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STAGE 2 · THREE-ROAD RED CONFLUENCE · S2-0731 (SEED 103910)

Three-Road Red Confluence S2-0731: 71-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0731 (seed 103910) documents a simultaneous Red (=) alignment across Big Eye Boy, Small Road, and Cockroach Pig over 71 hands (40 Banker, 29 Player, 2 Tie). Its 28 logical columns span 28 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 66 Big Eye Boy marks (40R/26B), 64 Small Road marks (36R/28B), and 63 Cockroach Pig marks (34R/29B).

Verified 8-Deck Hands
71 (S2-0731)
Outcome Split
40B / 29P / 2T
Longest Streaks
7B · 6P
Big Road Columns
28 Cols
Engine-Verified Scoreboard · 71 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 P P B B B P B P B B B B B B P P P B B B B B B B P P B B B P P P P P B B B B P P B B B B P B P B B P B B B P
Big Eye Boy = = ≠ = = ≠ ≠ ≠ ≠ = = = ≠ = = ≠ ≠ = = ≠ = = = = = ≠ = = ≠ = = ≠ = = = ≠ = ≠ = = = ≠ = = = ≠ = = = = ≠ = ≠ = ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ = ≠
Small Road ≠ ≠ = ≠ ≠ = = ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ = = = = = ≠ ≠ = ≠ = = = = = = ≠ = = = ≠ = ≠ = = = ≠ = ≠ = = ≠ = ≠ = = = ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠
Cockroach Pig ≠ ≠ ≠ ≠ = ≠ = = = ≠ = ≠ ≠ = ≠ ≠ ≠ = = = = = ≠ ≠ = ≠ ≠ = = = = = ≠ = ≠ = ≠ = = = = = ≠ = ≠ = = ≠ = = = = = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ = ≠

S2-0731 (seed 103910): 71 hands (40B / 29P / 2T), max streaks 7B & 6P across 28 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)
S2-0731 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.

S2-0731 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.

S2-0731 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

S2-0731 8-Deck Hand Count
71 Hands (40 Banker / 29 Player / 2 Tie)

Seed 103910 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H47,H51).

S2-0731 Big Road Span & Max Streaks
Max 7B / Max 6P Across 28 Logical Cols (28 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.

S2-0731 Big Eye Boy Rule Split
66 Marks (40R / 26B · 60.6% Red Across 36 Cols)

Rule 1: 26 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 40.

S2-0731 Small Road & Cockroach Pig Split
SR: 36R/28B (56.3% Red) · CP: 34R/29B (54.0% Red)

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

S2-0731 Hand #72 Next-Hand Probe
If B -> BEB BLUE, SR RED, CP BLUE | If P -> BEB RED, SR BLUE, CP RED

Verified via getNextRoadPredictions() at Hand #71 of S2-0731.

S2-0731 SCOREBOARD STRUCTURE

S2-0731 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

Big Road audit S2-0731 (seed 103910) tracks 71 hands (40 Banker, 29 Player, 2 Tie) through 28 column transitions (28 display columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) featuring 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.

Tracking S2-0731 hand by hand confirms max streaks of 7B and 6P (tie indices H47,H51) and Lookback-1 totals of 26 Rule 1, 0 Case 1, 0 Case 2, and 40 Case 3.

Opening 9 Big Road Columns of S2-0731 (Seed 103910)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0731-C1:H1-2S2-0731:2BS2-0731:2B/0P/+0TS2-0731:R2StopS2-0731:2vs2
S2-0731-C2:H3-4S2-0731:2PS2-0731:2B/2P/+0TS2-0731:R2StopS2-0731:2vs2
S2-0731-C3:H5-5S2-0731:1BS2-0731:3B/2P/+0TS2-0731:R1StopS2-0731:1vs2
S2-0731-C4:H6-6S2-0731:1PS2-0731:3B/3P/+0TS2-0731:R1StopS2-0731:1vs1
S2-0731-C5:H7-7S2-0731:1BS2-0731:4B/3P/+0TS2-0731:R1StopS2-0731:1vs1
S2-0731-C6:H8-9S2-0731:2PS2-0731:4B/5P/+0TS2-0731:R2StopS2-0731:2vs1
S2-0731-C7:H10-10S2-0731:1BS2-0731:5B/5P/+0TS2-0731:R1StopS2-0731:1vs2
S2-0731-C8:H11-15S2-0731:5PS2-0731:5B/10P/+0TS2-0731:R5StopS2-0731:5vs1
S2-0731-C9:H16-18S2-0731:3BS2-0731:8B/10P/+0TS2-0731:R3StopS2-0731:3vs5
  • S2-0731 BEB #8 (BLUE): Column 7 has 1 bead. Column 6 has 2 beads. Different depth → blue (≠).
  • S2-0731 SR #4 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
  • S2-0731 CP #2 (BLUE): Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
S2-0731 DERIVED-ROAD & NEXT-HAND PROBE

S2-0731 Lookback Audit (40R/26B BEB · 36R/28B SR · 34R/29B CP)

When S2-0731 reaches the cut card, BEB shows 40R/26B (60.6% Red), SR shows 36R/28B (56.3% Red), and CP shows 34R/29B (54.0% Red). When all three reference columns match the active column, all three derived roads record Red (=) on the same hand.

Probing Hand #72 at the end of S2-0731 via getNextRoadPredictions() yields Banker -> BEB BLUE, SR RED, CP BLUE and Player -> BEB RED, SR BLUE, CP RED; each deal remains statistically independent.

Table Reality Check

Myth vs. Truth

MythThree-road Red confluence in S2-0731 means the next hand is certain to repeat.
TruthSimultaneous Red (=) marks in S2-0731 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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Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.

  • 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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