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FINAL TOTAL RESOLUTION [RES302] · 5-CARD PROOF

Player 1 + 10 (0) vs. Banker 5 (Stands at 5): 5-Card Resolution #302

In walkthrough RES302, Player opens with 7+4 (1) and draws fifth-card 10 (0) for a modulo-10 total of 1, while Banker opens with 2+3 (5) and stands pat at 5 (5-card B outcome).

RES302 Player Path
P:1->1
RES302 Banker Path
B:5->5
RES302 Deal Length
5 Cards
RES302 Showdown
B (1v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES302 (P1+0->1 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

RES302 Four-Card Opening Deal
Player 7+4=1 vs Banker 2+3=5

Verified non-natural start via handTotal([7,4])=1 and handTotal([2,3])=5.

RES302 Fifth-Card Modulo Proof
(1 + 0) mod 10 = 1 via 10

Player draws fifth-card 10 (value 0), transforming two-card 1 into three-card 1.

RES302 Banker Tableau Lookup
BANKER_TABLEAU[5][0] = false

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

RES302 Card Count & Winner
5 Cards -> B (1 vs 5)

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

RES302 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 · RES302

Step-by-Step Card Arithmetic for RES302: P(7+4)+10 vs B(2+3)

Arithmetic trace [RES302] starts from four-card deal 7+4=1 vs 2+3=5; Player's compulsory draw of 10 (pip value 0) produces raw 1, which wraps modulo-10 to 1.

[RES302-B] Evaluating bankerShouldDraw(5, 0)=false (5-point four-value window (4..7)) in [RES302], Banker 5 preserves 5 while 9 (9) remains undealt.

Complete 5-Card Resolution Trace for RES302
RES302 StageRES302 CardsRES302 Modulo MathRES302 Status
[RES302:Init]P(7+4)=1 vs B(2+3)=5playerShouldDraw(1)=true4-Card Deal
[RES302:5th]Player +10 (0)(1+0) mod 10 = 15th Card Sideways
[RES302:6th]Banker Stands (skip 9=9)Locked at 55-Card Final
[RES302:Settle]P=1 vs B=5Winner: BBig Road +B
  • [RES302-1] Confirm [RES302] opening P=1 (7+4) and B=5 (2+3) lack Natural 8/9.
  • [RES302-2] Add [RES302] fifth-card 10 (0) to P=1 for (1+0) mod 10 = 1.
  • [RES302-3] Run [RES302] BANKER_TABLEAU[5][0]=false to settle 1 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES302

Showdown Settlement & Scoreboard Logging for RES302 (1 vs 5)

[RES302-C10] Comparing [RES302] final totals (5c), Player 1 vs Banker 5 awards [RES302] to Banker (B), which pays 0.95:1 on 5%-commission [RES302] layouts (or 0.5:1 on 6 at No-Commission [RES302] tables) and appends B to PPBBPPBBBP.

[RES302-D9] Side-bet & road check for [RES302] (P1+0->1 vs B5->5, 5c): [RES302] leaves [RES302] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=5) and leaves [RES302] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES302] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES302, Banker 5 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[5][0] = false.
MythBecause RES302 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.
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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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