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NON-NATURAL MATCHUP [M6V2] · 100-BRANCH MATRIX

Player Starts 6 vs. Banker Starts 2 (M6V2): 100-Branch Resolution Matrix

When Player opens at 6 (3+3) and Banker opens at 2 (8+4) in matchup M6V2, neither side holds a Natural. Evaluating all 100 (fifth-card 0..9 × sixth-card 0..9) branches through resolveHand() yields 30 Banker wins, 60 Player wins, and 10 ties (0 four-card, 100 five-card, and 0 six-card branches).

Matchup M6V2 Start
P=6 vs B=2
M6V2 100-Branch Split
30B/60P/10T
M6V2 4c/5c/6c Branches
0/100/0
M6V2 Step 2 Action
P Stands
Engine-Verified Scoreboard · 34 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with the 100-branch matchup matrix M6V2 (Player 6 vs Banker 2).

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 2 has 3 beads. Column 1 has 3 beads. Same depth → red (=).

  1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back.
  2. Column 2 has 3 beads. Column 1 has 3 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

This bead is at Row 4. Column 1 stopped at Row 3, one row above → blue (≠).

  1. Column 3 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 3, one row above → blue (≠).

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.

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

Matchup M6V2 Initial Deal
Player 3+3=6 vs Banker 8+4=2

Non-natural 4-card opening verified via playerShouldDraw(6)=false.

M6V2 100-Branch Outcome Split
30 Banker / 60 Player / 10 Tie

Exact enumeration across all 100 (fifthCard 0..9 × sixthCard 0..9) value pairs.

M6V2 Card-Count Distribution
0 (4-card) / 100 (5-card) / 0 (6-card)

Branch counts by total cards dealt in matchup M6V2.

M6V2 Player Action Rule
Stands Pat on 2-Card 6

Determines whether Banker 2 uses BANKER_TABLEAU[2][p3] or the null-stand rule.

M6V2 Banker Action Rule
Always Draws 5th Card on 2

Exact Banker response profile in matchup M6V2.

EXACT 100-BRANCH ENUMERATION · M6V2

How Matchup M6V2 (Player 6 vs. Banker 2) Resolves Across Fifth & Sixth Cards

In matchup [M6V2], Player starts with 3+3=6 against Banker 8+4=2. Because P=6 stands on 6–7 while B=2 is in 0–5, Player takes no third card and Banker 2 draws the fifth card to finish in 5 cards.

Summing all 100 (fifth 0..9 × sixth 0..9) branches for [M6V2] produces 30 Banker wins, 60 Player wins, and 10 ties across 0 four-card, 100 five-card, and 0 six-card outcomes.

Matchup M6V2 100-Branch Breakdown by Fifth Card Value (0–9)
M6V2 5th CardM6V2 Player PathM6V2 Banker PathM6V2 10-Branch B/P/TM6V2 Hand Size
[M6V2:5th=0] 10(0)[M6V2:PPat] P stands at 6[M6V2:B5th] B:2+0->2[M6V2:Split] 0B/10P/0T[M6V2:Size] 5 cards
[M6V2:5th=1] A(1)[M6V2:PPat] P stands at 6[M6V2:B5th] B:2+1->3[M6V2:Split] 0B/10P/0T[M6V2:Size] 5 cards
[M6V2:5th=2] 2(2)[M6V2:PPat] P stands at 6[M6V2:B5th] B:2+2->4[M6V2:Split] 0B/10P/0T[M6V2:Size] 5 cards
[M6V2:5th=3] 3(3)[M6V2:PPat] P stands at 6[M6V2:B5th] B:2+3->5[M6V2:Split] 0B/10P/0T[M6V2:Size] 5 cards
[M6V2:5th=4] 4(4)[M6V2:PPat] P stands at 6[M6V2:B5th] B:2+4->6[M6V2:Split] 0B/0P/10T[M6V2:Size] 5 cards
[M6V2:5th=5] 5(5)[M6V2:PPat] P stands at 6[M6V2:B5th] B:2+5->7[M6V2:Split] 10B/0P/0T[M6V2:Size] 5 cards
[M6V2:5th=6] 6(6)[M6V2:PPat] P stands at 6[M6V2:B5th] B:2+6->8[M6V2:Split] 10B/0P/0T[M6V2:Size] 5 cards
[M6V2:5th=7] 7(7)[M6V2:PPat] P stands at 6[M6V2:B5th] B:2+7->9[M6V2:Split] 10B/0P/0T[M6V2:Size] 5 cards
[M6V2:5th=8] 8(8)[M6V2:PPat] P stands at 6[M6V2:B5th] B:2+8->0[M6V2:Split] 0B/10P/0T[M6V2:Size] 5 cards
[M6V2:5th=9] 9(9)[M6V2:PPat] P stands at 6[M6V2:B5th] B:2+9->1[M6V2:Split] 0B/10P/0T[M6V2:Size] 5 cards
  • [M6V2-Rule1] Verify non-natural opening: P(3+3)=6 vs B(8+4)=2.
  • [M6V2-Rule2] Apply Player 6–7 stand rule first, then Banker 2 response.
  • [M6V2-Rule3] Audit 30B/60P/10T matrix total and record onto shoe BBBPPPBBB.
Table Reality Check

Myth vs. Truth

MythWhen Player starts with 6 against Banker 2 (M6V2), the higher two-card start always wins most branches.
TruthIn [M6V2], third-card draw rules shift the 100-branch total to 30B / 60P / 10T.
MythA 4-or-5-card finish in M6V2 forces a Blue break mark on Small Road.
TruthSmall Road compares Big Road column depths two columns back; card count in M6V2 never affects derived road color.
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