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SHOE PENETRATION & DEPLETION [DEP346] · 82% DEPTH

Six (6) Depletion at 341/416 Cards (82%): P0-5 vs B-Stand Impact #346

In shoe-depletion analysis DEP346, 341 of 416 cards (82%) have exited the shoe, leaving 3 copies of Six (6) among 75 unseen cards (4.00% vs baseline 7.69%) and shifting P0-5 vs B-Stand frequency by 34 bps.

DEP346 Shoe Depth
341/416 (82%)
DEP346 6 Density
3/75 (4.00%)
DEP346 Draw Delta
34 bps
DEP346 Tableau Gate
B2vP1: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 B B B P P P B B B B P
Big Eye Boy = = ≠ = ≠ ≠ ≠ ≠ = ≠ = = = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ = = ≠ ≠
Cockroach Pig ≠ = = = ≠ = ≠ = ≠ ≠ ≠ = = ≠

Scoreboard trajectory paired with 82% shoe-penetration state DEP346 (Six (6) -> 3/75).

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

DEP346 Penetration Depth
341 Dealt / 75 Remaining (82%)

Evaluated at Pre-Cut-Card Tail (6.5 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP346 Rank 6 Supply
3 of 32 Remaining (4.00%)

Compares depleted density 4.00% against fresh 8-deck baseline 7.69% for Six (6).

DEP346 Player Draw vs Banker Stand Shift
P-Draw 34 bps / B-Stand -22 bps

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

DEP346 Fixed Tableau Gate
BANKER_TABLEAU[2][1] = true

Card removal alters entry probabilities into (2, 1) but never alters the fixed DRAW rule.

DEP346 Sample Coup Resolution
P(9+4)+A=4 vs B(10+2)=5 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP346.

COMBINATORIAL DEPLETION · DEP346

How Removing Six (6) at 341 Cards Affects P0-5 vs B-Stand (DEP346)

In depletion audit [DEP346], an 8-deck shoe reaches Pre-Cut-Card Tail (6.5 decks dealt) with 75 cards left and 3 copies of Six (6) (4.00% vs 7.69%), directly shifting the Player 0..5 fifth-card draw rate versus Banker 6..7 stand rate.

[DEP346-B] With Six (6) valued at 6 mod 10, its removal moves Player fifth-card draw entry by 34 bps and Banker pat rate by -22 bps; yet inside cell (B=2, P3=1), Banker deterministically draws a sixth card.

Depletion Matrix for DEP346 (Six (6) at 341/416 Cards)
DEP346 MetricDEP346 Fresh 416-ShoeDEP346 At 341 DealtDEP346 Tableau Effect
[DEP346:Shoe]416 Cards (0% Dealt)75 Left (82% Dealt)Pre-Cut-Card Tail (6.5 decks dealt)
[DEP346:Rank]32/416 (7.69%)3/75 (4.00%)Point Value 6
[DEP346:Shift]Baseline Draw/StandP 34 bps / B -22 bpsP0-5 vs B-Stand
[DEP346:Hand]P=3 vs B=2, P3=1P=4 vs B=56c (B)
  • [DEP346-1] Verify [DEP346] 75 unseen cards remain after 341/416 exit.
  • [DEP346-2] Compare [DEP346] Six (6) density (3/75=4.00%) vs 7.69%.
  • [DEP346-3] Apply [DEP346] BANKER_TABLEAU[2][1]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP346

Why DEP346 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP346-C2] Auditioning [DEP346] at depth, Player opens 3 + 1 -> 4 while Banker opens 2 -> 5 across 6c (B in [DEP346]). Across [DEP346] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP346] BBPPBPBBPB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Six (6) is depleted to 3/75 in DEP346, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[2][1] remains true at every shoe depth.
MythDeep shoe penetration at 341/416 cards in DEP346 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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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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