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FINAL TOTAL RESOLUTION [RES367] · 5-CARD PROOF

Player 0 + A (1) vs. Banker 6 (Stands at 6): 5-Card Resolution #367

In walkthrough RES367, Player opens with 10+K (0) and draws fifth-card A (1) for a modulo-10 total of 1, while Banker opens with 3+3 (6) and stands pat at 6 (5-card B outcome).

RES367 Player Path
P:0->1
RES367 Banker Path
B:6->6
RES367 Deal Length
5 Cards
RES367 Showdown
B (1v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P B P B B P B B B P P P B B B B P
Big Eye Boy = = ≠ = ≠ ≠ ≠ ≠ = ≠ = = = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ = = ≠ ≠
Cockroach Pig ≠ = = = ≠ = ≠ = ≠ ≠ ≠ = = ≠

Scoreboard sequence paired with 5-card resolution RES367 (P0+1->1 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 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 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.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

  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 2 beads. Same depth → red (=).

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

RES367 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.

RES367 Fifth-Card Modulo Proof
(0 + 1) mod 10 = 1 via A

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

RES367 Banker Tableau Lookup
BANKER_TABLEAU[6][1] = false

Banker 6 stands pat at 6 without pulling sixth-card 5 (5).

RES367 Card Count & Winner
5 Cards -> B (1 vs 6)

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

RES367 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 · RES367

Step-by-Step Card Arithmetic for RES367: P(10+K)+A vs B(3+3)

During tableau case [RES367], Player holds 10+K for 0 while Banker holds 3+3 for 6; drawing fifth-card A (1) shifts Player from 0 to 1, which reduces mod-10 to 1.

[RES367-B] Evaluating bankerShouldDraw(6, 1)=false (6-point two-value trigger (6..7)) in [RES367], Banker 6 preserves 6 while 5 (5) remains undealt.

Complete 5-Card Resolution Trace for RES367
RES367 StageRES367 CardsRES367 Modulo MathRES367 Status
[RES367:Init]P(10+K)=0 vs B(3+3)=6playerShouldDraw(0)=true4-Card Deal
[RES367:5th]Player +A (1)(0+1) mod 10 = 15th Card Sideways
[RES367:6th]Banker Stands (skip 5=5)Locked at 65-Card Final
[RES367:Settle]P=1 vs B=6Winner: BBig Road +B
  • [RES367-1] Confirm [RES367] opening P=0 (10+K) and B=6 (3+3) lack Natural 8/9.
  • [RES367-2] Add [RES367] fifth-card A (1) to P=0 for (0+1) mod 10 = 1.
  • [RES367-3] Run [RES367] BANKER_TABLEAU[6][1]=false to settle 1 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES367

Showdown Settlement & Scoreboard Logging for RES367 (1 vs 6)

[RES367-C5] Comparing [RES367] final totals (5c), Player 1 vs Banker 6 awards [RES367] to Banker (B), which pays 0.95:1 on 5%-commission [RES367] layouts (or 0.5:1 on 6 at No-Commission [RES367] tables) and appends B to BBPPBPBBPB.

[RES367-D9] Side-bet & road check for [RES367] (P0+1->1 vs B6->6, 5c): [RES367] leaves [RES367] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and leaves [RES367] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES367] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES367, Banker 6 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[6][1] = false.
MythBecause RES367 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
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