ᱵᱟᱨ ᱵᱚᱞ ᱨᱩᱞᱮᱴ
ᱢᱤᱫ ᱪᱟᱠᱟ ᱨᱮ ᱵᱟᱨ ᱵᱚᱞ᱾ ᱵᱷᱤᱛᱤᱨ ᱵᱟᱡᱤᱵᱟᱡᱤᱵᱷᱤᱛᱤᱨ ᱵᱟᱡᱤᱡᱟᱹᱞᱤ ᱨᱮᱭᱟᱜ ᱮᱞ ᱪᱮᱛᱟᱱ ᱟᱨᱵᱟᱝ ᱛᱟᱞᱟ ᱨᱮ ᱫᱚᱦᱚ ᱡᱟᱦᱟᱸᱱ ᱵᱟᱡᱤ: ᱥᱴᱨᱮᱴ ᱚᱯ, ᱥᱯᱞᱤᱴ, ᱥᱴᱨᱤᱴ, ᱠᱚᱨᱱᱟᱨ, ᱥᱤᱠᱥ ᱞᱟᱭᱤᱱ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱞᱟᱹᱜᱤᱫ ᱢᱤᱫ ᱵᱚᱞ ᱞᱟᱹᱠᱛᱤᱭᱟ; ᱵᱟᱦᱨᱮ ᱵᱟᱡᱤ ᱞᱟᱹᱜᱤᱫ ᱵᱟᱨᱭᱟ᱾
ᱵᱟᱨ ᱵᱚᱞ ᱨᱩᱞᱮᱴ ᱨᱮ ᱵᱟᱨ ᱵᱚᱞ ᱢᱤᱫ ᱥᱟᱶ ᱧᱩᱨᱚᱜ-ᱟ ᱟᱨ ᱟᱡᱟᱫ ᱞᱮᱠᱟ ᱫᱩᱲᱩᱵᱚᱜ-ᱟ, ᱚᱱᱟᱛᱮ ᱛᱤᱱᱟᱹᱜ ᱫᱷᱟᱣ ᱢᱤᱫ ᱠᱷᱟᱱᱟ ᱨᱮ ᱵᱟᱨᱭᱟ ᱦᱤᱡᱩᱜ-ᱟ᱾ ᱵᱷᱤᱛᱤᱨ ᱵᱟᱡᱤ ᱫᱚ ᱡᱟᱦᱟᱸ ᱵᱚᱞ ᱦᱚᱸ ᱦᱤᱡᱩᱜ ᱠᱷᱟᱱ ᱡᱤᱛᱚᱜ-ᱟ, ᱥᱟᱫᱷᱟᱨᱚᱬ ᱵᱷᱩᱜᱛᱟᱱ ᱨᱮᱭᱟᱜ ᱟᱫᱷᱟ ᱨᱮ, ᱟᱨ ᱵᱟᱨᱭᱟ ᱦᱤᱡᱩᱜ ᱠᱷᱟᱱ ᱵᱟᱨ ᱫᱷᱟᱣ ᱵᱷᱩᱜᱛᱟᱱᱚᱜ-ᱟ᱾ ᱵᱟᱦᱨᱮ ᱵᱟᱡᱤ ᱫᱚ ᱵᱟᱨᱭᱟ ᱵᱚᱞ ᱢᱤᱫ ᱦᱟᱹᱴᱤᱧ ᱨᱮ ᱦᱤᱡᱩᱜ ᱠᱷᱟᱱ ᱜᱮ ᱡᱤᱛᱚᱜ-ᱟ, ᱚᱱᱟᱛᱮ ᱱᱚᱣᱟ ᱫᱚ ᱢᱤᱫ ᱵᱚᱞ ᱴᱮᱵᱩᱞ ᱠᱷᱚᱱ ᱵᱟᱨ ᱫᱷᱟᱣ ᱫᱟᱢᱤ ᱠᱟᱱᱟ᱾ ᱡᱮᱠᱯᱚᱴ ᱵᱟᱡᱤ ᱫᱚ ᱵᱟᱨᱭᱟ ᱵᱚᱞ ᱟᱯᱮᱭᱟᱜ ᱮᱞ ᱨᱮ ᱫᱩᱲᱩᱵ ᱠᱷᱟᱱ ᱵᱷᱩᱜᱛᱟᱱ ᱮᱫᱟ᱾
ᱵᱷᱤᱛᱤᱨ ᱵᱟᱡᱤ
ᱟᱯᱮᱭᱟᱜ ᱥᱴᱨᱮᱴ ᱚᱯᱵᱟᱡᱤᱥᱴᱨᱮᱴ ᱚᱯᱢᱤᱫ ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 35:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ ᱡᱟᱦᱟᱸ ᱵᱚᱞᱥᱟᱡ ᱥᱟᱢᱟᱱᱵᱚᱞᱨᱚᱴᱚᱨ ᱨᱮᱭᱟᱜ ᱩᱞᱴᱟᱹ ᱥᱮᱫ ᱴᱨᱮᱠ ᱨᱮ ᱜᱤᱰᱤ ᱦᱩᱰᱤᱧ ᱵᱚᱞ᱾ ᱱᱤᱛᱚᱜᱟᱜ ᱵᱚᱞ ᱫᱚ ᱟᱭᱣᱚᱨᱤᱱ ᱟᱨᱵᱟᱝ ᱴᱮᱯᱷᱞᱚᱱ ᱨᱮᱭᱟᱜ, 18–21 mm᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱦᱚᱸ ᱚᱱᱟ ᱨᱮ ᱫᱩᱲᱩᱵ ᱠᱷᱟᱱ ᱡᱤᱛᱚᱜ-ᱟ ᱟᱨ ᱡᱚᱛᱚ ᱵᱚᱞ ᱞᱟᱹᱜᱤᱫ 17 ᱨᱮ 1 ᱵᱷᱩᱜᱛᱟᱱ ᱮᱫᱟ, ᱚᱱᱟᱛᱮ ᱵᱟᱨᱭᱟ ᱫᱩᱲᱩᱵ ᱠᱷᱟᱱ 34 ᱨᱮ 1᱾ 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 1,369 ᱥᱚᱢᱟᱱ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱡᱩᱲᱤ ᱠᱷᱚᱱ 72 ᱨᱮ ᱢᱤᱫ ᱵᱚᱞ ᱟᱯᱮᱭᱟᱜ ᱮᱞ ᱨᱮ ᱫᱩᱲᱩᱵᱚᱜ-ᱟ ᱟᱨ 1 ᱨᱮ ᱵᱟᱨᱭᱟ ᱵᱚᱞ᱾ ᱵᱟᱡᱤ ᱫᱚ 72 × 17 + 34 = 1,258 ᱡᱤᱛᱚᱜ-ᱟ ᱟᱨ 1,296 ᱦᱟᱨᱟᱣᱚᱜ-ᱟ, 1,369 ᱨᱮ 38 ᱥᱩᱫᱽ ᱦᱟᱹᱱᱤ: 2.78% ᱵᱟᱲᱛᱤ, 2.70% ᱠᱷᱚᱱ ᱦᱩᱰᱤᱧ ᱵᱮᱥᱤ᱾ ᱵᱟᱨᱭᱟ ᱵᱚᱞ ᱦᱤᱡᱩᱜ ᱠᱷᱟᱱ 35 ᱨᱮ 1 ᱵᱷᱩᱜᱛᱟᱱ ᱫᱚ ᱱᱚᱣᱟ ᱥᱚᱡᱷᱮ 2.70% ᱨᱮ ᱨᱩᱣᱟᱹᱲ ᱟᱹᱜᱩ ᱫᱟᱲᱮᱭᱟᱜ-ᱟ᱾ ᱟᱫᱷᱟ ᱟᱠᱟᱱ ᱵᱷᱩᱜᱛᱟᱱᱴᱟᱠᱟᱵᱷᱩᱜᱛᱟᱱᱡᱤᱛ ᱵᱟᱡᱤ ᱪᱮᱫ ᱨᱩᱣᱟᱹᱲᱟ, ᱨᱩᱣᱟᱹᱲ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱪᱮᱛᱟᱱ “X ᱨᱮ 1” ᱞᱮᱠᱟ ᱨᱚᱲᱚᱜ-ᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ ᱵᱷᱤᱛᱤᱨ ᱛᱟᱹᱞᱤᱠᱟᱹ ᱨᱮ ᱞᱟᱛᱟᱨ ᱥᱮᱫ ᱩᱫᱩᱜ ᱢᱮᱱᱟᱜ-ᱟ᱾ ᱠᱚᱨᱱᱟᱨᱵᱟᱡᱤᱠᱚᱨᱱᱟᱨᱞᱮᱭᱟᱣᱴ ᱨᱮ ᱢᱤᱫ ᱠᱚᱬᱟ ᱥᱟᱡᱷᱟ ᱟᱠᱟᱱ ᱯᱩᱱ ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 8:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ ᱯᱷᱟᱸᱫ ᱠᱟᱱᱟ: 3 ᱨᱮ 1 ᱨᱮ ᱱᱚᱣᱟ ᱨᱮᱭᱟᱜ ᱠᱷᱚᱨᱚᱪ 14.7%, ᱡᱟᱦᱟᱸ ᱴᱷᱮᱱ ᱱᱤᱭᱟᱭ ᱫᱟᱢ ᱯᱟᱥᱮ 3.7 ᱨᱮ 1 ᱦᱩᱭᱩᱜ ᱛᱟᱦᱮᱸ ᱠᱟᱱᱟ᱾
ᱵᱟᱦᱨᱮ ᱵᱟᱡᱤ
