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FINAL TOTAL RESOLUTION [RES351] · 5-CARD PROOF

Player 2 + 8 (8) vs. Banker 5 (Stands at 5): 5-Card Resolution #351

In walkthrough RES351, Player opens with 10+2 (2) and draws fifth-card 8 (8) for a modulo-10 total of 0, while Banker opens with A+4 (5) and stands pat at 5 (5-card B outcome).

RES351 Player Path
P:2->0
RES351 Banker Path
B:5->5
RES351 Deal Length
5 Cards
RES351 Showdown
B (0v5)
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 RES351 (P2+8->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 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

RES351 Four-Card Opening Deal
Player 10+2=2 vs Banker A+4=5

Verified non-natural start via handTotal([10,2])=2 and handTotal([A,4])=5.

RES351 Fifth-Card Modulo Proof
(2 + 8) mod 10 = 0 via 8

Player draws fifth-card 8 (value 8), transforming two-card 2 into three-card 0.

RES351 Banker Tableau Lookup
BANKER_TABLEAU[5][8] = false

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

RES351 Card Count & Winner
5 Cards -> B (0 vs 5)

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

RES351 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 · RES351

Step-by-Step Card Arithmetic for RES351: P(10+2)+8 vs B(A+4)

[RES351] Walkthrough #351 begins with Player holding 10+2 (2) against Banker A+4 (5); since neither side holds 8 or 9, Player draws fifth-card 8 (8) so 2+8=10 applies base-10 modular addition to 0.

[RES351-B] Inspecting 8=8 via 5-point four-value window (4..7) in [RES351], Banker 5 stands at 5; 5 (5) stays in the shoe instead of 0.

Complete 5-Card Resolution Trace for RES351
RES351 StageRES351 CardsRES351 Modulo MathRES351 Status
[RES351:Init]P(10+2)=2 vs B(A+4)=5playerShouldDraw(2)=true4-Card Deal
[RES351:5th]Player +8 (8)(2+8) mod 10 = 05th Card Sideways
[RES351:6th]Banker Stands (skip 5=5)Locked at 55-Card Final
[RES351:Settle]P=0 vs B=5Winner: BBig Road +B
  • [RES351-1] Confirm [RES351] opening P=2 (10+2) and B=5 (A+4) lack Natural 8/9.
  • [RES351-2] Add [RES351] fifth-card 8 (8) to P=2 for (2+8) mod 10 = 0.
  • [RES351-3] Run [RES351] BANKER_TABLEAU[5][8]=false to settle 0 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES351

Showdown Settlement & Scoreboard Logging for RES351 (0 vs 5)

[RES351-C2] Comparing [RES351] final totals (5c), Player 0 vs Banker 5 awards [RES351] to Banker (B), which pays 0.95:1 on 5%-commission [RES351] layouts (or 0.5:1 on 6 at No-Commission [RES351] tables) and appends B to BBPPBPBBPB.

[RES351-D8] Side-bet & road check for [RES351] (P2+8->0 vs B5->5, 5c): [RES351] leaves [RES351] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=5) and leaves [RES351] Panda 8 inactive (needs winning 3c Player 8, got P=0); on [RES351] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES351, Banker 5 evaluates Player's three-card total (0) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 8 (value 8) via BANKER_TABLEAU[5][8] = false.
MythBecause RES351 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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