ᱨᱩᱞᱮᱴ ᱰᱚᱡᱮᱱ ᱥᱴᱨᱮᱴᱮᱡᱤ ᱟᱨ ᱠᱚᱞᱚᱢ
ᱨᱩᱞᱮᱴ ᱰᱚᱡᱮᱱ ᱥᱴᱨᱮᱴᱮᱡᱤ ᱫᱚ ᱢᱤᱫ ᱫᱷᱟᱣ ᱨᱮ ᱵᱟᱨ ᱰᱚᱡᱮᱱ ᱥᱮ ᱵᱟᱨ ᱠᱚᱞᱚᱢ ᱨᱮ ᱵᱟᱡᱤ ᱞᱟᱜᱟᱣ ᱮᱫᱟ, 37 ᱠᱷᱚᱱ 24 ᱮᱞ ᱛᱚᱯᱟ ᱠᱟᱛᱮ᱾
64.9% ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱥᱩᱫᱽ +1 ᱭᱩᱱᱤᱴ ᱡᱤᱛ; ᱵᱟᱠᱤ 35.1% ᱨᱮ 2 ᱭᱩᱱᱤᱴ ᱦᱟᱹᱱᱤ᱾ ᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝᱜᱚᱱᱤᱛᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝᱡᱮᱞᱮᱧ ᱚᱠᱛᱚ ᱨᱮ ᱢᱤᱫ ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ ᱟᱣᱥᱚᱛ ᱨᱮᱡᱟᱞᱴ᱾ ᱡᱚᱛᱚ ᱥᱟᱫᱷᱟᱨᱚᱱ ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱵᱟᱡᱤ ᱨᱮ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ −1/37᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →: ᱞᱟᱜᱟᱣ ᱟᱠᱟᱱ ᱵᱟᱨ ᱭᱩᱱᱤᱴ ᱨᱮᱭᱟᱜ −2.70%᱾
ᱵᱟᱨ-ᱰᱚᱡᱮᱱ ᱨᱩᱞᱮᱴ ᱥᱴᱨᱮᱴᱮᱡᱤ ᱨᱮᱭᱟᱜ ᱦᱤᱥᱟᱹᱵ
ᱵᱟᱨ ᱰᱚᱡᱮᱱᱵᱟᱡᱤᱰᱚᱡᱮᱱ1–12, 13–24 ᱟᱨᱵᱟᱝ 25–36, ᱵᱷᱩᱜᱛᱟᱱ 2:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱢᱤᱫ ᱢᱤᱫ ᱭᱩᱱᱤᱴᱴᱟᱠᱟᱭᱩᱱᱤᱴᱢᱤᱫ ᱥᱤᱥᱴᱮᱢ ᱟᱨᱵᱟᱝ ᱠᱷᱮᱞᱚᱸᱰ ᱵᱮᱵᱷᱟᱨ ᱵᱮᱥ ᱵᱟᱡᱤ ᱴᱟᱠᱟ᱾ ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱ ᱠᱚ ᱭᱩᱱᱤᱴ ᱛᱮ ᱵᱩᱡᱷᱟᱹᱣᱚᱜ-ᱟ ᱡᱮᱢᱚᱱ ᱡᱟᱦᱟᱸᱱ ᱴᱮᱵᱩᱞ ᱨᱮ ᱞᱟᱹᱜᱩ ᱦᱩᱭᱩᱜ-ᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →᱾ ᱡᱟᱦᱟᱸ ᱢᱤᱫ ᱨᱮ ᱦᱤᱴ ᱞᱮᱠᱷᱟᱱ 2 ᱮᱢ ᱮᱫᱟ ᱟᱨ ᱮᱴᱟᱜ ᱦᱟᱹᱱᱤᱚᱜ-ᱟ: +1᱾ ᱵᱷᱮᱜᱟᱨ ᱞᱮᱠᱷᱟᱱ (ᱯᱮ ᱮᱞ ᱰᱚᱡᱮᱱ ᱥᱮ ᱡᱤᱨᱚᱪᱟᱠᱟᱡᱤᱨᱚᱢᱤᱫᱜᱮ ᱦᱟᱹᱨᱭᱟᱹᱲ ᱠᱷᱟᱱᱟ ᱡᱟᱦᱟᱸ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ, ᱰᱚᱡᱮᱱ ᱟᱨᱵᱟᱝ ᱠᱚᱞᱚᱢ ᱵᱟᱡᱤ ᱵᱟᱭ ᱠᱚᱵᱷᱟᱨᱟ; ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤ ᱨᱮᱭᱟᱜ ᱢᱩᱞ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱥᱤᱝᱜᱚᱞ ᱡᱤᱨᱚ, 0᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →) ᱵᱟᱨᱭᱟ ᱦᱟᱹᱱᱤᱚᱜ-ᱟ: −2᱾ (24 × 1 − 13 × 2)/37 = (24 − 26)/37 = −2/37 ᱵᱟᱨ ᱭᱩᱱᱤᱴ ᱵᱟᱡᱤ ᱨᱮ = −1/37 ᱢᱤᱫ ᱭᱩᱱᱤᱴ ᱨᱮ᱾ ᱮᱴᱟᱜ ᱡᱚᱛᱚ ᱞᱮᱠᱟ ᱚᱱᱟ ᱜᱮ ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤ, ᱫᱷᱟᱸᱪᱟ ᱫᱚ ᱵᱷᱮᱜᱟᱨ: ᱯᱮ ᱨᱮ ᱡᱚᱦᱚᱢ ᱵᱟᱨ ᱡᱤᱛ, ᱡᱚᱛᱚ ᱡᱤᱛ ᱫᱚ ᱢᱤᱫ ᱦᱟᱹᱱᱤ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮᱭᱟᱜ ᱟᱫᱷᱟ᱾
ᱱᱚᱶᱟ ᱪᱮᱫᱟᱜ ᱡᱤᱛ ᱞᱮᱠᱟ ᱟᱹᱭᱩᱨᱚᱜ-ᱟ
65% ᱜᱷᱩᱨᱟᱹᱣ ᱡᱤᱛ ᱫᱚ 25-ᱮᱞ ᱡᱮᱢᱥ ᱵᱚᱸᱰ ᱥᱯᱨᱮᱰ ᱵᱟᱹᱲᱛᱤ ᱥᱟᱫᱷᱟᱨᱚᱬ ᱵᱟᱡᱤ ᱥᱟᱶ ᱧᱟᱢᱚᱜ ᱡᱟᱹᱥᱛᱤ ᱩᱥᱩᱞ ᱦᱤᱴ ᱦᱟᱨ ᱠᱟᱱᱟ᱾ ᱵᱟᱨ-ᱰᱚᱡᱮᱱ ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ ᱢᱤᱫ ᱥᱮᱥᱚᱱ ᱫᱚ ᱢᱤᱫ ᱡᱮᱞᱮᱧ ᱥᱚᱢᱟᱱ ᱨᱟᱹᱛᱤ ᱫᱟᱹᱛ ᱞᱮᱠᱟ ᱜᱮᱭᱟ: ᱢᱤᱫ ᱪᱮᱛᱟᱱ, ᱢᱤᱫ ᱪᱮᱛᱟᱱ, ᱵᱟᱨ ᱞᱟᱛᱟᱨ, ᱢᱤᱫ ᱪᱮᱛᱟᱱ᱾ ᱟᱣᱥᱚᱛ ᱥᱤᱨᱤᱡ ᱫᱚ ᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱦᱤᱥᱟᱹᱵᱴᱟᱠᱟᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱦᱤᱥᱟᱹᱵᱢᱤᱫ ᱥᱮᱥᱚᱱ ᱟᱨᱵᱟᱝ ᱚᱠᱛᱚ ᱨᱮ ᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱴᱟᱠᱟ, ᱫᱚᱦᱲᱟ ᱞᱟᱜᱟᱣ ᱡᱤᱛ ᱴᱟᱠᱟ ᱥᱮᱞᱮᱫ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱦᱮᱱᱰᱮᱞ, ᱮᱠᱥᱚᱱ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮᱭᱟᱜ −2.70% ᱠᱟᱱᱟ, ᱟᱨ ᱟᱯᱮ ᱢᱤᱫ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱵᱟᱨ ᱭᱩᱱᱤᱴ ᱞᱟᱜᱟᱣ ᱮᱫᱟ ᱯᱮ ᱚᱱᱟᱛᱮ ᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱦᱤᱥᱟᱹᱵ ᱫᱚ ᱢᱤᱫ ᱰᱚᱡᱮᱱ ᱛᱩᱞᱟᱹ ᱵᱟᱨ ᱜᱩᱱ ᱜᱮᱭᱟ᱾
- p10 −$500
- p25 −$500
- ᱢᱤᱰᱤᱭᱟᱱ −$360
- p75 +$0
- p90 +$280
ᱰᱚᱡᱮᱱ ᱨᱮ ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱ
ᱦᱟᱹᱱᱤ ᱛᱟᱭᱚᱢ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱵᱟᱨ ᱜᱩᱱ ᱫᱚ 2 ᱨᱮ 1 ᱵᱟᱡᱤ ᱨᱮ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ ᱞᱮᱠᱟ ᱵᱟᱝ ᱨᱩᱣᱟᱹᱲ ᱮᱫᱟ᱾ ᱢᱮᱱ ᱞᱮ ᱟᱯᱮ 2 ᱭᱩᱱᱤᱴ ᱦᱟᱹᱱᱤ ᱞᱮᱫᱟ ᱯᱮ (ᱡᱚᱛᱚ ᱰᱚᱡᱮᱱ ᱨᱮ ᱢᱤᱫ), 2 ᱟᱨ 2 ᱦᱟᱹᱵᱤᱡ ᱵᱟᱨ ᱜᱩᱱ ᱞᱮᱫᱟ ᱯᱮ, ᱟᱨ ᱡᱤᱛ ᱞᱮᱫᱟ ᱯᱮ: ᱟᱯᱮ 4 ᱦᱟᱛᱟᱣ ᱮᱫᱟ ᱯᱮ ᱟᱨ ᱮᱴᱟᱜ ᱰᱚᱡᱮᱱ ᱨᱮ 2 ᱦᱟᱹᱱᱤ ᱮᱫᱟ ᱯᱮ, ᱥᱩᱫᱽ +2, ᱡᱟᱦᱟᱸ ᱫᱚ ᱞᱟᱦᱟ ᱨᱮᱭᱟᱜ ᱦᱟᱹᱱᱤ ᱜᱮ ᱯᱩᱨᱟᱹᱣ ᱮᱫᱟ, ᱵᱟᱹᱲᱛᱤ ᱵᱟᱹᱱᱩᱜ-ᱟ᱾ ᱡᱚᱛᱚ ᱦᱟᱹᱱᱤ ᱛᱟᱭᱚᱢ ᱥᱩᱫᱽ +1 ᱞᱟᱹᱜᱤᱫ ᱵᱟᱨ ᱜᱩᱱ ᱠᱷᱚᱱ ᱵᱮᱥᱤ ᱞᱟᱹᱠᱛᱤᱭᱟ, ᱟᱨ ᱥᱟᱫᱷᱟᱨᱚᱬ ᱰᱚᱡᱮᱱ ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱᱥᱴᱨᱮᱴᱮᱡᱤᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱᱢᱟᱨᱮ ᱨᱮᱡᱟᱞᱴ ᱞᱮᱠᱟ ᱛᱮ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱵᱚᱫᱚᱞ ᱡᱟᱦᱟᱸᱱ ᱱᱤᱭᱚᱢ᱾ ᱱᱮᱜᱮᱴᱤᱵᱷ ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱ ᱦᱟᱨᱟᱣ ᱛᱟᱭᱚᱢ ᱵᱟᱲᱦᱟᱣᱟ, ᱯᱚᱡᱤᱴᱤᱵᱷ ᱡᱤᱛ ᱛᱟᱭᱚᱢ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ ᱯᱮ ᱜᱩᱱ ᱠᱟᱱᱟ: 1, 3, 9, 27, 81᱾ $5 ᱵᱮᱥ ᱠᱷᱚᱱ $500 ᱥᱤᱢᱟᱹ ᱫᱚ ᱢᱚᱬᱮ ᱦᱟᱹᱱᱤ ᱛᱟᱭᱚᱢ ᱥᱮᱴᱮᱨᱚᱜ-ᱟ; ᱢᱤᱫ ᱪᱮᱥᱴᱟ ᱨᱮ (13/37)⁵ ≈ 0.5%, ᱟᱨ ᱢᱤᱫ ᱥᱮᱥᱚᱱ ᱨᱮ ᱟᱹᱰᱤ ᱪᱮᱥᱴᱟ ᱢᱮᱱᱟᱜ-ᱟ᱾
ᱜᱷᱩᱨᱟᱹᱣ ᱟᱨ “ᱜᱤᱛᱤᱡ” ᱰᱚᱡᱮᱱ
ᱟᱹᱰᱤ ᱟᱠᱨᱤᱧ ᱥᱤᱥᱴᱮᱢ ᱫᱚ ᱚᱠᱟ ᱰᱚᱡᱮᱱ ᱵᱟᱹᱜᱤ ᱦᱩᱭᱩᱜ-ᱟ ᱚᱱᱟ ᱜᱷᱩᱨᱟᱹᱣ ᱮᱫᱟ, ᱟᱡᱟᱜ ᱞᱮᱠᱟᱛᱮ ᱱᱤᱛᱚᱜ ᱦᱤᱴ ᱟᱠᱟᱱ ᱥᱮ ᱡᱮᱞᱮᱧ ᱚᱠᱛᱚ ᱦᱤᱴ ᱵᱟᱝ ᱦᱩᱭ ᱟᱠᱟᱱ ᱰᱚᱡᱮᱱ᱾ ᱜᱷᱩᱨᱟᱹᱣ ᱠᱚ ᱟᱡᱟᱫ ᱜᱮᱭᱟ, ᱚᱱᱟᱛᱮ ᱚᱠᱟ 13 ᱮᱞ ᱵᱟᱝ ᱛᱚᱯᱟ ᱦᱩᱭᱩᱜ-ᱟ ᱚᱱᱟ ᱵᱟᱪᱷᱟᱣ ᱨᱮᱭᱟᱜ ᱡᱟᱦᱟᱸᱱ ᱨᱮ ᱦᱚᱸ ᱚᱥᱚᱨ ᱵᱟᱹᱱᱩᱜ-ᱟ᱾ ᱥᱤᱥᱴᱮᱢ ᱠᱚ ᱫᱚ ᱟᱯᱱᱟᱨ ᱛᱟᱞᱟ ᱨᱮ ᱢᱤᱫ ᱜᱮᱭᱟ ᱟᱨ ᱵᱟᱝ ᱛᱚᱯᱟ ᱰᱚᱡᱮᱱ ᱥᱟᱹᱜᱩᱱ ᱛᱮ ᱵᱟᱪᱷᱟᱣ ᱥᱟᱶ ᱦᱚᱸ ᱢᱤᱫ ᱜᱮᱭᱟ᱾
ᱨᱩᱞᱮᱴ ᱠᱚᱞᱚᱢ ᱥᱴᱨᱮᱴᱮᱡᱤ
