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FINAL TOTAL RESOLUTION [RES303] · 5-CARD PROOF

Player 2 + 10 (0) vs. Banker 5 (Stands at 5): 5-Card Resolution #303

In walkthrough RES303, Player opens with 10+2 (2) and draws fifth-card 10 (0) for a modulo-10 total of 2, while Banker opens with A+4 (5) and stands pat at 5 (5-card B outcome).

RES303 Player Path
P:2->2
RES303 Banker Path
B:5->5
RES303 Deal Length
5 Cards
RES303 Showdown
B (2v5)
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 RES303 (P2+0->2 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

RES303 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.

RES303 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.

RES303 Banker Tableau Lookup
BANKER_TABLEAU[5][0] = false

Banker 5 stands pat at 5 without pulling sixth-card 3 (3).

RES303 Card Count & Winner
5 Cards -> B (2 vs 5)

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

RES303 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 · RES303

Step-by-Step Card Arithmetic for RES303: P(10+2)+10 vs B(A+4)

Evaluating sequence [RES303], the shoe delivers 10+2 (2) to Player and A+4 (5) to Banker; after natural checks clear, fifth-card 10 (0) maps the raw pip total mod 10 (2+0=2) to final Player total 2.

[RES303-B] Evaluating bankerShouldDraw(5, 0)=false (5-point four-value window (4..7)) in [RES303], Banker 5 preserves 5 while 3 (3) remains undealt.

Complete 5-Card Resolution Trace for RES303
RES303 StageRES303 CardsRES303 Modulo MathRES303 Status
[RES303:Init]P(10+2)=2 vs B(A+4)=5playerShouldDraw(2)=true4-Card Deal
[RES303:5th]Player +10 (0)(2+0) mod 10 = 25th Card Sideways
[RES303:6th]Banker Stands (skip 3=3)Locked at 55-Card Final
[RES303:Settle]P=2 vs B=5Winner: BBig Road +B
  • [RES303-1] Confirm [RES303] opening P=2 (10+2) and B=5 (A+4) lack Natural 8/9.
  • [RES303-2] Add [RES303] fifth-card 10 (0) to P=2 for (2+0) mod 10 = 2.
  • [RES303-3] Run [RES303] BANKER_TABLEAU[5][0]=false to settle 2 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES303

Showdown Settlement & Scoreboard Logging for RES303 (2 vs 5)

[RES303-C4] Comparing [RES303] final totals (5c), Player 2 vs Banker 5 awards [RES303] to Banker (B), which pays 0.95:1 on 5%-commission [RES303] layouts (or 0.5:1 on 6 at No-Commission [RES303] tables) and appends B to BBPPBPBBPB.

[RES303-D5] Side-bet & road check for [RES303] (P2+0->2 vs B5->5, 5c): [RES303] leaves [RES303] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=5) and leaves [RES303] Panda 8 inactive (needs winning 3c Player 8, got P=2); on [RES303] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES303, Banker 5 evaluates Player's three-card total (2) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[5][0] = false.
MythBecause RES303 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
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