ᱠᱚᱞ ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ ᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝ

ᱩᱱᱠᱩ ᱪᱮᱫᱟᱜ ᱵᱷᱮᱜᱟᱨ ᱧᱮᱞᱚᱜ-ᱟ

ᱥᱴᱨᱮᱴ ᱚᱯᱵᱟᱡᱤᱥᱴᱨᱮᱴ ᱚᱯᱢᱤᱫ ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 35:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱢᱤᱫ ᱜᱮ ᱨᱮᱡᱟᱞᱴ ᱵᱷᱩᱜᱛᱟᱱ ᱮᱢᱚᱜ-ᱟ᱾ ᱣᱟᱡᱟᱸ ᱫᱩ ᱡᱮᱨᱳFR · ᱥᱮᱠᱴᱚᱨᱣᱟᱡᱟᱸ ᱫᱩ ᱡᱮᱨᱳ“ᱡᱤᱨᱚ ᱨᱮᱭᱟᱜ ᱯᱟᱲᱚᱥᱤ”: ᱪᱟᱠᱟ ᱨᱮ 22 ᱠᱷᱚᱱ 25 ᱦᱟᱹᱵᱤᱡ ᱜᱮᱞᱮᱭᱟᱭ ᱮᱞ, ᱟᱨᱮ ᱪᱤᱯ ᱛᱮ ᱵᱟᱡᱤ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱯᱮ ᱵᱷᱮᱜᱟᱨ ᱵᱷᱩᱜᱛᱟᱱᱴᱟᱠᱟᱵᱷᱩᱜᱛᱟᱱᱡᱤᱛ ᱵᱟᱡᱤ ᱪᱮᱫ ᱨᱩᱣᱟᱹᱲᱟ, ᱨᱩᱣᱟᱹᱲ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱪᱮᱛᱟᱱ “X ᱨᱮ 1” ᱞᱮᱠᱟ ᱨᱚᱲᱚᱜ-ᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱢᱮᱱᱟᱜ-ᱟ, ᱵᱚᱞᱥᱟᱡ ᱥᱟᱢᱟᱱᱵᱚᱞᱨᱚᱴᱚᱨ ᱨᱮᱭᱟᱜ ᱩᱞᱴᱟᱹ ᱥᱮᱫ ᱴᱨᱮᱠ ᱨᱮ ᱜᱤᱰᱤ ᱦᱩᱰᱤᱧ ᱵᱚᱞ᱾ ᱱᱤᱛᱚᱜᱟᱜ ᱵᱚᱞ ᱫᱚ ᱟᱭᱣᱚᱨᱤᱱ ᱟᱨᱵᱟᱝ ᱴᱮᱯᱷᱞᱚᱱ ᱨᱮᱭᱟᱜ, 18–21 mm᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ ᱵᱟᱨ ᱵᱷᱟᱨ ᱟᱠᱟᱱ ᱥᱴᱨᱤᱴᱵᱟᱡᱤᱥᱴᱨᱤᱴᱞᱮᱭᱟᱣᱴ ᱨᱮᱭᱟᱜ ᱢᱤᱫ ᱯᱟᱹᱱᱛᱤ ᱨᱮ ᱯᱮ ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 11:1᱾ ᱯᱷᱨᱮᱧᱪ ᱨᱮ: ᱴᱨᱟᱸᱥᱣᱮᱨᱥᱟᱞ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →, ᱵᱟᱨ ᱵᱷᱟᱨ ᱟᱠᱟᱱ ᱠᱚᱨᱱᱟᱨᱵᱟᱡᱤᱠᱚᱨᱱᱟᱨᱞᱮᱭᱟᱣᱴ ᱨᱮ ᱢᱤᱫ ᱠᱚᱬᱟ ᱥᱟᱡᱷᱟ ᱟᱠᱟᱱ ᱯᱩᱱ ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 8:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱥᱮ ᱢᱤᱫ ᱥᱯᱞᱤᱴᱵᱟᱡᱤᱥᱯᱞᱤᱴᱵᱟᱨ ᱥᱟᱵᱟᱫ ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 17:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱥᱮᱴᱮᱨᱚᱜ-ᱟ ᱚᱱᱟ ᱞᱮᱠᱷᱟ ᱛᱮ᱾ ᱱᱚᱶᱟ ᱵᱷᱮᱜᱟᱨ ᱫᱚ ᱢᱤᱫ ᱛᱷᱤᱨ ᱡᱤᱱᱤᱥ ᱩᱠᱩᱭᱟ: ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ ᱡᱚᱛᱚ ᱪᱤᱯᱴᱟᱠᱟᱪᱤᱯᱛᱷᱤᱠ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ ᱪᱤᱱᱦᱟᱹ ᱴᱚᱠᱮᱱ, ᱵᱟᱡᱤ ᱞᱟᱹᱜᱤᱫ ᱞᱮᱭᱟᱣᱴ ᱨᱮ ᱫᱚᱦᱚᱜ-ᱟ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱪᱮᱠ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ ᱢᱤᱫ ᱥᱟᱫᱷᱟᱨᱚᱬ ᱵᱟᱡᱤ ᱠᱟᱱᱟ ᱡᱟᱦᱟᱸ ᱨᱮᱭᱟᱜ EV ᱫᱚ ᱟᱡ ᱨᱮᱭᱟᱜ −1/37, ᱟᱨ ᱥᱟᱱᱟᱢ ᱫᱚ ᱩᱱᱠᱩ ᱨᱮᱭᱟᱜ ᱡᱚᱛᱚ ᱠᱟᱱᱟ᱾

ᱣᱟᱡᱟᱸ ᱫᱩ ᱡᱮᱨᱳ (9 ᱪᱤᱯ, 17 ᱮᱞ)

0-2-3 ᱨᱮ 2 (ᱥᱴᱨᱤᱴ, 11 ᱵᱷᱩᱜᱛᱟᱱ), 25-26-28-29 ᱨᱮ 2 (ᱠᱚᱨᱱᱟᱨ, 8 ᱵᱷᱩᱜᱛᱟᱱ), ᱥᱯᱞᱤᱴ 4-7, 12-15, 18-21, 19-22, 32-35 ᱨᱮ 1 ᱜᱚᱴᱟ ᱞᱮᱠᱷᱟ ᱛᱮ (17 ᱵᱷᱩᱜᱛᱟᱱ)᱾ ᱥᱴᱨᱤᱴ ᱨᱮ ᱦᱤᱴ: +22 − 7 = +15᱾ ᱠᱚᱨᱱᱟᱨ ᱨᱮ ᱦᱤᱴ: +16 − 7 = +9᱾ ᱥᱯᱞᱤᱴ ᱨᱮ ᱦᱤᱴ: +17 − 8 = +9᱾ ᱵᱟᱝ ᱦᱤᱴ: −9᱾ EV = (3 × 15 + 4 × 9 + 10 × 9 − 20 × 9)/37 = (45 + 36 + 90 − 180)/37 = −9/37᱾ ᱟᱨᱮ ᱪᱤᱯ, −9/37: ᱢᱤᱫ ᱪᱤᱯ ᱨᱮ −1/37᱾

ᱛᱤᱭᱮᱨ ᱫᱩ ᱥᱤᱞᱮᱸᱫᱽᱨ (6 ᱪᱤᱯ, 12 ᱮᱞ)

