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FINAL TOTAL RESOLUTION [RES375] · 5-CARD PROOF

Player 2 + 2 (2) vs. Banker 6 (Stands at 6): 5-Card Resolution #375

In walkthrough RES375, Player opens with 10+2 (2) and draws fifth-card 2 (2) for a modulo-10 total of 4, while Banker opens with 3+3 (6) and stands pat at 6 (5-card B outcome).

RES375 Player Path
P:2->4
RES375 Banker Path
B:6->6
RES375 Deal Length
5 Cards
RES375 Showdown
B (4v6)
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 5-card resolution RES375 (P2+2->4 vs B6->6).

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

RES375 Four-Card Opening Deal
Player 10+2=2 vs Banker 3+3=6

Verified non-natural start via handTotal([10,2])=2 and handTotal([3,3])=6.

RES375 Fifth-Card Modulo Proof
(2 + 2) mod 10 = 4 via 2

Player draws fifth-card 2 (value 2), transforming two-card 2 into three-card 4.

RES375 Banker Tableau Lookup
BANKER_TABLEAU[6][2] = false

Banker 6 stands pat at 6 without pulling sixth-card 2 (2).

RES375 Card Count & Winner
5 Cards -> B (4 vs 6)

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

RES375 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 · RES375

Step-by-Step Card Arithmetic for RES375: P(10+2)+2 vs B(3+3)

Shoe deal [RES375] places 10+2 (2) on Player and 3+3 (6) on Banker; because 2 is below 6, Player draws 2 (2) and 4 truncates the decimal tens place to 4.

[RES375-B] Because BANKER_TABLEAU[6][2]=false (6-point two-value trigger (6..7)) in [RES375], Banker 6 locks 6 at 5c (leaving 2=2 -> 8 unpulled).

Complete 5-Card Resolution Trace for RES375
RES375 StageRES375 CardsRES375 Modulo MathRES375 Status
[RES375:Init]P(10+2)=2 vs B(3+3)=6playerShouldDraw(2)=true4-Card Deal
[RES375:5th]Player +2 (2)(2+2) mod 10 = 45th Card Sideways
[RES375:6th]Banker Stands (skip 2=2)Locked at 65-Card Final
[RES375:Settle]P=4 vs B=6Winner: BBig Road +B
  • [RES375-1] Confirm [RES375] opening P=2 (10+2) and B=6 (3+3) lack Natural 8/9.
  • [RES375-2] Add [RES375] fifth-card 2 (2) to P=2 for (2+2) mod 10 = 4.
  • [RES375-3] Run [RES375] BANKER_TABLEAU[6][2]=false to settle 4 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES375

Showdown Settlement & Scoreboard Logging for RES375 (4 vs 6)

[RES375-C1] Comparing [RES375] final totals (5c), Player 4 vs Banker 6 awards [RES375] to Banker (B), which pays 0.95:1 on 5%-commission [RES375] layouts (or 0.5:1 on 6 at No-Commission [RES375] tables) and appends B to BBPPBPBPPP.

[RES375-D3] Side-bet & road check for [RES375] (P2+2->4 vs B6->6, 5c): [RES375] leaves [RES375] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and leaves [RES375] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES375] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES375, Banker 6 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[6][2] = false.
MythBecause RES375 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