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FINAL TOTAL RESOLUTION [RES391] · 5-CARD PROOF

Player 0 + 5 (5) vs. Banker 6 (Stands at 6): 5-Card Resolution #391

In walkthrough RES391, Player opens with 10+K (0) and draws fifth-card 5 (5) for a modulo-10 total of 5, while Banker opens with 3+3 (6) and stands pat at 6 (5-card B outcome).

RES391 Player Path
P:0->5
RES391 Banker Path
B:6->6
RES391 Deal Length
5 Cards
RES391 Showdown
B (5v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES391 (P0+5->5 vs B6->6).

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

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 3.
  2. Column 3 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 3 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

RES391 Four-Card Opening Deal
Player 10+K=0 vs Banker 3+3=6

Verified non-natural start via handTotal([10,K])=0 and handTotal([3,3])=6.

RES391 Fifth-Card Modulo Proof
(0 + 5) mod 10 = 5 via 5

Player draws fifth-card 5 (value 5), transforming two-card 0 into three-card 5.

RES391 Banker Tableau Lookup
BANKER_TABLEAU[6][5] = false

Banker 6 stands pat at 6 without pulling sixth-card A (1).

RES391 Card Count & Winner
5 Cards -> B (5 vs 6)

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

RES391 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 · RES391

Step-by-Step Card Arithmetic for RES391: P(10+K)+5 vs B(3+3)

Hand record [RES391] tracks Player 0 (10+K) facing Banker 6 (3+3); with zero naturals on the felt, the fifth card 5 (worth 5) arrives and 5 calculates the mod-10 residue to 5.

[RES391-B] Under 6-point two-value trigger (6..7) for [RES391], 5 (5) closes action at 5c with Banker at 6 (had A=1 landed, 6+1=7 -> 7).

Complete 5-Card Resolution Trace for RES391
RES391 StageRES391 CardsRES391 Modulo MathRES391 Status
[RES391:Init]P(10+K)=0 vs B(3+3)=6playerShouldDraw(0)=true4-Card Deal
[RES391:5th]Player +5 (5)(0+5) mod 10 = 55th Card Sideways
[RES391:6th]Banker Stands (skip A=1)Locked at 65-Card Final
[RES391:Settle]P=5 vs B=6Winner: BBig Road +B
  • [RES391-1] Confirm [RES391] opening P=0 (10+K) and B=6 (3+3) lack Natural 8/9.
  • [RES391-2] Add [RES391] fifth-card 5 (5) to P=0 for (0+5) mod 10 = 5.
  • [RES391-3] Run [RES391] BANKER_TABLEAU[6][5]=false to settle 5 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES391

Showdown Settlement & Scoreboard Logging for RES391 (5 vs 6)

[RES391-C4] Comparing [RES391] final totals (5c), Player 5 vs Banker 6 awards [RES391] to Banker (B), which pays 0.95:1 on 5%-commission [RES391] layouts (or 0.5:1 on 6 at No-Commission [RES391] tables) and appends B to BBPPBPBPPP.

[RES391-D4] Side-bet & road check for [RES391] (P0+5->5 vs B6->6, 5c): [RES391] leaves [RES391] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and leaves [RES391] Panda 8 inactive (needs winning 3c Player 8, got P=5); on [RES391] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES391, Banker 6 evaluates Player's three-card total (5) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card 5 (value 5) via BANKER_TABLEAU[6][5] = false.
MythBecause RES391 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

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