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SHOE PENETRATION & DEPLETION [DEP193] · 70% DEPTH

Seven (7) Depletion at 291/416 Cards (70%): B5 Draw 4-7 Gate Impact #193

In shoe-depletion analysis DEP193, 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 B5 Draw 4-7 Gate frequency by 37 bps.

DEP193 Shoe Depth
291/416 (70%)
DEP193 7 Density
8/125 (6.40%)
DEP193 Draw Delta
37 bps
DEP193 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 P P B P B P P B B B P P P P B B
Big Eye Boy = = = = ≠ = = ≠ ≠ = ≠ ≠ = = ≠ ≠ =
Small Road = = ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = = ≠ =

Scoreboard trajectory paired with 70% shoe-penetration state DEP193 (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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Small Road Mark #3

Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

DEP193 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.

DEP193 Rank 7 Supply
8 of 32 Remaining (6.40%)

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

DEP193 Player Draw vs Banker Stand Shift
P-Draw 37 bps / B-Stand -35 bps

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

DEP193 Fixed Tableau Gate
BANKER_TABLEAU[5][4] = true

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

DEP193 Sample Coup Resolution
P(10+K)+4=4 vs B(A+4)=9 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP193.

COMBINATORIAL DEPLETION · DEP193

How Removing Seven (7) at 291 Cards Affects B5 Draw 4-7 Gate (DEP193)

Depletion vector [DEP193] 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 Banker 5 four-value draw threshold against 4..7.

[DEP193-B] Observing [DEP193], 7-value Seven (7) removal shifts Player 0..5 draws by 37 bps and Banker stands by -35 bps, leaving the mandatory B5 vs P3=4 rule (draws a sixth card) intact.

Depletion Matrix for DEP193 (Seven (7) at 291/416 Cards)
DEP193 MetricDEP193 Fresh 416-ShoeDEP193 At 291 DealtDEP193 Tableau Effect
[DEP193:Shoe]416 Cards (0% Dealt)125 Left (70% Dealt)Deep-Shoe Segment (5.6 decks dealt)
[DEP193:Rank]32/416 (7.69%)8/125 (6.40%)Point Value 7
[DEP193:Shift]Baseline Draw/StandP 37 bps / B -35 bpsB5 Draw 4-7 Gate
[DEP193:Hand]P=0 vs B=5, P3=4P=4 vs B=96c (B)
  • [DEP193-1] Verify [DEP193] 125 unseen cards remain after 291/416 exit.
  • [DEP193-2] Compare [DEP193] Seven (7) density (8/125=6.40%) vs 7.69%.
  • [DEP193-3] Apply [DEP193] BANKER_TABLEAU[5][4]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP193

Why DEP193 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP193-C10] Auditioning [DEP193] at depth, Player opens 0 + 4 -> 4 while Banker opens 5 -> 9 across 6c (B in [DEP193]). Across [DEP193] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP193] PPBBPPBPBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Seven (7) is depleted to 8/125 in DEP193, 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 291/416 cards in DEP193 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
  • 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