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FINAL TOTAL RESOLUTION [RES121] · 6-CARD PROOF

Player 0 + 10 (0) vs. Banker 2 (Draws 2 (2)): 6-Card Resolution #121

In walkthrough RES121, Player opens with 10+K (0) and draws fifth-card 10 (0) for a modulo-10 total of 0, while Banker opens with 10+2 (2) and draws sixth-card 2 (2) for 4 (6-card B outcome).

RES121 Player Path
P:0->0
RES121 Banker Path
B:2->4
RES121 Deal Length
6 Cards
RES121 Showdown
B (0v4)
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 B B P P B P P P B B B P B
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ = = = ≠
Small Road = ≠ = ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠
Cockroach Pig = = ≠ = = ≠ = ≠ ≠ =

Scoreboard sequence paired with 6-card resolution RES121 (P0+0->0 vs B2->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 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

RES121 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.

RES121 Fifth-Card Modulo Proof
(0 + 0) mod 10 = 0 via 10

Player draws fifth-card 10 (value 0), transforming two-card 0 into three-card 0.

RES121 Banker Tableau Lookup
BANKER_TABLEAU[2][0] = true

Banker 2 draws sixth-card 2 (2) so (2+2) mod 10 = 4.

RES121 Card Count & Winner
6 Cards -> B (0 vs 4)

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

RES121 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 · RES121

Step-by-Step Card Arithmetic for RES121: P(10+K)+10 vs B(10+2)

Evaluating sequence [RES121], the shoe delivers 10+K (0) to Player and 10+2 (2) to Banker; after natural checks clear, fifth-card 10 (0) maps the raw pip total mod 10 (0+0=0) to final Player total 0.

[RES121-B] Evaluating bankerShouldDraw(2, 0)=true (2-point mandatory draw band) in [RES121], sixth-card 2 (2) advances Banker 2 via 2+2=4 to 4.

Complete 6-Card Resolution Trace for RES121
RES121 StageRES121 CardsRES121 Modulo MathRES121 Status
[RES121:Init]P(10+K)=0 vs B(10+2)=2playerShouldDraw(0)=true4-Card Deal
[RES121:5th]Player +10 (0)(0+0) mod 10 = 05th Card Sideways
[RES121:6th]Banker +2 (2)(2+2) mod 10 = 46-Card Final
[RES121:Settle]P=0 vs B=4Winner: BBig Road +B
  • [RES121-1] Confirm [RES121] opening P=0 (10+K) and B=2 (10+2) lack Natural 8/9.
  • [RES121-2] Add [RES121] fifth-card 10 (0) to P=0 for (0+0) mod 10 = 0.
  • [RES121-3] Run [RES121] BANKER_TABLEAU[2][0]=true to settle 0 vs 4 (B).
SETTLEMENT & SCOREBOARD · RES121

Showdown Settlement & Scoreboard Logging for RES121 (0 vs 4)

[RES121-C7] Comparing [RES121] final totals (6c), Player 0 vs Banker 4 awards [RES121] to Banker (B), which pays 0.95:1 on 5%-commission [RES121] layouts (or 0.5:1 on 6 at No-Commission [RES121] tables) and appends B to BBPPPBBBBP.

[RES121-D5] Side-bet & road check for [RES121] (P0+0->0 vs B2->4, 6c): [RES121] leaves [RES121] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=4) and leaves [RES121] Panda 8 inactive (needs winning 3c Player 8, got P=0); on [RES121] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES121, Banker 2 evaluates Player's three-card total (0) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[2][0] = true.
MythBecause RES121 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
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