Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Resolution #65
FINAL TOTAL RESOLUTION [RES065] · 6-CARD PROOF

Player 4 + 10 (0) vs. Banker 1 (Draws 7 (7)): 6-Card Resolution #65

In walkthrough RES065, Player opens with 2+2 (4) and draws fifth-card 10 (0) for a modulo-10 total of 4, while Banker opens with 7+4 (1) and draws sixth-card 7 (7) for 8 (6-card B outcome).

RES065 Player Path
P:4->4
RES065 Banker Path
B:1->8
RES065 Deal Length
6 Cards
RES065 Showdown
B (4v8)
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 B P P B P P P B B B P B B
Big Eye Boy = = ≠ = ≠ ≠ = = ≠ ≠ = ≠ = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ =
Cockroach Pig ≠ = = ≠ ≠ = = ≠ ≠ = ≠ ≠ = =

Scoreboard sequence paired with 6-card resolution RES065 (P4+0->4 vs B1->8).

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

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 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.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

  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 2 beads. Same depth → red (=).

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

RES065 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.

RES065 Fifth-Card Modulo Proof
(4 + 0) mod 10 = 4 via 10

Player draws fifth-card 10 (value 0), transforming two-card 4 into three-card 4.

RES065 Banker Tableau Lookup
BANKER_TABLEAU[1][0] = true

Banker 1 draws sixth-card 7 (7) so (1+7) mod 10 = 8.

RES065 Card Count & Winner
6 Cards -> B (4 vs 8)

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

RES065 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 · RES065

Step-by-Step Card Arithmetic for RES065: P(2+2)+10 vs B(7+4)

Evaluating sequence [RES065], the shoe delivers 2+2 (4) to Player and 7+4 (1) to Banker; after natural checks clear, fifth-card 10 (0) maps the raw pip total mod 10 (4+0=4) to final Player total 4.

[RES065-B] Acting on 10=0 inside [RES065], Banker 1 follows 1-point automatic draw row and pulls 7 (7) for 1+7=8 -> 8.

Complete 6-Card Resolution Trace for RES065
RES065 StageRES065 CardsRES065 Modulo MathRES065 Status
[RES065:Init]P(2+2)=4 vs B(7+4)=1playerShouldDraw(4)=true4-Card Deal
[RES065:5th]Player +10 (0)(4+0) mod 10 = 45th Card Sideways
[RES065:6th]Banker +7 (7)(1+7) mod 10 = 86-Card Final
[RES065:Settle]P=4 vs B=8Winner: BBig Road +B
  • [RES065-1] Confirm [RES065] opening P=4 (2+2) and B=1 (7+4) lack Natural 8/9.
  • [RES065-2] Add [RES065] fifth-card 10 (0) to P=4 for (4+0) mod 10 = 4.
  • [RES065-3] Run [RES065] BANKER_TABLEAU[1][0]=true to settle 4 vs 8 (B).
SETTLEMENT & SCOREBOARD · RES065

Showdown Settlement & Scoreboard Logging for RES065 (4 vs 8)

[RES065-C2] Comparing [RES065] final totals (6c), Player 4 vs Banker 8 awards [RES065] to Banker (B), which pays 0.95:1 on 5%-commission [RES065] layouts (or 0.5:1 on 6 at No-Commission [RES065] tables) and appends B to BBPPBPBBPP.

[RES065-D8] Side-bet & road check for [RES065] (P4+0->4 vs B1->8, 6c): [RES065] leaves [RES065] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=8) and leaves [RES065] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES065] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES065, Banker 1 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[1][0] = true.
MythBecause RES065 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

Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.

  • 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