ᱨᱩᱞᱮᱴ ᱵᱷᱩᱜᱛᱟᱱ
ᱨᱩᱞᱮᱴ ᱵᱷᱩᱜᱛᱟᱱ ᱢᱤᱫ ᱜᱮ ᱱᱤᱭᱚᱢ ᱢᱟᱱᱟᱣᱟ: 36 ᱛᱟᱲᱟᱣ ᱮᱞ ᱛᱮ ᱦᱟᱹᱴᱤᱧ, ᱟᱨ ᱢᱤᱫ ᱠᱚᱢ᱾
ᱵᱷᱩᱜᱛᱟᱱ = 36/n − 1᱾ ᱢᱤᱫ ᱮᱞ 35:1 ᱮᱢᱟ, ᱵᱟᱨ ᱮᱞ 17:1, ᱜᱮᱞ ᱤᱨᱟᱹᱞ ᱮᱞ 1:1᱾ ᱯᱷᱚᱨᱢᱩᱞᱟ ᱫᱚ 36 ᱠᱷᱟᱱᱟ ᱢᱮᱱᱟᱜ-ᱟ ᱞᱮᱠᱟ ᱵᱷᱟᱱᱜᱟᱣ ᱮᱫᱟ; ᱥᱟᱹᱨᱤ ᱛᱮ 37 ᱢᱮᱱᱟᱜ-ᱟ᱾
ᱨᱩᱞᱮᱴ ᱵᱷᱩᱜᱛᱟᱱ ᱪᱟᱨᱴ
ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱨᱩᱞᱮᱴᱨᱩᱯᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱨᱩᱞᱮᱴᱥᱤᱝᱜᱚᱞ ᱡᱤᱨᱚ ᱪᱟᱠᱟ, 37 ᱠᱷᱟᱱᱟ, ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤ 2.70%᱾ ᱱᱚᱶᱟ ᱥᱟᱭᱤᱴ ᱨᱮᱭᱟᱜ ᱢᱩᱬᱩᱛ ᱢᱚᱰᱮᱞ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱥᱩᱢᱩᱝ ᱮᱭᱟᱭ ᱞᱮᱠᱟᱱ ᱵᱷᱩᱜᱛᱟᱱᱴᱟᱠᱟᱵᱷᱩᱜᱛᱟᱱᱡᱤᱛ ᱵᱟᱡᱤ ᱪᱮᱫ ᱨᱩᱣᱟᱹᱲᱟ, ᱨᱩᱣᱟᱹᱲ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱪᱮᱛᱟᱱ “X ᱨᱮ 1” ᱞᱮᱠᱟ ᱨᱚᱲᱚᱜ-ᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱢᱮᱱᱟᱜ-ᱟ, ᱡᱚᱛᱚ ᱛᱟᱲᱟᱣ ᱞᱟᱹᱜᱤᱫ ᱢᱤᱫ; ᱞᱟᱛᱟᱨ ᱨᱮᱭᱟᱜ ᱛᱟᱹᱞᱤᱠᱟᱹ ᱨᱮ ᱨᱩᱞᱮᱴ ᱚᱰᱥ ᱟᱨ ᱵᱷᱩᱜᱛᱟᱱ ᱥᱟᱞᱟᱜ ᱥᱟᱞᱟᱜ ᱢᱮᱱᱟᱜ-ᱟ᱾ ᱱᱤᱭᱚᱢ ᱵᱟᱰᱟᱭ ᱠᱷᱟᱱ ᱛᱟᱹᱞᱤᱠᱟᱹ ᱟᱨ ᱵᱟᱝ ᱞᱟᱹᱠᱛᱤᱭᱟ; ᱛᱟᱹᱞᱤᱠᱟᱹ ᱵᱟᱰᱟᱭ ᱠᱷᱟᱱ ᱱᱤᱭᱚᱢ ᱟᱡ ᱛᱮ ᱜᱮ ᱥᱟᱯᱷᱟ ᱦᱩᱭᱩᱜ-ᱟ᱾
ᱡᱚᱛᱚ ᱡᱟᱭᱜᱟ ᱨᱮ ᱢᱤᱫ ᱵᱟᱲᱛᱤ ᱪᱮᱫᱟᱜ
37 ᱠᱷᱟᱱᱟᱥᱟᱡ ᱥᱟᱢᱟᱱᱠᱷᱟᱱᱟᱨᱚᱴᱚᱨ ᱨᱮᱭᱟᱜ 37 ᱮᱞ ᱚᱞ ᱠᱷᱟᱱᱟ ᱠᱷᱚᱱ ᱢᱤᱫ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱥᱞᱚᱴ, ᱠᱟᱯ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱛᱟᱞᱟ ᱠᱷᱚᱱ n ᱛᱟᱲᱟᱣ ᱵᱟᱡᱤ ᱞᱟᱹᱜᱤᱫ ᱱᱤᱭᱟᱭ ᱵᱷᱩᱜᱛᱟᱱ ᱫᱚ (37 − n)/n ᱨᱮ 1 ᱦᱩᱭ ᱛᱟᱦᱮᱸᱱᱟ᱾ ᱠᱮᱥᱤᱱᱳ (36 − n)/n ᱨᱮ 1 ᱮ ᱮᱢᱟ᱾ ᱠᱚᱢ ᱠᱟᱛᱮ ᱯᱷᱟᱨᱟᱠ ᱫᱚ ᱡᱚᱛᱚ ᱡᱤᱛ ᱨᱮ ᱴᱷᱤᱠ 1/n ᱭᱩᱱᱤᱴᱴᱟᱠᱟᱭᱩᱱᱤᱴᱢᱤᱫ ᱥᱤᱥᱴᱮᱢ ᱟᱨᱵᱟᱝ ᱠᱷᱮᱞᱚᱸᱰ ᱵᱮᱵᱷᱟᱨ ᱵᱮᱥ ᱵᱟᱡᱤ ᱴᱟᱠᱟ᱾ ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱ ᱠᱚ ᱭᱩᱱᱤᱴ ᱛᱮ ᱵᱩᱡᱷᱟᱹᱣᱚᱜ-ᱟ ᱡᱮᱢᱚᱱ ᱡᱟᱦᱟᱸᱱ ᱴᱮᱵᱩᱞ ᱨᱮ ᱞᱟᱹᱜᱩ ᱦᱩᱭᱩᱜ-ᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →; ᱡᱤᱛ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟᱜᱚᱱᱤᱛᱥᱚᱢᱵᱷᱟᱵᱱᱟᱢᱤᱫ ᱨᱮᱡᱟᱞᱴ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ, 0 ᱠᱷᱚᱱ 1 ᱟᱨᱵᱟᱝ 0% ᱠᱷᱚᱱ 100%᱾ ᱢᱤᱫ ᱮᱞ: 1/37 = 2.70%᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → n/37 ᱛᱮ ᱜᱩᱬ ᱠᱷᱟᱱ ᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱨᱮ ᱟᱸᱫᱟᱡᱽ ᱠᱚᱢ ᱫᱚ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ 1/37᱾ ᱚᱱᱟᱛᱮ ᱡᱟᱦᱟᱱ ᱵᱟᱡᱤ ᱢᱮᱥᱟ ᱦᱚᱸ ᱵᱟᱲᱛᱤ ᱠᱷᱚᱱ ᱵᱟᱝ ᱵᱟᱧᱪᱟᱣ ᱫᱟᱲᱮᱭᱟᱜ-ᱟ: ᱟᱯᱮ ᱨᱤᱱ ᱮᱞ ᱠᱚ ᱥᱮᱞᱮᱫ ᱮᱫᱟ ᱯᱮ᱾
“ᱨᱮ” ᱟᱨ “ᱞᱟᱹᱜᱤᱫ”
