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SHOE PENETRATION & DEPLETION [DEP151] · 25% DEPTH

Seven (7) Depletion at 104/416 Cards (25%): B5 Draw 4-7 Gate Impact #151

In shoe-depletion analysis DEP151, 104 of 416 cards (25%) have exited the shoe, leaving 20 copies of Seven (7) among 312 unseen cards (6.41% vs baseline 7.69%) and shifting B5 Draw 4-7 Gate frequency by 22 bps.

DEP151 Shoe Depth
104/416 (25%)
DEP151 7 Density
20/312 (6.41%)
DEP151 Draw Delta
22 bps
DEP151 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 B B P P P P B P P B B P P B
Big Eye Boy = = ≠ ≠ = ≠ = = ≠ ≠ ≠ ≠ ≠ = = = =
Small Road ≠ = ≠ ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = =
Cockroach Pig = ≠ ≠ = ≠ = ≠ = = ≠ = ≠ ≠ ≠

Scoreboard trajectory paired with 25% shoe-penetration state DEP151 (Seven (7) -> 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

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

  1. Column 4 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 stopped at Row 2, one row above → blue (≠).

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

DEP151 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.

DEP151 Rank 7 Supply
20 of 32 Remaining (6.41%)

Compares depleted density 6.41% against fresh 8-deck baseline 7.69% for Seven (7).

DEP151 Player Draw vs Banker Stand Shift
P-Draw 22 bps / B-Stand -33 bps

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

DEP151 Fixed Tableau Gate
BANKER_TABLEAU[5][6] = true

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

DEP151 Sample Coup Resolution
P(10+K)+6=6 vs B(A+4)=7 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP151.

COMBINATORIAL DEPLETION · DEP151

How Removing Seven (7) at 104 Cards Affects B5 Draw 4-7 Gate (DEP151)

Depletion vector [DEP151] pairs Early-Shoe Quarter Marker (2 decks dealt) (312 cards left) with 20 remaining Seven (7) cards (6.41% vs 7.69%), quantifying the shift in the Banker 5 four-value draw threshold against 4..7.

[DEP151-B] Observing [DEP151], 7-value Seven (7) removal shifts Player 0..5 draws by 22 bps and Banker stands by -33 bps, leaving the mandatory B5 vs P3=6 rule (draws a sixth card) intact.

Depletion Matrix for DEP151 (Seven (7) at 104/416 Cards)
DEP151 MetricDEP151 Fresh 416-ShoeDEP151 At 104 DealtDEP151 Tableau Effect
[DEP151:Shoe]416 Cards (0% Dealt)312 Left (25% Dealt)Early-Shoe Quarter Marker (2 decks dealt)
[DEP151:Rank]32/416 (7.69%)20/312 (6.41%)Point Value 7
[DEP151:Shift]Baseline Draw/StandP 22 bps / B -33 bpsB5 Draw 4-7 Gate
[DEP151:Hand]P=0 vs B=5, P3=6P=6 vs B=76c (B)
  • [DEP151-1] Verify [DEP151] 312 unseen cards remain after 104/416 exit.
  • [DEP151-2] Compare [DEP151] Seven (7) density (20/312=6.41%) vs 7.69%.
  • [DEP151-3] Apply [DEP151] BANKER_TABLEAU[5][6]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP151

Why DEP151 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP151-C2] Auditioning [DEP151] at depth, Player opens 0 + 6 -> 6 while Banker opens 5 -> 7 across 6c (B in [DEP151]). Across [DEP151] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP151] PPBBPBBBPP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Seven (7) is depleted to 20/312 in DEP151, 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 DEP151 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
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