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SHOE PENETRATION & DEPLETION [DEP316] · 55% DEPTH

Four (4) Depletion at 229/416 Cards (55%): P0-5 vs B-Stand Impact #316

In shoe-depletion analysis DEP316, 229 of 416 cards (55%) have exited the shoe, leaving 9 copies of Four (4) among 187 unseen cards (4.81% vs baseline 7.69%) and shifting P0-5 vs B-Stand frequency by -14 bps.

DEP316 Shoe Depth
229/416 (55%)
DEP316 4 Density
9/187 (4.81%)
DEP316 Draw Delta
-14 bps
DEP316 Tableau Gate
B2vP3: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 B P P B P P P B B B P B B
Big Eye Boy = = ≠ = ≠ ≠ = = ≠ ≠ = ≠ = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ =
Cockroach Pig ≠ = = ≠ ≠ = = ≠ ≠ = ≠ ≠ = =

Scoreboard trajectory paired with 55% shoe-penetration state DEP316 (Four (4) -> 9/187).

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 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 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.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

  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 2 beads. Same depth → red (=).

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

DEP316 Penetration Depth
229 Dealt / 187 Remaining (55%)

Evaluated at Mid-Shoe Crossover (4.4 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP316 Rank 4 Supply
9 of 32 Remaining (4.81%)

Compares depleted density 4.81% against fresh 8-deck baseline 7.69% for Four (4).

DEP316 Player Draw vs Banker Stand Shift
P-Draw -14 bps / B-Stand 11 bps

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

DEP316 Fixed Tableau Gate
BANKER_TABLEAU[2][3] = true

Card removal alters entry probabilities into (2, 3) but never alters the fixed DRAW rule.

DEP316 Sample Coup Resolution
P(9+4)+3=6 vs B(10+2)=3 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP316.

COMBINATORIAL DEPLETION · DEP316

How Removing Four (4) at 229 Cards Affects P0-5 vs B-Stand (DEP316)

When shoe [DEP316] advances to 229 cards (55% depth), Four (4) supply drops from 32/416 (7.69%) to 9/187 (4.81%), nudging the Player 0..5 fifth-card draw rate versus Banker 6..7 stand rate.

[DEP316-B] Since Four (4) contributes 4 points, scarcity in [DEP316] moves Player draw probability by -14 bps and Banker stand probability by 11 bps without ever changing BANKER_TABLEAU[2][3] (draws a sixth card).

Depletion Matrix for DEP316 (Four (4) at 229/416 Cards)
DEP316 MetricDEP316 Fresh 416-ShoeDEP316 At 229 DealtDEP316 Tableau Effect
[DEP316:Shoe]416 Cards (0% Dealt)187 Left (55% Dealt)Mid-Shoe Crossover (4.4 decks dealt)
[DEP316:Rank]32/416 (7.69%)9/187 (4.81%)Point Value 4
[DEP316:Shift]Baseline Draw/StandP -14 bps / B 11 bpsP0-5 vs B-Stand
[DEP316:Hand]P=3 vs B=2, P3=3P=6 vs B=36c (P)
  • [DEP316-1] Verify [DEP316] 187 unseen cards remain after 229/416 exit.
  • [DEP316-2] Compare [DEP316] Four (4) density (9/187=4.81%) vs 7.69%.
  • [DEP316-3] Apply [DEP316] BANKER_TABLEAU[2][3]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP316

Why DEP316 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP316-C0] Auditioning [DEP316] at depth, Player opens 3 + 3 -> 6 while Banker opens 2 -> 3 across 6c (P in [DEP316]). Across [DEP316] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP316] BBPPBPBBPP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Four (4) is depleted to 9/187 in DEP316, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[2][3] remains true at every shoe depth.
MythDeep shoe penetration at 229/416 cards in DEP316 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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