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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0881 (SEED 381208)

Rule 2 Case 3 Overhang S2-0881: 65-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0881 (seed 381208) documents a deep columns extending two or more rows past short lookback columns over 65 hands (35 Banker, 26 Player, 4 Tie). Its 33 logical columns span 33 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) and produce 58 Big Eye Boy marks (24R/34B), 56 Small Road marks (23R/33B), and 55 Cockroach Pig marks (24R/31B).

Verified 8-Deck Hands
65 (S2-0881)
Outcome Split
35B / 26P / 4T
Longest Streaks
4B · 3P
Big Road Columns
33 Cols
Engine-Verified Scoreboard · 65 Hands

Read the Board at Table Speed

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

S2-0881 (seed 381208): 65 hands (35B / 26P / 4T), max streaks 4B & 3P across 33 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)
S2-0881 BEB Mark #8

This bead is at Row 2. Column 6 has a bead at Row 2 too → red (=).

  1. Column 7 goes down to Row 2, so use Rule 2: look 1 column back, at Column 6.
  2. Column 6 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 6 stopped exactly one row above this bead.

S2-0881 SR Mark #4

This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 4.
  2. Column 4 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 4 stopped exactly one row above this bead.

S2-0881 CP Mark #2

Column 5 has 1 bead. Column 2 has 2 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 2 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

S2-0881 8-Deck Hand Count
65 Hands (35 Banker / 26 Player / 4 Tie)

Seed 381208 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B (ties at H13,H35,H40,H53).

S2-0881 Big Road Span & Max Streaks
Max 4B / Max 3P Across 33 Logical Cols (33 Display Cols)

Whenever a column's current row index is at least two rows below the reference column's bottom, Rule 2 Case 3 applies.

S2-0881 Big Eye Boy Rule Split
58 Marks (24R / 34B · 41.4% Red Across 34 Cols)

Rule 1: 31 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 27.

S2-0881 Small Road & Cockroach Pig Split
SR: 23R/33B (41.1% Red) · CP: 24R/31B (43.6% Red)

After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=).

S2-0881 Hand #66 Next-Hand Probe
If B -> BEB RED, SR BLUE, CP RED | If P -> BEB BLUE, SR RED, CP BLUE

Verified via getNextRoadPredictions() at Hand #65 of S2-0881.

S2-0881 SCOREBOARD STRUCTURE

S2-0881 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B)

Across 65 8-deck deals in S2-0881 (seed 381208), the scoreboard logs 35B, 26P, and 4T in 33 logical columns (33 display columns, C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B), showcasing a deep columns extending two or more rows past short lookback columns. Whenever a column's current row index is at least two rows below the reference column's bottom, Rule 2 Case 3 applies.

Streak ceilings in S2-0881 stand at 4B and 3P (tie positions H13,H35,H40,H53), generating 31 Rule 1, 0 Case 1, 0 Case 2, and 27 Case 3 Big Eye Boy evaluations.

Opening 9 Big Road Columns of S2-0881 (Seed 381208)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0881-C1:H1-2S2-0881:2BS2-0881:2B/0P/+0TS2-0881:R2StopS2-0881:2vs2
S2-0881-C2:H3-4S2-0881:2PS2-0881:2B/2P/+0TS2-0881:R2StopS2-0881:2vs2
S2-0881-C3:H5-5S2-0881:1BS2-0881:3B/2P/+0TS2-0881:R1StopS2-0881:1vs2
S2-0881-C4:H6-6S2-0881:1PS2-0881:3B/3P/+0TS2-0881:R1StopS2-0881:1vs1
S2-0881-C5:H7-7S2-0881:1BS2-0881:4B/3P/+0TS2-0881:R1StopS2-0881:1vs1
S2-0881-C6:H8-9S2-0881:2PS2-0881:4B/5P/+0TS2-0881:R2StopS2-0881:2vs1
S2-0881-C7:H10-11S2-0881:2BS2-0881:6B/5P/+0TS2-0881:R2StopS2-0881:2vs2
S2-0881-C8:H12-13S2-0881:1PS2-0881:6B/6P/+1TS2-0881:R1StopS2-0881:1vs2
S2-0881-C9:H14-17S2-0881:4BS2-0881:10B/6P/+0TS2-0881:R4StopS2-0881:4vs1
  • S2-0881 BEB #8 (RED): This bead is at Row 2. Column 6 has a bead at Row 2 too → red (=).
  • S2-0881 SR #4 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
  • S2-0881 CP #2 (BLUE): Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
S2-0881 DERIVED-ROAD & NEXT-HAND PROBE

S2-0881 Lookback Audit (24R/34B BEB · 23R/33B SR · 24R/31B CP)

After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=). Consequently, S2-0881 closes with BEB 24R/34B (41.4% Red), SR 23R/33B (41.1% Red), and CP 24R/31B (43.6% Red).

Checking Hand #66 on S2-0881 shows that Banker and Player split derived marks into (RED/BLUE/RED) versus (BLUE/RED/BLUE).

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0881 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0881 is Blue (≠); two or more rows past the bottom is always Red (=) under Rule 2 Case 3.
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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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