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NOTABLE SHOE #06 · RULE 2 CASE 3 (`BPPP`) PROOF

Rule 2 Case 3 Showcase Shoe (`BPPP`): Why Going Two Rows Past a Short Column Marks Red (=)

Opening `BPPP` Sequence Demonstrating Rule 2 Case 2 (Blue) vs Case 3 (Red): across 68 verified 8-deck hands (37 Banker, 31 Player, 0 Tie), this shoe forms 32 Big Road columns spanning 32 display columns, generating 66 Big Eye Boy marks (31R/35B), 63 Small Road marks (21R/42B), and 61 Cockroach Pig marks (31R/30B).

Total Verified Hands
68
Outcome Distribution
37B / 31P / 0T
Longest Streaks
4B · 4P
Big Road Columns
32 Cols
Engine-Verified Scoreboard · 68 Hands

Read the Board at Table Speed

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Big Road B P P P B B P P P P B B P B B B B P P B P P P B B B P B B P P B B B B P B P B B P P P B B B B P P B P P P B B B P B B P P B B B B P B P
Big Eye Boy ≠ = ≠ = ≠ = ≠ = ≠ = ≠ ≠ ≠ = = ≠ = ≠ ≠ ≠ = ≠ = = = ≠ ≠ ≠ = = = ≠ = ≠ ≠ = = ≠ ≠ = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ = = = ≠ ≠ ≠ = = = ≠ = ≠ ≠ =
Small Road ≠ ≠ = = ≠ ≠ = = ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ ≠ ≠
Cockroach Pig ≠ = = ≠ = ≠ ≠ = = = = = = ≠ = = = ≠ ≠ = = = ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ = = ≠ = = ≠ = = ≠ = ≠ ≠ = = ≠ = ≠ ≠ = = ≠ ≠ ≠

SHOE-1A-06: 68 hands (37B / 31P / 0T) — max streaks 4B & 4P across 32 logical columns.

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
Hand 3 (`BPP` Row 2): Rule 2 Case 2 → Blue (≠)

This bead is at Row 2. Column 1 stopped at Row 1, one row above → blue (≠).

  1. Column 2 goes down to Row 2, so use Rule 2: look 1 column back, at Column 1.
  2. Column 1 stopped at Row 1, one row above → blue (≠).

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.

Hand 4 (`BPPP` Row 3): Rule 2 Case 3 → Red (=)

This bead is at Row 3. Column 1 stopped at Row 1, more than one row above → red (=).

  1. Column 2 goes down to Row 3, so use Rule 2: look 1 column back, at Column 1.
  2. Column 1 stopped at Row 1, more than one row above → 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 Case 3 Confirmation

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

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

Verified Reference Data

Key Facts & Table Specifications

SHOE-1A-06 Hand & Outcome Breakdown
68 Hands (37 Banker / 31 Player / 0 Tie)

Deterministic seed 104106 — 54.41% Banker share of decided hands.

SHOE-1A-06 Peak Streak & Column Span
Max 4B / Max 4P Across 32 Logical Columns (32 Display Cols)

Phenomenon: Opening `BPPP` Sequence Demonstrating Rule 2 Case 2 (Blue) vs Case 3 (Red).

SHOE-1A-06 Big Eye Boy Split (Lookback 1)
66 Marks: 31 Red (=) / 35 Blue (≠) Across 40 Display Cols

Featured mark: This bead is at Row 2. Column 1 stopped at Row 1, one row above → blue (≠).

SHOE-1A-06 Small Road & Cockroach Pig Split
SR: 21R/42B (63) · CP: 31R/30B (61)

Verified by calculateAllRoads() on SHOE-1A-06.

SHOE-1A-06 Hand #69 Next-Hand Probe
If B → BEB red, SR red, CP blue | If P → BEB blue, SR blue, CP red

Computed via getNextRoadPredictions() at the end of the shoe.

