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FINAL TOTAL RESOLUTION [RES363] · 5-CARD PROOF

Player 2 + 10 (0) vs. Banker 6 (Stands at 6): 5-Card Resolution #363

In walkthrough RES363, Player opens with 10+2 (2) and draws fifth-card 10 (0) for a modulo-10 total of 2, while Banker opens with 3+3 (6) and stands pat at 6 (5-card B outcome).

RES363 Player Path
P:2->2
RES363 Banker Path
B:6->6
RES363 Deal Length
5 Cards
RES363 Showdown
B (2v6)
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 RES363 (P2+0->2 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

RES363 Four-Card Opening Deal
Player 10+2=2 vs Banker 3+3=6

Verified non-natural start via handTotal([10,2])=2 and handTotal([3,3])=6.

RES363 Fifth-Card Modulo Proof
(2 + 0) mod 10 = 2 via 10

Player draws fifth-card 10 (value 0), transforming two-card 2 into three-card 2.

RES363 Banker Tableau Lookup
BANKER_TABLEAU[6][0] = false

Banker 6 stands pat at 6 without pulling sixth-card 4 (4).

RES363 Card Count & Winner
5 Cards -> B (2 vs 6)

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

RES363 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 · RES363

Step-by-Step Card Arithmetic for RES363: P(10+2)+10 vs B(3+3)

Hand record [RES363] tracks Player 2 (10+2) facing Banker 6 (3+3); with zero naturals on the felt, the fifth card 10 (worth 0) arrives and 2 calculates the mod-10 residue to 2.

[RES363-B] Inspecting 10=0 via 6-point two-value trigger (6..7) in [RES363], Banker 6 stands at 6; 4 (4) stays in the shoe instead of 0.

Complete 5-Card Resolution Trace for RES363
RES363 StageRES363 CardsRES363 Modulo MathRES363 Status
[RES363:Init]P(10+2)=2 vs B(3+3)=6playerShouldDraw(2)=true4-Card Deal
[RES363:5th]Player +10 (0)(2+0) mod 10 = 25th Card Sideways
[RES363:6th]Banker Stands (skip 4=4)Locked at 65-Card Final
[RES363:Settle]P=2 vs B=6Winner: BBig Road +B
  • [RES363-1] Confirm [RES363] opening P=2 (10+2) and B=6 (3+3) lack Natural 8/9.
  • [RES363-2] Add [RES363] fifth-card 10 (0) to P=2 for (2+0) mod 10 = 2.
  • [RES363-3] Run [RES363] BANKER_TABLEAU[6][0]=false to settle 2 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES363

Showdown Settlement & Scoreboard Logging for RES363 (2 vs 6)

[RES363-C7] Comparing [RES363] final totals (5c), Player 2 vs Banker 6 awards [RES363] to Banker (B), which pays 0.95:1 on 5%-commission [RES363] layouts (or 0.5:1 on 6 at No-Commission [RES363] tables) and appends B to BBPPBPPPBB.

[RES363-D12] Side-bet & road check for [RES363] (P2+0->2 vs B6->6, 5c): [RES363] leaves [RES363] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and leaves [RES363] Panda 8 inactive (needs winning 3c Player 8, got P=2); on [RES363] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES363, Banker 6 evaluates Player's three-card total (2) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[6][0] = false.
MythBecause RES363 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
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
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