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FINAL TOTAL RESOLUTION [RES247] · 5-CARD PROOF

Player 0 + A (1) vs. Banker 4 (Stands at 4): 5-Card Resolution #247

In walkthrough RES247, Player opens with 10+K (0) and draws fifth-card A (1) for a modulo-10 total of 1, while Banker opens with 2+2 (4) and stands pat at 4 (5-card B outcome).

RES247 Player Path
P:0->1
RES247 Banker Path
B:4->4
RES247 Deal Length
5 Cards
RES247 Showdown
B (1v4)
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 P P P B B B B P P B P B B
Big Eye Boy = = ≠ = = ≠ = ≠ = = ≠ ≠ = ≠ ≠ = ≠
Small Road ≠ ≠ = ≠ = ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠
Cockroach Pig ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ =

Scoreboard sequence paired with 5-card resolution RES247 (P0+1->1 vs B4->4).

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

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

RES247 Four-Card Opening Deal
Player 10+K=0 vs Banker 2+2=4

Verified non-natural start via handTotal([10,K])=0 and handTotal([2,2])=4.

RES247 Fifth-Card Modulo Proof
(0 + 1) mod 10 = 1 via A

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

RES247 Banker Tableau Lookup
BANKER_TABLEAU[4][1] = false

Banker 4 stands pat at 4 without pulling sixth-card 3 (3).

RES247 Card Count & Winner
5 Cards -> B (1 vs 4)

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

RES247 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 · RES247

Step-by-Step Card Arithmetic for RES247: P(10+K)+A vs B(2+2)

Evaluating sequence [RES247], the shoe delivers 10+K (0) to Player and 2+2 (4) to Banker; after natural checks clear, fifth-card A (1) maps the raw pip total mod 10 (0+1=1) to final Player total 1.

[RES247-B] Inspecting A=1 via 4-point six-value gate (2..7) in [RES247], Banker 4 stands at 4; 3 (3) stays in the shoe instead of 7.

Complete 5-Card Resolution Trace for RES247
RES247 StageRES247 CardsRES247 Modulo MathRES247 Status
[RES247:Init]P(10+K)=0 vs B(2+2)=4playerShouldDraw(0)=true4-Card Deal
[RES247:5th]Player +A (1)(0+1) mod 10 = 15th Card Sideways
[RES247:6th]Banker Stands (skip 3=3)Locked at 45-Card Final
[RES247:Settle]P=1 vs B=4Winner: BBig Road +B
  • [RES247-1] Confirm [RES247] opening P=0 (10+K) and B=4 (2+2) lack Natural 8/9.
  • [RES247-2] Add [RES247] fifth-card A (1) to P=0 for (0+1) mod 10 = 1.
  • [RES247-3] Run [RES247] BANKER_TABLEAU[4][1]=false to settle 1 vs 4 (B).
SETTLEMENT & SCOREBOARD · RES247

Showdown Settlement & Scoreboard Logging for RES247 (1 vs 4)

[RES247-C10] Comparing [RES247] final totals (5c), Player 1 vs Banker 4 awards [RES247] to Banker (B), which pays 0.95:1 on 5%-commission [RES247] layouts (or 0.5:1 on 6 at No-Commission [RES247] tables) and appends B to BBPPBPBPPP.

[RES247-D8] Side-bet & road check for [RES247] (P0+1->1 vs B4->4, 5c): [RES247] leaves [RES247] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=4) and leaves [RES247] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES247] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES247, Banker 4 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[4][1] = false.
MythBecause RES247 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
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
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