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FINAL TOTAL RESOLUTION [RES379] · 5-CARD PROOF

Player 0 + 3 (3) vs. Banker 6 (Stands at 6): 5-Card Resolution #379

In walkthrough RES379, Player opens with 10+K (0) and draws fifth-card 3 (3) for a modulo-10 total of 3, while Banker opens with 3+3 (6) and stands pat at 6 (5-card B outcome).

RES379 Player Path
P:0->3
RES379 Banker Path
B:6->6
RES379 Deal Length
5 Cards
RES379 Showdown
B (3v6)
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 5-card resolution RES379 (P0+3->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

RES379 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.

RES379 Fifth-Card Modulo Proof
(0 + 3) mod 10 = 3 via 3

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

RES379 Banker Tableau Lookup
BANKER_TABLEAU[6][3] = false

Banker 6 stands pat at 6 without pulling sixth-card 3 (3).

RES379 Card Count & Winner
5 Cards -> B (3 vs 6)

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

RES379 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 · RES379

Step-by-Step Card Arithmetic for RES379: P(10+K)+3 vs B(3+3)

[RES379] Walkthrough #379 begins with Player holding 10+K (0) against Banker 3+3 (6); since neither side holds 8 or 9, Player draws fifth-card 3 (3) so 0+3=3 applies base-10 modular addition to 3.

[RES379-B] Under 6-point two-value trigger (6..7) for [RES379], 3 (3) closes action at 5c with Banker at 6 (had 3=3 landed, 6+3=9 -> 9).

Complete 5-Card Resolution Trace for RES379
RES379 StageRES379 CardsRES379 Modulo MathRES379 Status
[RES379:Init]P(10+K)=0 vs B(3+3)=6playerShouldDraw(0)=true4-Card Deal
[RES379:5th]Player +3 (3)(0+3) mod 10 = 35th Card Sideways
[RES379:6th]Banker Stands (skip 3=3)Locked at 65-Card Final
[RES379:Settle]P=3 vs B=6Winner: BBig Road +B
  • [RES379-1] Confirm [RES379] opening P=0 (10+K) and B=6 (3+3) lack Natural 8/9.
  • [RES379-2] Add [RES379] fifth-card 3 (3) to P=0 for (0+3) mod 10 = 3.
  • [RES379-3] Run [RES379] BANKER_TABLEAU[6][3]=false to settle 3 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES379

Showdown Settlement & Scoreboard Logging for RES379 (3 vs 6)

[RES379-C10] Comparing [RES379] final totals (5c), Player 3 vs Banker 6 awards [RES379] to Banker (B), which pays 0.95:1 on 5%-commission [RES379] layouts (or 0.5:1 on 6 at No-Commission [RES379] tables) and appends B to BBPPBPPPBB.

[RES379-D0] Side-bet & road check for [RES379] (P0+3->3 vs B6->6, 5c): [RES379] leaves [RES379] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and leaves [RES379] Panda 8 inactive (needs winning 3c Player 8, got P=3); on [RES379] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES379, Banker 6 evaluates Player's three-card total (3) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[6][3] = false.
MythBecause RES379 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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