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FINAL TOTAL RESOLUTION [RES364] · 5-CARD PROOF

Player 3 + 10 (0) vs. Banker 6 (Stands at 6): 5-Card Resolution #364

In walkthrough RES364, Player opens with 9+4 (3) and draws fifth-card 10 (0) for a modulo-10 total of 3, while Banker opens with 2+4 (6) and stands pat at 6 (5-card B outcome).

RES364 Player Path
P:3->3
RES364 Banker Path
B:6->6
RES364 Deal Length
5 Cards
RES364 Showdown
B (3v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
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 5-card resolution RES364 (P3+0->3 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

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

RES364 Four-Card Opening Deal
Player 9+4=3 vs Banker 2+4=6

Verified non-natural start via handTotal([9,4])=3 and handTotal([2,4])=6.

RES364 Fifth-Card Modulo Proof
(3 + 0) mod 10 = 3 via 10

Player draws fifth-card 10 (value 0), transforming two-card 3 into three-card 3.

RES364 Banker Tableau Lookup
BANKER_TABLEAU[6][0] = false

Banker 6 stands pat at 6 without pulling sixth-card 8 (8).

RES364 Card Count & Winner
5 Cards -> B (3 vs 6)

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

RES364 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 · RES364

Step-by-Step Card Arithmetic for RES364: P(9+4)+10 vs B(2+4)

Step-by-step proof [RES364] pairs Player 9+4 (3) with Banker 2+4 (6); because 3 sits in the 0..5 draw zone, fifth-card 10 (0) lands and 3+0=3 resolves the unit-digit sum to 3.

[RES364-B] Inspecting 10=0 via 6-point two-value trigger (6..7) in [RES364], Banker 6 stands at 6; 8 (8) stays in the shoe instead of 4.

Complete 5-Card Resolution Trace for RES364
RES364 StageRES364 CardsRES364 Modulo MathRES364 Status
[RES364:Init]P(9+4)=3 vs B(2+4)=6playerShouldDraw(3)=true4-Card Deal
[RES364:5th]Player +10 (0)(3+0) mod 10 = 35th Card Sideways
[RES364:6th]Banker Stands (skip 8=8)Locked at 65-Card Final
[RES364:Settle]P=3 vs B=6Winner: BBig Road +B
  • [RES364-1] Confirm [RES364] opening P=3 (9+4) and B=6 (2+4) lack Natural 8/9.
  • [RES364-2] Add [RES364] fifth-card 10 (0) to P=3 for (3+0) mod 10 = 3.
  • [RES364-3] Run [RES364] BANKER_TABLEAU[6][0]=false to settle 3 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES364

Showdown Settlement & Scoreboard Logging for RES364 (3 vs 6)

[RES364-C1] Comparing [RES364] final totals (5c), Player 3 vs Banker 6 awards [RES364] to Banker (B), which pays 0.95:1 on 5%-commission [RES364] layouts (or 0.5:1 on 6 at No-Commission [RES364] tables) and appends B to PPBBPBBBPP.

[RES364-D8] Side-bet & road check for [RES364] (P3+0->3 vs B6->6, 5c): [RES364] leaves [RES364] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and leaves [RES364] Panda 8 inactive (needs winning 3c Player 8, got P=3); on [RES364] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES364, Banker 6 evaluates Player's three-card total (3) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[6][0] = false.
MythBecause RES364 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