35 ᱨᱮ 1 ᱢᱮᱱᱮᱛ ᱫᱚ ᱡᱤᱛ $1 ᱪᱤᱯᱴᱟᱠᱟᱪᱤᱯᱛᱷᱤᱠ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ ᱪᱤᱱᱦᱟᱹ ᱴᱚᱠᱮᱱ, ᱵᱟᱡᱤ ᱞᱟᱹᱜᱤᱫ ᱞᱮᱭᱟᱣᱴ ᱨᱮ ᱫᱚᱦᱚᱜ-ᱟ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱪᱮᱠ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → $35 ᱡᱤᱛ ᱮ ᱮᱢᱟ ᱟᱨ $1 ᱟᱯᱮ ᱴᱷᱮᱱ ᱛᱟᱦᱮᱸᱱᱟ᱾ 1 ᱞᱟᱹᱜᱤᱫ 35, ᱡᱟᱦᱟᱸ ᱫᱚ ᱛᱤᱱᱟᱹᱜ ᱜᱟᱱ ᱟᱢᱮᱨᱤᱠᱟᱱ ᱞᱮᱭᱟᱣᱴᱥᱟᱡ ᱥᱟᱢᱟᱱᱞᱮᱭᱟᱣᱴᱴᱮᱵᱩᱞ ᱪᱮᱛᱟᱱ ᱪᱷᱟᱯᱟ ᱵᱟᱡᱤ ᱡᱟᱹᱞᱤ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱴᱮᱵᱩᱞ, ᱯᱷᱮᱞᱴ, ᱠᱟᱯᱲᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱟᱨ ᱥᱞᱚᱴ ᱢᱮᱥᱤᱱ ᱨᱮ ᱧᱮᱞᱚᱜ-ᱟ, ᱚᱱᱟ ᱨᱮᱭᱟᱜ ᱢᱟᱱᱮ ᱫᱚ $1 ᱫᱚ $35 ᱵᱷᱤᱛᱤᱨ ᱨᱮ ᱢᱮᱱᱟᱜ-ᱟ, ᱚᱱᱟᱛᱮ ᱥᱟᱹᱨᱤ ᱵᱷᱩᱜᱛᱟᱱ ᱫᱚ 34 ᱨᱮ 1᱾ ᱨᱩᱞᱮᱴ ᱡᱷᱚᱛᱚ ᱡᱚᱛᱚ ᱡᱟᱭᱜᱟ ᱨᱮ “ᱨᱮ” ᱵᱮᱵᱷᱟᱨᱚᱜ-ᱟ᱾ ᱡᱩᱫᱤ ᱨᱩᱞᱮᱴ ᱴᱮᱵᱩᱞ ᱵᱷᱩᱜᱛᱟᱱ “ᱞᱟᱹᱜᱤᱫ” ᱛᱮ ᱞᱟᱹᱭᱚᱜ-ᱟ, ᱚᱱᱟ ᱵᱟᱡᱤ ᱨᱮ ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤᱜᱚᱱᱤᱛᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱠᱷᱚᱱ ᱠᱮᱥᱤᱱᱳ ᱟᱣᱥᱚᱛ ᱛᱮ ᱫᱚᱦᱚᱭ ᱦᱟᱹᱴᱤᱧ: ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱨᱩᱞᱮᱴ ᱨᱮ 2.70%᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱧᱮᱞ ᱠᱷᱚᱱ ᱵᱮᱥᱤ᱾
ᱨᱩᱞᱮᱴ ᱛᱤᱱᱟᱹᱜ ᱮᱢᱟ? ᱦᱤᱥᱟᱹᱵ ᱫᱟᱹᱭᱠᱟᱹ
