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FINAL TOTAL RESOLUTION [RES283] · 6-CARD PROOF

Player 0 + 7 (7) vs. Banker 4 (Draws 7 (7)): 6-Card Resolution #283

In walkthrough RES283, Player opens with 10+K (0) and draws fifth-card 7 (7) for a modulo-10 total of 7, while Banker opens with 2+2 (4) and draws sixth-card 7 (7) for 1 (6-card P outcome).

RES283 Player Path
P:0->7
RES283 Banker Path
B:4->1
RES283 Deal Length
6 Cards
RES283 Showdown
P (7v1)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES283 (P0+7->7 vs B4->1).

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

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

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

RES283 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.

RES283 Fifth-Card Modulo Proof
(0 + 7) mod 10 = 7 via 7

Player draws fifth-card 7 (value 7), transforming two-card 0 into three-card 7.

RES283 Banker Tableau Lookup
BANKER_TABLEAU[4][7] = true

Banker 4 draws sixth-card 7 (7) so (4+7) mod 10 = 1.

RES283 Card Count & Winner
6 Cards -> P (7 vs 1)

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

RES283 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 · RES283

Step-by-Step Card Arithmetic for RES283: P(10+K)+7 vs B(2+2)

During tableau case [RES283], Player holds 10+K for 0 while Banker holds 2+2 for 4; drawing fifth-card 7 (7) shifts Player from 0 to 7, which reduces mod-10 to 7.

[RES283-B] Because BANKER_TABLEAU[4][7]=true (4-point six-value gate (2..7)) in [RES283], Banker 4 takes sixth-card 7 (7) and 4+7=11 settles at 1.

Complete 6-Card Resolution Trace for RES283
RES283 StageRES283 CardsRES283 Modulo MathRES283 Status
[RES283:Init]P(10+K)=0 vs B(2+2)=4playerShouldDraw(0)=true4-Card Deal
[RES283:5th]Player +7 (7)(0+7) mod 10 = 75th Card Sideways
[RES283:6th]Banker +7 (7)(4+7) mod 10 = 16-Card Final
[RES283:Settle]P=7 vs B=1Winner: PBig Road +P
  • [RES283-1] Confirm [RES283] opening P=0 (10+K) and B=4 (2+2) lack Natural 8/9.
  • [RES283-2] Add [RES283] fifth-card 7 (7) to P=0 for (0+7) mod 10 = 7.
  • [RES283-3] Run [RES283] BANKER_TABLEAU[4][7]=true to settle 7 vs 1 (P).
SETTLEMENT & SCOREBOARD · RES283

Showdown Settlement & Scoreboard Logging for RES283 (7 vs 1)

[RES283-C3] Comparing [RES283] final totals (6c), Player 7 vs Banker 1 awards [RES283] to Player (P), which pays 1:1 even money on [RES283] Player boxes with zero commission deducted and appends P to BBPPBPPPBB.

[RES283-D7] Side-bet & road check for [RES283] (P0+7->7 vs B4->1, 6c): [RES283] leaves [RES283] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=1) and leaves [RES283] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES283] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES283, Banker 4 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 7 (value 7) via BANKER_TABLEAU[4][7] = true.
MythBecause RES283 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.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

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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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