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FINAL TOTAL RESOLUTION [RES101] · 6-CARD PROOF

Player 4 + 6 (6) vs. Banker 1 (Draws A (1)): 6-Card Resolution #101

In walkthrough RES101, Player opens with 2+2 (4) and draws fifth-card 6 (6) for a modulo-10 total of 0, while Banker opens with 7+4 (1) and draws sixth-card A (1) for 2 (6-card B outcome).

RES101 Player Path
P:4->0
RES101 Banker Path
B:1->2
RES101 Deal Length
6 Cards
RES101 Showdown
B (0v2)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES101 (P4+6->0 vs B1->2).

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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

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.

Small Road Mark #3

Column 4 has 1 bead. Column 2 has 2 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 2 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 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

RES101 Four-Card Opening Deal
Player 2+2=4 vs Banker 7+4=1

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

RES101 Fifth-Card Modulo Proof
(4 + 6) mod 10 = 0 via 6

Player draws fifth-card 6 (value 6), transforming two-card 4 into three-card 0.

RES101 Banker Tableau Lookup
BANKER_TABLEAU[1][6] = true

Banker 1 draws sixth-card A (1) so (1+1) mod 10 = 2.

RES101 Card Count & Winner
6 Cards -> B (0 vs 2)

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

RES101 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 · RES101

Step-by-Step Card Arithmetic for RES101: P(2+2)+6 vs B(7+4)

During tableau case [RES101], Player holds 2+2 for 4 while Banker holds 7+4 for 1; drawing fifth-card 6 (6) shifts Player from 4 to 10, which reduces mod-10 to 0.

[RES101-B] Because BANKER_TABLEAU[1][6]=true (1-point automatic draw row) in [RES101], Banker 1 takes sixth-card A (1) and 1+1=2 settles at 2.

Complete 6-Card Resolution Trace for RES101
RES101 StageRES101 CardsRES101 Modulo MathRES101 Status
[RES101:Init]P(2+2)=4 vs B(7+4)=1playerShouldDraw(4)=true4-Card Deal
[RES101:5th]Player +6 (6)(4+6) mod 10 = 05th Card Sideways
[RES101:6th]Banker +A (1)(1+1) mod 10 = 26-Card Final
[RES101:Settle]P=0 vs B=2Winner: BBig Road +B
  • [RES101-1] Confirm [RES101] opening P=4 (2+2) and B=1 (7+4) lack Natural 8/9.
  • [RES101-2] Add [RES101] fifth-card 6 (6) to P=4 for (4+6) mod 10 = 0.
  • [RES101-3] Run [RES101] BANKER_TABLEAU[1][6]=true to settle 0 vs 2 (B).
SETTLEMENT & SCOREBOARD · RES101

Showdown Settlement & Scoreboard Logging for RES101 (0 vs 2)

[RES101-C6] Comparing [RES101] final totals (6c), Player 0 vs Banker 2 awards [RES101] to Banker (B), which pays 0.95:1 on 5%-commission [RES101] layouts (or 0.5:1 on 6 at No-Commission [RES101] tables) and appends B to BBPPBBPBPB.

[RES101-D7] Side-bet & road check for [RES101] (P4+6->0 vs B1->2, 6c): [RES101] leaves [RES101] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=2) and leaves [RES101] Panda 8 inactive (needs winning 3c Player 8, got P=0); on [RES101] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES101, Banker 1 evaluates Player's three-card total (0) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[1][6] = true.
MythBecause RES101 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

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
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android