ᱛᱩᱨᱩᱭ ᱥᱯᱞᱤᱴ, ᱡᱚᱛᱚ ᱨᱮ 17 ᱵᱷᱩᱜᱛᱟᱱ᱾ ᱡᱟᱦᱟᱱᱟᱜ ᱦᱤᱴ: +17 − 5 = +12᱾ ᱵᱟᱝ ᱦᱤᱴ: −6᱾ EV = (12 × 12 − 25 × 6)/37 = (144 − 150)/37 = −6/37᱾ ᱥᱟᱱᱟᱢ ᱠᱷᱚᱱ ᱥᱚᱢᱟᱱ ᱠᱚᱞ ᱵᱟᱡᱤᱴᱮᱵᱩᱞᱠᱚᱞ ᱵᱟᱡᱤᱛᱤ ᱛᱮ ᱫᱚᱦᱚ ᱵᱚᱫᱚᱞ ᱰᱤᱞᱟᱨ ᱴᱷᱮᱱ ᱨᱚᱲ ᱠᱟᱛᱮ ᱞᱟᱜᱟᱣ ᱟᱠᱟᱱ ᱵᱟᱡᱤ, ᱟᱡᱟᱭ ᱛᱮ ᱣᱟᱡᱟᱸ ᱟᱨᱵᱟᱝ ᱛᱤᱭᱮᱨ ᱞᱮᱠᱟᱱ ᱪᱟᱠᱟ ᱥᱮᱠᱴᱚᱨ ᱵᱟᱡᱤ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ “ᱨᱚᱲ ᱵᱟᱡᱤ”᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →: ᱢᱤᱫ ᱵᱷᱩᱜᱛᱟᱱ, ᱢᱤᱫ ᱦᱟᱹᱱᱤ᱾

ᱚᱨᱯᱷᱮᱞᱟᱸ (5 ᱪᱤᱯ, 8 ᱮᱞ)

1 ᱨᱮ 1 ᱥᱴᱨᱮᱴ ᱚᱯ (35 ᱵᱷᱩᱜᱛᱟᱱ), ᱥᱯᱞᱤᱴ 6-9, 14-17, 17-20, 31-34 (17 ᱵᱷᱩᱜᱛᱟᱱ)᱾ 1 ᱨᱮ ᱦᱤᱴ: +35 − 4 = +31᱾ 17 ᱨᱮ ᱦᱤᱴ (ᱵᱟᱨ ᱥᱯᱞᱤᱴ): +34 − 3 = +31᱾ 6, 9, 14, 20, 31, 34 ᱨᱮ ᱦᱤᱴ: +17 − 4 = +13᱾ ᱵᱟᱝ ᱦᱤᱴ: −5᱾ EV = (31 + 31 + 6 × 13 − 29 × 5)/37 = (62 + 78 − 145)/37 = −5/37᱾

ᱯᱟᱲᱚᱥᱤ ᱟᱨ ᱡᱷᱳ ᱡᱮᱨᱳ

ᱯᱟᱲᱚᱥᱤᱵᱟᱡᱤᱯᱟᱲᱚᱥᱤᱪᱟᱠᱟ ᱨᱮ ᱢᱤᱫ ᱮᱞ ᱟᱨ ᱚᱱᱟ ᱨᱮᱭᱟᱜ ᱵᱟᱨᱭᱟ ᱥᱮᱫ ᱵᱟᱨ-ᱵᱟᱨ ᱠᱷᱟᱱᱟ, ᱢᱚᱬᱮ ᱥᱴᱨᱮᱴ ᱚᱯ ᱪᱤᱯ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →: ᱢᱚᱬᱮ ᱥᱴᱨᱮᱴ ᱚᱯ; ᱡᱟᱦᱟᱱᱟᱜ ᱦᱤᱴ +35 − 4 = +31; EV = (5 × 31 − 32 × 5)/37 = (155 − 160)/37 = −5/37᱾ ᱡᱷᱳ ᱡᱮᱨᱳFR · ᱥᱮᱠᱴᱚᱨᱡᱷᱳ ᱡᱮᱨᱳ“ᱡᱤᱨᱚ ᱠᱷᱮᱞ”: ᱡᱤᱨᱚ ᱨᱮᱭᱟᱜ ᱡᱚᱛᱚ ᱠᱷᱚᱱ ᱥᱟᱵᱟᱫ ᱮᱭᱟᱭ ᱮᱞ (12, 35, 3, 26, 0, 32, 15), ᱯᱩᱱ ᱪᱤᱯ ᱛᱮ ᱵᱟᱡᱤ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →: ᱥᱯᱞᱤᱴ 0-3, 12-15, 32-35 ᱟᱨ 26 ᱨᱮ ᱢᱤᱫ ᱥᱴᱨᱮᱴ ᱚᱯ; 26 ᱨᱮ ᱦᱤᱴ: +35 − 3 = +32; ᱥᱯᱞᱤᱴ ᱦᱤᱴ: +17 − 3 = +14; EV = (32 + 6 × 14 − 30 × 4)/37 = (32 + 84 − 120)/37 = −4/37᱾

