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FINAL TOTAL RESOLUTION [RES170] · 6-CARD PROOF

Player 1 + 8 (8) vs. Banker 2 (Draws 8 (8)): 6-Card Resolution #170

In walkthrough RES170, Player opens with 7+4 (1) and draws fifth-card 8 (8) for a modulo-10 total of 9, while Banker opens with 8+4 (2) and draws sixth-card 8 (8) for 0 (6-card P outcome).

RES170 Player Path
P:1->9
RES170 Banker Path
B:2->0
RES170 Deal Length
6 Cards
RES170 Showdown
P (9v0)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES170 (P1+8->9 vs B2->0).

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

RES170 Four-Card Opening Deal
Player 7+4=1 vs Banker 8+4=2

Verified non-natural start via handTotal([7,4])=1 and handTotal([8,4])=2.

RES170 Fifth-Card Modulo Proof
(1 + 8) mod 10 = 9 via 8

Player draws fifth-card 8 (value 8), transforming two-card 1 into three-card 9.

RES170 Banker Tableau Lookup
BANKER_TABLEAU[2][8] = true

Banker 2 draws sixth-card 8 (8) so (2+8) mod 10 = 0.

RES170 Card Count & Winner
6 Cards -> P (9 vs 0)

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

RES170 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 · RES170

Step-by-Step Card Arithmetic for RES170: P(7+4)+8 vs B(8+4)

Engine check [RES170] confirms `playerShouldDraw(1) === true` on 7+4 vs Banker 8+4 (2); adding fifth-card 8 (8) gives 9, which evaluates modulo ten to 9.

[RES170-B] Under 2-point mandatory draw band for [RES170], exposed 8 (8) obligates Banker 2 to draw 8 (8), converting 2+8=10 into 0.

Complete 6-Card Resolution Trace for RES170
RES170 StageRES170 CardsRES170 Modulo MathRES170 Status
[RES170:Init]P(7+4)=1 vs B(8+4)=2playerShouldDraw(1)=true4-Card Deal
[RES170:5th]Player +8 (8)(1+8) mod 10 = 95th Card Sideways
[RES170:6th]Banker +8 (8)(2+8) mod 10 = 06-Card Final
[RES170:Settle]P=9 vs B=0Winner: PBig Road +P
  • [RES170-1] Confirm [RES170] opening P=1 (7+4) and B=2 (8+4) lack Natural 8/9.
  • [RES170-2] Add [RES170] fifth-card 8 (8) to P=1 for (1+8) mod 10 = 9.
  • [RES170-3] Run [RES170] BANKER_TABLEAU[2][8]=true to settle 9 vs 0 (P).
SETTLEMENT & SCOREBOARD · RES170

Showdown Settlement & Scoreboard Logging for RES170 (9 vs 0)

[RES170-C10] Comparing [RES170] final totals (6c), Player 9 vs Banker 0 awards [RES170] to Player (P), which pays 1:1 even money on [RES170] Player boxes with zero commission deducted and appends P to PPBBBPPPPB.

[RES170-D4] Side-bet & road check for [RES170] (P1+8->9 vs B2->0, 6c): [RES170] leaves [RES170] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=0) and leaves [RES170] Panda 8 inactive (needs winning 3c Player 8, got P=9); on [RES170] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES170, Banker 2 evaluates Player's three-card total (9) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 8 (value 8) via BANKER_TABLEAU[2][8] = true.
MythBecause RES170 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

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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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