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SHOE PENETRATION & DEPLETION [DEP217] · 25% DEPTH

Three (3) Depletion at 104/416 Cards (25%): B6 Draw 6-7 Gate Impact #217

In shoe-depletion analysis DEP217, 104 of 416 cards (25%) have exited the shoe, leaving 22 copies of Three (3) among 312 unseen cards (7.05% vs baseline 7.69%) and shifting B6 Draw 6-7 Gate frequency by -19 bps.

DEP217 Shoe Depth
104/416 (25%)
DEP217 3 Density
22/312 (7.05%)
DEP217 Draw Delta
-19 bps
DEP217 Tableau Gate
B6vP6:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 25% shoe-penetration state DEP217 (Three (3) -> 22/312).

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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

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.

Small Road Mark #3

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

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

DEP217 Penetration Depth
104 Dealt / 312 Remaining (25%)

Evaluated at Early-Shoe Quarter Marker (2 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP217 Rank 3 Supply
22 of 32 Remaining (7.05%)

Compares depleted density 7.05% against fresh 8-deck baseline 7.69% for Three (3).

DEP217 Player Draw vs Banker Stand Shift
P-Draw -19 bps / B-Stand 17 bps

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

DEP217 Fixed Tableau Gate
BANKER_TABLEAU[6][6] = true

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

DEP217 Sample Coup Resolution
P(10+K)+6=6 vs B(2+4)=1 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP217.

COMBINATORIAL DEPLETION · DEP217

How Removing Three (3) at 104 Cards Affects B6 Draw 6-7 Gate (DEP217)

Composition analysis [DEP217] measures Three (3) scarcity at 104/416 cards: 22 left in 312 (7.05% vs 7.69%) changes arrival rates into the Banker 6 two-value sixth-card trigger against 6 or 7.

[DEP217-B] Thinning Three (3) (3 pts) in [DEP217] produces a -19-bps Player draw delta and 17-bps Banker stand delta; nevertheless, Banker 6 facing 6 always draws a sixth card.

Depletion Matrix for DEP217 (Three (3) at 104/416 Cards)
DEP217 MetricDEP217 Fresh 416-ShoeDEP217 At 104 DealtDEP217 Tableau Effect
[DEP217:Shoe]416 Cards (0% Dealt)312 Left (25% Dealt)Early-Shoe Quarter Marker (2 decks dealt)
[DEP217:Rank]32/416 (7.69%)22/312 (7.05%)Point Value 3
[DEP217:Shift]Baseline Draw/StandP -19 bps / B 17 bpsB6 Draw 6-7 Gate
[DEP217:Hand]P=0 vs B=6, P3=6P=6 vs B=16c (P)
  • [DEP217-1] Verify [DEP217] 312 unseen cards remain after 104/416 exit.
  • [DEP217-2] Compare [DEP217] Three (3) density (22/312=7.05%) vs 7.69%.
  • [DEP217-3] Apply [DEP217] BANKER_TABLEAU[6][6]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP217

Why DEP217 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP217-C9] Auditioning [DEP217] at depth, Player opens 0 + 6 -> 6 while Banker opens 6 -> 1 across 6c (P in [DEP217]). Across [DEP217] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP217] PPBBPPBBBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Three (3) is depleted to 22/312 in DEP217, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[6][6] remains true at every shoe depth.
MythDeep shoe penetration at 104/416 cards in DEP217 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