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STAGE 2 · DOUBLE CHOP PAIRS · S2-0251 (SEED 95838)

Double Chop Pairs S2-0251: 76-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0251 (seed 95838) documents a repeating 2-bead BB-PP-BB-PP twin columns across the middle of the shoe over 76 hands (34 Banker, 37 Player, 5 Tie). Its 43 logical columns span 43 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 68 Big Eye Boy marks (31R/37B), 66 Small Road marks (24R/42B), and 65 Cockroach Pig marks (31R/34B).

Verified 8-Deck Hands
76 (S2-0251)
Outcome Split
34B / 37P / 5T
Longest Streaks
3B · 3P
Big Road Columns
43 Cols
Engine-Verified Scoreboard · 76 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 P B P B B P B P P B P P B B B P P B P B B P B P B P P B P P P P B P B B P B B P P B P P P B B B P B P B B B
Big Eye Boy = = ≠ = = ≠ ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = = = ≠ = ≠ ≠ = = ≠ = = ≠ ≠ ≠ = = ≠ = ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ = = = ≠ ≠ = ≠ = = = ≠ = = ≠ =
Small Road ≠ ≠ = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ = = = ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ ≠ = = = ≠ = ≠ ≠ ≠ = ≠ =
Cockroach Pig ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ = = ≠ = = = = = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ = ≠ = = = ≠ = ≠ = ≠ = ≠ ≠ = = = = = = ≠ ≠ ≠ = = =

S2-0251 (seed 95838): 76 hands (34B / 37P / 5T), max streaks 3B & 3P across 43 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)
S2-0251 BEB Mark #8

Column 7 has 1 bead. Column 6 has 2 beads. Different depth → blue (≠).

  1. Column 8 starts, so use Rule 1: compare Column 7 with Column 6, 1 column further back.
  2. Column 7 has 1 bead. Column 6 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 7, the one that just finished, with Column 6.

S2-0251 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.

S2-0251 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

S2-0251 8-Deck Hand Count
76 Hands (34 Banker / 37 Player / 5 Tie)

Seed 95838 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H31,H37,H47,H58).

S2-0251 Big Road Span & Max Streaks
Max 3B / Max 3P Across 43 Logical Cols (43 Display Cols)

Each 2-bead column runs a Rule 1 depth check at Row 1 followed by a Rule 2 Case 1 covered-row check at Row 2.

S2-0251 Big Eye Boy Rule Split
68 Marks (31R / 37B · 45.6% Red Across 37 Cols)

Rule 1: 41 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 27.

S2-0251 Small Road & Cockroach Pig Split
SR: 24R/42B (36.4% Red) · CP: 31R/34B (47.7% Red)

When a column finally steps to Row 3 after a series of 2-bead pairs, Rule 2 Case 2 records a Blue (≠) break exactly one row past the prior bottom.

S2-0251 Hand #77 Next-Hand Probe
If B -> BEB RED, SR RED, CP RED | If P -> BEB BLUE, SR BLUE, CP BLUE

Verified via getNextRoadPredictions() at Hand #76 of S2-0251.

S2-0251 SCOREBOARD STRUCTURE

S2-0251 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

Across 76 8-deck deals in S2-0251 (seed 95838), the scoreboard logs 34B, 37P, and 5T in 43 logical columns (43 display columns, C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B), showcasing a repeating 2-bead BB-PP-BB-PP twin columns across the middle of the shoe. Each 2-bead column runs a Rule 1 depth check at Row 1 followed by a Rule 2 Case 1 covered-row check at Row 2.

Streak ceilings in S2-0251 stand at 3B and 3P (tie positions H31,H37,H47,H58), generating 41 Rule 1, 0 Case 1, 0 Case 2, and 27 Case 3 Big Eye Boy evaluations.

Opening 9 Big Road Columns of S2-0251 (Seed 95838)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0251-C1:H1-2S2-0251:2BS2-0251:2B/0P/+0TS2-0251:R2StopS2-0251:2vs2
S2-0251-C2:H3-4S2-0251:2PS2-0251:2B/2P/+0TS2-0251:R2StopS2-0251:2vs2
S2-0251-C3:H5-5S2-0251:1BS2-0251:3B/2P/+0TS2-0251:R1StopS2-0251:1vs2
S2-0251-C4:H6-6S2-0251:1PS2-0251:3B/3P/+0TS2-0251:R1StopS2-0251:1vs1
S2-0251-C5:H7-7S2-0251:1BS2-0251:4B/3P/+0TS2-0251:R1StopS2-0251:1vs1
S2-0251-C6:H8-9S2-0251:2PS2-0251:4B/5P/+0TS2-0251:R2StopS2-0251:2vs1
S2-0251-C7:H10-10S2-0251:1BS2-0251:5B/5P/+0TS2-0251:R1StopS2-0251:1vs2
S2-0251-C8:H11-13S2-0251:3PS2-0251:5B/8P/+0TS2-0251:R3StopS2-0251:3vs1
S2-0251-C9:H14-14S2-0251:1BS2-0251:6B/8P/+0TS2-0251:R1StopS2-0251:1vs3
  • S2-0251 BEB #8 (BLUE): Column 7 has 1 bead. Column 6 has 2 beads. Different depth → blue (≠).
  • S2-0251 SR #4 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
  • S2-0251 CP #2 (BLUE): Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
S2-0251 DERIVED-ROAD & NEXT-HAND PROBE

S2-0251 Lookback Audit (31R/37B BEB · 24R/42B SR · 31R/34B CP)

When a column finally steps to Row 3 after a series of 2-bead pairs, Rule 2 Case 2 records a Blue (≠) break exactly one row past the prior bottom. Consequently, S2-0251 closes with BEB 31R/37B (45.6% Red), SR 24R/42B (36.4% Red), and CP 31R/34B (47.7% Red).

Checking Hand #77 on S2-0251 shows that Banker and Player split derived marks into (RED/RED/RED) versus (BLUE/BLUE/BLUE).

Table Reality Check

Myth vs. Truth

MythThe second bead of each pair in S2-0251 marks Blue because the column is about to switch sides.
TruthAt Row 2 in S2-0251, the reference column also has a second bead, so Rule 2 Case 1 records Red (=).
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