ᱡᱤᱛ ᱠᱚᱨᱱᱟᱨᱵᱟᱡᱤᱠᱚᱨᱱᱟᱨᱞᱮᱭᱟᱣᱴ ᱨᱮ ᱢᱤᱫ ᱠᱚᱬᱟ ᱥᱟᱡᱷᱟ ᱟᱠᱟᱱ ᱯᱩᱱ ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 8:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱜᱮᱞ ᱰᱚᱞᱟᱨ: 8 × $10 = $80 ᱡᱤᱛ, ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱥᱟᱶ $90 ᱨᱩᱣᱟᱹᱲ᱾ ᱡᱤᱛ ᱰᱚᱡᱮᱱᱵᱟᱡᱤᱰᱚᱡᱮᱱ1–12, 13–24 ᱟᱨᱵᱟᱝ 25–36, ᱵᱷᱩᱜᱛᱟᱱ 2:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱜᱮᱞ ᱰᱚᱞᱟᱨ: $20 ᱡᱤᱛ, $30 ᱨᱩᱣᱟᱹᱲ᱾ ᱯᱟᱲᱚᱥᱤᱵᱟᱡᱤᱯᱟᱲᱚᱥᱤᱪᱟᱠᱟ ᱨᱮ ᱢᱤᱫ ᱮᱞ ᱟᱨ ᱚᱱᱟ ᱨᱮᱭᱟᱜ ᱵᱟᱨᱭᱟ ᱥᱮᱫ ᱵᱟᱨ-ᱵᱟᱨ ᱠᱷᱟᱱᱟ, ᱢᱚᱬᱮ ᱥᱴᱨᱮᱴ ᱚᱯ ᱪᱤᱯ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱵᱟᱡᱤ ᱨᱮ ᱜᱮᱞ ᱰᱚᱞᱟᱨ (ᱢᱚᱬᱮᱴᱟ $2 ᱪᱤᱯ) ᱢᱤᱫ ᱦᱤᱴ ᱥᱟᱶ: ᱚᱱᱟ ᱪᱤᱯ 35 × $2 = $70 ᱮᱢᱟ, ᱮᱴᱟᱜ ᱯᱩᱱᱴᱟ $8 ᱦᱟᱨᱟᱣᱚᱜ-ᱟ, ᱥᱩᱫᱽ +$62᱾ ᱣᱟᱡᱟᱸ ᱫᱩ ᱡᱮᱨᱳFR · ᱥᱮᱠᱴᱚᱨᱣᱟᱡᱟᱸ ᱫᱩ ᱡᱮᱨᱳ“ᱡᱤᱨᱚ ᱨᱮᱭᱟᱜ ᱯᱟᱲᱚᱥᱤ”: ᱪᱟᱠᱟ ᱨᱮ 22 ᱠᱷᱚᱱ 25 ᱦᱟᱹᱵᱤᱡ ᱜᱮᱞᱮᱭᱟᱭ ᱮᱞ, ᱟᱨᱮ ᱪᱤᱯ ᱛᱮ ᱵᱟᱡᱤ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱜᱮᱞ ᱰᱚᱞᱟᱨ (ᱟᱨᱮᱴᱟ ᱪᱤᱯ, ᱚᱱᱟᱛᱮ ᱥᱟᱹᱨᱤ ᱛᱮ ᱢᱤᱫᱴᱟ ᱯᱤᱪᱷᱤ $1.11, ᱴᱮᱵᱩᱞ ᱫᱷᱟᱯ ᱞᱮᱠᱟ ᱜᱚᱞ) ᱚᱠᱟ ᱠᱷᱟᱱᱟ ᱦᱤᱴ ᱚᱱᱟ ᱞᱮᱠᱟ +$10 ᱠᱷᱚᱱ +$16.67 ᱦᱟᱵᱤᱡ ᱮᱢᱟ, ᱪᱮᱫᱟᱜ ᱥᱮ ᱵᱟᱡᱤ ᱛᱤᱱᱟᱹᱜ ᱜᱟᱱ ᱠᱷᱟᱱᱟ ᱵᱟᱨ ᱫᱷᱟᱣ ᱛᱟᱲᱟᱣᱟ᱾
- ᱥᱴᱨᱮᱴ ᱚᱯᱵᱟᱡᱤᱥᱴᱨᱮᱴ ᱚᱯᱢᱤᱫ ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 35:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →, $10: ᱡᱤᱛ ᱨᱮ +$350, $360 ᱨᱩᱣᱟᱹᱲ᱾