ᱡᱷᱳ ᱡᱮᱨᱳ ᱨᱩᱞᱮᱴ ᱵᱟᱡᱤ

ᱤᱞᱮᱠᱴᱨᱚᱱᱤᱠ ᱪᱟᱠᱟ ᱨᱮ

IGT ᱨᱮᱭᱟᱜ Roulette Evolution, ᱵᱚᱞᱢᱟᱱ (Bollman) (2021) ᱡᱮᱞᱮᱠᱟ ᱮ ᱵᱚᱨᱱᱚᱱ ᱟᱠᱟᱫᱟ, ᱫᱚ ᱱᱚᱶᱟ ᱠᱚᱞ ᱵᱟᱡᱤ ᱠᱚ ᱢᱤᱫ ᱤᱞᱮᱠᱴᱨᱚᱱᱤᱠ ᱥᱤᱝᱜᱚᱞ ᱡᱤᱨᱚᱪᱟᱠᱟᱡᱤᱨᱚᱢᱤᱫᱜᱮ ᱦᱟᱹᱨᱭᱟᱹᱲ ᱠᱷᱟᱱᱟ ᱡᱟᱦᱟᱸ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ, ᱰᱚᱡᱮᱱ ᱟᱨᱵᱟᱝ ᱠᱚᱞᱚᱢ ᱵᱟᱡᱤ ᱵᱟᱭ ᱠᱚᱵᱷᱟᱨᱟ; ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤ ᱨᱮᱭᱟᱜ ᱢᱩᱞ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱥᱤᱝᱜᱚᱞ ᱡᱤᱨᱚ, 0᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱪᱟᱠᱟ ᱨᱮ ᱮᱢᱟ᱾ ᱦᱤᱥᱟᱹᱵ ᱫᱚ ᱵᱟᱝ ᱵᱚᱫᱚᱞᱚᱜ-ᱟ: ᱡᱚᱛᱚ ᱫᱚ ᱱᱤᱛ ᱦᱚᱸ ᱢᱤᱫ ᱪᱤᱯ ᱨᱮ −1/37᱾ ᱵᱚᱫᱚᱞᱚᱜ ᱫᱚ ᱥᱮᱠᱴᱚᱨᱪᱟᱠᱟᱥᱮᱠᱴᱚᱨᱪᱟᱠᱟ ᱨᱮ ᱛᱟᱭᱚᱢ ᱛᱟᱭᱚᱢ ᱠᱷᱟᱱᱟ ᱨᱮᱭᱟᱜ ᱢᱤᱫ ᱜᱩᱞᱟᱹᱭ ᱦᱟᱹᱴᱤᱧ, ᱞᱮᱭᱟᱣᱴ ᱨᱮᱭᱟᱜ ᱜᱩᱴᱤ ᱠᱷᱚᱱ ᱟᱞᱟᱜ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱵᱟᱡᱤ ᱞᱟᱹᱜᱤᱫ ᱠᱷᱮᱞᱚᱸᱰ ᱠᱚᱣᱟᱜ ᱢᱤᱫ ᱜᱮ ᱡᱩᱠᱛᱤ᱾ ᱥᱟᱹᱨᱤ ᱴᱮᱵᱩᱞ ᱨᱮ ᱠᱤᱪᱷᱩ ᱦᱚᱲ ᱵᱷᱟᱵᱱᱟ ᱠᱚ ᱡᱮ ᱩᱱᱠᱩ ᱫᱚ ᱰᱤᱞᱟᱨ ᱨᱮᱭᱟᱜ ᱟᱫᱚᱛ ᱟᱨ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮᱭᱟᱜ ᱞᱚᱜᱚᱱ ᱵᱮᱥ ᱞᱮᱠᱟ ᱯᱟᱲᱦᱟᱣ ᱫᱟᱲᱮᱭᱟᱜ-ᱟ ᱟᱨ ᱵᱚᱞ ᱚᱠᱟ ᱴᱚᱴᱷᱟ ᱨᱮ ᱧᱩᱛᱩᱢᱚᱜ-ᱟ ᱚᱱᱟ ᱟᱸᱫᱟᱡᱽ ᱫᱟᱲᱮᱭᱟᱜ-ᱟ, ᱱᱚᱶᱟ ᱫᱚ ᱪᱟᱠᱟ ᱠᱞᱚᱠᱤᱝ ᱢᱮᱱᱟᱜ-ᱟ, ᱟᱨ ᱢᱤᱫ ᱴᱚᱴᱷᱟ ᱨᱮ ᱵᱟᱡᱤ ᱞᱟᱹᱜᱤᱫ ᱠᱚᱞ ᱵᱟᱡᱤ ᱫᱚ ᱥᱚᱦᱚᱡ ᱦᱚᱨᱟ ᱠᱟᱱᱟ᱾ ᱤᱞᱮᱠᱴᱨᱚᱱᱤᱠ ᱪᱟᱠᱟ ᱨᱮ ᱯᱟᱲᱦᱟᱣ ᱞᱟᱹᱜᱤᱫ ᱰᱤᱞᱟᱨ ᱵᱟᱹᱱᱩᱜ-ᱟ, ᱟᱨ ᱥᱟᱹᱨᱤ ᱴᱮᱵᱩᱞ ᱨᱮ ᱦᱚᱸ ᱞᱟᱹᱠᱷᱤᱭᱟᱹ ᱚᱱᱟ ᱡᱩᱠᱛᱤ ᱫᱚ ᱵᱟᱹᱱᱩᱜ-ᱟ᱾

