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GMU HANDS-ON MODALITY · WORKOUT · DR073

Rule 1 Unequal Depth Blue (≠) — Hands-On Entry Workout (DR073)

DR073 pairs Rule 1 Unequal Depth Blue (≠) (New Big Road column row 1 with d_{k-1} != d_{k-1-m}) with Hands-On Modality (Interactive Plotting): learners verify Prior column depth d_{k-1} = 3 differs from reference depth d_{k-1-m} = 1, master Rule 1 Column-Switch Inequality Case returning Blue (≠), and eliminate assuming blue on row 1 signals a player outcome instead of unequal column lengths.

Drill Reference ID
DR073
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 P P B B B B P P P B B P P
Big Eye Boy = ≠ ≠ = ≠ = = = ≠ = ≠ = = = = = ≠ =
Small Road = = = ≠ = ≠ = ≠ = ≠ = ≠ = ≠ =
Cockroach Pig = = = = ≠ ≠ = ≠ = ≠ = = =

DR073 drill board (BBPPPBBPPBBBBPPPTPBBPP): 8 Big Road columns, 18 Big Eye Boy, 15 Small Road, and 13 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

Column 3 has 2 beads. Column 2 has 3 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 2 beads. Column 2 has 3 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 4 has 2 beads. Column 2 has 3 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 2 beads. Column 2 has 3 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

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

DR073 Target Coordinate
Rule 1 Unequal Depth Blue (≠)

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

DR073 Rule Classification
Hands-On Entry Workout

Rule 1 Column-Switch Inequality Case returning Blue (≠)

DR073 Depth Comparison
8 Big Road Cols

Prior column depth d_{k-1} = 3 differs from reference depth d_{k-1-m} = 1

DR073 Misconception Focus
Diagnostic Check

Assuming blue on row 1 signals a Player outcome instead of unequal column lengths

DR073 GMU Modality Goal
Hands-On Modality (Interactive Plotting)

Spot unequal completed column depths on a Big Road side change by entering each coup into the calculator and verifying the emitted mark

DR073 · Coordinate & Rule Specification

DR073 Rule 1 Unequal Depth Blue (≠): Hands-On Entry Workout Walkthrough

Through entering each coup into the calculator and verifying the emitted mark in DR073, Rule 1 Unequal Depth Blue (≠) demonstrates Prior column depth d_{k-1} = 3 differs from reference depth d_{k-1-m} = 1 across 8 Big Road columns and 18 derived comparisons.

During DR073 practice (GMU HANDS-ON MODALITY · WORKOUT), Column 3 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠). Pairing 15 Small Road and 13 Cockroach Pig entries with New Big Road column row 1 with d_{k-1} != d_{k-1-m} resolves What mark appears when you append the next B or P coup to this sequence?

Table DR073: Rule 1 Unequal Depth Blue (≠) specification under Hands-On Entry Workout.
DR073 Drill DimensionCoordinate / RuleGMU Modality Action
DR073 Matrix CoordinateNew Big Road column row 1 with d_{k-1} != d_{k-1-m}Hands-On Modality (Interactive Plotting)
DR073 Rule & DepthRule 1 Column-Switch Inequality Case returning Blue (≠)Prior column depth d_{k-1} = 3 differs from reference depth d_{k-1-m} = 1
DR073 Diagnostic TargetAssuming blue on row 1 signals a Player outcome instead of unequal column lengthsSpot unequal completed column depths on a Big Road side change
  • DR073 Step 1: Locate New Big Road column row 1 with d_{k-1} != d_{k-1-m} across the 8 columns of BBPPPBBPPBBB.
  • DR073 Step 2: Verify Prior column depth d_{k-1} = 3 differs from reference depth d_{k-1-m} = 1 under Rule 1 Column-Switch Inequality Case returning Blue (≠).
  • DR073 Step 3: Answer "What mark appears when you append the next B or P coup to this sequence?" via entering each coup into the calculator and verifying the emitted mark.
DR073 · Hands-On Modality (Interactive Plotting)

DR073 Misconception Diagnostic & Secondary Road Audit

Further along the DR073 scoreboard (8 columns), Column 4 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠). Answering "What mark appears when you append the next B or P coup to this sequence?" cements Rule 1 Column-Switch Inequality Case returning Blue (≠).

Table Reality Check

Myth vs. Truth

MythIn DR073 (Rule 1 Unequal Depth Blue (≠)), assuming blue on row 1 signals a player outcome instead of unequal column lengths or reading red/blue derived marks as Banker/Player outcomes.
TruthRule 1 Column-Switch Inequality Case returning Blue (≠) evaluates Prior column depth d_{k-1} = 3 differs from reference depth d_{k-1-m} = 1; 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
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