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FINAL TOTAL RESOLUTION [RES347] · 6-CARD PROOF

Player 4 + 7 (7) vs. Banker 5 (Draws 4 (4)): 6-Card Resolution #347

In walkthrough RES347, Player opens with 2+2 (4) and draws fifth-card 7 (7) for a modulo-10 total of 1, while Banker opens with A+4 (5) and draws sixth-card 4 (4) for 9 (6-card B outcome).

RES347 Player Path
P:4->1
RES347 Banker Path
B:5->9
RES347 Deal Length
6 Cards
RES347 Showdown
B (1v9)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES347 (P4+7->1 vs B5->9).

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
Big Eye Boy Mark #3

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

Small Road Mark #3

This bead is at Row 3. Column 2 stopped at Row 2, one row above → blue (≠).

  1. Column 4 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 4 has 3 beads. 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 3 beads. 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

RES347 Four-Card Opening Deal
Player 2+2=4 vs Banker A+4=5

Verified non-natural start via handTotal([2,2])=4 and handTotal([A,4])=5.

RES347 Fifth-Card Modulo Proof
(4 + 7) mod 10 = 1 via 7

Player draws fifth-card 7 (value 7), transforming two-card 4 into three-card 1.

RES347 Banker Tableau Lookup
BANKER_TABLEAU[5][7] = true

Banker 5 draws sixth-card 4 (4) so (5+4) mod 10 = 9.

RES347 Card Count & Winner
6 Cards -> B (1 vs 9)

Computed directly from resolveHand() with zero discretionary dealer options.

RES347 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

Big Eye Boy, Small Road, and Cockroach Pig compare Big Road column depths, not B vs P.

MODULO-10 ARITHMETIC · RES347

Step-by-Step Card Arithmetic for RES347: P(2+2)+7 vs B(A+4)

Shoe deal [RES347] places 2+2 (4) on Player and A+4 (5) on Banker; because 4 is below 6, Player draws 7 (7) and 11 truncates the decimal tens place to 1.

[RES347-B] Next in [RES347], Banker consults 5-point four-value window (4..7): facing fifth-card 7 (7), Banker 5 draws 4 (4) so 5+4=9 -> 9.

Complete 6-Card Resolution Trace for RES347
RES347 StageRES347 CardsRES347 Modulo MathRES347 Status
[RES347:Init]P(2+2)=4 vs B(A+4)=5playerShouldDraw(4)=true4-Card Deal
[RES347:5th]Player +7 (7)(4+7) mod 10 = 15th Card Sideways
[RES347:6th]Banker +4 (4)(5+4) mod 10 = 96-Card Final
[RES347:Settle]P=1 vs B=9Winner: BBig Road +B
  • [RES347-1] Confirm [RES347] opening P=4 (2+2) and B=5 (A+4) lack Natural 8/9.
  • [RES347-2] Add [RES347] fifth-card 7 (7) to P=4 for (4+7) mod 10 = 1.
  • [RES347-3] Run [RES347] BANKER_TABLEAU[5][7]=true to settle 1 vs 9 (B).
SETTLEMENT & SCOREBOARD · RES347

Showdown Settlement & Scoreboard Logging for RES347 (1 vs 9)

[RES347-C4] Comparing [RES347] final totals (6c), Player 1 vs Banker 9 awards [RES347] to Banker (B), which pays 0.95:1 on 5%-commission [RES347] layouts (or 0.5:1 on 6 at No-Commission [RES347] tables) and appends B to BBPPBPPPBB.

[RES347-D11] Side-bet & road check for [RES347] (P4+7->1 vs B5->9, 6c): [RES347] leaves [RES347] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=9) and leaves [RES347] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES347] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES347, Banker 5 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 7 (value 7) via BANKER_TABLEAU[5][7] = true.
MythBecause RES347 resolves as B, the next derived-road mark must match B's colour.
TruthDerived roads record Red (=) when Big Road structure repeats and Blue (≠) when it breaks—never Banker or Player.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

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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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