Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Resolution #82
FINAL TOTAL RESOLUTION [RES082] · 6-CARD PROOF

Player 3 + 3 (3) vs. Banker 1 (Draws 10 (0)): 6-Card Resolution #82

In walkthrough RES082, Player opens with 9+4 (3) and draws fifth-card 3 (3) for a modulo-10 total of 6, while Banker opens with 10+A (1) and draws sixth-card 10 (0) for 1 (6-card P outcome).

RES082 Player Path
P:3->6
RES082 Banker Path
B:1->1
RES082 Deal Length
6 Cards
RES082 Showdown
P (6v1)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES082 (P3+3->6 vs B1->1).

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

RES082 Four-Card Opening Deal
Player 9+4=3 vs Banker 10+A=1

Verified non-natural start via handTotal([9,4])=3 and handTotal([10,A])=1.

RES082 Fifth-Card Modulo Proof
(3 + 3) mod 10 = 6 via 3

Player draws fifth-card 3 (value 3), transforming two-card 3 into three-card 6.

RES082 Banker Tableau Lookup
BANKER_TABLEAU[1][3] = true

Banker 1 draws sixth-card 10 (0) so (1+0) mod 10 = 1.

RES082 Card Count & Winner
6 Cards -> P (6 vs 1)

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

RES082 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

Big Eye Boy, Small Road, and Cockroach Pig compare Big Road column depths, not P vs B.

MODULO-10 ARITHMETIC · RES082

Step-by-Step Card Arithmetic for RES082: P(9+4)+3 vs B(10+A)

Floor verification [RES082] inspects Player 9+4 (3) versus Banker 10+A (1); once fifth-card 3 (3) is exposed sideways, 3+3=6 drops the tens digit to three-card 6.

[RES082-B] Evaluating bankerShouldDraw(1, 3)=true (1-point automatic draw row) in [RES082], sixth-card 10 (0) advances Banker 1 via 1+0=1 to 1.

Complete 6-Card Resolution Trace for RES082
RES082 StageRES082 CardsRES082 Modulo MathRES082 Status
[RES082:Init]P(9+4)=3 vs B(10+A)=1playerShouldDraw(3)=true4-Card Deal
[RES082:5th]Player +3 (3)(3+3) mod 10 = 65th Card Sideways
[RES082:6th]Banker +10 (0)(1+0) mod 10 = 16-Card Final
[RES082:Settle]P=6 vs B=1Winner: PBig Road +P
  • [RES082-1] Confirm [RES082] opening P=3 (9+4) and B=1 (10+A) lack Natural 8/9.
  • [RES082-2] Add [RES082] fifth-card 3 (3) to P=3 for (3+3) mod 10 = 6.
  • [RES082-3] Run [RES082] BANKER_TABLEAU[1][3]=true to settle 6 vs 1 (P).
SETTLEMENT & SCOREBOARD · RES082

Showdown Settlement & Scoreboard Logging for RES082 (6 vs 1)

[RES082-C10] Comparing [RES082] final totals (6c), Player 6 vs Banker 1 awards [RES082] to Player (P), which pays 1:1 even money on [RES082] Player boxes with zero commission deducted and appends P to PPBBPBPPBB.

[RES082-D5] Side-bet & road check for [RES082] (P3+3->6 vs B1->1, 6c): [RES082] leaves [RES082] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=1) and leaves [RES082] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES082] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES082, Banker 1 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[1][3] = true.
MythBecause RES082 resolves as P, the next derived-road mark must match P'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