ᱪᱮᱛᱟᱱ ᱨᱮᱭᱟᱜ ᱡᱚᱛᱚ ᱵᱟᱨ ᱠᱚᱞᱚᱢᱵᱟᱡᱤᱠᱚᱞᱚᱢᱞᱮᱭᱟᱣᱴ ᱨᱮᱭᱟᱜ ᱢᱤᱫ ᱛᱷᱤᱨ ᱠᱚᱞᱚᱢ ᱨᱮ ᱜᱮᱞᱵᱟᱨ ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 2:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱦᱚᱸ ᱞᱟᱹᱜᱩᱜ-ᱟ, ᱡᱟᱦᱟᱸ ᱫᱚ 24 ᱮᱞ ᱛᱚᱯᱟ ᱮᱫᱟ, ᱥᱮ ᱢᱤᱫ ᱰᱚᱡᱮᱱ ᱟᱨ ᱢᱤᱫ ᱠᱚᱞᱚᱢ ᱨᱮ, ᱡᱟᱦᱟᱸ ᱫᱚ 20 ᱛᱚᱯᱟ ᱮᱫᱟ (ᱯᱩᱱ ᱮᱞ ᱵᱟᱨ ᱫᱷᱟᱣ ᱞᱮᱠᱷᱟᱚᱜ-ᱟ)᱾ ᱵᱟᱡᱤ ᱵᱮᱱᱟᱣᱤᱡ ᱦᱟᱹᱛᱤᱭᱟᱹᱨ ᱫᱚ ᱡᱟᱦᱟᱸᱱ ᱢᱤᱥᱟᱹᱣ ᱞᱟᱹᱜᱤᱫ ᱴᱷᱤᱠ ᱵᱟᱸᱴᱟᱣ ᱮᱢ ᱮᱫᱟ᱾
ᱢᱤᱫ ᱞᱟᱦᱟᱭ ᱵᱟᱨ ᱜᱩᱱ
ᱞᱟᱥ ᱵᱷᱮᱜᱟᱥ ᱨᱮ ᱟᱠᱨᱤᱧ ᱦᱩᱭ ᱢᱤᱫ ᱦᱩᱰᱤᱧ ᱯᱩᱛᱷᱤ, Famous Las Vegas Gambling Systems, ᱫᱚ ᱢᱤᱫ ᱠᱚᱞᱚᱢ ᱞᱟᱹᱜᱤᱫ ᱢᱤᱫ ᱥᱚᱢᱟᱱ ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱ ᱮᱢ ᱮᱫᱟ: 1 ᱭᱩᱱᱤᱴ ᱵᱟᱡᱤ, ᱦᱟᱹᱱᱤ ᱛᱟᱭᱚᱢ ᱟᱨᱦᱚᱸ 1, ᱟᱨ ᱞᱟᱜᱟᱛᱟᱨ ᱵᱟᱨ ᱦᱟᱹᱱᱤ ᱛᱟᱭᱚᱢ ᱜᱮ ᱵᱟᱨ ᱜᱩᱱ, ᱚᱱᱟᱛᱮ ᱵᱟᱡᱤ ᱴᱟᱠᱟ 1, 1, 2, 2, 4, 4, 8, 8 ᱞᱮᱠᱟᱛᱮ ᱪᱟᱞᱟᱜ-ᱟ (ᱵᱚᱞᱢᱟᱱ (Bollman), 2024)᱾ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱫᱚ ᱢᱟᱨᱴᱤᱝᱜᱮᱞᱥᱴᱨᱮᱴᱮᱡᱤᱢᱟᱨᱴᱤᱝᱜᱮᱞᱡᱚᱛᱚ ᱦᱟᱨᱟᱣ ᱛᱟᱭᱚᱢ ᱵᱟᱡᱤ ᱰᱚᱵᱚᱞ ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱ᱾ ᱱᱚᱶᱟ ᱪᱮᱫ ᱮ ᱠᱟᱹᱢᱤᱭᱟ ᱟᱨ ᱪᱮᱫ ᱵᱟᱭ ᱠᱟᱹᱢᱤᱭᱟ, ᱚᱱᱟ ᱥᱴᱨᱮᱴᱮᱡᱤ ᱦᱟᱹᱴᱤᱧ ᱨᱮ ᱧᱮᱞ ᱯᱮ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮᱭᱟᱜ ᱟᱫᱷᱟ ᱞᱚᱜᱚᱱ ᱵᱟᱲᱦᱟᱣᱚᱜ-ᱟ, ᱟᱨ ᱫᱟᱢ ᱫᱚ ᱱᱚᱶᱟ ᱠᱟᱱᱟ ᱡᱮ ᱡᱤᱛ ᱫᱚ ᱥᱟᱵᱟᱦ ᱦᱟᱹᱱᱤ ᱵᱟᱝ ᱯᱩᱨᱟᱹᱣ ᱮᱫᱟ: ᱡᱚᱲᱟ ᱨᱮᱭᱟᱜ ᱫᱚᱥᱟᱨ ᱵᱟᱡᱤ ᱨᱮ ᱡᱤᱛ ᱫᱚ ᱟᱯᱮ ᱵᱟᱨᱟᱵᱟᱨ ᱥᱮ ᱦᱟᱹᱱᱤ ᱨᱮ ᱫᱚᱦᱚ ᱫᱟᱲᱮᱭᱟᱜ-ᱟ᱾ ᱞᱟᱜᱟᱛᱟᱨ ᱜᱮᱞ ᱵᱷᱮᱜᱟᱨ ᱫᱚ 62 ᱭᱩᱱᱤᱴ ᱠᱷᱚᱨᱚᱪᱚᱜ-ᱟ ᱟᱨ 50 ᱪᱮᱥᱴᱟ ᱨᱮ ᱢᱤᱫ ᱫᱷᱟᱣ ᱞᱮᱠᱟ ᱦᱩᱭᱩᱜ-ᱟ, ᱪᱮᱫᱟᱜ ᱥᱮ ᱢᱤᱫ ᱠᱚᱞᱚᱢ ᱫᱚ 37 ᱨᱮ 25 ᱫᱷᱟᱣ ᱵᱷᱮᱜᱟᱨᱚᱜ-ᱟ᱾ ᱞᱟᱜᱟᱣ ᱟᱠᱟᱱ ᱡᱚᱛᱚ ᱭᱩᱱᱤᱴ ᱫᱚ ᱚᱱᱟ ᱜᱮ 2.70% ᱠᱷᱚᱨᱚᱪᱚᱜ-ᱟ᱾
