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SHOE PENETRATION & DEPLETION [DEP331] · 70% DEPTH

Five (5) Depletion at 291/416 Cards (70%): P0-5 vs B-Stand Impact #331

In shoe-depletion analysis DEP331, 291 of 416 cards (70%) have exited the shoe, leaving 6 copies of Five (5) among 125 unseen cards (4.80% vs baseline 7.69%) and shifting P0-5 vs B-Stand frequency by -24 bps.

DEP331 Shoe Depth
291/416 (70%)
DEP331 5 Density
6/125 (4.80%)
DEP331 Draw Delta
-24 bps
DEP331 Tableau Gate
B2vP2:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 70% shoe-penetration state DEP331 (Five (5) -> 6/125).

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

DEP331 Penetration Depth
291 Dealt / 125 Remaining (70%)

Evaluated at Deep-Shoe Segment (5.6 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP331 Rank 5 Supply
6 of 32 Remaining (4.80%)

Compares depleted density 4.80% against fresh 8-deck baseline 7.69% for Five (5).

DEP331 Player Draw vs Banker Stand Shift
P-Draw -24 bps / B-Stand 32 bps

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

DEP331 Fixed Tableau Gate
BANKER_TABLEAU[2][2] = true

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

DEP331 Sample Coup Resolution
P(10+K)+2=2 vs B(8+4)=9 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP331.

COMBINATORIAL DEPLETION · DEP331

How Removing Five (5) at 291 Cards Affects P0-5 vs B-Stand (DEP331)

Within shoe segment [DEP331] at 291 cards out, only 6 of 32 initial Five (5) cards remain inside 125 unseen cards (4.80% vs 7.69%), modifying the Player 0..5 fifth-card draw rate versus Banker 6..7 stand rate.

[DEP331-B] Removing 5-point Five (5) cards adjusts Player's 0..5 draw incidence by -24 bps and Banker's standing share by 32 bps; once B=2 faces fifth-card 2, the rulebook draws a sixth card.

Depletion Matrix for DEP331 (Five (5) at 291/416 Cards)
DEP331 MetricDEP331 Fresh 416-ShoeDEP331 At 291 DealtDEP331 Tableau Effect
[DEP331:Shoe]416 Cards (0% Dealt)125 Left (70% Dealt)Deep-Shoe Segment (5.6 decks dealt)
[DEP331:Rank]32/416 (7.69%)6/125 (4.80%)Point Value 5
[DEP331:Shift]Baseline Draw/StandP -24 bps / B 32 bpsP0-5 vs B-Stand
[DEP331:Hand]P=0 vs B=2, P3=2P=2 vs B=96c (B)
  • [DEP331-1] Verify [DEP331] 125 unseen cards remain after 291/416 exit.
  • [DEP331-2] Compare [DEP331] Five (5) density (6/125=4.80%) vs 7.69%.
  • [DEP331-3] Apply [DEP331] BANKER_TABLEAU[2][2]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP331

Why DEP331 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP331-C1] Auditioning [DEP331] at depth, Player opens 0 + 2 -> 2 while Banker opens 2 -> 9 across 6c (B in [DEP331]). Across [DEP331] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP331] PPBBPBPPBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Five (5) is depleted to 6/125 in DEP331, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[2][2] remains true at every shoe depth.
MythDeep shoe penetration at 291/416 cards in DEP331 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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