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SHOE PENETRATION & DEPLETION [DEP203] · 82% DEPTH

Three (3) Depletion at 341/416 Cards (82%): B5 Draw 4-7 Gate Impact #203

In shoe-depletion analysis DEP203, 341 of 416 cards (82%) have exited the shoe, leaving 2 copies of Three (3) among 75 unseen cards (2.67% vs baseline 7.69%) and shifting B5 Draw 4-7 Gate frequency by -22 bps.

DEP203 Shoe Depth
341/416 (82%)
DEP203 3 Density
2/75 (2.67%)
DEP203 Draw Delta
-22 bps
DEP203 Tableau Gate
B5vP6: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 82% shoe-penetration state DEP203 (Three (3) -> 2/75).

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

DEP203 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.

DEP203 Rank 3 Supply
2 of 32 Remaining (2.67%)

Compares depleted density 2.67% against fresh 8-deck baseline 7.69% for Three (3).

DEP203 Player Draw vs Banker Stand Shift
P-Draw -22 bps / B-Stand 37 bps

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

DEP203 Fixed Tableau Gate
BANKER_TABLEAU[5][6] = true

Card removal alters entry probabilities into (5, 6) but never alters the fixed DRAW rule.

DEP203 Sample Coup Resolution
P(2+2)+6=0 vs B(A+4)=5 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP203.

COMBINATORIAL DEPLETION · DEP203

How Removing Three (3) at 341 Cards Affects B5 Draw 4-7 Gate (DEP203)

Composition analysis [DEP203] measures Three (3) scarcity at 341/416 cards: 2 left in 75 (2.67% vs 7.69%) changes arrival rates into the Banker 5 four-value draw threshold against 4..7.

[DEP203-B] Thinning Three (3) (3 pts) in [DEP203] produces a -22-bps Player draw delta and 37-bps Banker stand delta; nevertheless, Banker 5 facing 6 always draws a sixth card.

Depletion Matrix for DEP203 (Three (3) at 341/416 Cards)
DEP203 MetricDEP203 Fresh 416-ShoeDEP203 At 341 DealtDEP203 Tableau Effect
[DEP203:Shoe]416 Cards (0% Dealt)75 Left (82% Dealt)Pre-Cut-Card Tail (6.5 decks dealt)
[DEP203:Rank]32/416 (7.69%)2/75 (2.67%)Point Value 3
[DEP203:Shift]Baseline Draw/StandP -22 bps / B 37 bpsB5 Draw 4-7 Gate
[DEP203:Hand]P=4 vs B=5, P3=6P=0 vs B=56c (B)
  • [DEP203-1] Verify [DEP203] 75 unseen cards remain after 341/416 exit.
  • [DEP203-2] Compare [DEP203] Three (3) density (2/75=2.67%) vs 7.69%.
  • [DEP203-3] Apply [DEP203] BANKER_TABLEAU[5][6]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP203

Why DEP203 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP203-C2] Auditioning [DEP203] at depth, Player opens 4 + 6 -> 0 while Banker opens 5 -> 5 across 6c (B in [DEP203]). Across [DEP203] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP203] PPBBPBPPBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Three (3) is depleted to 2/75 in DEP203, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[5][6] remains true at every shoe depth.
MythDeep shoe penetration at 341/416 cards in DEP203 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.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

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
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android