ᱠᱩᱠᱞᱤ ᱠᱚ
ᱩᱥᱩᱞ ᱦᱤᱴ ᱦᱟᱨ, ᱢᱟᱨᱟᱝ ᱦᱟᱹᱱᱤ, ᱚᱱᱟ ᱜᱮ ᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝ᱾ ᱚᱱᱟ ᱜᱮ ᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱨᱮ ᱟᱨᱟᱜᱵᱟᱡᱤᱟᱨᱟᱜ18 ᱟᱨᱟᱜ ᱮᱞ ᱨᱮ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ᱾ ᱯᱷᱨᱮᱧᱪ ᱨᱮ: ᱨᱩᱡᱽ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱠᱚᱢ ᱣᱮᱨᱤᱭᱮᱱᱥᱜᱚᱱᱤᱛᱣᱮᱨᱤᱭᱮᱱᱥᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝ ᱜᱷᱮᱨᱟᱣ ᱨᱮᱡᱟᱞᱴ ᱛᱤᱱᱟᱹᱜ ᱯᱟᱥᱱᱟᱣᱚᱜ-ᱟ ᱚᱱᱟ ᱨᱮᱭᱟᱜ ᱥᱟᱯᱲᱟᱣ᱾ ᱥᱴᱨᱮᱴ ᱚᱯ ᱞᱟᱹᱜᱤᱫ ᱵᱟᱹᱲᱛᱤ, ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ ᱞᱟᱹᱜᱤᱫ ᱠᱚᱢ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱢᱮᱱᱟᱜ-ᱟ᱾
ᱡᱤᱨᱚ ᱨᱮ ᱢᱤᱫ ᱪᱤᱯᱴᱟᱠᱟᱪᱤᱯᱛᱷᱤᱠ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ ᱪᱤᱱᱦᱟᱹ ᱴᱚᱠᱮᱱ, ᱵᱟᱡᱤ ᱞᱟᱹᱜᱤᱫ ᱞᱮᱭᱟᱣᱴ ᱨᱮ ᱫᱚᱦᱚᱜ-ᱟ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱪᱮᱠ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱥᱮᱞᱮᱫ ᱯᱮ ᱟᱨ ᱟᱯᱮ 25 ᱮᱞ ᱛᱚᱯᱟ ᱮᱫᱟ ᱯᱮ; ᱮᱱᱠᱷᱟᱱ ᱡᱤᱨᱚ ᱫᱚ −2 ᱵᱚᱫᱚᱞ ᱨᱮ 35 − 2 = +33 ᱮᱢ ᱮᱫᱟ᱾ ᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝ ᱫᱚ ᱯᱮ ᱭᱩᱱᱤᱴ ᱨᱮ −3/37 ᱦᱩᱭᱩᱜ-ᱟ: ᱢᱤᱫ ᱭᱩᱱᱤᱴ ᱨᱮ ᱵᱟᱝ ᱵᱚᱫᱚᱞᱚᱜ-ᱟ᱾
