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STAGE 2 · THREE-ROAD RED CONFLUENCE · S2-0721 (SEED 12150)

Three-Road Red Confluence S2-0721: 65-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0721 (seed 12150) documents a simultaneous Red (=) alignment across Big Eye Boy, Small Road, and Cockroach Pig over 65 hands (31 Banker, 29 Player, 5 Tie). Its 39 logical columns span 39 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 57 Big Eye Boy marks (25R/32B), 55 Small Road marks (21R/34B), and 54 Cockroach Pig marks (26R/28B).

Verified 8-Deck Hands
65 (S2-0721)
Outcome Split
31B / 29P / 5T
Longest Streaks
4B · 4P
Big Road Columns
39 Cols
Engine-Verified Scoreboard · 65 Hands

Read the Board at Table Speed

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

S2-0721 (seed 12150): 65 hands (31B / 29P / 5T), max streaks 4B & 4P across 39 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)
S2-0721 BEB Mark #6

This bead is at Row 2. Column 5 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 1 column back, at Column 5.
  2. Column 5 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 5 stopped exactly one row above this bead.

S2-0721 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.

S2-0721 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

S2-0721 8-Deck Hand Count
65 Hands (31 Banker / 29 Player / 5 Tie)

Seed 12150 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H16,H23,H30,H42).

S2-0721 Big Road Span & Max Streaks
Max 4B / Max 4P Across 39 Logical Cols (39 Display Cols)

Uniform column depth blocks across four or more columns cause k = 1, k = 2, and k = 3 reference columns to hold identical depths.

S2-0721 Big Eye Boy Rule Split
57 Marks (25R / 32B · 43.9% Red Across 29 Cols)

Rule 1: 37 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 20.

S2-0721 Small Road & Cockroach Pig Split
SR: 21R/34B (38.2% Red) · CP: 26R/28B (48.1% Red)

When all three reference columns match the active column, all three derived roads record Red (=) on the same hand.

S2-0721 Hand #66 Next-Hand Probe
If B -> BEB BLUE, SR BLUE, CP BLUE | If P -> BEB RED, SR RED, CP RED

Verified via getNextRoadPredictions() at Hand #65 of S2-0721.

S2-0721 SCOREBOARD STRUCTURE

S2-0721 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

Scoreboard record S2-0721 (seed 12150) spans 65 hands (31B / 29P / 5T) and 39 logical columns (39 grid columns, C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B), centering on a simultaneous Red (=) alignment across Big Eye Boy, Small Road, and Cockroach Pig. Uniform column depth blocks across four or more columns cause k = 1, k = 2, and k = 3 reference columns to hold identical depths.

Lookback-1 classification for S2-0721 (max 4B, max 4P, ties H16,H23,H30,H42) counts 37 Rule 1new-column checks, 0 Case 1 row checks, 0 Case 2 tips, and 20 Case 3 overhangs.

Opening 9 Big Road Columns of S2-0721 (Seed 12150)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0721-C1:H1-2S2-0721:2BS2-0721:2B/0P/+0TS2-0721:R2StopS2-0721:2vs2
S2-0721-C2:H3-4S2-0721:2PS2-0721:2B/2P/+0TS2-0721:R2StopS2-0721:2vs2
S2-0721-C3:H5-5S2-0721:1BS2-0721:3B/2P/+0TS2-0721:R1StopS2-0721:1vs2
S2-0721-C4:H6-6S2-0721:1PS2-0721:3B/3P/+0TS2-0721:R1StopS2-0721:1vs1
S2-0721-C5:H7-7S2-0721:1BS2-0721:4B/3P/+0TS2-0721:R1StopS2-0721:1vs1
S2-0721-C6:H8-9S2-0721:2PS2-0721:4B/5P/+0TS2-0721:R2StopS2-0721:2vs1
S2-0721-C7:H10-10S2-0721:1BS2-0721:5B/5P/+0TS2-0721:R1StopS2-0721:1vs2
S2-0721-C8:H11-11S2-0721:1PS2-0721:5B/6P/+0TS2-0721:R1StopS2-0721:1vs1
S2-0721-C9:H12-13S2-0721:2BS2-0721:7B/6P/+0TS2-0721:R2StopS2-0721:2vs1
  • S2-0721 BEB #6 (BLUE): This bead is at Row 2. Column 5 stopped at Row 1, one row above → blue (≠).
  • S2-0721 SR #2 (BLUE): Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0721 CP #2 (BLUE): Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
S2-0721 DERIVED-ROAD & NEXT-HAND PROBE

S2-0721 Lookback Audit (25R/32B BEB · 21R/34B SR · 26R/28B CP)

Every derived road in S2-0721 is verified from the Big Road columns: 25R/32B (43.9% Red) on BEB, 21R/34B (38.2% Red) on SR, and 26R/28B (48.1% Red) on CP. When all three reference columns match the active column, all three derived roads record Red (=) on the same hand.

At Hand #66 of S2-0721, the next-hand road probe shows B -> (BLUE, BLUE, BLUE) and P -> (RED, RED, RED) across Big Eye Boy, Small Road, and Cockroach Pig without altering 8-deck probabilities.

Table Reality Check

Myth vs. Truth

MythThree-road Red confluence in S2-0721 means the next hand is certain to repeat.
TruthSimultaneous Red (=) marks in S2-0721 confirm that the last four columns shared symmetry; the next card draw remains independent.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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