Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Depletion #187
SHOE PENETRATION & DEPLETION [DEP187] · 70% DEPTH

Ace (A) Depletion at 291/416 Cards (70%): B5 Draw 4-7 Gate Impact #187

In shoe-depletion analysis DEP187, 291 of 416 cards (70%) have exited the shoe, leaving 6 copies of Ace (A) among 125 unseen cards (4.80% vs baseline 7.69%) and shifting B5 Draw 4-7 Gate frequency by -44 bps.

DEP187 Shoe Depth
291/416 (70%)
DEP187 A Density
6/125 (4.80%)
DEP187 Draw Delta
-44 bps
DEP187 Tableau Gate
B5vP6: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 P P P B B B P P P P B
Big Eye Boy = = ≠ = ≠ ≠ ≠ ≠ = ≠ = = = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ = = ≠ ≠
Cockroach Pig ≠ = = = ≠ = ≠ = ≠ ≠ ≠ = = ≠

Scoreboard trajectory paired with 70% shoe-penetration state DEP187 (Ace (A) -> 6/125).

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

DEP187 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.

DEP187 Rank A Supply
6 of 32 Remaining (4.80%)

Compares depleted density 4.80% against fresh 8-deck baseline 7.69% for Ace (A).

DEP187 Player Draw vs Banker Stand Shift
P-Draw -44 bps / B-Stand 37 bps

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

DEP187 Fixed Tableau Gate
BANKER_TABLEAU[5][6] = true

Card removal alters entry probabilities into (5, 6) but never alters the fixed DRAW rule.

DEP187 Sample Coup Resolution
P(10+K)+6=6 vs B(A+4)=7 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP187.

COMBINATORIAL DEPLETION · DEP187

How Removing Ace (A) at 291 Cards Affects B5 Draw 4-7 Gate (DEP187)

Tracking [DEP187] across 291/416 dealt cards leaves 6 remaining Ace (A) cards in the 125-card stub (4.80% vs baseline 7.69%), reshaping probabilities for the Banker 5 four-value draw threshold against 4..7.

[DEP187-B] Point value 1 (Ace (A)) directly feeds two-card sums: depleting it alters Player draw likelihood by -44 bps and Banker stand frequency by 37 bps, while Banker 5 vs P3=6 always draws a sixth card.

Depletion Matrix for DEP187 (Ace (A) at 291/416 Cards)
DEP187 MetricDEP187 Fresh 416-ShoeDEP187 At 291 DealtDEP187 Tableau Effect
[DEP187:Shoe]416 Cards (0% Dealt)125 Left (70% Dealt)Deep-Shoe Segment (5.6 decks dealt)
[DEP187:Rank]32/416 (7.69%)6/125 (4.80%)Point Value 1
[DEP187:Shift]Baseline Draw/StandP -44 bps / B 37 bpsB5 Draw 4-7 Gate
[DEP187:Hand]P=0 vs B=5, P3=6P=6 vs B=76c (B)
  • [DEP187-1] Verify [DEP187] 125 unseen cards remain after 291/416 exit.
  • [DEP187-2] Compare [DEP187] Ace (A) density (6/125=4.80%) vs 7.69%.
  • [DEP187-3] Apply [DEP187] BANKER_TABLEAU[5][6]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP187

Why DEP187 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP187-C7] Auditioning [DEP187] at depth, Player opens 0 + 6 -> 6 while Banker opens 5 -> 7 across 6c (B in [DEP187]). Across [DEP187] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP187] PPBBPBPPBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Ace (A) is depleted to 6/125 in DEP187, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[5][6] remains true at every shoe depth.
MythDeep shoe penetration at 291/416 cards in DEP187 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