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FINAL TOTAL RESOLUTION [RES199] · 6-CARD PROOF

Player 0 + 3 (3) vs. Banker 3 (Draws 10 (0)): 6-Card Resolution #199

In walkthrough RES199, Player opens with 10+K (0) and draws fifth-card 3 (3) for a modulo-10 total of 3, while Banker opens with 9+4 (3) and draws sixth-card 10 (0) for 3 (6-card T outcome).

RES199 Player Path
P:0->3
RES199 Banker Path
B:3->3
RES199 Deal Length
6 Cards
RES199 Showdown
T (3v3)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES199 (P0+3->3 vs B3->3).

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

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 3.
  2. Column 3 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

RES199 Four-Card Opening Deal
Player 10+K=0 vs Banker 9+4=3

Verified non-natural start via handTotal([10,K])=0 and handTotal([9,4])=3.

RES199 Fifth-Card Modulo Proof
(0 + 3) mod 10 = 3 via 3

Player draws fifth-card 3 (value 3), transforming two-card 0 into three-card 3.

RES199 Banker Tableau Lookup
BANKER_TABLEAU[3][3] = true

Banker 3 draws sixth-card 10 (0) so (3+0) mod 10 = 3.

RES199 Card Count & Winner
6 Cards -> T (3 vs 3)

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

RES199 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 · RES199

Step-by-Step Card Arithmetic for RES199: P(10+K)+3 vs B(9+4)

During tableau case [RES199], Player holds 10+K for 0 while Banker holds 9+4 for 3; drawing fifth-card 3 (3) shifts Player from 0 to 3, which reduces mod-10 to 3.

[RES199-B] Evaluating bankerShouldDraw(3, 3)=true (3-point single-shade row (0..7, 9)) in [RES199], sixth-card 10 (0) advances Banker 3 via 3+0=3 to 3.

Complete 6-Card Resolution Trace for RES199
RES199 StageRES199 CardsRES199 Modulo MathRES199 Status
[RES199:Init]P(10+K)=0 vs B(9+4)=3playerShouldDraw(0)=true4-Card Deal
[RES199:5th]Player +3 (3)(0+3) mod 10 = 35th Card Sideways
[RES199:6th]Banker +10 (0)(3+0) mod 10 = 36-Card Final
[RES199:Settle]P=3 vs B=3Winner: TBig Road +T
  • [RES199-1] Confirm [RES199] opening P=0 (10+K) and B=3 (9+4) lack Natural 8/9.
  • [RES199-2] Add [RES199] fifth-card 3 (3) to P=0 for (0+3) mod 10 = 3.
  • [RES199-3] Run [RES199] BANKER_TABLEAU[3][3]=true to settle 3 vs 3 (T).
SETTLEMENT & SCOREBOARD · RES199

Showdown Settlement & Scoreboard Logging for RES199 (3 vs 3)

[RES199-C1] Comparing [RES199] final totals (6c), Player 3 vs Banker 3 awards [RES199] to Tie (T), which pushes main [RES199] Player/Banker wagers while settling [RES199] Tie bets at 8:1 or 9:1 and appends T to BBPPBPBPPP.

[RES199-D5] Side-bet & road check for [RES199] (P0+3->3 vs B3->3, 6c): [RES199] leaves [RES199] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=3) and leaves [RES199] Panda 8 inactive (needs winning 3c Player 8, got P=3); on [RES199] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES199, Banker 3 evaluates Player's three-card total (3) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[3][3] = true.
MythBecause RES199 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
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
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