ᱨᱩᱞᱮᱴ ᱥᱯᱨᱮᱰ ᱵᱟᱡᱤ ᱟᱨ ᱦᱮᱡᱤᱝ
ᱟᱡ ᱛᱮ ᱟᱡ ᱵᱤᱨᱩᱫᱷ ᱵᱟᱡᱤ ᱞᱟᱜᱟᱣ ᱠᱟᱛᱮ ᱚᱨᱡᱚ “ᱥᱟᱯᱲᱟᱣ” ᱫᱚ ᱨᱟᱠᱷᱟ ᱞᱮᱠᱟ ᱵᱩᱡᱷᱟᱹᱣᱚᱜ-ᱟ᱾ ᱱᱚᱶᱟ ᱫᱚ ᱩᱱᱤ 2.70% ᱜᱮ ᱠᱟᱱᱟ, ᱢᱮᱱᱠᱷᱟᱱ ᱵᱮᱥᱤ ᱪᱤᱯ ᱨᱮ ᱮᱢᱚᱜ-ᱟ᱾

ᱟᱨᱟᱜ ᱥᱟᱶ ᱯᱮᱭᱟ ᱠᱚᱞᱚᱢ, ᱵᱟᱨ ᱰᱚᱡᱮᱱ ᱥᱟᱶ ᱡᱤᱨᱚ, ᱥᱮ ᱟᱨᱟᱜ ᱥᱟᱶ ᱦᱮᱸᱫᱮ ᱞᱮᱠᱟᱱ ᱦᱮᱡᱤᱝ ᱫᱚ ᱢᱤᱫ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮᱭᱟᱜ ᱵᱟᱸᱴᱟᱣ ᱵᱚᱫᱚᱞᱟ, ᱢᱮᱱᱠᱷᱟᱱ ᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝ ᱫᱚ ᱛᱤᱥ ᱦᱚᱸ ᱵᱟᱝ᱾ ᱵᱮᱥᱤ ᱮᱞ ᱥᱟᱯᱲᱟᱣ ᱠᱷᱟᱱ ᱡᱤᱛ ᱟᱹᱰᱤ ᱦᱩᱭᱩᱜ-ᱟ ᱟᱨ ᱵᱷᱩᱜᱛᱟᱱ ᱴᱷᱤᱠ ᱩᱱᱤ ᱦᱤᱥᱟᱹᱵ ᱛᱮ ᱠᱚᱢᱚᱜ-ᱟ᱾
ᱨᱩᱞᱮᱴ ᱦᱮᱡᱤᱝ ᱥᱴᱨᱮᱴᱮᱡᱤ ᱨᱮᱭᱟᱜ ᱵᱩᱡᱷᱟᱹᱣ
ᱢᱤᱫ ᱠᱷᱮᱞᱚᱸᱰ ᱟᱨᱟᱜᱵᱟᱡᱤᱟᱨᱟᱜ18 ᱟᱨᱟᱜ ᱮᱞ ᱨᱮ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ᱾ ᱯᱷᱨᱮᱧᱪ ᱨᱮ: ᱨᱩᱡᱽ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱵᱟᱡᱤ ᱞᱟᱜᱟᱣᱟᱭ ᱟᱨ ᱯᱮᱭᱟ ᱠᱚᱞᱚᱢᱵᱟᱡᱤᱠᱚᱞᱚᱢᱞᱮᱭᱟᱣᱴ ᱨᱮᱭᱟᱜ ᱢᱤᱫ ᱛᱷᱤᱨ ᱠᱚᱞᱚᱢ ᱨᱮ ᱜᱮᱞᱵᱟᱨ ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 2:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮᱭᱟᱜ ᱦᱮᱸᱫᱮᱵᱟᱡᱤᱦᱮᱸᱫᱮ18 ᱦᱮᱸᱫᱮ ᱮᱞ ᱨᱮ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ᱾ ᱯᱷᱨᱮᱧᱪ ᱨᱮ: ᱱᱣᱟᱨ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱮᱞ ᱠᱚ ᱞᱟᱹᱜᱤᱫ ᱤᱨᱤᱥ ᱮᱦᱚᱵᱚᱜ ᱠᱟᱛᱮ ᱩᱱᱰᱮ ᱢᱤᱫ ᱪᱤᱯᱴᱟᱠᱟᱪᱤᱯᱛᱷᱤᱠ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ ᱪᱤᱱᱦᱟᱹ ᱴᱚᱠᱮᱱ, ᱵᱟᱡᱤ ᱞᱟᱹᱜᱤᱫ ᱞᱮᱭᱟᱣᱴ ᱨᱮ ᱫᱚᱦᱚᱜ-ᱟ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱪᱮᱠ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚᱦᱚᱭᱟᱭ: ᱱᱤᱛ 26 ᱮᱞ ᱪᱮᱫ ᱦᱚᱸ ᱡᱤᱛᱟᱹᱣᱟ᱾ ᱮᱴᱟᱜ ᱠᱷᱮᱞᱚᱸᱰ ᱵᱟᱨ ᱰᱚᱡᱮᱱᱵᱟᱡᱤᱰᱚᱡᱮᱱ1–12, 13–24 ᱟᱨᱵᱟᱝ 25–36, ᱵᱷᱩᱜᱛᱟᱱ 2:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱵᱟᱡᱤ ᱞᱟᱜᱟᱣ ᱠᱟᱛᱮ ᱵᱤᱢᱟ ᱞᱮᱠᱟ ᱡᱤᱨᱚᱪᱟᱠᱟᱡᱤᱨᱚᱢᱤᱫᱜᱮ ᱦᱟᱹᱨᱭᱟᱹᱲ ᱠᱷᱟᱱᱟ ᱡᱟᱦᱟᱸ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ, ᱰᱚᱡᱮᱱ ᱟᱨᱵᱟᱝ ᱠᱚᱞᱚᱢ ᱵᱟᱡᱤ ᱵᱟᱭ ᱠᱚᱵᱷᱟᱨᱟ; ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤ ᱨᱮᱭᱟᱜ ᱢᱩᱞ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱥᱤᱝᱜᱚᱞ ᱡᱤᱨᱚ, 0᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱦᱚᱸ ᱥᱮᱞᱮᱫᱟᱭ᱾ ᱟᱨ ᱢᱤᱫᱦᱚᱲ, ᱱᱚᱶᱟ ᱞᱮᱠᱟᱱ ᱨᱮᱭᱟᱜ ᱢᱤᱫ ᱧᱩᱛᱩᱢ ᱩᱫᱟᱹᱦᱚᱨᱚᱬ ᱨᱮ, ᱟᱨᱟᱜ ᱟᱨ ᱦᱮᱸᱫᱮ ᱵᱟᱨᱭᱟ ᱨᱮ ᱥᱟᱶ ᱛᱮ ᱵᱟᱡᱤ ᱞᱟᱜᱟᱣᱟᱭ᱾ ᱡᱚᱛᱚ ᱫᱷᱟᱯ ᱪᱟᱠᱟ ᱨᱮᱭᱟᱜ ᱵᱮᱥᱤ ᱦᱤᱥ ᱥᱟᱯᱲᱟᱣᱟ ᱟᱨ ᱡᱚᱠᱷᱤᱢ ᱠᱚᱢ ᱞᱮᱠᱟ ᱵᱩᱡᱷᱟᱹᱣᱚᱜ-ᱟ᱾ ᱣᱮᱨᱤᱭᱮᱱᱥᱜᱚᱱᱤᱛᱣᱮᱨᱤᱭᱮᱱᱥᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝ ᱜᱷᱮᱨᱟᱣ ᱨᱮᱡᱟᱞᱴ ᱛᱤᱱᱟᱹᱜ ᱯᱟᱥᱱᱟᱣᱚᱜ-ᱟ ᱚᱱᱟ ᱨᱮᱭᱟᱜ ᱥᱟᱯᱲᱟᱣ᱾ ᱥᱴᱨᱮᱴ ᱚᱯ ᱞᱟᱹᱜᱤᱫ ᱵᱟᱹᱲᱛᱤ, ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ ᱞᱟᱹᱜᱤᱫ ᱠᱚᱢ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱞᱮᱠᱟᱛᱮ ᱥᱟᱹᱨᱤ ᱜᱮ; ᱟᱸᱫᱟᱡᱽ ᱦᱟᱹᱱᱤᱜᱚᱱᱤᱛᱟᱸᱫᱟᱡᱽ ᱦᱟᱹᱱᱤᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝ ᱜᱩᱬ ᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱴᱟᱠᱟ; ᱢᱤᱫ ᱥᱮᱥᱚᱱ ᱟᱨᱵᱟᱝ ᱚᱠᱛᱚ ᱨᱮ ᱟᱣᱥᱚᱛ ᱛᱮ ᱦᱟᱨᱟᱣᱚᱜ ᱴᱟᱠᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱞᱮᱠᱟᱛᱮ ᱫᱚ ᱱᱚᱶᱟ ᱫᱚ ᱫᱚᱥᱟᱨ ᱵᱟᱡᱤ ᱞᱟᱹᱜᱤᱫ ᱜᱚᱱᱚᱝ ᱮᱢ ᱠᱟᱱᱟ᱾

ᱦᱤᱥᱟᱹᱵ
ᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝᱜᱚᱱᱤᱛᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝᱡᱮᱞᱮᱧ ᱚᱠᱛᱚ ᱨᱮ ᱢᱤᱫ ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ ᱟᱣᱥᱚᱛ ᱨᱮᱡᱟᱞᱴ᱾ ᱡᱚᱛᱚ ᱥᱟᱫᱷᱟᱨᱚᱱ ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱵᱟᱡᱤ ᱨᱮ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ −1/37᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱠᱚ ᱡᱩᱲᱟᱹᱣᱚᱜ-ᱟ᱾ ᱟᱨᱟᱜ ᱫᱚ ᱟᱡᱟᱜ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ −1/37; ᱠᱚᱞᱚᱢ ᱪᱤᱯ ᱫᱚ ᱟᱡᱟᱜ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ −1/37; ᱥᱟᱶ ᱛᱮ ᱫᱚ ᱡᱚᱛᱚ ᱨᱮᱭᱟᱜ −1/37᱾ ᱦᱮᱡᱤᱝ ᱫᱚ ᱵᱮᱥᱤ ᱡᱤᱛ ᱟᱨ ᱡᱤᱛ ᱯᱮᱥᱟ ᱨᱮ ᱠᱚᱢ ᱥᱩᱫᱽ ᱵᱷᱩᱜᱛᱟᱱᱴᱟᱠᱟᱵᱷᱩᱜᱛᱟᱱᱡᱤᱛ ᱵᱟᱡᱤ ᱪᱮᱫ ᱨᱩᱣᱟᱹᱲᱟ, ᱨᱩᱣᱟᱹᱲ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱪᱮᱛᱟᱱ “X ᱨᱮ 1” ᱞᱮᱠᱟ ᱨᱚᱲᱚᱜ-ᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱠᱤᱱᱤᱭᱟ, ᱴᱷᱤᱠ ᱱᱤᱭᱟᱭ ᱵᱚᱫᱚᱞ ᱫᱚᱨ ᱠᱷᱚᱱ 2.70% ᱠᱚᱢ ᱨᱮ᱾ ᱵᱟᱡᱤ ᱵᱮᱱᱟᱣᱤᱡ ᱦᱟᱹᱛᱤᱭᱟᱹᱨ ᱫᱚ ᱡᱟᱦᱟᱸ ᱪᱤᱯ ᱡᱩᱲᱤ ᱞᱟᱹᱜᱤᱫ ᱡᱚᱛᱚ 37 ᱚᱨᱡᱚ ᱞᱮᱠᱷᱟᱭᱟ ᱟᱨ ᱵᱟᱸᱴᱟᱣ ᱟᱨ (ᱵᱟᱝ ᱵᱚᱫᱚᱞᱚᱜ) EV ᱩᱫᱩᱜᱟ᱾
