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SHOE PENETRATION & DEPLETION [DEP147] · 25% DEPTH

Three (3) Depletion at 104/416 Cards (25%): B5 Draw 4-7 Gate Impact #147

In shoe-depletion analysis DEP147, 104 of 416 cards (25%) have exited the shoe, leaving 20 copies of Three (3) among 312 unseen cards (6.41% vs baseline 7.69%) and shifting B5 Draw 4-7 Gate frequency by -39 bps.

DEP147 Shoe Depth
104/416 (25%)
DEP147 3 Density
20/312 (6.41%)
DEP147 Draw Delta
-39 bps
DEP147 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 B B B P P P P B B P B P P
Big Eye Boy = = ≠ = = ≠ = ≠ = = ≠ ≠ = ≠ ≠ = ≠
Small Road ≠ ≠ = ≠ = ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠
Cockroach Pig ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ =

Scoreboard trajectory paired with 25% shoe-penetration state DEP147 (Three (3) -> 20/312).

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

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

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

DEP147 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.

DEP147 Rank 3 Supply
20 of 32 Remaining (6.41%)

Compares depleted density 6.41% against fresh 8-deck baseline 7.69% for Three (3).

DEP147 Player Draw vs Banker Stand Shift
P-Draw -39 bps / B-Stand 24 bps

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

DEP147 Fixed Tableau Gate
BANKER_TABLEAU[5][6] = true

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

DEP147 Sample Coup Resolution
P(10+2)+6=8 vs B(A+4)=9 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP147.

COMBINATORIAL DEPLETION · DEP147

How Removing Three (3) at 104 Cards Affects B5 Draw 4-7 Gate (DEP147)

Composition analysis [DEP147] measures Three (3) scarcity at 104/416 cards: 20 left in 312 (6.41% vs 7.69%) changes arrival rates into the Banker 5 four-value draw threshold against 4..7.

[DEP147-B] Thinning Three (3) (3 pts) in [DEP147] produces a -39-bps Player draw delta and 24-bps Banker stand delta; nevertheless, Banker 5 facing 6 always draws a sixth card.

Depletion Matrix for DEP147 (Three (3) at 104/416 Cards)
DEP147 MetricDEP147 Fresh 416-ShoeDEP147 At 104 DealtDEP147 Tableau Effect
[DEP147:Shoe]416 Cards (0% Dealt)312 Left (25% Dealt)Early-Shoe Quarter Marker (2 decks dealt)
[DEP147:Rank]32/416 (7.69%)20/312 (6.41%)Point Value 3
[DEP147:Shift]Baseline Draw/StandP -39 bps / B 24 bpsB5 Draw 4-7 Gate
[DEP147:Hand]P=2 vs B=5, P3=6P=8 vs B=96c (B)
  • [DEP147-1] Verify [DEP147] 312 unseen cards remain after 104/416 exit.
  • [DEP147-2] Compare [DEP147] Three (3) density (20/312=6.41%) vs 7.69%.
  • [DEP147-3] Apply [DEP147] BANKER_TABLEAU[5][6]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP147

Why DEP147 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP147-C0] Auditioning [DEP147] at depth, Player opens 2 + 6 -> 8 while Banker opens 5 -> 9 across 6c (B in [DEP147]). Across [DEP147] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP147] PPBBPBPBBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Three (3) is depleted to 20/312 in DEP147, 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 104/416 cards in DEP147 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