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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0853 (SEED 124280)

Rule 2 Case 3 Overhang S2-0853: 69-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0853 (seed 124280) documents a deep columns extending two or more rows past short lookback columns over 69 hands (35 Banker, 26 Player, 8 Tie). Its 33 logical columns span 33 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 58 Big Eye Boy marks (29R/29B), 56 Small Road marks (22R/34B), and 55 Cockroach Pig marks (20R/35B).

Verified 8-Deck Hands
69 (S2-0853)
Outcome Split
35B / 26P / 8T
Longest Streaks
5B · 3P
Big Road Columns
33 Cols
Engine-Verified Scoreboard · 69 Hands

Read the Board at Table Speed

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

S2-0853 (seed 124280): 69 hands (35B / 26P / 8T), max streaks 5B & 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)
S2-0853 BEB Mark #4

Column 4 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 3.

S2-0853 SR Mark #2

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

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

S2-0853 CP Mark #4

Column 6 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

S2-0853 8-Deck Hand Count
69 Hands (35 Banker / 26 Player / 8 Tie)

Seed 124280 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H17,H20,H22,H24).

S2-0853 Big Road Span & Max Streaks
Max 5B / 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.

S2-0853 Big Eye Boy Rule Split
58 Marks (29R / 29B · 50.0% Red Across 34 Cols)

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

S2-0853 Small Road & Cockroach Pig Split
SR: 22R/34B (39.3% Red) · CP: 20R/35B (36.4% Red)

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

S2-0853 Hand #70 Next-Hand Probe
If B -> BEB BLUE, SR RED, CP RED | If P -> BEB RED, SR BLUE, CP BLUE

Verified via getNextRoadPredictions() at Hand #69 of S2-0853.

S2-0853 SCOREBOARD STRUCTURE

S2-0853 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

Across 69 8-deck deals in S2-0853 (seed 124280), the scoreboard logs 35B, 26P, and 8T in 33 logical columns (33 display columns, C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B), 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 S2-0853 stand at 5B and 3P (tie positions H17,H20,H22,H24), generating 31 Rule 1, 0 Case 1, 0 Case 2, and 27 Case 3 Big Eye Boy evaluations.

Opening 9 Big Road Columns of S2-0853 (Seed 124280)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0853-C1:H1-2S2-0853:2BS2-0853:2B/0P/+0TS2-0853:R2StopS2-0853:2vs2
S2-0853-C2:H3-4S2-0853:2PS2-0853:2B/2P/+0TS2-0853:R2StopS2-0853:2vs2
S2-0853-C3:H5-5S2-0853:1BS2-0853:3B/2P/+0TS2-0853:R1StopS2-0853:1vs2
S2-0853-C4:H6-6S2-0853:1PS2-0853:3B/3P/+0TS2-0853:R1StopS2-0853:1vs1
S2-0853-C5:H7-7S2-0853:1BS2-0853:4B/3P/+0TS2-0853:R1StopS2-0853:1vs1
S2-0853-C6:H8-9S2-0853:2PS2-0853:4B/5P/+0TS2-0853:R2StopS2-0853:2vs1
S2-0853-C7:H10-10S2-0853:1BS2-0853:5B/5P/+0TS2-0853:R1StopS2-0853:1vs2
S2-0853-C8:H11-11S2-0853:1PS2-0853:5B/6P/+0TS2-0853:R1StopS2-0853:1vs1
S2-0853-C9:H12-14S2-0853:3BS2-0853:8B/6P/+0TS2-0853:R3StopS2-0853:3vs1
  • S2-0853 BEB #4 (RED): Column 4 has 1 bead. Column 3 has 1 bead. Same depth → red (=).
  • S2-0853 SR #2 (BLUE): Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0853 CP #4 (BLUE): Column 6 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).
S2-0853 DERIVED-ROAD & NEXT-HAND PROBE

S2-0853 Lookback Audit (29R/29B BEB · 22R/34B SR · 20R/35B 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, S2-0853 closes with BEB 29R/29B (50.0% Red), SR 22R/34B (39.3% Red), and CP 20R/35B (36.4% Red).

Checking Hand #70 on S2-0853 shows that Banker and Player split derived marks into (BLUE/RED/RED) versus (RED/BLUE/BLUE).

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0853 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0853 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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