- ᱥᱯᱞᱤᱴᱵᱟᱡᱤᱥᱯᱞᱤᱴᱵᱟᱨ ᱥᱟᱵᱟᱫ ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 17:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →, $10: +$170᱾
- ᱥᱴᱨᱤᱴᱵᱟᱡᱤᱥᱴᱨᱤᱴᱞᱮᱭᱟᱣᱴ ᱨᱮᱭᱟᱜ ᱢᱤᱫ ᱯᱟᱹᱱᱛᱤ ᱨᱮ ᱯᱮ ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 11:1᱾ ᱯᱷᱨᱮᱧᱪ ᱨᱮ: ᱴᱨᱟᱸᱥᱣᱮᱨᱥᱟᱞ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →, $10: +$110᱾
- ᱠᱚᱨᱱᱟᱨ, $10: +$80᱾
- ᱥᱤᱠᱥ ᱞᱟᱭᱤᱱᱵᱟᱡᱤᱥᱤᱠᱥ ᱞᱟᱭᱤᱱᱵᱟᱨ ᱥᱟᱵᱟᱫ ᱯᱟᱹᱱᱛᱤ ᱨᱮ ᱛᱩᱨᱩᱭ ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 5:1᱾ ᱯᱷᱨᱮᱧᱪ ᱨᱮ: ᱥᱤᱡᱮᱸ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →, $10: +$50᱾
- ᱰᱚᱡᱮᱱ ᱥᱮ ᱠᱚᱞᱚᱢᱵᱟᱡᱤᱠᱚᱞᱚᱢᱞᱮᱭᱟᱣᱴ ᱨᱮᱭᱟᱜ ᱢᱤᱫ ᱛᱷᱤᱨ ᱠᱚᱞᱚᱢ ᱨᱮ ᱜᱮᱞᱵᱟᱨ ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 2:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →, $10: +$20᱾
- ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ, $10: +$10᱾
ᱢᱤᱫ ᱥᱟᱶ ᱟᱭᱢᱟ ᱵᱟᱡᱤ ᱨᱮ ᱨᱩᱞᱮᱴ ᱪᱮᱫ ᱮᱢᱟ?
ᱵᱟᱡᱤ ᱠᱚ ᱟᱡᱟᱫ ᱛᱮ ᱯᱷᱚᱭᱥᱚᱞᱟ ᱦᱩᱭᱩᱜ-ᱟ ᱟᱨ ᱛᱟᱭᱚᱢ ᱡᱚᱲᱟᱣᱚᱜ-ᱟ᱾ ᱟᱨᱟᱜᱵᱟᱡᱤᱟᱨᱟᱜ18 ᱟᱨᱟᱜ ᱮᱞ ᱨᱮ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ᱾ ᱯᱷᱨᱮᱧᱪ ᱨᱮ: ᱨᱩᱡᱽ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ $5, ᱦᱮᱸᱫᱮᱵᱟᱡᱤᱦᱮᱸᱫᱮ18 ᱦᱮᱸᱫᱮ ᱮᱞ ᱨᱮ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ᱾ ᱯᱷᱨᱮᱧᱪ ᱨᱮ: ᱱᱣᱟᱨ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ $5 ᱟᱨ ᱡᱤᱨᱚᱪᱟᱠᱟᱡᱤᱨᱚᱢᱤᱫᱜᱮ ᱦᱟᱹᱨᱭᱟᱹᱲ ᱠᱷᱟᱱᱟ ᱡᱟᱦᱟᱸ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ, ᱰᱚᱡᱮᱱ ᱟᱨᱵᱟᱝ ᱠᱚᱞᱚᱢ ᱵᱟᱡᱤ ᱵᱟᱭ ᱠᱚᱵᱷᱟᱨᱟ; ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤ ᱨᱮᱭᱟᱜ ᱢᱩᱞ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱥᱤᱝᱜᱚᱞ ᱡᱤᱨᱚ, 0᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ $1: ᱡᱟᱦᱟᱱ ᱟᱨᱟᱜ ᱥᱮ ᱦᱮᱸᱫᱮ ᱮᱞ ᱨᱮ $5 ᱡᱤᱛᱟᱹᱣ ᱟᱨ $5 ᱦᱟᱨᱟᱣ, ᱥᱩᱫᱽ −$1 (ᱡᱤᱨᱚ ᱪᱤᱯ)᱾ ᱡᱤᱨᱚ ᱨᱮ $10 ᱦᱟᱨᱟᱣ ᱟᱨ $35 ᱡᱤᱛᱟᱹᱣ, ᱥᱩᱫᱽ +$25᱾ ᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝᱜᱚᱱᱤᱛᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝᱡᱮᱞᱮᱧ ᱚᱠᱛᱚ ᱨᱮ ᱢᱤᱫ ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ ᱟᱣᱥᱚᱛ ᱨᱮᱡᱟᱞᱴ᱾ ᱡᱚᱛᱚ ᱥᱟᱫᱷᱟᱨᱚᱱ ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱵᱟᱡᱤ ᱨᱮ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ −1/37᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱟᱡᱦᱚᱸ $11 ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ −2.70%, ᱜᱷᱩᱨᱟᱹᱣ ᱯᱤᱪᱷᱤ ᱡᱷᱚᱛᱚ −$0.30, ᱪᱮᱫᱟᱜ ᱥᱮ ᱡᱚᱛᱚ ᱦᱟᱹᱴᱤᱧ ᱟᱡ ᱛᱮ −2.70%᱾
