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SHOE PENETRATION & DEPLETION [DEP165] · 40% DEPTH

Seven (7) Depletion at 166/416 Cards (40%): B5 Draw 4-7 Gate Impact #165

In shoe-depletion analysis DEP165, 166 of 416 cards (40%) have exited the shoe, leaving 17 copies of Seven (7) among 250 unseen cards (6.80% vs baseline 7.69%) and shifting B5 Draw 4-7 Gate frequency by 27 bps.

DEP165 Shoe Depth
166/416 (40%)
DEP165 7 Density
17/250 (6.80%)
DEP165 Draw Delta
27 bps
DEP165 Tableau Gate
B5vP4:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 40% shoe-penetration state DEP165 (Seven (7) -> 17/250).

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

DEP165 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.

DEP165 Rank 7 Supply
17 of 32 Remaining (6.80%)

Compares depleted density 6.80% against fresh 8-deck baseline 7.69% for Seven (7).

DEP165 Player Draw vs Banker Stand Shift
P-Draw 27 bps / B-Stand -13 bps

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

DEP165 Fixed Tableau Gate
BANKER_TABLEAU[5][4] = true

Card removal alters entry probabilities into (5, 4) but never alters the fixed DRAW rule.

DEP165 Sample Coup Resolution
P(10+2)+4=6 vs B(A+4)=1 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP165.

COMBINATORIAL DEPLETION · DEP165

How Removing Seven (7) at 166 Cards Affects B5 Draw 4-7 Gate (DEP165)

Depletion vector [DEP165] pairs Mid-Early Penetration (3.2 decks dealt) (250 cards left) with 17 remaining Seven (7) cards (6.80% vs 7.69%), quantifying the shift in the Banker 5 four-value draw threshold against 4..7.

[DEP165-B] Observing [DEP165], 7-value Seven (7) removal shifts Player 0..5 draws by 27 bps and Banker stands by -13 bps, leaving the mandatory B5 vs P3=4 rule (draws a sixth card) intact.

Depletion Matrix for DEP165 (Seven (7) at 166/416 Cards)
DEP165 MetricDEP165 Fresh 416-ShoeDEP165 At 166 DealtDEP165 Tableau Effect
[DEP165:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP165:Rank]32/416 (7.69%)17/250 (6.80%)Point Value 7
[DEP165:Shift]Baseline Draw/StandP 27 bps / B -13 bpsB5 Draw 4-7 Gate
[DEP165:Hand]P=2 vs B=5, P3=4P=6 vs B=16c (P)
  • [DEP165-1] Verify [DEP165] 250 unseen cards remain after 166/416 exit.
  • [DEP165-2] Compare [DEP165] Seven (7) density (17/250=6.80%) vs 7.69%.
  • [DEP165-3] Apply [DEP165] BANKER_TABLEAU[5][4]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP165

Why DEP165 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP165-C9] Auditioning [DEP165] at depth, Player opens 2 + 4 -> 6 while Banker opens 5 -> 1 across 6c (P in [DEP165]). Across [DEP165] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP165] PPBBBPPPPB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Seven (7) is depleted to 17/250 in DEP165, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[5][4] remains true at every shoe depth.
MythDeep shoe penetration at 166/416 cards in DEP165 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.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

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
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android