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SHOE PENETRATION & DEPLETION [DEP094] · 40% DEPTH

Six (6) Depletion at 166/416 Cards (40%): B4 Draw 2-7 Gate Impact #94

In shoe-depletion analysis DEP094, 166 of 416 cards (40%) have exited the shoe, leaving 16 copies of Six (6) among 250 unseen cards (6.40% vs baseline 7.69%) and shifting B4 Draw 2-7 Gate frequency by 42 bps.

DEP094 Shoe Depth
166/416 (40%)
DEP094 6 Density
16/250 (6.40%)
DEP094 Draw Delta
42 bps
DEP094 Tableau Gate
B4vP3: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 P B B P P B P P P B B B B
Big Eye Boy = ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ = ≠ = = ≠
Small Road = = ≠ = = ≠ ≠ ≠ = ≠ ≠ ≠ = =
Cockroach Pig ≠ = ≠ = = = = ≠ ≠ = ≠ =

Scoreboard trajectory paired with 40% shoe-penetration state DEP094 (Six (6) -> 16/250).

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

Column 4 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 5 has 2 beads. 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 2 beads. 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

DEP094 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.

DEP094 Rank 6 Supply
16 of 32 Remaining (6.40%)

Compares depleted density 6.40% against fresh 8-deck baseline 7.69% for Six (6).

DEP094 Player Draw vs Banker Stand Shift
P-Draw 42 bps / B-Stand -10 bps

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

DEP094 Fixed Tableau Gate
BANKER_TABLEAU[4][3] = true

Card removal alters entry probabilities into (4, 3) but never alters the fixed DRAW rule.

DEP094 Sample Coup Resolution
P(9+4)+3=6 vs B(2+2)=7 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP094.

COMBINATORIAL DEPLETION · DEP094

How Removing Six (6) at 166 Cards Affects B4 Draw 2-7 Gate (DEP094)

In depletion audit [DEP094], an 8-deck shoe reaches Mid-Early Penetration (3.2 decks dealt) with 250 cards left and 16 copies of Six (6) (6.40% vs 7.69%), directly shifting the Banker 4 active six-card draw window against 2..7.

[DEP094-B] With Six (6) valued at 6 mod 10, its removal moves Player fifth-card draw entry by 42 bps and Banker pat rate by -10 bps; yet inside cell (B=4, P3=3), Banker deterministically draws a sixth card.

Depletion Matrix for DEP094 (Six (6) at 166/416 Cards)
DEP094 MetricDEP094 Fresh 416-ShoeDEP094 At 166 DealtDEP094 Tableau Effect
[DEP094:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP094:Rank]32/416 (7.69%)16/250 (6.40%)Point Value 6
[DEP094:Shift]Baseline Draw/StandP 42 bps / B -10 bpsB4 Draw 2-7 Gate
[DEP094:Hand]P=3 vs B=4, P3=3P=6 vs B=76c (B)
  • [DEP094-1] Verify [DEP094] 250 unseen cards remain after 166/416 exit.
  • [DEP094-2] Compare [DEP094] Six (6) density (16/250=6.40%) vs 7.69%.
  • [DEP094-3] Apply [DEP094] BANKER_TABLEAU[4][3]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP094

Why DEP094 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP094-C6] Auditioning [DEP094] at depth, Player opens 3 + 3 -> 6 while Banker opens 4 -> 7 across 6c (B in [DEP094]). Across [DEP094] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP094] BBPPPBBPBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Six (6) is depleted to 16/250 in DEP094, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[4][3] remains true at every shoe depth.
MythDeep shoe penetration at 166/416 cards in DEP094 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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