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TABLEAU CELL [B2T8] · ENGINE VERIFIED

Banker 2 vs. Player Third Card 8 (B2T8): Why Banker Always Draws

In cell B2T8, a Banker holding two-card total 2 (10+2) faces a Player fifth card valued at 8 (8). Under BANKER_TABLEAU[2][8], the Banker DRAWS, resolving in 6 cards with a 31B / 23P / 6T split across the 60 (P0..P5 × 6th-card 0..9) branches.

Cell B2T8 Action
DRAW
B2T8 Card Count
6 Cards
B2T8 60-Branch B/P/T
31/23/6
Tableau Coordinates
B=2, P3=8
Engine-Verified Scoreboard · 34 Hands

Read the Board at Table Speed

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

Verified scoreboard paired with tableau cell B2T8 (Banker 2 vs Player 3rd card 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

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

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

Cell B2T8 Tableau Lookup
true (Mandatory 6th Card)

Verified via bankerShouldDraw(2, 8) === true on pair 10+2.

Cell B2T8 60-Branch Matrix Split
31 Banker / 23 Player / 6 Tie

Exact resolution across 6 legal Player starts (0–5) × 10 sixth-card values (0–9).

Cell B2T8 Resulting Player Totals
0+8=8, 1+8=9, 2+8=0, 3+8=1, 4+8=2, 5+8=3

Three-card Player totals produced when fifth card 8 (8) lands on P0..P5.

Cell B2T8 Standing Comparison
2W / 1T / 3L

How standing Banker 2 fares against the 6 Player 3-card totals for P3=8.

Cell B2T8 Sample Audition Hand
B(10+2=2) vs P3=8(8) -> DRAW

Sample sixth card 5 (5) verified through resolveHand().

COMBINATORIAL PROOF · CELL B2T8

Cell B2T8 Analysis: Banker 2 (10+2) Facing Fifth-Card 8 (Value 8)

Under [B2T8], Banker holds two-card total 2 (10+2) while Player draws fifth-card 8 (point value 8) onto an initial 0–5 total. Across those six legal Player starts, [B2T8] produces three-card Player totals of P0+8->8, P1+8->9, P2+8->0, P3+8->1, P4+8->2, P5+8->3.

Because [B2T8] sits inside the active draw window for Banker 2, the dealer deals a sixth card to 10+2: across all 60 (P0..P5 × sixth-card 0..9) combinations in [B2T8], Banker captures 31 wins, Player captures 23 wins, and 6 branches tie.

Cell B2T8 Resolution Across All 6 Legal Player Starts (0–5) with Fifth Card 8 (8)
B2T8 Player StartB2T8 5th CardB2T8 Banker 2 ActionB2T8 10-Card SplitB2T8 Sample Result
[B2T8:P0] 10+K=0[B2T8:5th] +8(8) -> P=8[B2T8:6th] B=2 draws (+5->7)[B2T8:Split] 1B/8P/1T[B2T8:Cards] 6c (P)
[B2T8:P1] 7+4=1[B2T8:5th] +8(8) -> P=9[B2T8:6th] B=2 draws (+5->7)[B2T8:Split] 0B/9P/1T[B2T8:Cards] 6c (P)
[B2T8:P2] 10+2=2[B2T8:5th] +8(8) -> P=0[B2T8:6th] B=2 draws (+5->7)[B2T8:Split] 9B/0P/1T[B2T8:Cards] 6c (B)
[B2T8:P3] 9+4=3[B2T8:5th] +8(8) -> P=1[B2T8:6th] B=2 draws (+5->7)[B2T8:Split] 8B/1P/1T[B2T8:Cards] 6c (B)
[B2T8:P4] 2+2=4[B2T8:5th] +8(8) -> P=2[B2T8:6th] B=2 draws (+5->7)[B2T8:Split] 7B/2P/1T[B2T8:Cards] 6c (B)
[B2T8:P5] A+4=5[B2T8:5th] +8(8) -> P=3[B2T8:6th] B=2 draws (+5->7)[B2T8:Split] 6B/3P/1T[B2T8:Cards] 6c (B)
  • [B2T8-Step1] Verify neither side opened with 8 or 9 before evaluating Banker 2 (10+2).
  • [B2T8-Step2] Confirm Player drew fifth-card 8 (value 8) onto a 0–5 start.
  • [B2T8-Step3] Execute BANKER_TABLEAU[2][8] = true (DRAW at 6 cards).
FLOOR PROCEDURE & SIDE BETS · B2T8

How Cell B2T8 Governs Dragon 7, Panda 8, and Scoreboard Tracking

In 6-card cell [B2T8], Banker 2 (10+2) can reach a 3-card 7 (Dragon 7) by drawing rank 5 or a 3-card 6 (Super 6) by drawing rank 4 after Player's 8.

Once [B2T8] resolves (31B/23P/6T across 60 branches), the winning side logs to the Big Road on shoe PBBBBPBPBB.

Table Reality Check

Myth vs. Truth

MythIn cell B2T8, the dealer checks the Player's 3-card sum (1) before acting on Banker 2.
TruthCell B2T8 inspects only the fifth card's face value (8 from 8), ordering Banker 2 to draws.
MythWinning cell B2T8 guarantees a Red mark on Big Eye Boy and Small Road.
TruthOn derived roads, Red (=) means the Big Road column pattern repeated and Blue (≠) means it broke—never Banker vs Player.
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