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FINAL TOTAL RESOLUTION [RES313] · 5-CARD PROOF

Player 0 + 2 (2) vs. Banker 5 (Stands at 5): 5-Card Resolution #313

In walkthrough RES313, Player opens with 10+K (0) and draws fifth-card 2 (2) for a modulo-10 total of 2, while Banker opens with A+4 (5) and stands pat at 5 (5-card B outcome).

RES313 Player Path
P:0->2
RES313 Banker Path
B:5->5
RES313 Deal Length
5 Cards
RES313 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 P B B B B P P B P P P B B B P B
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ = = = ≠
Small Road = ≠ = ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠
Cockroach Pig = = ≠ = = ≠ = ≠ ≠ =

Scoreboard sequence paired with 5-card resolution RES313 (P0+2->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 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back.
  2. Column 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

  1. Column 3 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

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

RES313 Four-Card Opening Deal
Player 10+K=0 vs Banker A+4=5

Verified non-natural start via handTotal([10,K])=0 and handTotal([A,4])=5.

RES313 Fifth-Card Modulo Proof
(0 + 2) mod 10 = 2 via 2

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

RES313 Banker Tableau Lookup
BANKER_TABLEAU[5][2] = false

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

RES313 Card Count & Winner
5 Cards -> B (2 vs 5)

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

RES313 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 · RES313

Step-by-Step Card Arithmetic for RES313: P(10+K)+2 vs B(A+4)

Under audit [RES313], Player opens on two-card 0 (10+K) opposite Banker 5 (A+4), triggering a mandatory fifth-card pull of 2 (value 2) that settles via mod-10 arithmetic from 2 into 2.

[RES313-B] Under 5-point four-value window (4..7) for [RES313], 2 (2) closes action at 5c with Banker at 5 (had 3=3 landed, 5+3=8 -> 8).

Complete 5-Card Resolution Trace for RES313
RES313 StageRES313 CardsRES313 Modulo MathRES313 Status
[RES313:Init]P(10+K)=0 vs B(A+4)=5playerShouldDraw(0)=true4-Card Deal
[RES313:5th]Player +2 (2)(0+2) mod 10 = 25th Card Sideways
[RES313:6th]Banker Stands (skip 3=3)Locked at 55-Card Final
[RES313:Settle]P=2 vs B=5Winner: BBig Road +B
  • [RES313-1] Confirm [RES313] opening P=0 (10+K) and B=5 (A+4) lack Natural 8/9.
  • [RES313-2] Add [RES313] fifth-card 2 (2) to P=0 for (0+2) mod 10 = 2.
  • [RES313-3] Run [RES313] BANKER_TABLEAU[5][2]=false to settle 2 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES313

Showdown Settlement & Scoreboard Logging for RES313 (2 vs 5)

[RES313-C10] Comparing [RES313] final totals (5c), Player 2 vs Banker 5 awards [RES313] to Banker (B), which pays 0.95:1 on 5%-commission [RES313] layouts (or 0.5:1 on 6 at No-Commission [RES313] tables) and appends B to BBPPPBBBBP.

[RES313-D4] Side-bet & road check for [RES313] (P0+2->2 vs B5->5, 5c): [RES313] leaves [RES313] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=5) and leaves [RES313] Panda 8 inactive (needs winning 3c Player 8, got P=2); on [RES313] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES313, Banker 5 evaluates Player's three-card total (2) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[5][2] = false.
MythBecause RES313 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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