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GMU QUESTION-DRIVEN · TRIAGE · DR068

Rule 1 Equal Depth Red (=) — Question-Driven Error Audit (DR068)

DR068 pairs Rule 1 Equal Depth Red (=) (New Big Road column row 1 with d_{k-1} == d_{k-1-m}) with Question-Driven Modality (Self-Test Triage): learners verify Prior column depth d_{k-1} = 2 matches reference depth d_{k-1-m} = 2, master Rule 1 Column-Switch Equality Case returning Red (=), and eliminate reading a red rule 1 mark as a banker win rather than equal column depth.

Drill Reference ID
DR068
Big Road Streaks
13 Cols
Big Eye Boy Total
20 Marks
Small Road Total
18 Dots
Engine-Verified Scoreboard · 25 Hands

Read the Board at Table Speed

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

DR068 drill board (PPBBPPPPBBPBBBPBPPBTPBBTP): 13 Big Road columns, 20 Big Eye Boy, 18 Small Road, and 14 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 #6

Column 3 has 4 beads. 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 4 beads. 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 #4

Column 3 has 4 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 1, 2 columns further back.
  2. Column 3 has 4 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

Cockroach Pig · Mark #2

Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

DR068 Target Coordinate
Rule 1 Equal Depth Red (=)

New Big Road column row 1 with d_{k-1} == d_{k-1-m}

DR068 Rule Classification
Question-Driven Error Audit

Rule 1 Column-Switch Equality Case returning Red (=)

DR068 Depth Comparison
13 Big Road Cols

Prior column depth d_{k-1} = 2 matches reference depth d_{k-1-m} = 2

DR068 Misconception Focus
Diagnostic Check

Reading a red Rule 1 mark as a Banker win rather than equal column depth

DR068 GMU Modality Goal
Question-Driven Modality (Self-Test Triage)

Confirm two completed columns share identical depth before marking red by diagnosing off-by-one column lookbacks and Case 2b vs Case 2c mixups

DR068 · Coordinate & Rule Specification

DR068 Rule 1 Equal Depth Red (=): Question-Driven Error Audit Walkthrough

Misconception audit DR068 (GMU QUESTION-DRIVEN · TRIAGE) addresses Rule 1 Equal Depth Red (=) by contrasting reading a red rule 1 mark as a banker win rather than equal column depth against Rule 1 Column-Switch Equality Case returning Red (=) on shoe PPBBPPPPB.

Looking at DR068 through Question-Driven Modality (Self-Test Triage), Column 3 has 4 beads. Column 2 has 2 beads. Different depth → blue (≠). Auditing 18 Small Road and 14 Cockroach Pig entries eliminates reading a red rule 1 mark as a banker win rather than equal column depth.

Table DR068: Rule 1 Equal Depth Red (=) specification under Question-Driven Error Audit.
DR068 Drill DimensionCoordinate / RuleGMU Modality Action
DR068 Matrix CoordinateNew Big Road column row 1 with d_{k-1} == d_{k-1-m}Question-Driven Modality (Self-Test Triage)
DR068 Rule & DepthRule 1 Column-Switch Equality Case returning Red (=)Prior column depth d_{k-1} = 2 matches reference depth d_{k-1-m} = 2
DR068 Diagnostic TargetReading a red Rule 1 mark as a Banker win rather than equal column depthConfirm two completed columns share identical depth before marking red
  • DR068 Step 1: Locate New Big Road column row 1 with d_{k-1} == d_{k-1-m} across the 13 columns of PPBBPPPPBBPB.
  • DR068 Step 2: Verify Prior column depth d_{k-1} = 2 matches reference depth d_{k-1-m} = 2 under Rule 1 Column-Switch Equality Case returning Red (=).
  • DR068 Step 3: Answer "Where does an off-by-one column count flip the derived mark color?" via diagnosing off-by-one column lookbacks and Case 2b vs Case 2c mixups.
DR068 · Question-Driven Modality (Self-Test Triage)

DR068 Misconception Diagnostic & Secondary Road Audit

Final checkpoint for DR068: Column 3 has 4 beads. Column 1 has 2 beads. Different depth → blue (≠). Applying Question-Driven Error Audit to Prior column depth d_{k-1} = 2 matches reference depth d_{k-1-m} = 2 resolves reading a red rule 1 mark as a banker win rather than equal column depth across 13 streaks.

Table Reality Check

Myth vs. Truth

MythIn DR068 (Rule 1 Equal Depth Red (=)), reading a red rule 1 mark as a banker win rather than equal column depth or reading red/blue derived marks as Banker/Player outcomes.
TruthRule 1 Column-Switch Equality Case returning Red (=) evaluates Prior column depth d_{k-1} = 2 matches reference depth d_{k-1-m} = 2; 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
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