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SHOE PENETRATION & DEPLETION [DEP330] · 70% DEPTH

Four (4) Depletion at 291/416 Cards (70%): P0-5 vs B-Stand Impact #330

In shoe-depletion analysis DEP330, 291 of 416 cards (70%) have exited the shoe, leaving 7 copies of Four (4) among 125 unseen cards (5.60% vs baseline 7.69%) and shifting P0-5 vs B-Stand frequency by -19 bps.

DEP330 Shoe Depth
291/416 (70%)
DEP330 4 Density
7/125 (5.60%)
DEP330 Draw Delta
-19 bps
DEP330 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 70% shoe-penetration state DEP330 (Four (4) -> 7/125).

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

DEP330 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.

DEP330 Rank 4 Supply
7 of 32 Remaining (5.60%)

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

DEP330 Player Draw vs Banker Stand Shift
P-Draw -19 bps / B-Stand 22 bps

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

DEP330 Fixed Tableau Gate
BANKER_TABLEAU[2][1] = true

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

DEP330 Sample Coup Resolution
P(A+4)+A=6 vs B(10+2)=7 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP330.

COMBINATORIAL DEPLETION · DEP330

How Removing Four (4) at 291 Cards Affects P0-5 vs B-Stand (DEP330)

When shoe [DEP330] advances to 291 cards (70% depth), Four (4) supply drops from 32/416 (7.69%) to 7/125 (5.60%), nudging the Player 0..5 fifth-card draw rate versus Banker 6..7 stand rate.

[DEP330-B] Since Four (4) contributes 4 points, scarcity in [DEP330] moves Player draw probability by -19 bps and Banker stand probability by 22 bps without ever changing BANKER_TABLEAU[2][1] (draws a sixth card).

Depletion Matrix for DEP330 (Four (4) at 291/416 Cards)
DEP330 MetricDEP330 Fresh 416-ShoeDEP330 At 291 DealtDEP330 Tableau Effect
[DEP330:Shoe]416 Cards (0% Dealt)125 Left (70% Dealt)Deep-Shoe Segment (5.6 decks dealt)
[DEP330:Rank]32/416 (7.69%)7/125 (5.60%)Point Value 4
[DEP330:Shift]Baseline Draw/StandP -19 bps / B 22 bpsP0-5 vs B-Stand
[DEP330:Hand]P=5 vs B=2, P3=1P=6 vs B=76c (B)
  • [DEP330-1] Verify [DEP330] 125 unseen cards remain after 291/416 exit.
  • [DEP330-2] Compare [DEP330] Four (4) density (7/125=5.60%) vs 7.69%.
  • [DEP330-3] Apply [DEP330] BANKER_TABLEAU[2][1]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP330

Why DEP330 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP330-C7] Auditioning [DEP330] at depth, Player opens 5 + 1 -> 6 while Banker opens 2 -> 7 across 6c (B in [DEP330]). Across [DEP330] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP330] BBPPBPBBPB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Four (4) is depleted to 7/125 in DEP330, 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 291/416 cards in DEP330 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
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
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