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SHOE PENETRATION & DEPLETION [DEP162] · 40% DEPTH

Four (4) Depletion at 166/416 Cards (40%): B5 Draw 4-7 Gate Impact #162

In shoe-depletion analysis DEP162, 166 of 416 cards (40%) have exited the shoe, leaving 16 copies of Four (4) among 250 unseen cards (6.40% vs baseline 7.69%) and shifting B5 Draw 4-7 Gate frequency by -12 bps.

DEP162 Shoe Depth
166/416 (40%)
DEP162 4 Density
16/250 (6.40%)
DEP162 Draw Delta
-12 bps
DEP162 Tableau Gate
B5vP5:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 40% shoe-penetration state DEP162 (Four (4) -> 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 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

DEP162 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.

DEP162 Rank 4 Supply
16 of 32 Remaining (6.40%)

Compares depleted density 6.40% against fresh 8-deck baseline 7.69% for Four (4).

DEP162 Player Draw vs Banker Stand Shift
P-Draw -12 bps / B-Stand 14 bps

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

DEP162 Fixed Tableau Gate
BANKER_TABLEAU[5][5] = true

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

DEP162 Sample Coup Resolution
P(A+4)+5=0 vs B(2+3)=5 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP162.

COMBINATORIAL DEPLETION · DEP162

How Removing Four (4) at 166 Cards Affects B5 Draw 4-7 Gate (DEP162)

When shoe [DEP162] advances to 166 cards (40% depth), Four (4) supply drops from 32/416 (7.69%) to 16/250 (6.40%), nudging the Banker 5 four-value draw threshold against 4..7.

[DEP162-B] Since Four (4) contributes 4 points, scarcity in [DEP162] moves Player draw probability by -12 bps and Banker stand probability by 14 bps without ever changing BANKER_TABLEAU[5][5] (draws a sixth card).

Depletion Matrix for DEP162 (Four (4) at 166/416 Cards)
DEP162 MetricDEP162 Fresh 416-ShoeDEP162 At 166 DealtDEP162 Tableau Effect
[DEP162:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP162:Rank]32/416 (7.69%)16/250 (6.40%)Point Value 4
[DEP162:Shift]Baseline Draw/StandP -12 bps / B 14 bpsB5 Draw 4-7 Gate
[DEP162:Hand]P=5 vs B=5, P3=5P=0 vs B=56c (B)
  • [DEP162-1] Verify [DEP162] 250 unseen cards remain after 166/416 exit.
  • [DEP162-2] Compare [DEP162] Four (4) density (16/250=6.40%) vs 7.69%.
  • [DEP162-3] Apply [DEP162] BANKER_TABLEAU[5][5]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP162

Why DEP162 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP162-C1] Auditioning [DEP162] at depth, Player opens 5 + 5 -> 0 while Banker opens 5 -> 5 across 6c (B in [DEP162]). Across [DEP162] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP162] BBPPBPBPPP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Four (4) is depleted to 16/250 in DEP162, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[5][5] remains true at every shoe depth.
MythDeep shoe penetration at 166/416 cards in DEP162 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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