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GMU ANALYTICAL · INDEX PROOF · DR189

Player Stands 6 / Banker 5 — Analytical Coordinate Proof (DR189)

DR189 pairs Player Stands 6 / Banker 5 (Two-card Player 6 standing pat while Banker holds two-card 5) with Analytical Modality (Formal Index Notation): learners verify Banker uses the 0-5 draw rule instead of the three-card tableau, master Two-Card Branch: Banker Draws on 0-5 When Player Stands, and eliminate applying the third-card matrix when player stood pat on two cards.

Drill Reference ID
DR189
Big Road Streaks
8 Cols
Big Eye Boy Total
18 Marks
Small Road Total
15 Dots
Engine-Verified Scoreboard · 22 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P P B B B B P P B P P P P B B P P
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = = = ≠ = ≠ =
Small Road = ≠ = ≠ = ≠ ≠ = ≠ = = ≠ ≠ ≠ =
Cockroach Pig = = ≠ = = = ≠ ≠ = = ≠

DR189 drill board (BBPPPBBBBPPBPPPPPTBBPP): 8 Big Road columns, 18 Big Eye Boy, 15 Small Road, and 11 Cockroach Pig marks.

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 #1

This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).

  1. Column 2 goes down to Row 2, so use Rule 2: look 1 column back, at Column 1.
  2. Column 1 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 1 stopped exactly one row above this bead.

Small Road · Mark #5

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

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns 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.

Cockroach Pig · Mark #3

Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

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

DR189 Target Coordinate
Player Stands 6 / Banker 5

Two-card Player 6 standing pat while Banker holds two-card 5

DR189 Rule Classification
Analytical Coordinate Proof

Two-Card Branch: Banker Draws on 0-5 When Player Stands

DR189 Depth Comparison
8 Big Road Cols

Banker uses the 0-5 draw rule instead of the three-card tableau

DR189 Misconception Focus
Diagnostic Check

Applying the third-card matrix when Player stood pat on two cards

DR189 GMU Modality Goal
Analytical Modality (Formal Index Notation)

Switch to the 0-5 / 6-7 rule whenever Player takes no third card by writing out (k, r) and (k-m, r) coordinates to prove the derived output

DR189 · Coordinate & Rule Specification

DR189 Player Stands 6 / Banker 5: Analytical Coordinate Proof Walkthrough

Built around GMU ANALYTICAL · INDEX PROOF, unit DR189 examines Player Stands 6 / Banker 5 (Two-card Player 6 standing pat while Banker holds two-card 5), using 18 Big Eye Boy comparisons in BBPPPBBBB to achieve switch to the 0-5 / 6-7 rule whenever player takes no third card.

Checking the first explained mark in DR189 (Player Stands 6 / Banker 5), This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=). Simultaneously, Small Road plots 15 marks and Cockroach Pig plots 11 marks while writing out (k, r) and (k-m, r) coordinates to prove the derived output.

Table DR189: Player Stands 6 / Banker 5 specification under Analytical Coordinate Proof.
DR189 Drill DimensionCoordinate / RuleGMU Modality Action
DR189 Matrix CoordinateTwo-card Player 6 standing pat while Banker holds two-card 5Analytical Modality (Formal Index Notation)
DR189 Rule & DepthTwo-Card Branch: Banker Draws on 0-5 When Player StandsBanker uses the 0-5 draw rule instead of the three-card tableau
DR189 Diagnostic TargetApplying the third-card matrix when Player stood pat on two cardsSwitch to the 0-5 / 6-7 rule whenever Player takes no third card
  • DR189 Step 1: Locate Two-card Player 6 standing pat while Banker holds two-card 5 across the 8 columns of BBPPPBBBBPPB.
  • DR189 Step 2: Verify Banker uses the 0-5 draw rule instead of the three-card tableau under Two-Card Branch: Banker Draws on 0-5 When Player Stands.
  • DR189 Step 3: Answer "What are the exact 1-based and 0-based indices for the active comparison?" via writing out (k, r) and (k-m, r) coordinates to prove the derived output.
DR189 · Analytical Modality (Formal Index Notation)

DR189 Misconception Diagnostic & Secondary Road Audit

On the companion derived road in DR189, This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=). Combining Analytical Coordinate Proof with Two-Card Branch: Banker Draws on 0-5 When Player Stands keeps 8-column reading error-free.

Table Reality Check

Myth vs. Truth

MythIn DR189 (Player Stands 6 / Banker 5), applying the third-card matrix when player stood pat on two cards or reading red/blue derived marks as Banker/Player outcomes.
TruthTwo-Card Branch: Banker Draws on 0-5 When Player Stands evaluates Banker uses the 0-5 draw rule instead of the three-card tableau; derived road colors reflect structural symmetry only and never alter independent shoe probabilities.
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