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SHOE PENETRATION & DEPLETION [DEP163] · 40% DEPTH

Five (5) Depletion at 166/416 Cards (40%): B5 Draw 4-7 Gate Impact #163

In shoe-depletion analysis DEP163, 166 of 416 cards (40%) have exited the shoe, leaving 15 copies of Five (5) among 250 unseen cards (6.00% vs baseline 7.69%) and shifting B5 Draw 4-7 Gate frequency by -17 bps.

DEP163 Shoe Depth
166/416 (40%)
DEP163 5 Density
15/250 (6.00%)
DEP163 Draw Delta
-17 bps
DEP163 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 40% shoe-penetration state DEP163 (Five (5) -> 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

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

DEP163 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.

DEP163 Rank 5 Supply
15 of 32 Remaining (6.00%)

Compares depleted density 6.00% against fresh 8-deck baseline 7.69% for Five (5).

DEP163 Player Draw vs Banker Stand Shift
P-Draw -17 bps / B-Stand 24 bps

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

DEP163 Fixed Tableau Gate
BANKER_TABLEAU[5][6] = true

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

DEP163 Sample Coup Resolution
P(10+K)+6=6 vs B(A+4)=7 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP163.

COMBINATORIAL DEPLETION · DEP163

How Removing Five (5) at 166 Cards Affects B5 Draw 4-7 Gate (DEP163)

Within shoe segment [DEP163] at 166 cards out, only 15 of 32 initial Five (5) cards remain inside 250 unseen cards (6.00% vs 7.69%), modifying the Banker 5 four-value draw threshold against 4..7.

[DEP163-B] Removing 5-point Five (5) cards adjusts Player's 0..5 draw incidence by -17 bps and Banker's standing share by 24 bps; once B=5 faces fifth-card 6, the rulebook draws a sixth card.

Depletion Matrix for DEP163 (Five (5) at 166/416 Cards)
DEP163 MetricDEP163 Fresh 416-ShoeDEP163 At 166 DealtDEP163 Tableau Effect
[DEP163:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP163:Rank]32/416 (7.69%)15/250 (6.00%)Point Value 5
[DEP163:Shift]Baseline Draw/StandP -17 bps / B 24 bpsB5 Draw 4-7 Gate
[DEP163:Hand]P=0 vs B=5, P3=6P=6 vs B=76c (B)
  • [DEP163-1] Verify [DEP163] 250 unseen cards remain after 166/416 exit.
  • [DEP163-2] Compare [DEP163] Five (5) density (15/250=6.00%) vs 7.69%.
  • [DEP163-3] Apply [DEP163] BANKER_TABLEAU[5][6]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP163

Why DEP163 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP163-C8] Auditioning [DEP163] at depth, Player opens 0 + 6 -> 6 while Banker opens 5 -> 7 across 6c (B in [DEP163]). Across [DEP163] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP163] PPBBPBPBBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Five (5) is depleted to 15/250 in DEP163, 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 166/416 cards in DEP163 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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