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SHOE PENETRATION & DEPLETION [DEP164] · 40% DEPTH

Six (6) Depletion at 166/416 Cards (40%): B5 Draw 4-7 Gate Impact #164

In shoe-depletion analysis DEP164, 166 of 416 cards (40%) have exited the shoe, leaving 14 copies of Six (6) among 250 unseen cards (5.60% vs baseline 7.69%) and shifting B5 Draw 4-7 Gate frequency by 22 bps.

DEP164 Shoe Depth
166/416 (40%)
DEP164 6 Density
14/250 (5.60%)
DEP164 Draw Delta
22 bps
DEP164 Tableau Gate
B5vP7:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P P B B B B P P B P P P B B B P B
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ = = = ≠
Small Road = ≠ = ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠
Cockroach Pig = = ≠ = = ≠ = ≠ ≠ =

Scoreboard trajectory paired with 40% shoe-penetration state DEP164 (Six (6) -> 14/250).

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 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back.
  2. Column 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

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

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

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

DEP164 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.

DEP164 Rank 6 Supply
14 of 32 Remaining (5.60%)

Compares depleted density 5.60% against fresh 8-deck baseline 7.69% for Six (6).

DEP164 Player Draw vs Banker Stand Shift
P-Draw 22 bps / B-Stand -34 bps

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

DEP164 Fixed Tableau Gate
BANKER_TABLEAU[5][7] = true

Card removal alters entry probabilities into (5, 7) but never alters the fixed DRAW rule.

DEP164 Sample Coup Resolution
P(7+4)+7=8 vs B(2+3)=9 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP164.

COMBINATORIAL DEPLETION · DEP164

How Removing Six (6) at 166 Cards Affects B5 Draw 4-7 Gate (DEP164)

In depletion audit [DEP164], an 8-deck shoe reaches Mid-Early Penetration (3.2 decks dealt) with 250 cards left and 14 copies of Six (6) (5.60% vs 7.69%), directly shifting the Banker 5 four-value draw threshold against 4..7.

[DEP164-B] With Six (6) valued at 6 mod 10, its removal moves Player fifth-card draw entry by 22 bps and Banker pat rate by -34 bps; yet inside cell (B=5, P3=7), Banker deterministically draws a sixth card.

Depletion Matrix for DEP164 (Six (6) at 166/416 Cards)
DEP164 MetricDEP164 Fresh 416-ShoeDEP164 At 166 DealtDEP164 Tableau Effect
[DEP164:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP164:Rank]32/416 (7.69%)14/250 (5.60%)Point Value 6
[DEP164:Shift]Baseline Draw/StandP 22 bps / B -34 bpsB5 Draw 4-7 Gate
[DEP164:Hand]P=1 vs B=5, P3=7P=8 vs B=96c (B)
  • [DEP164-1] Verify [DEP164] 250 unseen cards remain after 166/416 exit.
  • [DEP164-2] Compare [DEP164] Six (6) density (14/250=5.60%) vs 7.69%.
  • [DEP164-3] Apply [DEP164] BANKER_TABLEAU[5][7]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP164

Why DEP164 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP164-C2] Auditioning [DEP164] at depth, Player opens 1 + 7 -> 8 while Banker opens 5 -> 9 across 6c (B in [DEP164]). Across [DEP164] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP164] BBPPPBBBBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Six (6) is depleted to 14/250 in DEP164, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[5][7] remains true at every shoe depth.
MythDeep shoe penetration at 166/416 cards in DEP164 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.
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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
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