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SHOE PENETRATION & DEPLETION [DEP317] · 55% DEPTH

Five (5) Depletion at 229/416 Cards (55%): P0-5 vs B-Stand Impact #317

In shoe-depletion analysis DEP317, 229 of 416 cards (55%) have exited the shoe, leaving 12 copies of Five (5) among 187 unseen cards (6.42% vs baseline 7.69%) and shifting P0-5 vs B-Stand frequency by -19 bps.

DEP317 Shoe Depth
229/416 (55%)
DEP317 5 Density
12/187 (6.42%)
DEP317 Draw Delta
-19 bps
DEP317 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 55% shoe-penetration state DEP317 (Five (5) -> 12/187).

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

DEP317 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.

DEP317 Rank 5 Supply
12 of 32 Remaining (6.42%)

Compares depleted density 6.42% against fresh 8-deck baseline 7.69% for Five (5).

DEP317 Player Draw vs Banker Stand Shift
P-Draw -19 bps / B-Stand 21 bps

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

DEP317 Fixed Tableau Gate
BANKER_TABLEAU[2][0] = true

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

DEP317 Sample Coup Resolution
P(2+2)+10=4 vs B(8+4)=5 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP317.

COMBINATORIAL DEPLETION · DEP317

How Removing Five (5) at 229 Cards Affects P0-5 vs B-Stand (DEP317)

Within shoe segment [DEP317] at 229 cards out, only 12 of 32 initial Five (5) cards remain inside 187 unseen cards (6.42% vs 7.69%), modifying the Player 0..5 fifth-card draw rate versus Banker 6..7 stand rate.

[DEP317-B] Removing 5-point Five (5) cards adjusts Player's 0..5 draw incidence by -19 bps and Banker's standing share by 21 bps; once B=2 faces fifth-card 0, the rulebook draws a sixth card.

Depletion Matrix for DEP317 (Five (5) at 229/416 Cards)
DEP317 MetricDEP317 Fresh 416-ShoeDEP317 At 229 DealtDEP317 Tableau Effect
[DEP317:Shoe]416 Cards (0% Dealt)187 Left (55% Dealt)Mid-Shoe Crossover (4.4 decks dealt)
[DEP317:Rank]32/416 (7.69%)12/187 (6.42%)Point Value 5
[DEP317:Shift]Baseline Draw/StandP -19 bps / B 21 bpsP0-5 vs B-Stand
[DEP317:Hand]P=4 vs B=2, P3=0P=4 vs B=56c (B)
  • [DEP317-1] Verify [DEP317] 187 unseen cards remain after 229/416 exit.
  • [DEP317-2] Compare [DEP317] Five (5) density (12/187=6.42%) vs 7.69%.
  • [DEP317-3] Apply [DEP317] BANKER_TABLEAU[2][0]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP317

Why DEP317 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP317-C7] Auditioning [DEP317] at depth, Player opens 4 + 0 -> 4 while Banker opens 2 -> 5 across 6c (B in [DEP317]). Across [DEP317] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP317] PPBBPBPPBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Five (5) is depleted to 12/187 in DEP317, 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 229/416 cards in DEP317 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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