ᱜᱚᱱᱤᱛ ᱥᱟᱶ ᱨᱟᱹᱥᱠᱟᱹ
ᱱᱚᱶᱟ ᱠᱚ ᱯᱩᱭᱞᱩ ᱟᱯᱮ ᱛᱮ ᱠᱩᱨᱩᱢᱩᱴᱩ ᱯᱮ᱾ ᱢᱤᱫ ᱢᱤᱫ ᱥᱚᱢᱟᱫᱷᱟᱱ ᱫᱚ ᱩᱠᱩ ᱢᱮᱱᱟᱜ-ᱟ; ᱛᱮᱭᱟᱨ ᱦᱩᱭ ᱠᱟᱛᱮ ᱡᱷᱤᱡᱽ ᱯᱮ᱾
ᱯᱩᱛᱷᱤᱭᱟᱹ ᱨᱮᱭᱟᱜ ᱠᱚᱞᱚᱢᱵᱟᱡᱤᱠᱚᱞᱚᱢᱞᱮᱭᱟᱣᱴ ᱨᱮᱭᱟᱜ ᱢᱤᱫ ᱛᱷᱤᱨ ᱠᱚᱞᱚᱢ ᱨᱮ ᱜᱮᱞᱵᱟᱨ ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 2:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱥᱤᱥᱴᱮᱢ ᱫᱚ 1, 1, 2, 2, 4, 4, 8, 8 ᱭᱩᱱᱤᱴᱴᱟᱠᱟᱭᱩᱱᱤᱴᱢᱤᱫ ᱥᱤᱥᱴᱮᱢ ᱟᱨᱵᱟᱝ ᱠᱷᱮᱞᱚᱸᱰ ᱵᱮᱵᱷᱟᱨ ᱵᱮᱥ ᱵᱟᱡᱤ ᱴᱟᱠᱟ᱾ ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱ ᱠᱚ ᱭᱩᱱᱤᱴ ᱛᱮ ᱵᱩᱡᱷᱟᱹᱣᱚᱜ-ᱟ ᱡᱮᱢᱚᱱ ᱡᱟᱦᱟᱸᱱ ᱴᱮᱵᱩᱞ ᱨᱮ ᱞᱟᱹᱜᱩ ᱦᱩᱭᱩᱜ-ᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱵᱟᱡᱤ ᱮ ᱞᱟᱜᱟᱣᱟ, ᱮᱠᱮᱞ ᱞᱟᱜᱟᱛᱟᱨ ᱵᱟᱨ ᱦᱟᱹᱱᱤ ᱛᱟᱭᱚᱢ ᱵᱟᱨ ᱫᱷᱟᱣ ᱠᱟᱛᱮ, ᱟᱨ ᱯᱟᱦᱤᱞ ᱡᱤᱛ ᱨᱮ ᱛᱤᱝᱜᱩᱜ-ᱟ᱾ ᱠᱚᱞᱚᱢ ᱫᱚ 2 ᱨᱮ 1 ᱵᱷᱩᱜᱛᱟᱱ ᱮᱢᱟ᱾ ᱡᱩᱫᱤ ᱯᱟᱦᱤᱞ ᱡᱤᱛ 1, 2, 3 … 8 ᱱᱚᱢᱵᱚᱨ ᱵᱟᱡᱤ ᱨᱮ ᱦᱤᱡᱩᱜ-ᱟ ᱠᱷᱟᱱ ᱟᱯᱮ ᱛᱤᱱᱟᱹᱜ ᱞᱟᱵᱷ ᱥᱮ ᱦᱟᱹᱱᱤ ᱨᱮ ᱢᱮᱱᱟᱜ-ᱟ ᱯᱮ?
ᱥᱚᱢᱟᱫᱷᱟᱱ ᱩᱫᱩᱜ
ᱛᱮᱞᱟ 1, 3, 5 ᱥᱮ 7 ᱱᱚᱢᱵᱚᱨ ᱵᱟᱡᱤ ᱨᱮ ᱡᱤᱛ ᱦᱩᱭ ᱠᱷᱟᱱ ᱟᱯᱮ 2 ᱭᱩᱱᱤᱴ ᱞᱟᱵᱷ ᱨᱮ ᱛᱟᱦᱮᱸᱭᱟ ᱯᱮ᱾ 2, 4, 6 ᱥᱮ 8 ᱱᱚᱢᱵᱚᱨ ᱵᱟᱡᱤ ᱨᱮ ᱡᱤᱛ ᱦᱩᱭ ᱠᱷᱟᱱ +1, 0, −2 ᱟᱨ −6 ᱭᱩᱱᱤᱴ: ᱥᱟᱫᱷᱟᱨᱚᱬ +2 ᱠᱷᱚᱱ ᱠᱚᱢ, ᱟᱨ 6 ᱱᱚᱢᱵᱚᱨ ᱵᱟᱡᱤ ᱠᱷᱚᱱ ᱦᱟᱹᱱᱤ ᱨᱮ᱾
s ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱨᱮ ᱡᱤᱛ 2s ᱮᱢᱟ; ᱚᱱᱟ ᱞᱟᱦᱟ ᱨᱮ ᱡᱟᱦᱟᱸ ᱦᱟᱨᱟᱣ ᱞᱮᱱᱟ ᱚᱱᱟ ᱤᱫᱤ ᱯᱮ᱾
ᱵᱟᱡᱤ 1 (ᱵᱟᱡᱤ ᱴᱟᱠᱟ 1): +2᱾ ᱵᱟᱡᱤ 2 (ᱵᱟᱡᱤ ᱴᱟᱠᱟ 1, ᱞᱟᱦᱟ ᱨᱮ 1 ᱦᱟᱨᱟᱣ): 2 − 1 = +1᱾ ᱵᱟᱡᱤ 3 (ᱵᱟᱡᱤ ᱴᱟᱠᱟ 2, 2 ᱦᱟᱨᱟᱣ): 4 − 2 = +2᱾ ᱵᱟᱡᱤ 4 (ᱵᱟᱡᱤ ᱴᱟᱠᱟ 2, 4 ᱦᱟᱨᱟᱣ): 4 − 4 = 0᱾ ᱵᱟᱡᱤ 5 (ᱵᱟᱡᱤ ᱴᱟᱠᱟ 4, 6 ᱦᱟᱨᱟᱣ): 8 − 6 = +2᱾ ᱵᱟᱡᱤ 6 (ᱵᱟᱡᱤ ᱴᱟᱠᱟ 4, 10 ᱦᱟᱨᱟᱣ): 8 − 10 = −2᱾ ᱵᱟᱡᱤ 7 (ᱵᱟᱡᱤ ᱴᱟᱠᱟ 8, 14 ᱦᱟᱨᱟᱣ): 16 − 14 = +2᱾ ᱵᱟᱡᱤ 8 (ᱵᱟᱡᱤ ᱴᱟᱠᱟ 8, 22 ᱦᱟᱨᱟᱣ): 16 − 22 = −6᱾
ᱡᱚᱛᱚ ᱡᱳᱲᱟ ᱨᱮᱭᱟᱜ ᱯᱟᱦᱤᱞ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱡᱚᱛᱚ ᱚᱠᱛᱚ ᱥᱩᱫᱽ +2 ᱮᱢᱟ; ᱫᱚᱥᱟᱨ ᱫᱚ +1, 0, −2, −6, −14 ᱟᱨ ᱚᱱᱟ ᱞᱮᱠᱟ, ᱡᱚᱛᱚ ᱫᱷᱟᱣ ᱟᱨᱦᱚᱸ ᱵᱟᱹᱲᱤᱡ᱾ ᱚᱱᱟ ᱜᱮ ᱞᱟᱦᱟᱭ ᱪᱮᱛᱟᱱ ᱫᱮᱪ ᱨᱮᱭᱟᱜ ᱜᱚᱱᱚᱝ᱾ ᱠᱚᱞᱚᱢ 37 ᱨᱮ 25 ᱫᱷᱟᱣ ᱵᱟᱝ ᱦᱤᱴ ᱦᱩᱭᱩᱜ-ᱟ, ᱚᱱᱟᱛᱮ ᱞᱟᱜᱟᱛᱟᱨ ᱜᱮᱞ ᱵᱟᱝ ᱦᱤᱴ, 62 ᱭᱩᱱᱤᱴ ᱦᱟᱹᱱᱤ, ᱡᱟᱦᱟᱱ 50 ᱠᱩᱨᱩᱢᱩᱴᱩ ᱨᱮ ᱢᱤᱫ ᱫᱷᱟᱣ ᱦᱤᱡᱩᱜ-ᱟ᱾
ᱞᱟᱸᱫᱟ ᱞᱟᱹᱜᱤᱫ ᱠᱚᱢᱤᱠ
ᱵᱟᱨ ᱰᱚᱡᱮᱱ: 2.70% ᱠᱷᱚᱨᱚᱪ ᱥᱟᱶ 65% ᱦᱤᱴ ᱦᱟᱨ᱾
ᱯᱷᱮᱰᱟᱛ
- RouletteDoc. Roulette strategies overview.
- Roulette77. Roulette strategies overview.
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Bollman, M. Basic Gambling Mathematics: The Numbers Behind the Neon, 2nd ed.