ᱟᱨᱟᱜ ᱥᱟᱶ ᱦᱮᱸᱫᱮ
ᱥᱤᱢᱟᱹ ᱨᱮᱭᱟᱜ ᱜᱚᱴᱚᱱᱟ᱾ ᱡᱤᱨᱚ ᱵᱟᱹᱲᱛᱤ ᱡᱚᱛᱚ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱨᱩᱣᱟᱹᱲᱚᱜ-ᱟ; ᱡᱤᱨᱚ ᱨᱮ ᱵᱟᱨᱭᱟ ᱜᱮ ᱦᱟᱹᱱᱤ᱾ ᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝ ᱡᱚᱛᱚ ᱨᱮᱭᱟᱜ −2.70%, ᱞᱟᱵᱷ ᱫᱚ ᱡᱤᱨᱚ᱾ ᱱᱚᱶᱟ ᱜᱮ ᱢᱤᱫᱴᱟᱹᱝ ᱨᱩᱞᱮᱴ ᱡᱩᱲᱤ ᱡᱟᱦᱟᱸ ᱫᱚ ᱯᱩᱨᱟᱹ ᱜᱮ ᱵᱮᱠᱟᱹᱨ, ᱟᱨ ᱟᱯᱮ ᱡᱟᱦᱟᱸ ᱞᱮᱠᱟ ᱟᱹᱭᱩᱨᱟ ᱯᱮ ᱩᱱᱤ ᱠᱷᱚᱱ ᱵᱮᱥᱤ ᱞᱟᱜᱟᱣᱚᱜ-ᱟ, ᱟᱹᱰᱤ ᱦᱚᱨᱚ ᱪᱟᱠᱨᱚ ᱛᱟᱞᱟ ᱨᱮ ᱥᱤᱥᱴᱮᱢ ᱦᱮᱡᱤᱝ ᱡᱚᱦᱚᱛ ᱨᱮ᱾
ᱧᱩᱛᱩᱢ ᱢᱮᱱᱟᱜ ᱥᱤᱥᱴᱮᱢ: ᱵᱚᱦᱮᱢᱤᱭᱟ (1959)
1959 ᱨᱮ ᱠᱭᱩᱵᱟ ᱨᱮᱭᱟᱜ ᱯᱟᱹᱛᱨᱤᱠᱟᱹ ᱵᱚᱦᱮᱢᱤᱭᱟ (Bohemia) ᱢᱤᱫ ᱥᱤᱥᱴᱮᱢ ᱪᱷᱟᱯᱟ ᱞᱮᱫᱟᱭ, ᱡᱟᱦᱟᱸ ᱫᱚ ᱛᱟᱭᱚᱢ ᱛᱮ ᱡᱚᱱ ᱥᱠᱟᱨᱱᱤ (John Scarne) ᱞᱟᱹᱭ ᱟᱨ ᱵᱷᱮᱫ ᱞᱮᱫᱟᱭ: ᱦᱮᱸᱫᱮ ᱨᱮ ᱢᱤᱫ ᱭᱩᱱᱤᱴᱴᱟᱠᱟᱭᱩᱱᱤᱴᱢᱤᱫ ᱥᱤᱥᱴᱮᱢ ᱟᱨᱵᱟᱝ ᱠᱷᱮᱞᱚᱸᱰ ᱵᱮᱵᱷᱟᱨ ᱵᱮᱥ ᱵᱟᱡᱤ ᱴᱟᱠᱟ᱾ ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱ ᱠᱚ ᱭᱩᱱᱤᱴ ᱛᱮ ᱵᱩᱡᱷᱟᱹᱣᱚᱜ-ᱟ ᱡᱮᱢᱚᱱ ᱡᱟᱦᱟᱸᱱ ᱴᱮᱵᱩᱞ ᱨᱮ ᱞᱟᱹᱜᱩ ᱦᱩᱭᱩᱜ-ᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱟᱨ ᱯᱮᱭᱟ ᱠᱚᱞᱚᱢ ᱨᱮ ᱢᱤᱫ, ᱡᱟᱦᱟᱸ ᱨᱮ ᱤᱨᱟᱹᱞ ᱟᱨᱟᱜ ᱮᱞ ᱟᱨ ᱢᱤᱫᱴᱟᱹᱝ ᱯᱩᱱ ᱦᱮᱸᱫᱮ ᱮᱞ ᱢᱮᱱᱟᱜ-ᱟ (6, 15, 24, 33)᱾ ᱟᱠᱤᱨᱤᱧᱤᱡ ᱠᱚ ᱫᱚ ᱰᱚᱵᱚᱞ ᱡᱤᱨᱚ ᱪᱟᱠᱟ ᱨᱮ ᱡᱚᱛᱚ 38 ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ 