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FINAL TOTAL RESOLUTION [RES356] · 5-CARD PROOF

Player 1 + 9 (9) vs. Banker 5 (Stands at 5): 5-Card Resolution #356

In walkthrough RES356, Player opens with 7+4 (1) and draws fifth-card 9 (9) for a modulo-10 total of 0, while Banker opens with 2+3 (5) and stands pat at 5 (5-card B outcome).

RES356 Player Path
P:1->0
RES356 Banker Path
B:5->5
RES356 Deal Length
5 Cards
RES356 Showdown
B (0v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES356 (P1+9->0 vs B5->5).

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

Column 4 has 1 bead. Column 2 has 3 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 3 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 3 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 2 beads. Column 2 has 3 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

RES356 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.

RES356 Fifth-Card Modulo Proof
(1 + 9) mod 10 = 0 via 9

Player draws fifth-card 9 (value 9), transforming two-card 1 into three-card 0.

RES356 Banker Tableau Lookup
BANKER_TABLEAU[5][9] = false

Banker 5 stands pat at 5 without pulling sixth-card 10 (0).

RES356 Card Count & Winner
5 Cards -> B (0 vs 5)

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

RES356 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 · RES356

Step-by-Step Card Arithmetic for RES356: P(7+4)+9 vs B(2+3)

Canonical test [RES356] examines Player 1 (7+4) against Banker 5 (2+3); the fifth card 9 (9) brings Player's raw count to 10, which computes the single-digit remainder to 0.

[RES356-B] Five-card branch [RES356] ends as 9 (9) falls outside 5-point four-value window (4..7), keeping Banker 5 at 5 rather than 5 via 10.

Complete 5-Card Resolution Trace for RES356
RES356 StageRES356 CardsRES356 Modulo MathRES356 Status
[RES356:Init]P(7+4)=1 vs B(2+3)=5playerShouldDraw(1)=true4-Card Deal
[RES356:5th]Player +9 (9)(1+9) mod 10 = 05th Card Sideways
[RES356:6th]Banker Stands (skip 10=0)Locked at 55-Card Final
[RES356:Settle]P=0 vs B=5Winner: BBig Road +B
  • [RES356-1] Confirm [RES356] opening P=1 (7+4) and B=5 (2+3) lack Natural 8/9.
  • [RES356-2] Add [RES356] fifth-card 9 (9) to P=1 for (1+9) mod 10 = 0.
  • [RES356-3] Run [RES356] BANKER_TABLEAU[5][9]=false to settle 0 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES356

Showdown Settlement & Scoreboard Logging for RES356 (0 vs 5)

[RES356-C5] Comparing [RES356] final totals (5c), Player 0 vs Banker 5 awards [RES356] to Banker (B), which pays 0.95:1 on 5%-commission [RES356] layouts (or 0.5:1 on 6 at No-Commission [RES356] tables) and appends B to PPBBBPPBPP.

[RES356-D1] Side-bet & road check for [RES356] (P1+9->0 vs B5->5, 5c): [RES356] leaves [RES356] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=5) and leaves [RES356] Panda 8 inactive (needs winning 3c Player 8, got P=0); on [RES356] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES356, Banker 5 evaluates Player's three-card total (0) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 9 (value 9) via BANKER_TABLEAU[5][9] = false.
MythBecause RES356 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
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android