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FINAL TOTAL RESOLUTION [RES163] · 6-CARD PROOF

Player 0 + 7 (7) vs. Banker 2 (Draws 5 (5)): 6-Card Resolution #163

In walkthrough RES163, Player opens with 10+K (0) and draws fifth-card 7 (7) for a modulo-10 total of 7, while Banker opens with 10+2 (2) and draws sixth-card 5 (5) for 7 (6-card T outcome).

RES163 Player Path
P:0->7
RES163 Banker Path
B:2->7
RES163 Deal Length
6 Cards
RES163 Showdown
T (7v7)
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 P B B P P B P P P B B B B
Big Eye Boy = ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ = ≠ = = ≠
Small Road = = ≠ = = ≠ ≠ ≠ = ≠ ≠ ≠ = =
Cockroach Pig ≠ = ≠ = = = = ≠ ≠ = ≠ =

Scoreboard sequence paired with 6-card resolution RES163 (P0+7->7 vs B2->7).

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

Column 4 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 5 has 2 beads. 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 2 beads. 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

RES163 Four-Card Opening Deal
Player 10+K=0 vs Banker 10+2=2

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

RES163 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.

RES163 Banker Tableau Lookup
BANKER_TABLEAU[2][7] = true

Banker 2 draws sixth-card 5 (5) so (2+5) mod 10 = 7.

RES163 Card Count & Winner
6 Cards -> T (7 vs 7)

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

RES163 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

Big Eye Boy, Small Road, and Cockroach Pig compare Big Road column depths, not T vs B.

MODULO-10 ARITHMETIC · RES163

Step-by-Step Card Arithmetic for RES163: P(10+K)+7 vs B(10+2)

Evaluating sequence [RES163], the shoe delivers 10+K (0) to Player and 10+2 (2) to Banker; after natural checks clear, fifth-card 7 (7) maps the raw pip total mod 10 (0+7=7) to final Player total 7.

[RES163-B] Triggered by 7 (7) in [RES163] (2-point mandatory draw band), Banker 2 receives 5 (5) and computes (2+5) mod 10 = 7.

Complete 6-Card Resolution Trace for RES163
RES163 StageRES163 CardsRES163 Modulo MathRES163 Status
[RES163:Init]P(10+K)=0 vs B(10+2)=2playerShouldDraw(0)=true4-Card Deal
[RES163:5th]Player +7 (7)(0+7) mod 10 = 75th Card Sideways
[RES163:6th]Banker +5 (5)(2+5) mod 10 = 76-Card Final
[RES163:Settle]P=7 vs B=7Winner: TBig Road +T
  • [RES163-1] Confirm [RES163] opening P=0 (10+K) and B=2 (10+2) lack Natural 8/9.
  • [RES163-2] Add [RES163] fifth-card 7 (7) to P=0 for (0+7) mod 10 = 7.
  • [RES163-3] Run [RES163] BANKER_TABLEAU[2][7]=true to settle 7 vs 7 (T).
SETTLEMENT & SCOREBOARD · RES163

Showdown Settlement & Scoreboard Logging for RES163 (7 vs 7)

[RES163-C8] Comparing [RES163] final totals (6c), Player 7 vs Banker 7 awards [RES163] to Tie (T), which pushes main [RES163] Player/Banker wagers while settling [RES163] Tie bets at 8:1 or 9:1 and appends T to BBPPPBBPBB.

[RES163-D6] Side-bet & road check for [RES163] (P0+7->7 vs B2->7, 6c): [RES163] leaves [RES163] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=7) and leaves [RES163] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES163] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES163, Banker 2 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 7 (value 7) via BANKER_TABLEAU[2][7] = true.
MythBecause RES163 resolves as T, the next derived-road mark must match T'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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