Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Depletion #145
SHOE PENETRATION & DEPLETION [DEP145] · 25% DEPTH

Ace (A) Depletion at 104/416 Cards (25%): B5 Draw 4-7 Gate Impact #145

In shoe-depletion analysis DEP145, 104 of 416 cards (25%) have exited the shoe, leaving 22 copies of Ace (A) among 312 unseen cards (7.05% vs baseline 7.69%) and shifting B5 Draw 4-7 Gate frequency by -29 bps.

DEP145 Shoe Depth
104/416 (25%)
DEP145 A Density
22/312 (7.05%)
DEP145 Draw Delta
-29 bps
DEP145 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 25% shoe-penetration state DEP145 (Ace (A) -> 22/312).

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

DEP145 Penetration Depth
104 Dealt / 312 Remaining (25%)

Evaluated at Early-Shoe Quarter Marker (2 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP145 Rank A Supply
22 of 32 Remaining (7.05%)

Compares depleted density 7.05% against fresh 8-deck baseline 7.69% for Ace (A).

DEP145 Player Draw vs Banker Stand Shift
P-Draw -29 bps / B-Stand 35 bps

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

DEP145 Fixed Tableau Gate
BANKER_TABLEAU[5][4] = true

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

DEP145 Sample Coup Resolution
P(10+K)+4=4 vs B(A+4)=5 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP145.

COMBINATORIAL DEPLETION · DEP145

How Removing Ace (A) at 104 Cards Affects B5 Draw 4-7 Gate (DEP145)

Tracking [DEP145] across 104/416 dealt cards leaves 22 remaining Ace (A) cards in the 312-card stub (7.05% vs baseline 7.69%), reshaping probabilities for the Banker 5 four-value draw threshold against 4..7.

[DEP145-B] Point value 1 (Ace (A)) directly feeds two-card sums: depleting it alters Player draw likelihood by -29 bps and Banker stand frequency by 35 bps, while Banker 5 vs P3=4 always draws a sixth card.

Depletion Matrix for DEP145 (Ace (A) at 104/416 Cards)
DEP145 MetricDEP145 Fresh 416-ShoeDEP145 At 104 DealtDEP145 Tableau Effect
[DEP145:Shoe]416 Cards (0% Dealt)312 Left (25% Dealt)Early-Shoe Quarter Marker (2 decks dealt)
[DEP145:Rank]32/416 (7.69%)22/312 (7.05%)Point Value 1
[DEP145:Shift]Baseline Draw/StandP -29 bps / B 35 bpsB5 Draw 4-7 Gate
[DEP145:Hand]P=0 vs B=5, P3=4P=4 vs B=56c (B)
  • [DEP145-1] Verify [DEP145] 312 unseen cards remain after 104/416 exit.
  • [DEP145-2] Compare [DEP145] Ace (A) density (22/312=7.05%) vs 7.69%.
  • [DEP145-3] Apply [DEP145] BANKER_TABLEAU[5][4]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP145

Why DEP145 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP145-C12] Auditioning [DEP145] at depth, Player opens 0 + 4 -> 4 while Banker opens 5 -> 5 across 6c (B in [DEP145]). Across [DEP145] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP145] PPBBPPBPBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Ace (A) is depleted to 22/312 in DEP145, 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 104/416 cards in DEP145 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

Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.

  • 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