4 ᱭᱩᱱᱤᱴ ᱞᱟᱵᱷ ᱨᱮᱭᱟᱜ ᱠᱟᱛᱷᱟ ᱮᱢ ᱞᱮᱫᱟ; ᱥᱟᱹᱨᱤ ᱛᱮ ᱞᱮᱠᱷᱟ ᱠᱷᱟᱱ ᱩᱱᱤ ᱪᱟᱠᱟ ᱜᱮ 4 ᱦᱟᱹᱱᱤ ᱮᱢᱚᱜ-ᱟ᱾ ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱪᱟᱠᱟ ᱨᱮ ᱚᱨᱡᱚ ᱞᱮᱠᱷᱟ ᱯᱮ᱾ ᱯᱮᱭᱟ ᱠᱚᱞᱚᱢ ᱨᱮᱭᱟᱜ ᱦᱮᱸᱫᱮ ᱮᱞ ᱫᱚ ᱵᱟᱨᱭᱟ ᱵᱟᱡᱤ ᱡᱤᱛᱟᱹᱣᱟ, +3; ᱩᱱᱰᱮᱭᱟᱜ ᱟᱨᱟᱜ ᱮᱞ ᱫᱚ ᱠᱚᱞᱚᱢ ᱡᱤᱛᱟᱹᱣᱟ ᱟᱨ ᱦᱮᱸᱫᱮ ᱦᱟᱨᱟᱣᱟ, +1; ᱮᱴᱟᱜ ᱦᱮᱸᱫᱮ ᱫᱚ ᱦᱮᱸᱫᱮ ᱡᱤᱛᱟᱹᱣᱟ ᱟᱨ ᱠᱚᱞᱚᱢ ᱦᱟᱨᱟᱣᱟ, 0; ᱵᱟᱠᱤ ᱜᱮᱞ ᱟᱨᱟᱜ ᱟᱨ ᱡᱤᱨᱚ ᱫᱚ ᱵᱟᱨᱭᱟ ᱦᱟᱨᱟᱣᱟ, −2᱾ 37 ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱱᱚᱶᱟ ᱫᱚ 12 + 8 + 0 − 22 = −2 ᱭᱩᱱᱤᱴ, 74 ᱞᱟᱜᱟᱣ ᱨᱮ, 2.70%, ᱡᱚᱛᱚ ᱡᱩᱲᱤ ᱞᱮᱠᱟ ᱜᱮ᱾ ᱥᱤᱥᱴᱮᱢ ᱫᱚ 37 ᱠᱷᱚᱱ 26 ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱡᱤᱛᱟᱹᱣᱟ ᱥᱮ ᱵᱟᱨᱟᱵᱟᱨ ᱛᱟᱦᱮᱸᱱᱟ, ᱟᱨ ᱱᱚᱶᱟ ᱜᱮ ᱱᱚᱶᱟ ᱪᱟᱞᱟᱜ ᱞᱮᱠᱟ ᱧᱮᱞ ᱞᱮᱫᱟ᱾ ᱵᱚᱞᱢᱟᱱ (Bollman, 2024) ᱢᱤᱫ ᱯᱮ-ᱵᱟᱨ ᱨᱩᱯ ᱥᱮᱞᱮᱫ ᱮᱫᱟᱭ, ᱦᱮᱸᱫᱮ ᱨᱮ 3 ᱭᱩᱱᱤᱴ ᱟᱨ ᱠᱚᱞᱚᱢ ᱨᱮ 2, ᱩᱱᱤ ᱜᱚᱱᱚᱝ ᱨᱮ᱾
ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱ ᱨᱮᱭᱟᱜ ᱦᱮᱡᱤᱝ
ᱢᱟᱨᱴᱤᱝᱜᱮᱞᱥᱴᱨᱮᱴᱮᱡᱤᱢᱟᱨᱴᱤᱝᱜᱮᱞᱡᱚᱛᱚ ᱦᱟᱨᱟᱣ ᱛᱟᱭᱚᱢ ᱵᱟᱡᱤ ᱰᱚᱵᱚᱞ ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱ᱾ ᱱᱚᱶᱟ ᱪᱮᱫ ᱮ ᱠᱟᱹᱢᱤᱭᱟ ᱟᱨ ᱪᱮᱫ ᱵᱟᱭ ᱠᱟᱹᱢᱤᱭᱟ, ᱚᱱᱟ ᱥᱴᱨᱮᱴᱮᱡᱤ ᱦᱟᱹᱴᱤᱧ ᱨᱮ ᱧᱮᱞ ᱯᱮ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱡᱟᱹᱥᱛᱤ ᱞᱟᱹᱦᱟᱜ ᱠᱷᱮᱞᱚᱸᱰ ᱠᱚ ᱡᱷᱚᱜ ᱡᱷᱚᱜ ᱢᱟᱨᱟᱝ ᱵᱟᱡᱤ ᱫᱚ ᱟᱨᱟᱜ ᱟᱨ ᱢᱤᱫ ᱰᱚᱡᱮᱱ ᱨᱮ ᱦᱟᱹᱴᱤᱧᱟ ᱠᱚ, ᱥᱮ ᱡᱤᱨᱚ ᱥᱮᱞᱮᱫᱟ ᱠᱚ, ᱩᱱᱤ “ᱨᱟᱠᱷᱟ” ᱞᱟᱹᱜᱤᱫ᱾ ᱱᱚᱶᱟ ᱨᱟᱠᱷᱟ ᱫᱚ ᱟᱡᱟᱜ ᱨᱮᱭᱟᱜ 2.70% ᱜᱚᱱᱚᱝ ᱮᱢᱚᱜ-ᱟ ᱟᱨ ᱚᱠᱟ ᱚᱨᱡᱚ ᱪᱟᱠᱨᱚ ᱨᱩᱣᱟᱹᱲ ᱟᱹᱜᱩᱭᱟ ᱩᱱᱤ ᱵᱚᱫᱚᱞᱟ᱾ ᱪᱟᱠᱨᱚ ᱠᱷᱟᱨᱟᱯ ᱛᱮ ᱢᱩᱪᱟᱹᱫ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟᱜᱚᱱᱤᱛᱥᱚᱢᱵᱷᱟᱵᱱᱟᱢᱤᱫ ᱨᱮᱡᱟᱞᱴ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ, 0 ᱠᱷᱚᱱ 1 ᱟᱨᱵᱟᱝ 0% ᱠᱷᱚᱱ 100%᱾ ᱢᱤᱫ ᱮᱞ: 1/37 = 2.70%᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ ᱵᱟᱝ ᱵᱚᱫᱚᱞᱟ; ᱪᱮᱫ ᱟᱹᱰᱤ ᱠᱷᱟᱨᱟᱯ ᱩᱱᱤ ᱜᱮ ᱵᱚᱫᱚᱞᱟ, ᱵᱟᱨᱭᱟ ᱥᱮᱫ᱾ ᱛᱷᱤᱨ ᱱᱤᱭᱚᱢ ᱫᱚ ᱥᱚᱥᱛᱟ ᱟᱨ ᱠᱟᱹᱢᱤᱭᱟ᱾
ᱡᱚᱦᱚᱛ ᱞᱮᱠᱟ ᱵᱮᱥᱤ ᱜᱚᱱᱚᱝ ᱦᱟᱨᱟᱣᱟ: ᱢᱤᱫ ᱰᱤᱞᱟᱨ ᱨᱮᱭᱟᱜ ᱥᱮᱠᱴᱚᱨ ᱥᱤᱥᱴᱮᱢ
ᱰᱚᱵᱚᱞ ᱡᱤᱨᱚ ᱪᱟᱠᱟ ᱨᱮ ᱢᱤᱫ ᱥᱟᱯᱲᱟᱣ ᱫᱚ ᱮᱴᱟᱜ ᱠᱚ ᱠᱷᱚᱱ ᱵᱮᱥᱤ ᱜᱚᱱᱚᱝ ᱦᱟᱨᱟᱣᱟ᱾ ᱵᱚᱞᱢᱟᱱ (Bollman, 2021) ᱢᱤᱫ ᱥᱤᱥᱴᱮᱢ ᱵᱚᱨᱱᱚᱱ ᱮᱫᱟᱭ ᱡᱟᱦᱟᱸ ᱫᱚ ᱞᱟᱥ ᱵᱷᱮᱜᱟᱥ ᱨᱮᱭᱟᱜ ᱢᱤᱫ ᱰᱤᱞᱟᱨ ᱥᱚᱞᱦᱟ ᱞᱮᱫᱟᱭ, ᱟᱢᱮᱨᱤᱠᱟᱱ ᱪᱟᱠᱟ ᱨᱮᱭᱟᱜ ᱵᱟᱨ ᱵᱟᱸᱠᱟ ᱞᱟᱹᱜᱤᱫ: ᱤᱨᱟᱹᱞ ᱠᱷᱟᱱᱟᱥᱟᱡ ᱥᱟᱢᱟᱱᱠᱷᱟᱱᱟᱨᱚᱴᱚᱨ ᱨᱮᱭᱟᱜ 37 ᱮᱞ ᱚᱞ ᱠᱷᱟᱱᱟ ᱠᱷᱚᱱ ᱢᱤᱫ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱥᱞᱚᱴ, ᱠᱟᱯ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → 2, 0, 28, 9, 26, 30, 11, 7 ᱟᱨ ᱩᱱᱠᱩ ᱥᱟᱢᱟᱝ ᱨᱮ 1, 00, 27, 10, 25, 29, 12, 8᱾ ᱩᱱᱤ ᱪᱟᱠᱟ ᱨᱮ ᱵᱟᱨᱭᱟ ᱵᱟᱸᱠᱟ ᱫᱚ ᱵᱟᱝ ᱵᱟᱰᱟᱭ ᱛᱮ ᱞᱮᱭᱟᱣᱴᱥᱟᱡ ᱥᱟᱢᱟᱱᱞᱮᱭᱟᱣᱴᱴᱮᱵᱩᱞ ᱪᱮᱛᱟᱱ ᱪᱷᱟᱯᱟ ᱵᱟᱡᱤ ᱡᱟᱹᱞᱤ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱴᱮᱵᱩᱞ, ᱯᱷᱮᱞᱴ, ᱠᱟᱯᱲᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱵᱞᱚᱠ ᱨᱮ ᱫᱟᱹᱲᱤᱭᱟ, ᱚᱱᱟᱛᱮ ᱯᱮ ᱪᱤᱯ ᱛᱮ ᱥᱟᱯᱲᱟᱣᱚᱜ-ᱟ: ᱢᱤᱫ ᱢᱚᱬᱮ ᱮᱞ ᱵᱟᱡᱤ (0, 00, 1, 2, 3) ᱨᱮ, ᱢᱤᱫ ᱥᱤᱠᱥ ᱞᱟᱭᱤᱱᱵᱟᱡᱤᱥᱤᱠᱥ ᱞᱟᱭᱤᱱᱵᱟᱨ ᱥᱟᱵᱟᱫ ᱯᱟᱹᱱᱛᱤ ᱨᱮ ᱛᱩᱨᱩᱭ ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 5:1᱾ ᱯᱷᱨᱮᱧᱪ ᱨᱮ: ᱥᱤᱡᱮᱸ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → 7–12 ᱨᱮ ᱟᱨ ᱢᱤᱫ ᱥᱤᱠᱥ ᱞᱟᱭᱤᱱ 25–30 ᱨᱮ᱾ ᱱᱚᱶᱟ ᱫᱚ 17 ᱮᱞ, ᱵᱟᱨᱭᱟ ᱵᱟᱸᱠᱟ ᱟᱨ 3, ᱯᱮ ᱪᱤᱯ ᱞᱟᱹᱜᱤᱫ᱾ ᱯᱮᱸᱪ ᱫᱚ ᱯᱩᱭᱞᱩ ᱪᱤᱯ ᱨᱮ ᱢᱮᱱᱟᱜ-ᱟ᱾ ᱞᱮᱭᱟᱣᱴ ᱨᱮ ᱢᱤᱫᱴᱟᱹᱝ 0, 00, 1 ᱟᱨ 2 ᱞᱟᱹᱜᱤᱫ ᱡᱟᱦᱟᱸ ᱵᱟᱡᱤ ᱵᱟᱹᱱᱩᱜ-ᱟ, ᱟᱨ ᱢᱚᱬᱮ ᱮᱞ ᱵᱟᱡᱤ ᱫᱚ ᱢᱤᱫᱴᱟᱹᱝ ᱟᱢᱮᱨᱤᱠᱟᱱ ᱵᱟᱡᱤ ᱡᱟᱦᱟᱸ ᱨᱮᱭᱟᱜ ᱜᱚᱱᱚᱝ 5.26% ᱵᱚᱫᱚᱞ ᱨᱮ 7.89%᱾ ᱱᱚᱶᱟ ᱫᱚ ᱡᱚᱛᱚ ᱡᱚᱦᱚᱛ ᱞᱮᱠᱟ ᱢᱤᱫ ᱭᱩᱱᱤᱴ ᱨᱮᱭᱟᱜ −7/38 ᱥᱮᱫ ᱩᱨᱩᱢᱟ, 3 ᱭᱩᱱᱤᱴ ᱞᱟᱜᱟᱣ ᱨᱮ, 6.14%᱾ ᱟᱢᱮᱨᱤᱠᱟᱱ ᱴᱮᱵᱩᱞ ᱨᱮ, ᱢᱚᱬᱮ ᱮᱞ ᱵᱟᱡᱤ ᱵᱟᱹᱲᱛᱤ ᱡᱟᱦᱟᱸ ᱥᱟᱯᱲᱟᱣ ᱫᱚ 5.26% ᱜᱚᱱᱚᱝ ᱦᱟᱨᱟᱣᱟ; ᱱᱚᱶᱟ ᱫᱚ ᱩᱱᱤ ᱥᱮᱞᱮᱫ ᱢᱮᱱᱟᱜ ᱛᱮ ᱵᱮᱥᱤ ᱜᱚᱱᱚᱝ ᱦᱟᱨᱟᱣᱟ᱾
ᱨᱩᱞᱮᱴ ᱰᱤᱞᱟᱨ ᱠᱚ ᱮᱞ ᱱᱤᱥᱟᱹᱱᱟ ᱫᱟᱲᱮᱭᱟᱜ ᱠᱚᱣᱟ ᱥᱮ? ᱵᱷᱨᱚᱢᱟᱢᱮᱨᱤᱠᱟᱱ ᱨᱩᱞᱮᱴ ᱪᱟᱠᱟ ᱟᱨ ᱱᱤᱭᱚᱢ
ᱥᱟᱯᱲᱟᱣ ᱫᱚ ᱛᱤᱦᱤᱸ ᱴᱷᱤᱠ ᱜᱮ
ᱡᱚᱦᱚᱛ ᱞᱮᱠᱟ ᱜᱮ ᱟᱯᱮ ᱠᱷᱚᱡᱚᱜ ᱠᱟᱱᱟ ᱯᱮ ᱛᱤᱦᱤᱸ: ᱡᱮᱞᱮᱧ, ᱥᱟᱸᱵᱤᱫ ᱥᱮᱥᱚᱱ ᱞᱟᱹᱜᱤᱫ ᱵᱮᱥᱤ ᱡᱤᱛ ᱦᱟᱨ, ᱱᱚᱶᱟ ᱵᱩᱡᱷᱟᱹᱣ ᱥᱟᱶ ᱡᱮ ᱜᱚᱱᱚᱝ ᱫᱚ ᱵᱟᱝ ᱵᱚᱫᱚᱞᱚᱜ-ᱟ᱾ ᱡᱮᱢᱥ ᱵᱚᱸᱰ ᱥᱯᱨᱮᱰ ᱟᱨ ᱵᱟᱨ ᱰᱚᱡᱮᱱ ᱠᱷᱮᱞ ᱫᱚ ᱨᱩᱞᱮᱴ ᱥᱯᱨᱮᱰ ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ ᱥᱚᱫᱚᱨ ᱨᱩᱯ ᱠᱟᱱᱟ᱾ ᱵᱮᱥᱚᱫᱚᱨ ᱨᱩᱯ ᱫᱚ ᱡᱟᱦᱟᱸ ᱯᱚᱛᱚᱵ ᱡᱟᱦᱟᱸ ᱫᱚ ᱢᱮᱱᱟᱭ ᱡᱮ ᱢᱤᱫ ᱥᱟᱯᱲᱟᱣ ᱡᱚᱦᱚᱛ “ᱵᱟᱝ ᱦᱟᱨᱟᱣᱟ”; ᱦᱤᱥᱟᱹᱵ ᱢᱮᱱᱟᱜ-ᱟ ᱡᱮ ᱡᱚᱛᱚ ᱡᱚᱦᱚᱛ ᱟᱡᱟᱜ ᱞᱟᱜᱟᱣ ᱨᱮᱭᱟᱜ 2.70% ᱦᱟᱨᱟᱣᱟ᱾
ᱠᱩᱠᱞᱤ ᱠᱚ
ᱢᱤᱫᱴᱟᱹᱝ ᱯᱷᱨᱮᱧᱪ ᱴᱮᱵᱩᱞ ᱨᱮ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤᱵᱟᱡᱤᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤᱟᱨᱟᱜ/ᱦᱮᱸᱫᱮ, ᱵᱤᱡᱳᱲ/ᱡᱳᱲ, ᱢᱟᱨᱟᱝ/ᱦᱩᱰᱤᱧ᱾ 18 ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 1:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →, 1.35% ᱨᱮ᱾ ᱩᱱᱠᱩ ᱥᱟᱶ ᱮᱴᱟᱜ ᱵᱟᱡᱤ ᱥᱮᱞᱮᱫ ᱠᱷᱟᱱ ᱢᱤᱥᱟᱹᱣ ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤ ᱪᱮᱛᱟᱱᱚᱜ-ᱟ᱾
ᱦᱮᱸ᱾ ᱱᱚᱶᱟ ᱜᱮ ᱱᱚᱶᱟ ᱠᱤᱱᱤᱭᱟ, ᱟᱨ ᱮᱴᱟᱜ ᱪᱮᱫ ᱦᱚᱸ ᱵᱟᱝ᱾
ᱱᱚᱶᱟ ᱫᱚ ᱵᱟᱨ ᱵᱟᱡᱤ, ᱡᱚᱛᱚ ᱜᱮ EV −2.70%᱾ ᱩᱱᱠᱩ ᱟᱹᱰᱤ ᱨᱟᱦᱟᱲ ᱜᱮ ᱠᱚ ᱛᱟᱦᱮᱸᱱᱟ᱾
ᱞᱟᱸᱫᱟ ᱞᱟᱹᱜᱤᱫ ᱠᱚᱢᱤᱠ

ᱥᱟᱯᱲᱟᱣ ᱫᱚ ᱵᱮᱱᱟᱣ ᱵᱚᱫᱚᱞᱟ᱾ ᱜᱚᱱᱚᱝ ᱫᱚ ᱡᱚᱛᱚ ᱪᱤᱯ ᱨᱮ ᱢᱮᱱᱟᱜ-ᱟ᱾
ᱯᱷᱮᱰᱟᱛ
- RouletteDoc. Roulette strategies overview.
- Roulette77. Roulette strategies overview.
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette.
- Bollman, M. Basic Gambling Mathematics: The Numbers Behind the Neon, 2nd ed.
- Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed.
- Scarne, J. Scarne’s Complete Guide to Gambling.