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FINAL TOTAL RESOLUTION [RES317] · 5-CARD PROOF

Player 4 + 2 (2) vs. Banker 5 (Stands at 5): 5-Card Resolution #317

In walkthrough RES317, Player opens with 2+2 (4) and draws fifth-card 2 (2) for a modulo-10 total of 6, while Banker opens with A+4 (5) and stands pat at 5 (5-card P outcome).

RES317 Player Path
P:4->6
RES317 Banker Path
B:5->5
RES317 Deal Length
5 Cards
RES317 Showdown
P (6v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES317 (P4+2->6 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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

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.

Small Road Mark #3

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

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

RES317 Four-Card Opening Deal
Player 2+2=4 vs Banker A+4=5

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

RES317 Fifth-Card Modulo Proof
(4 + 2) mod 10 = 6 via 2

Player draws fifth-card 2 (value 2), transforming two-card 4 into three-card 6.

RES317 Banker Tableau Lookup
BANKER_TABLEAU[5][2] = false

Banker 5 stands pat at 5 without pulling sixth-card 9 (9).

RES317 Card Count & Winner
5 Cards -> P (6 vs 5)

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

RES317 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

Big Eye Boy, Small Road, and Cockroach Pig compare Big Road column depths, not P vs B.

MODULO-10 ARITHMETIC · RES317

Step-by-Step Card Arithmetic for RES317: P(2+2)+2 vs B(A+4)

Evaluating sequence [RES317], the shoe delivers 2+2 (4) to Player and A+4 (5) to Banker; after natural checks clear, fifth-card 2 (2) maps the raw pip total mod 10 (4+2=6) to final Player total 6.

[RES317-B] Five-card branch [RES317] ends as 2 (2) falls outside 5-point four-value window (4..7), keeping Banker 5 at 5 rather than 4 via 9.

Complete 5-Card Resolution Trace for RES317
RES317 StageRES317 CardsRES317 Modulo MathRES317 Status
[RES317:Init]P(2+2)=4 vs B(A+4)=5playerShouldDraw(4)=true4-Card Deal
[RES317:5th]Player +2 (2)(4+2) mod 10 = 65th Card Sideways
[RES317:6th]Banker Stands (skip 9=9)Locked at 55-Card Final
[RES317:Settle]P=6 vs B=5Winner: PBig Road +P
  • [RES317-1] Confirm [RES317] opening P=4 (2+2) and B=5 (A+4) lack Natural 8/9.
  • [RES317-2] Add [RES317] fifth-card 2 (2) to P=4 for (4+2) mod 10 = 6.
  • [RES317-3] Run [RES317] BANKER_TABLEAU[5][2]=false to settle 6 vs 5 (P).
SETTLEMENT & SCOREBOARD · RES317

Showdown Settlement & Scoreboard Logging for RES317 (6 vs 5)

[RES317-C8] Comparing [RES317] final totals (5c), Player 6 vs Banker 5 awards [RES317] to Player (P), which pays 1:1 even money on [RES317] Player boxes with zero commission deducted and appends P to BBPPBBPPPB.

[RES317-D1] Side-bet & road check for [RES317] (P4+2->6 vs B5->5, 5c): [RES317] leaves [RES317] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=5) and leaves [RES317] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES317] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES317, Banker 5 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[5][2] = false.
MythBecause RES317 resolves as P, the next derived-road mark must match P's colour.
TruthDerived roads record Red (=) when Big Road structure repeats and Blue (≠) when it breaks—never Banker or Player.
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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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