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SHOE PENETRATION & DEPLETION [DEP123] · 70% DEPTH

Seven (7) Depletion at 291/416 Cards (70%): B4 Draw 2-7 Gate Impact #123

In shoe-depletion analysis DEP123, 291 of 416 cards (70%) have exited the shoe, leaving 6 copies of Seven (7) among 125 unseen cards (4.80% vs baseline 7.69%) and shifting B4 Draw 2-7 Gate frequency by 20 bps.

DEP123 Shoe Depth
291/416 (70%)
DEP123 7 Density
6/125 (4.80%)
DEP123 Draw Delta
20 bps
DEP123 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 70% shoe-penetration state DEP123 (Seven (7) -> 6/125).

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

DEP123 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.

DEP123 Rank 7 Supply
6 of 32 Remaining (4.80%)

Compares depleted density 4.80% against fresh 8-deck baseline 7.69% for Seven (7).

DEP123 Player Draw vs Banker Stand Shift
P-Draw 20 bps / B-Stand -11 bps

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

DEP123 Fixed Tableau Gate
BANKER_TABLEAU[4][4] = true

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

DEP123 Sample Coup Resolution
P(10+2)+4=6 vs B(A+3)=7 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP123.

COMBINATORIAL DEPLETION · DEP123

How Removing Seven (7) at 291 Cards Affects B4 Draw 2-7 Gate (DEP123)

Depletion vector [DEP123] pairs Deep-Shoe Segment (5.6 decks dealt) (125 cards left) with 6 remaining Seven (7) cards (4.80% vs 7.69%), quantifying the shift in the Banker 4 active six-card draw window against 2..7.

[DEP123-B] Observing [DEP123], 7-value Seven (7) removal shifts Player 0..5 draws by 20 bps and Banker stands by -11 bps, leaving the mandatory B4 vs P3=4 rule (draws a sixth card) intact.

Depletion Matrix for DEP123 (Seven (7) at 291/416 Cards)
DEP123 MetricDEP123 Fresh 416-ShoeDEP123 At 291 DealtDEP123 Tableau Effect
[DEP123:Shoe]416 Cards (0% Dealt)125 Left (70% Dealt)Deep-Shoe Segment (5.6 decks dealt)
[DEP123:Rank]32/416 (7.69%)6/125 (4.80%)Point Value 7
[DEP123:Shift]Baseline Draw/StandP 20 bps / B -11 bpsB4 Draw 2-7 Gate
[DEP123:Hand]P=2 vs B=4, P3=4P=6 vs B=76c (B)
  • [DEP123-1] Verify [DEP123] 125 unseen cards remain after 291/416 exit.
  • [DEP123-2] Compare [DEP123] Seven (7) density (6/125=4.80%) vs 7.69%.
  • [DEP123-3] Apply [DEP123] BANKER_TABLEAU[4][4]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP123

Why DEP123 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP123-C1] Auditioning [DEP123] at depth, Player opens 2 + 4 -> 6 while Banker opens 4 -> 7 across 6c (B in [DEP123]). Across [DEP123] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP123] PPBBPBPPBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Seven (7) is depleted to 6/125 in DEP123, 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 291/416 cards in DEP123 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