SHOE-1A-06 PHENOMENON ANALYSIS

How Opening `BPPP` Sequence Demonstrating Rule 2 Case 2 (Blue) vs Case 3 (Red) Develops on the Scoreboard

Many poorly written baccarat guides claim that when continuing down a column (Rule 2), 'if the lookback column does not have a bead at that row, mark Blue.' Our opening four hands (`BPPP`) in this 68-hand shoe prove why that two-case shortcut is wrong and why Rule 2 has three distinct cases.

In `BPPP`, Column 1 has 1 Banker bead (`B` at Row 1). Column 2 has 3 Player beads (`PPP` at Rows 1, 2, and 3). Big Eye Boy starts at Column 2, Row 2 (the second `P`): looking 1 column back to Column 1, Column 1 stopped at Row 1—exactly one row above Row 2—so Mark #1 is Blue (≠). Then the third `P` lands at Column 2, Row 3: Column 1 stopped at Row 1, which is MORE than one row above Row 3—so Mark #2 is Red (=)!

Opening 8 Big Road Columns of SHOE-1A-06 (Opening `BPPP` Sequence Demonstrating Rule 2 Case 2 (Blue) vs Case 3 (Red))
Logical ColumnWinning SideColumn DepthAttached Ties6-Row Grid Placement
Col 1 (SHOE-1A-06)Banker (B)1 bead0 tiesEnds at Row 1
Col 2 (SHOE-1A-06)Player (P)3 beads0 tiesEnds at Row 3
Col 3 (SHOE-1A-06)Banker (B)2 beads0 tiesEnds at Row 2
Col 4 (SHOE-1A-06)Player (P)4 beads0 tiesEnds at Row 4
Col 5 (SHOE-1A-06)Banker (B)2 beads0 tiesEnds at Row 2
Col 6 (SHOE-1A-06)Player (P)1 bead0 tiesEnds at Row 1
Col 7 (SHOE-1A-06)Banker (B)4 beads0 tiesEnds at Row 4
Col 8 (SHOE-1A-06)Player (P)2 beads0 tiesEnds at Row 2
  • SHOE-1A-06 Verified Mark #1 (Hand 3 (`BPP` Row 2): Rule 2 Case 2 → Blue (≠)): This bead is at Row 2. Column 1 stopped at Row 1, one row above → blue (≠).
  • SHOE-1A-06 Verified Mark #2 (Hand 4 (`BPPP` Row 3): Rule 2 Case 3 → Red (=)): This bead is at Row 3. Column 1 stopped at Row 1, more than one row above → red (=).
  • SHOE-1A-06 Verified Mark #3 (Small Road Case 3 Confirmation): Column 3 has 2 beads. Column 1 has 1 bead. Different depth → blue (≠).
DERIVED-ROAD & NEXT-HAND PROBE AUDIT (SHOE-1A-06)

Derived-Road Takeaways & Hand #69 Prediction Table for SHOE-1A-06

Once a column pushes past the single transition row (Row `depth + 1`, which marks Blue), every subsequent bead down that column (Row `depth + 2`, `depth + 3`, and beyond) compares two empty spaces in the reference column and marks Red (=).

If a hypothetical Hand #69 were dealt at the end of SHOE-1A-06, getNextRoadPredictions() shows that a Banker win would produce Big Eye Boy RED, Small Road RED, and Cockroach Pig BLUE, whereas a Player win would produce Big Eye Boy BLUE, Small Road BLUE, and Cockroach Pig RED. Remember that each hand in an 8-deck shoe is independent of prior outcomes.

Table Reality Check

Myth vs. Truth

MythWhenever the reference column is shorter than the current row on the Big Road, the derived-road mark is Blue.
TruthA shorter reference column produces Blue (≠) ONLY on the first row past its bottom (`lastRow === row - 1`). Two or more rows past its bottom (`lastRow < row - 1`), every mark is Red (=).
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