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GMU HANDS-ON MODALITY · WORKOUT · DR103

Rule 2 Case 2c Over-Depth Red — Hands-On Entry Workout (DR103)

DR103 pairs Rule 2 Case 2c Over-Depth Red (Continuing column row r >= d_{k-m} + 2 where two reference cells are empty) with Hands-On Modality (Interactive Plotting): learners verify Both (k-m, r) and (k-m, r-1) are empty because r exceeds d_{k-m} by 2+, master Rule 2 Case 2c Consecutive Empty Reference Cells returning Red (=), and eliminate forgetting rule 2's third case where two empty reference cells produce red (=).

Drill Reference ID
DR103
Big Road Streaks
10 Cols
Big Eye Boy Total
20 Marks
Small Road Total
17 Dots
Engine-Verified Scoreboard · 24 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 B P
Big Eye Boy = ≠ ≠ = ≠ = = = ≠ = ≠ = = ≠ = ≠ = = ≠ ≠
Small Road = = = ≠ = ≠ = ≠ = ≠ ≠ = ≠ = ≠ ≠ =
Cockroach Pig = = = = ≠ ≠ = ≠ ≠ = = = ≠ ≠ =

DR103 drill board (BBPPPBBPPBBBBPPPBBPPBPPT): 10 Big Road columns, 20 Big Eye Boy, 17 Small Road, and 15 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 #1

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

  1. Column 4 goes down to Row 2, so use Rule 2: look 3 columns 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.

Verified Reference Data

Key Facts & Table Specifications

DR103 Target Coordinate
Rule 2 Case 2c Over-Depth Red

Continuing column row r >= d_{k-m} + 2 where two reference cells are empty

DR103 Rule Classification
Hands-On Entry Workout

Rule 2 Case 2c Consecutive Empty Reference Cells returning Red (=)

DR103 Depth Comparison
10 Big Road Cols

Both (k-m, r) and (k-m, r-1) are empty because r exceeds d_{k-m} by 2+

DR103 Misconception Focus
Diagnostic Check

Forgetting Rule 2's third case where two empty reference cells produce red (=)

DR103 GMU Modality Goal
Hands-On Modality (Interactive Plotting)

Explain why extending a long streak 2+ rows past d_{k-m} turns red (=) by entering each coup into the calculator and verifying the emitted mark

DR103 · Coordinate & Rule Specification

DR103 Rule 2 Case 2c Over-Depth Red: Hands-On Entry Workout Walkthrough

Study drill DR103 (Hands-On Entry Workout) structures Rule 2 Case 2c Over-Depth Red around What mark appears when you append the next B or P coup to this sequence? while tracing 20 Big Eye Boy marks across BBPPPBBPPBBBBPPPBB.

In drill DR103 (Rule 2 Case 2c Over-Depth Red), Column 3 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠). Observing 17 Small Road dots and 15 Cockroach Pig slashes under Hands-On Modality (Interactive Plotting) completes explain why extending a long streak 2+ rows past d_{k-m} turns red (=).

Table DR103: Rule 2 Case 2c Over-Depth Red specification under Hands-On Entry Workout.
DR103 Drill DimensionCoordinate / RuleGMU Modality Action
DR103 Matrix CoordinateContinuing column row r >= d_{k-m} + 2 where two reference cells are emptyHands-On Modality (Interactive Plotting)
DR103 Rule & DepthRule 2 Case 2c Consecutive Empty Reference Cells returning Red (=)Both (k-m, r) and (k-m, r-1) are empty because r exceeds d_{k-m} by 2+
DR103 Diagnostic TargetForgetting Rule 2's third case where two empty reference cells produce red (=)Explain why extending a long streak 2+ rows past d_{k-m} turns red (=)
  • DR103 Step 1: Locate Continuing column row r >= d_{k-m} + 2 where two reference cells are empty across the 10 columns of BBPPPBBPPBBB.
  • DR103 Step 2: Verify Both (k-m, r) and (k-m, r-1) are empty because r exceeds d_{k-m} by 2+ under Rule 2 Case 2c Consecutive Empty Reference Cells returning Red (=).
  • DR103 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.
DR103 · Hands-On Modality (Interactive Plotting)

DR103 Misconception Diagnostic & Secondary Road Audit

Secondary road verification for DR103 (Hands-On Entry Workout) adds: Column 4 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠). This proves how Continuing column row r >= d_{k-m} + 2 where two reference cells are empty and Both (k-m, r) and (k-m, r-1) are empty because r exceeds d_{k-m} by 2+ work across 10 streaks.

Table Reality Check

Myth vs. Truth

MythIn DR103 (Rule 2 Case 2c Over-Depth Red), forgetting rule 2's third case where two empty reference cells produce red (=) or reading red/blue derived marks as Banker/Player outcomes.
TruthRule 2 Case 2c Consecutive Empty Reference Cells returning Red (=) evaluates Both (k-m, r) and (k-m, r-1) are empty because r exceeds d_{k-m} by 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
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android