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DECISION CELL [B=6, P3=6] · ENGINE VERIFIED

Banker 6 vs. Player Third Card 6: Why Banker Always Draws

When the Banker holds a two-card total of 6 and the Player draws a third card with a point value of 6 (a 6), the official Punto Banco tableau mandates that the Banker DRAWS. Every such hand resolves in exactly 6 cards (3 Player, 3 Banker).

Banker 6 Action vs P3=6
DRAW
Exact Hand Card Count
6 Cards
Banker 2-Card Total
6
Player 3rd Card Point Value
6
Engine-Verified Scoreboard · 34 Hands

Read the Board at Table Speed

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

Engine-verified scoreboard accompanying the Banker 6 vs. Player third-card 6 (DRAW) cell.

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

This bead is at Row 4. Column 1 stopped at Row 1, more than one row above → red (=).

  1. Column 2 goes down to Row 4, so use Rule 2: look 1 column back, at Column 1.
  2. Column 1 stopped at Row 1, 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.

Small Road Mark #3

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Cockroach Pig Mark #3

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Tableau Lookup BANKER_TABLEAU[6][6]
true (Banker Draws 6th Card)

Verified directly against packages/core/lib/baccarat/handResolution.ts.

Total Cards Dealt in [B=6, P3=6]
6 Cards (Big Hand)

Player holds 3 cards and Banker holds 3 cards.

Possible Player 3-Card Totals When P3=6
6, 7, 8, 9, 0, 1

Resulting modulo-10 Player totals when adding 6 to legal drawing totals 0–5.

Standing Banker 6 vs Player Totals (P3=6)
2 Wins / 1 Ties / 3 Losses

How a standing Banker 6 compares against the 6 possible Player 3-card totals when P3=6.

Sample Verified Deal ([B=6, P3=6])
P: 10+A+6 vs B: 3+3+2

Confirmed via resolveHand() with sample sixth card 2 (4B/1P/1T across the 6 Player starts).

COMBINATORIAL PROOF FOR [B=6, P3=6]

Why the Tableau Orders Banker 6 to Draw Against a Player Third-Card 6

Banker 6 stands on almost everything, EXCEPT when the Player draws a 6 or 7. Here the Player drew a 6, so Banker 6 MUST DRAW.

When the Player draws a 6 onto an initial 0, 1, 2, or 3, the Player reaches 6, 7, 8, or 9. Because three of those four totals beat a standing 6 and the fourth ties it, Banker 6 draws a sixth card.

For Banker 6 facing Player's third card 6 (6), combining 6 with the 6 legal Player starts (0..5) yields the specific Player 3-card sequence [0+6→6; 1+6→7; 2+6→8; 3+6→9; 4+6→0; 5+6→1], against which Banker 6 (3+3) tallies 2 standing wins, 1 pushes, and 3 deficits.

All 6 Real Player Starting Totals (0–5) When Player Draws 6 Against Banker 6
Player 2-Card StartPlayer Draws 6 (Value 6)Banker 6 Tableau RuleHand SizeSample Outcome (Banker Draw = 2)
Player starts at 0 (10+K)Draws 6 (val 6) → Player 3-card total 6Banker 6 DRAWS (e.g. +2 → 8)6 cards dealtBanker wins (8 vs 6)
Player starts at 1 (10+A)Draws 6 (val 6) → Player 3-card total 7Banker 6 DRAWS (e.g. +2 → 8)6 cards dealtBanker wins (8 vs 7)
Player starts at 2 (A+A)Draws 6 (val 6) → Player 3-card total 8Banker 6 DRAWS (e.g. +2 → 8)6 cards dealtTie at 8
Player starts at 3 (A+2)Draws 6 (val 6) → Player 3-card total 9Banker 6 DRAWS (e.g. +2 → 8)6 cards dealtPlayer wins (9 vs 8)
Player starts at 4 (2+2)Draws 6 (val 6) → Player 3-card total 0Banker 6 DRAWS (e.g. +2 → 8)6 cards dealtBanker wins (8 vs 0)
Player starts at 5 (2+3)Draws 6 (val 6) → Player 3-card total 1Banker 6 DRAWS (e.g. +2 → 8)6 cards dealtBanker wins (8 vs 1)
  • [6 vs 6] Check A: No Natural 8/9 appeared on the initial 4 cards (10+A vs 3+3).
  • [6 vs 6] Check B: Player drew 6 (value 6) as the 5th card of the hand.
  • [6 vs 6] Check C: BANKER_TABLEAU[6][6] = true → Banker 6 draws 6th card (2).
DEALER EXECUTION & SIDE-BET IMPACT [B=6, P3=6]

How [Banker 6, Player 3rd Card 6] Affects Side Bets and Road Tracking

In the [6 vs 6] draw branch (3+3 drawing against Player's 6), a 6th card is dealt from the shoe: catching a 1 forms a 3-card Banker 7 (Dragon 7), whereas catching a 0 forms a 3-card Banker 6 (Super 6).

Testing [6 vs 6] with sixth-card 2 across all 6 Player starts yields 4B / 1P / 1T on shoe PBBBBPPBBPPP…

Table Reality Check

Myth vs. Truth

MythWhen Player draws a 6 to reach a three-card total of 8, the Banker looks at 8 to decide whether to draw on 6.
TruthThe dealer and the tableau never use the Player's three-card total (8)—the Banker 6 rule keys strictly off the third card's own value (6), which always triggers a draw.
MythA 6-card hand caused by Banker 6 vs Player third-card 6 changes the probabilities of the next hand's road pattern.
TruthDerived roads record whether Big Road column lengths repeat (Red =) or break (Blue ≠); they do not track whether a hand used 4, 5, or 6 cards and never predict the next hand.
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