares depleted density 6.40% against fresh 8-deck baseline 7.69% for Four (4).

DEP022 Player Draw vs Banker Stand Shift
P-Draw -15 bps / B-Stand 28 bps

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

DEP022 Fixed Tableau Gate
BANKER_TABLEAU[3][8] = false

Card removal alters entry probabilities into (3, 8) but never alters the fixed STAND rule.

DEP022 Sample Coup Resolution
P(9+4)+8=1 vs B(10+3)=3 (B)

Verified 5-card hand via resolveHand() at penetration checkpoint DEP022.

COMBINATORIAL DEPLETION · DEP022

How Removing Four (4) at 166 Cards Affects B3 vs P3=8 Shade (DEP022)

When shoe [DEP022] advances to 166 cards (40% depth), Four (4) supply drops from 32/416 (7.69%) to 16/250 (6.40%), nudging the Banker 3 standing exception on Player third-card 8.

[DEP022-B] Since Four (4) contributes 4 points, scarcity in [DEP022] moves Player draw probability by -15 bps and Banker stand probability by 28 bps without ever changing BANKER_TABLEAU[3][8] (stands pat on five cards).

Depletion Matrix for DEP022 (Four (4) at 166/416 Cards)
DEP022 MetricDEP022 Fresh 416-ShoeDEP022 At 166 DealtDEP022 Tableau Effect
[DEP022:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP022:Rank]32/416 (7.69%)16/250 (6.40%)Point Value 4
[DEP022:Shift]Baseline Draw/StandP -15 bps / B 28 bpsB3 vs P3=8 Shade
[DEP022:Hand]P=3 vs B=3, P3=8P=1 vs B=35c (B)
  • [DEP022-1] Verify [DEP022] 250 unseen cards remain after 166/416 exit.
  • [DEP022-2] Compare [DEP022] Four (4) density (16/250=6.40%) vs 7.69%.
  • [DEP022-3] Apply [DEP022] BANKER_TABLEAU[3][8]=false (5c B).
INDEPENDENCE & ROAD LOGGING · DEP022

Why DEP022 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP022-C9] Auditioning [DEP022] at depth, Player opens 3 + 8 -> 1 while Banker opens 3 -> 3 across 5c (B in [DEP022]). Across [DEP022] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP022] BBPPBPPPBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Four (4) is depleted to 16/250 in DEP022, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[3][8] remains false at every shoe depth.
MythDeep shoe penetration at 166/416 cards in DEP022 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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