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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0885 (SEED 417912)

Rule 2 Case 3 Overhang S2-0885: 79-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0885 (seed 417912) documents a deep columns extending two or more rows past short lookback columns over 79 hands (31 Banker, 40 Player, 8 Tie). Its 36 logical columns span 36 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 68 Big Eye Boy marks (35R/33B), 66 Small Road marks (33R/33B), and 65 Cockroach Pig marks (24R/41B).

Verified 8-Deck Hands
79 (S2-0885)
Outcome Split
31B / 40P / 8T
Longest Streaks
4B · 5P
Big Road Columns
36 Cols
Engine-Verified Scoreboard · 79 Hands

Read the Board at Table Speed

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

S2-0885 (seed 417912): 79 hands (31B / 40P / 8T), max streaks 4B & 5P across 36 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)
S2-0885 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.

S2-0885 SR Mark #6

Column 7 has 1 bead. Column 5 has 1 bead. Same depth → red (=).

  1. Column 8 starts, so use Rule 1: compare Column 7 with Column 5, 2 columns further back.
  2. Column 7 has 1 bead. Column 5 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 7, the one that just finished, with Column 5.

S2-0885 CP Mark #1

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

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 1 bead. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

S2-0885 8-Deck Hand Count
79 Hands (31 Banker / 40 Player / 8 Tie)

Seed 417912 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H18,H27,H31,H41).

S2-0885 Big Road Span & Max Streaks
Max 4B / Max 5P Across 36 Logical Cols (36 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.

S2-0885 Big Eye Boy Rule Split
68 Marks (35R / 33B · 51.5% Red Across 33 Cols)

Rule 1: 34 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 34.

S2-0885 Small Road & Cockroach Pig Split
SR: 33R/33B (50.0% Red) · CP: 24R/41B (36.9% Red)

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

S2-0885 Hand #80 Next-Hand Probe
If B -> BEB RED, SR BLUE, CP BLUE | If P -> BEB BLUE, SR RED, CP RED

Verified via getNextRoadPredictions() at Hand #79 of S2-0885.

S2-0885 SCOREBOARD STRUCTURE

S2-0885 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

Big Road audit S2-0885 (seed 417912) tracks 79 hands (31 Banker, 40 Player, 8 Tie) through 36 column transitions (36 display columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) featuring 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.

Tracking S2-0885 hand by hand confirms max streaks of 4B and 5P (tie indices H18,H27,H31,H41) and Lookback-1 totals of 34 Rule 1, 0 Case 1, 0 Case 2, and 34 Case 3.

Opening 9 Big Road Columns of S2-0885 (Seed 417912)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0885-C1:H1-2S2-0885:2BS2-0885:2B/0P/+0TS2-0885:R2StopS2-0885:2vs2
S2-0885-C2:H3-4S2-0885:2PS2-0885:2B/2P/+0TS2-0885:R2StopS2-0885:2vs2
S2-0885-C3:H5-5S2-0885:1BS2-0885:3B/2P/+0TS2-0885:R1StopS2-0885:1vs2
S2-0885-C4:H6-6S2-0885:1PS2-0885:3B/3P/+0TS2-0885:R1StopS2-0885:1vs1
S2-0885-C5:H7-7S2-0885:1BS2-0885:4B/3P/+0TS2-0885:R1StopS2-0885:1vs1
S2-0885-C6:H8-9S2-0885:2PS2-0885:4B/5P/+0TS2-0885:R2StopS2-0885:2vs1
S2-0885-C7:H10-10S2-0885:1BS2-0885:5B/5P/+0TS2-0885:R1StopS2-0885:1vs2
S2-0885-C8:H11-12S2-0885:2PS2-0885:5B/7P/+0TS2-0885:R2StopS2-0885:2vs1
S2-0885-C9:H13-13S2-0885:1BS2-0885:6B/7P/+0TS2-0885:R1StopS2-0885:1vs2
  • S2-0885 BEB #4 (RED): Column 4 has 1 bead. Column 3 has 1 bead. Same depth → red (=).
  • S2-0885 SR #6 (RED): Column 7 has 1 bead. Column 5 has 1 bead. Same depth → red (=).
  • S2-0885 CP #1 (BLUE): Column 4 has 1 bead. Column 1 has 2 beads. Different depth → blue (≠).
S2-0885 DERIVED-ROAD & NEXT-HAND PROBE

S2-0885 Lookback Audit (35R/33B BEB · 33R/33B SR · 24R/41B CP)

When S2-0885 reaches the cut card, BEB shows 35R/33B (51.5% Red), SR shows 33R/33B (50.0% Red), and CP shows 24R/41B (36.9% Red). After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=).

Probing Hand #80 at the end of S2-0885 via getNextRoadPredictions() yields Banker -> BEB RED, SR BLUE, CP BLUE and Player -> BEB BLUE, SR RED, CP RED; each deal remains statistically independent.

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0885 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0885 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
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
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