ᱴᱮᱵᱩᱞ ᱨᱮ ᱜᱚᱞ ᱮᱞ
ᱠᱮᱥᱤᱱᱳ ᱨᱮ ᱨᱩᱞᱮᱴ ᱴᱮᱵᱩᱞ ᱵᱷᱩᱜᱛᱟᱱ ᱪᱤᱯ ᱜᱚᱱᱚᱝ ᱛᱮ ᱦᱩᱭᱩᱜ-ᱟ, ᱚᱱᱟᱛᱮ 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 → ᱨᱮ ᱵᱮᱢᱮᱞ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱜᱚᱞ ᱦᱩᱭᱩᱜ-ᱟ᱾ ᱚᱱᱞᱟᱭᱤᱱ ᱴᱮᱵᱩᱞ ᱥᱮᱱᱴ ᱦᱟᱵᱤᱡ ᱠᱚ ᱮᱢᱟ᱾ ᱡᱟᱦᱟᱸ ᱨᱮ ᱜᱚᱞ ᱠᱷᱮᱞᱚᱸᱰ ᱵᱤᱨᱩᱫᱽ ᱨᱮ ᱪᱟᱞᱟᱜ-ᱟ (ᱡᱮᱞᱮᱠᱟ $0.333 ᱪᱤᱯ $0.33 ᱞᱮᱠᱟ ᱮᱢ), ᱚᱱᱟ ᱨᱮᱭᱟᱜ ᱚᱥᱚᱨ ᱫᱚ ᱟᱯᱮᱭᱟᱜ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ ᱦᱩᱰᱤᱧ ᱦᱟᱹᱴᱤᱧ ᱨᱮᱭᱟᱜ ᱢᱤᱫ ᱯᱚᱨᱥᱮᱱᱴ ᱠᱷᱚᱱ ᱠᱚᱢ, ᱟᱨ ᱱᱚᱰᱮ ᱥᱩᱢᱩᱝ ᱦᱚᱲ ᱠᱚ ᱠᱩᱞᱤ ᱮᱫᱟ ᱚᱱᱟᱛᱮ ᱚᱞ ᱟᱠᱟᱱᱟ᱾
36 ᱪᱮᱫᱟᱜ
36 ᱫᱚ 1, 2, 3, 4, 6, 9, 12, 18 ᱟᱨ 36 ᱛᱮ ᱦᱟᱹᱴᱤᱧᱚᱜ-ᱟ, ᱚᱱᱟᱛᱮ ᱡᱚᱛᱚ ᱢᱟᱱᱚᱠ ᱨᱩᱞᱮᱴ ᱵᱷᱩᱜᱛᱟᱱ ᱫᱚ ᱯᱩᱨᱟᱹ ᱮᱞ᱾ ᱵᱤᱨᱤᱵᱤ, ᱨᱩᱞᱮᱴ ᱨᱮᱭᱟᱜ ᱢᱤᱫ ᱤᱴᱟᱞᱤᱭᱟᱱ ᱯᱩᱨᱩᱣᱟᱹ ᱠᱷᱮᱞ, ᱚᱱᱰᱮ 70 ᱮᱞ ᱛᱟᱦᱮᱸ ᱠᱟᱱᱟ ᱟᱨ ᱢᱤᱫ ᱮᱞ ᱨᱮ 1 ᱞᱟᱹᱜᱤᱫ 64 ᱨᱩᱣᱟᱹᱲ ᱮᱢᱚᱜ ᱛᱟᱦᱮᱸ ᱠᱟᱱᱟ; 64 ᱪᱮᱛᱟᱱ ᱨᱮ ᱛᱮᱭᱟᱨ ᱵᱷᱩᱜᱛᱟᱱ ᱱᱤᱭᱚᱢ 1, 2, 4, 8, 16 ᱟᱨ 32 ᱮᱞ ᱞᱟᱹᱜᱤᱫ ᱥᱟᱯᱷᱟ ᱦᱟᱹᱴᱤᱧᱚᱜ-ᱟ ᱢᱮᱱᱠᱷᱟᱱ 3, 5 ᱥᱮ 6 ᱞᱟᱹᱜᱤᱫ ᱵᱟᱝ, ᱚᱱᱟᱛᱮ ᱟᱭᱢᱟ ᱵᱟᱡᱤ ᱨᱮ ᱜᱚᱞ ᱞᱟᱹᱠᱛᱤ ᱦᱩᱭ ᱛᱟᱦᱮᱸᱱᱟ᱾ ᱵᱟᱨ ᱠᱟᱹᱴᱤᱡ ᱧᱮᱞᱚᱜ ᱵᱟᱡᱤ ᱦᱚᱸ ᱮᱴᱟᱜ ᱠᱚ ᱞᱮᱠᱟ 36/n − 1 ᱱᱤᱭᱚᱢ ᱢᱟᱱᱟᱣᱟ: ᱰᱚᱵᱚᱞ ᱠᱚᱞᱚᱢ, ᱡᱟᱦᱟᱸ ᱫᱚ 24 ᱮᱞ ᱛᱟᱲᱟᱣᱟ ᱟᱨ ½ ᱨᱮ 1 ᱮᱢᱟ (ᱡᱤᱛ $10 ᱨᱮ $5), ᱟᱨ 3 ᱨᱮ 1 ᱨᱮᱭᱟᱜ 9 ᱮᱞ ᱵᱟᱡᱤ, ᱡᱟᱦᱟᱸ ᱫᱚ ᱛᱤᱱᱟᱹᱜ ᱜᱟᱱ ᱤᱞᱮᱠᱴᱨᱚᱱᱤᱠ ᱟᱨ ᱠᱟᱨᱰ ᱠᱷᱮᱞ ᱨᱮ ᱢᱮᱱᱟᱜ-ᱟ᱾ ᱥᱤᱝᱜᱚᱞ ᱡᱤᱨᱚ ᱪᱟᱠᱟ ᱨᱮ ᱵᱟᱨᱭᱟ ᱨᱮᱭᱟᱜ ᱠᱷᱚᱨᱚᱪ 2.70%, ᱮᱴᱟᱜ ᱡᱚᱛᱚ ᱞᱮᱠᱟ ᱜᱮ᱾
ᱯᱷᱚᱨᱢᱩᱞᱟ
ᱠᱩᱠᱞᱤ ᱠᱚ
ᱵᱟᱝ᱾ ᱡᱤᱨᱚ ᱫᱚ ᱮᱴᱟᱜ ᱞᱮᱠᱟ ᱜᱮ ᱢᱤᱫ ᱠᱷᱟᱱᱟ: 35 ᱨᱮ 1᱾
ᱢᱟᱱᱚᱠ ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱴᱮᱵᱩᱞ ᱨᱮ ᱵᱟᱝ᱾ ᱜᱮᱢ ᱥᱚ ᱨᱩᱯ ᱠᱚ ᱨᱮ ᱜᱩᱬ ᱠᱚ ᱥᱮᱞᱮᱫᱚᱜ-ᱟ, ᱢᱮᱱᱠᱷᱟᱱ ᱚᱱᱟ ᱨᱮᱭᱟᱜ ᱜᱚᱱᱚᱝ ᱢᱩᱞ ᱵᱷᱩᱜᱛᱟᱱ 29 ᱨᱮ 1 ᱦᱟᱵᱤᱡ ᱠᱚᱢ ᱠᱟᱛᱮ ᱮᱢᱚᱜ-ᱟ᱾
ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱵᱟᱥᱠᱮᱴᱵᱟᱡᱤᱵᱟᱥᱠᱮᱴᱥᱤᱝᱜᱚᱞ ᱡᱤᱨᱚ ᱪᱟᱠᱟ ᱨᱮ: ᱢᱤᱫ ᱪᱤᱯ ᱛᱮ 0, 1, 2, 3, ᱵᱷᱩᱜᱛᱟᱱ 8:1᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱯᱟᱦᱤᱞ ᱯᱩᱱ, ᱠᱟᱛᱨ ᱯᱨᱮᱢᱤᱭᱮ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → 37 ᱠᱷᱚᱱ 4 ᱮ ᱛᱟᱲᱟᱣᱟ ᱟᱨ ᱯᱷᱚᱨᱢᱩᱞᱟ ᱮ ᱢᱟᱱᱟᱣᱟ᱾ ᱟᱢᱮᱨᱤᱠᱟᱱ 0-00-1-2-3 ᱫᱚ 38 ᱠᱷᱚᱱ 5 ᱮ ᱛᱟᱲᱟᱣᱟ ᱟᱨ 36/5 − 1 ᱫᱚ 6.2, ᱞᱟᱛᱟᱨ ᱛᱮ 6 ᱦᱟᱵᱤᱡ ᱜᱚᱞ: 7.89% ᱵᱟᱲᱛᱤ, ᱨᱩᱞᱮᱴ ᱨᱮᱭᱟᱜ ᱡᱚᱛᱚ ᱠᱷᱚᱱ ᱵᱷᱟᱜᱮ ᱵᱟᱝ ᱢᱟᱱᱚᱠ ᱵᱟᱡᱤ᱾
ᱞᱟᱸᱫᱟ ᱞᱟᱹᱜᱤᱫ ᱠᱚᱢᱤᱠ
36/n − 1᱾ ᱡᱚᱛᱚ ᱠᱟᱹᱢᱤ ᱫᱚ ᱚᱱᱟ ᱢᱤᱫ ᱜᱮ ᱠᱚᱨᱟᱣ ᱮᱫᱟ᱾
ᱯᱷᱮᱰᱟᱛ
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed.
- Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette.