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SHOE PENETRATION & DEPLETION [DEP307] · 40% DEPTH

Nine (9) Depletion at 166/416 Cards (40%): P0-5 vs B-Stand Impact #307

In shoe-depletion analysis DEP307, 166 of 416 cards (40%) have exited the shoe, leaving 15 copies of Nine (9) among 250 unseen cards (6.00% vs baseline 7.69%) and shifting P0-5 vs B-Stand frequency by 34 bps.

DEP307 Shoe Depth
166/416 (40%)
DEP307 9 Density
15/250 (6.00%)
DEP307 Draw Delta
34 bps
DEP307 Tableau Gate
B2vP2: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 DEP307 (Nine (9) -> 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

DEP307 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.

DEP307 Rank 9 Supply
15 of 32 Remaining (6.00%)

Compares depleted density 6.00% against fresh 8-deck baseline 7.69% for Nine (9).

DEP307 Player Draw vs Banker Stand Shift
P-Draw 34 bps / B-Stand -19 bps

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

DEP307 Fixed Tableau Gate
BANKER_TABLEAU[2][2] = true

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

DEP307 Sample Coup Resolution
P(10+K)+2=2 vs B(8+4)=9 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP307.

COMBINATORIAL DEPLETION · DEP307

How Removing Nine (9) at 166 Cards Affects P0-5 vs B-Stand (DEP307)

Penetration profile [DEP307] fixes the shoe at 166 dealt and 250 remaining with 15 Nine (9) cards (6.00% density vs 7.69%), testing sensitivity of the Player 0..5 fifth-card draw rate versus Banker 6..7 stand rate.

[DEP307-B] Depleting Nine (9) (pip value 9) induces a 34-bps shift in Player 0..5 draws and a -19-bps shift in Banker stands; inside coordinate B2-P3(2), the dealer still draws a sixth card.

Depletion Matrix for DEP307 (Nine (9) at 166/416 Cards)
DEP307 MetricDEP307 Fresh 416-ShoeDEP307 At 166 DealtDEP307 Tableau Effect
[DEP307:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP307:Rank]32/416 (7.69%)15/250 (6.00%)Point Value 9
[DEP307:Shift]Baseline Draw/StandP 34 bps / B -19 bpsP0-5 vs B-Stand
[DEP307:Hand]P=0 vs B=2, P3=2P=2 vs B=96c (B)
  • [DEP307-1] Verify [DEP307] 250 unseen cards remain after 166/416 exit.
  • [DEP307-2] Compare [DEP307] Nine (9) density (15/250=6.00%) vs 7.69%.
  • [DEP307-3] Apply [DEP307] BANKER_TABLEAU[2][2]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP307

Why DEP307 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP307-C2] Auditioning [DEP307] at depth, Player opens 0 + 2 -> 2 while Banker opens 2 -> 9 across 6c (B in [DEP307]). Across [DEP307] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP307] PPBBPBPBBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Nine (9) is depleted to 15/250 in DEP307, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[2][2] remains true at every shoe depth.
MythDeep shoe penetration at 166/416 cards in DEP307 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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