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FINAL TOTAL RESOLUTION [RES332] · 6-CARD PROOF

Player 1 + 5 (5) vs. Banker 5 (Draws 4 (4)): 6-Card Resolution #332

In walkthrough RES332, Player opens with 7+4 (1) and draws fifth-card 5 (5) for a modulo-10 total of 6, while Banker opens with 2+3 (5) and draws sixth-card 4 (4) for 9 (6-card B outcome).

RES332 Player Path
P:1->6
RES332 Banker Path
B:5->9
RES332 Deal Length
6 Cards
RES332 Showdown
B (6v9)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES332 (P1+5->6 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

RES332 Four-Card Opening Deal
Player 7+4=1 vs Banker 2+3=5

Verified non-natural start via handTotal([7,4])=1 and handTotal([2,3])=5.

RES332 Fifth-Card Modulo Proof
(1 + 5) mod 10 = 6 via 5

Player draws fifth-card 5 (value 5), transforming two-card 1 into three-card 6.

RES332 Banker Tableau Lookup
BANKER_TABLEAU[5][5] = true

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

RES332 Card Count & Winner
6 Cards -> B (6 vs 9)

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

RES332 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 · RES332

Step-by-Step Card Arithmetic for RES332: P(7+4)+5 vs B(2+3)

In coup [RES332], initial cards deal 7+4=1 to Player and 2+3=5 to Banker; lacking a four-card natural, Player takes fifth-card 5 (5) where raw sum 6 projects onto the 0..9 ring to 6.

[RES332-B] Triggered by 5 (5) in [RES332] (5-point four-value window (4..7)), Banker 5 receives 4 (4) and computes (5+4) mod 10 = 9.

Complete 6-Card Resolution Trace for RES332
RES332 StageRES332 CardsRES332 Modulo MathRES332 Status
[RES332:Init]P(7+4)=1 vs B(2+3)=5playerShouldDraw(1)=true4-Card Deal
[RES332:5th]Player +5 (5)(1+5) mod 10 = 65th Card Sideways
[RES332:6th]Banker +4 (4)(5+4) mod 10 = 96-Card Final
[RES332:Settle]P=6 vs B=9Winner: BBig Road +B
  • [RES332-1] Confirm [RES332] opening P=1 (7+4) and B=5 (2+3) lack Natural 8/9.
  • [RES332-2] Add [RES332] fifth-card 5 (5) to P=1 for (1+5) mod 10 = 6.
  • [RES332-3] Run [RES332] BANKER_TABLEAU[5][5]=true to settle 6 vs 9 (B).
SETTLEMENT & SCOREBOARD · RES332

Showdown Settlement & Scoreboard Logging for RES332 (6 vs 9)

[RES332-C6] Comparing [RES332] final totals (6c), Player 6 vs Banker 9 awards [RES332] to Banker (B), which pays 0.95:1 on 5%-commission [RES332] layouts (or 0.5:1 on 6 at No-Commission [RES332] tables) and appends B to PPBBPBBBPP.

[RES332-D6] Side-bet & road check for [RES332] (P1+5->6 vs B5->9, 6c): [RES332] leaves [RES332] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=9) and leaves [RES332] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES332] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES332, Banker 5 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 5 (value 5) via BANKER_TABLEAU[5][5] = true.
MythBecause RES332 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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