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SHOE PENETRATION & DEPLETION [DEP333] · 70% DEPTH

Seven (7) Depletion at 291/416 Cards (70%): P0-5 vs B-Stand Impact #333

In shoe-depletion analysis DEP333, 291 of 416 cards (70%) have exited the shoe, leaving 8 copies of Seven (7) among 125 unseen cards (6.40% vs baseline 7.69%) and shifting P0-5 vs B-Stand frequency by 34 bps.

DEP333 Shoe Depth
291/416 (70%)
DEP333 7 Density
8/125 (6.40%)
DEP333 Draw Delta
34 bps
DEP333 Tableau Gate
B2vP0: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 P B B P B B B P P P B P P
Big Eye Boy = = ≠ = ≠ ≠ = = ≠ ≠ = ≠ = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ =
Cockroach Pig ≠ = = ≠ ≠ = = ≠ ≠ = ≠ ≠ = =

Scoreboard trajectory paired with 70% shoe-penetration state DEP333 (Seven (7) -> 8/125).

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

DEP333 Penetration Depth
291 Dealt / 125 Remaining (70%)

Evaluated at Deep-Shoe Segment (5.6 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP333 Rank 7 Supply
8 of 32 Remaining (6.40%)

Compares depleted density 6.40% against fresh 8-deck baseline 7.69% for Seven (7).

DEP333 Player Draw vs Banker Stand Shift
P-Draw 34 bps / B-Stand -21 bps

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

DEP333 Fixed Tableau Gate
BANKER_TABLEAU[2][0] = true

Card removal alters entry probabilities into (2, 0) but never alters the fixed DRAW rule.

DEP333 Sample Coup Resolution
P(10+2)+10=2 vs B(8+4)=3 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP333.

COMBINATORIAL DEPLETION · DEP333

How Removing Seven (7) at 291 Cards Affects P0-5 vs B-Stand (DEP333)

Depletion vector [DEP333] pairs Deep-Shoe Segment (5.6 decks dealt) (125 cards left) with 8 remaining Seven (7) cards (6.40% vs 7.69%), quantifying the shift in the Player 0..5 fifth-card draw rate versus Banker 6..7 stand rate.

[DEP333-B] Observing [DEP333], 7-value Seven (7) removal shifts Player 0..5 draws by 34 bps and Banker stands by -21 bps, leaving the mandatory B2 vs P3=0 rule (draws a sixth card) intact.

Depletion Matrix for DEP333 (Seven (7) at 291/416 Cards)
DEP333 MetricDEP333 Fresh 416-ShoeDEP333 At 291 DealtDEP333 Tableau Effect
[DEP333:Shoe]416 Cards (0% Dealt)125 Left (70% Dealt)Deep-Shoe Segment (5.6 decks dealt)
[DEP333:Rank]32/416 (7.69%)8/125 (6.40%)Point Value 7
[DEP333:Shift]Baseline Draw/StandP 34 bps / B -21 bpsP0-5 vs B-Stand
[DEP333:Hand]P=2 vs B=2, P3=0P=2 vs B=36c (B)
  • [DEP333-1] Verify [DEP333] 125 unseen cards remain after 291/416 exit.
  • [DEP333-2] Compare [DEP333] Seven (7) density (8/125=6.40%) vs 7.69%.
  • [DEP333-3] Apply [DEP333] BANKER_TABLEAU[2][0]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP333

Why DEP333 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP333-C2] Auditioning [DEP333] at depth, Player opens 2 + 0 -> 2 while Banker opens 2 -> 3 across 6c (B in [DEP333]). Across [DEP333] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP333] PPBBPBPPBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Seven (7) is depleted to 8/125 in DEP333, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[2][0] remains true at every shoe depth.
MythDeep shoe penetration at 291/416 cards in DEP333 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