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SHOE PENETRATION & DEPLETION [DEP091] · 40% DEPTH

Three (3) Depletion at 166/416 Cards (40%): B4 Draw 2-7 Gate Impact #91

In shoe-depletion analysis DEP091, 166 of 416 cards (40%) have exited the shoe, leaving 15 copies of Three (3) among 250 unseen cards (6.00% vs baseline 7.69%) and shifting B4 Draw 2-7 Gate frequency by -27 bps.

DEP091 Shoe Depth
166/416 (40%)
DEP091 3 Density
15/250 (6.00%)
DEP091 Draw Delta
-27 bps
DEP091 Tableau Gate
B4vP4: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 40% shoe-penetration state DEP091 (Three (3) -> 15/250).

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

DEP091 Penetration Depth
166 Dealt / 250 Remaining (40%)

Evaluated at Mid-Early Penetration (3.2 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP091 Rank 3 Supply
15 of 32 Remaining (6.00%)

Compares depleted density 6.00% against fresh 8-deck baseline 7.69% for Three (3).

DEP091 Player Draw vs Banker Stand Shift
P-Draw -27 bps / B-Stand 11 bps

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

DEP091 Fixed Tableau Gate
BANKER_TABLEAU[4][4] = true

Card removal alters entry probabilities into (4, 4) but never alters the fixed DRAW rule.

DEP091 Sample Coup Resolution
P(10+K)+4=4 vs B(A+3)=1 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP091.

COMBINATORIAL DEPLETION · DEP091

How Removing Three (3) at 166 Cards Affects B4 Draw 2-7 Gate (DEP091)

Composition analysis [DEP091] measures Three (3) scarcity at 166/416 cards: 15 left in 250 (6.00% vs 7.69%) changes arrival rates into the Banker 4 active six-card draw window against 2..7.

[DEP091-B] Thinning Three (3) (3 pts) in [DEP091] produces a -27-bps Player draw delta and 11-bps Banker stand delta; nevertheless, Banker 4 facing 4 always draws a sixth card.

Depletion Matrix for DEP091 (Three (3) at 166/416 Cards)
DEP091 MetricDEP091 Fresh 416-ShoeDEP091 At 166 DealtDEP091 Tableau Effect
[DEP091:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP091:Rank]32/416 (7.69%)15/250 (6.00%)Point Value 3
[DEP091:Shift]Baseline Draw/StandP -27 bps / B 11 bpsB4 Draw 2-7 Gate
[DEP091:Hand]P=0 vs B=4, P3=4P=4 vs B=16c (P)
  • [DEP091-1] Verify [DEP091] 250 unseen cards remain after 166/416 exit.
  • [DEP091-2] Compare [DEP091] Three (3) density (15/250=6.00%) vs 7.69%.
  • [DEP091-3] Apply [DEP091] BANKER_TABLEAU[4][4]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP091

Why DEP091 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP091-C11] Auditioning [DEP091] at depth, Player opens 0 + 4 -> 4 while Banker opens 4 -> 1 across 6c (P in [DEP091]). Across [DEP091] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP091] PPBBPBPPBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Three (3) is depleted to 15/250 in DEP091, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[4][4] remains true at every shoe depth.
MythDeep shoe penetration at 166/416 cards in DEP091 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