ᱤᱞᱮᱠᱴᱨᱚᱱᱤᱠ ᱨᱩᱞᱮᱴ ᱴᱟᱨᱢᱤᱱᱟᱞ

ᱥᱮᱪᱮᱫ

ᱠᱚᱞ ᱵᱟᱡᱤ ᱫᱚ ᱟᱨᱟᱢ ᱞᱟᱹᱜᱤᱫ, ᱜᱚᱱᱤᱛ ᱞᱟᱹᱜᱤᱫ ᱫᱚ ᱵᱟᱝ᱾ ᱪᱟᱠᱟ ᱨᱮᱭᱟᱜ ᱥᱮᱠᱴᱚᱨ ᱨᱮ ᱵᱟᱡᱤ ᱞᱟᱹᱜᱤᱫ ᱱᱚᱶᱟ ᱫᱚ ᱥᱟᱱᱟᱢ ᱠᱷᱚᱱ ᱞᱚᱜᱚᱱ ᱦᱚᱨᱟ, ᱟᱨ ᱢᱤᱫ ᱨᱚᱲ ᱛᱮ ᱵᱟᱡᱤ ᱞᱟᱹᱜᱤᱫ ᱢᱤᱫ ᱜᱮ ᱦᱚᱨᱟ᱾ ᱩᱱᱠᱩ ᱨᱮᱭᱟᱜ ᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝᱜᱚᱱᱤᱛᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝᱡᱮᱞᱮᱧ ᱚᱠᱛᱚ ᱨᱮ ᱢᱤᱫ ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ ᱟᱣᱥᱚᱛ ᱨᱮᱡᱟᱞᱴ᱾ ᱡᱚᱛᱚ ᱥᱟᱫᱷᱟᱨᱚᱱ ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱵᱟᱡᱤ ᱨᱮ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ −1/37᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ ᱢᱤᱫ ᱪᱤᱯ ᱨᱮ ᱥᱟᱱᱟᱢ ᱠᱷᱚᱱ ᱥᱚᱦᱚᱡ ᱥᱴᱨᱮᱴ ᱚᱯ ᱞᱮᱠᱟ ᱜᱮ, ᱟᱨ ᱵᱷᱩᱜᱛᱟᱱ ᱨᱮᱭᱟᱜ ᱵᱷᱮᱜᱟᱨ ᱫᱚ ᱦᱤᱥᱟᱹᱵ ᱠᱤᱛᱟᱹᱵ ᱜᱮ ᱠᱟᱱᱟ, ᱵᱟᱲᱛᱤ ᱫᱚ ᱵᱟᱝ᱾

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