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GMU ANALYTICAL · INDEX PROOF · DR229

Banker 6 vs 6-7 Third Card — Analytical Coordinate Proof (DR229)

DR229 pairs Banker 6 vs 6-7 Third Card (Banker two-card 6 evaluating Player's third card in [6,7]) with Analytical Modality (Formal Index Notation): learners verify Banker stands on 6 unless Player just drew a third card of 6 or 7, master Banker Total-6 Conditional Tableau Window (Draw Only on 6-7), and eliminate standing unconditionally on banker 6 when player drew a third card 6 or 7.

Drill Reference ID
DR229
Big Road Streaks
10 Cols
Big Eye Boy Total
19 Marks
Small Road Total
16 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 P B P B B P
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = = = ≠ ≠ = ≠ ≠
Small Road = ≠ = ≠ = ≠ ≠ = ≠ = = ≠ = ≠ ≠ ≠
Cockroach Pig = = ≠ = = = ≠ ≠ ≠ = = ≠

DR229 drill board (BBPPPBBBBPPBPPPPPBPBBP): 10 Big Road columns, 19 Big Eye Boy, 16 Small Road, and 12 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 #5

This bead is at Row 3. Column 2 has a bead at Row 3 too → red (=).

  1. Column 3 goes down to Row 3, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 3 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 #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

DR229 Target Coordinate
Banker 6 vs 6-7 Third Card

Banker two-card 6 evaluating Player's third card in [6,7]

DR229 Rule Classification
Analytical Coordinate Proof

Banker Total-6 Conditional Tableau Window (Draw Only on 6-7)

DR229 Depth Comparison
10 Big Road Cols

Banker stands on 6 unless Player just drew a third card of 6 or 7

DR229 Misconception Focus
Diagnostic Check

Standing unconditionally on Banker 6 when Player drew a third card 6 or 7

DR229 GMU Modality Goal
Analytical Modality (Formal Index Notation)

Check if Player's third card was 6 or 7 before standing on Banker 6 by writing out (k, r) and (k-m, r) coordinates to prove the derived output

DR229 · Coordinate & Rule Specification

DR229 Banker 6 vs 6-7 Third Card: Analytical Coordinate Proof Walkthrough

Guided by Analytical Modality (Formal Index Notation), drill DR229 walks through Banker 6 vs 6-7 Third Card (Banker Total-6 Conditional Tableau Window (Draw Only on 6-7)) across 10 Big Road streaks and 19 derived marks in BBPPPBBBB-PPBPPPPPB.

For coordinate Banker two-card 6 evaluating Player's third card in [6,7] in DR229, This bead is at Row 3. Column 2 has a bead at Row 3 too → red (=). Meanwhile, 16 Small Road and 12 Cockroach Pig comparisons reinforce Analytical Coordinate Proof.

Table DR229: Banker 6 vs 6-7 Third Card specification under Analytical Coordinate Proof.
DR229 Drill DimensionCoordinate / RuleGMU Modality Action
DR229 Matrix CoordinateBanker two-card 6 evaluating Player's third card in [6,7]Analytical Modality (Formal Index Notation)
DR229 Rule & DepthBanker Total-6 Conditional Tableau Window (Draw Only on 6-7)Banker stands on 6 unless Player just drew a third card of 6 or 7
DR229 Diagnostic TargetStanding unconditionally on Banker 6 when Player drew a third card 6 or 7Check if Player's third card was 6 or 7 before standing on Banker 6
  • DR229 Step 1: Locate Banker two-card 6 evaluating Player's third card in [6,7] across the 10 columns of BBPPPBBBBPPB.
  • DR229 Step 2: Verify Banker stands on 6 unless Player just drew a third card of 6 or 7 under Banker Total-6 Conditional Tableau Window (Draw Only on 6-7).
  • DR229 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.
DR229 · Analytical Modality (Formal Index Notation)

DR229 Misconception Diagnostic & Secondary Road Audit

Closing DR229 (Banker 6 vs 6-7 Third Card · Analytical Coordinate Proof), This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=). Mastering Banker Total-6 Conditional Tableau Window (Draw Only on 6-7) over 10 columns builds lasting scoreboard accuracy.

Table Reality Check

Myth vs. Truth

MythIn DR229 (Banker 6 vs 6-7 Third Card), standing unconditionally on banker 6 when player drew a third card 6 or 7 or reading red/blue derived marks as Banker/Player outcomes.
TruthBanker Total-6 Conditional Tableau Window (Draw Only on 6-7) evaluates Banker stands on 6 unless Player just drew a third card of 6 or 7; derived road colors reflect structural symmetry only and never alter independent shoe probabilities.
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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