ᱟᱨᱟᱜᱵᱟᱡᱤᱟᱨᱟᱜ18 ᱟᱨᱟᱜ ᱮᱞ ᱨᱮ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ᱾ ᱯᱷᱨᱮᱧᱪ ᱨᱮ: ᱨᱩᱡᱽ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱞᱟᱹᱜᱤᱫ ᱵᱟᱨᱭᱟ ᱵᱚᱞ ᱟᱨᱟᱜ ᱞᱟᱹᱠᱛᱤᱭᱟ: (18/37)² = 23.7%, 3 ᱨᱮ 1 ᱵᱷᱩᱜᱛᱟᱱ᱾ ᱵᱟᱡᱤ ᱫᱚ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ 4 × 23.7% = 94.7% ᱨᱩᱣᱟᱹᱲ ᱮᱫᱟ, 5.33% ᱵᱟᱲᱛᱤ, ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱮᱞ ᱠᱷᱚᱱ ᱵᱟᱨ ᱫᱷᱟᱣ᱾ ᱰᱚᱡᱮᱱᱵᱟᱡᱤᱰᱚᱡᱮᱱ1–12, 13–24 ᱟᱨᱵᱟᱝ 25–36, ᱵᱷᱩᱜᱛᱟᱱ 2:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱞᱟᱹᱜᱤᱫ ᱵᱟᱨᱭᱟ ᱵᱚᱞ ᱚᱱᱟ ᱨᱮ ᱞᱟᱹᱠᱛᱤᱭᱟ, (12/37)² = 10.5%, ᱟᱨ 8 ᱨᱮ 1 ᱵᱷᱩᱜᱛᱟᱱ ᱮᱫᱟ: ᱫᱩᱦᱲᱟᱹ 5.33%᱾ ᱢᱤᱫ ᱵᱚᱞ ᱟᱨᱟᱜ ᱟᱨ ᱮᱴᱟᱜ ᱦᱮᱸᱫᱮᱵᱟᱡᱤᱦᱮᱸᱫᱮ18 ᱦᱮᱸᱫᱮ ᱮᱞ ᱨᱮ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ᱾ ᱯᱷᱨᱮᱧᱪ ᱨᱮ: ᱱᱣᱟᱨ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱫᱩᱲᱩᱵ ᱨᱮᱭᱟᱜ ᱵᱟᱡᱤ ᱦᱚᱸ ᱚᱱᱟ ᱜᱮ, ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱨᱮ᱾ ᱯᱮᱭᱟ ᱨᱮᱭᱟᱜ ᱠᱷᱚᱨᱚᱪ 1 − (36/37)² = 5.33%, ᱡᱟᱦᱟᱸ ᱵᱟᱡᱤ ᱫᱚ ᱡᱤᱨᱚ ᱵᱟᱨ ᱫᱷᱟᱣ ᱯᱟᱨᱚᱢ ᱞᱟᱹᱠᱛᱤᱭᱟ ᱚᱱᱟ ᱨᱮᱭᱟᱜ ᱫᱟᱢ᱾
ᱚᱠᱟᱨᱮ ᱧᱟᱢᱚᱜ-ᱟ
ᱠᱷᱮᱞ ᱫᱚ 2013 ᱨᱮ ᱜᱞᱚᱵᱟᱞ ᱜᱮᱢᱤᱝ ᱮᱠᱥᱯᱳ ᱨᱮ ᱩᱫᱩᱜ ᱞᱮᱱᱟ ᱟᱨ 2014 ᱠᱷᱚᱱ ᱞᱟᱥ ᱵᱷᱮᱜᱟᱥ ᱨᱮᱭᱟᱜ ᱴᱨᱚᱯᱤᱠᱟᱱᱟ ᱨᱮ ᱰᱚᱵᱚᱞ ᱡᱤᱨᱚ ᱪᱟᱠᱟ ᱨᱮ ᱠᱷᱮᱞᱚᱜ ᱠᱟᱱᱟ᱾ ᱚᱱᱰᱮ ᱟᱨᱟᱜ ᱨᱮᱭᱟᱜ ᱠᱷᱚᱨᱚᱪ 10.25% ᱟᱨ 1,200 ᱨᱮ 1 ᱡᱮᱠᱯᱚᱴ ᱨᱮᱭᱟᱜ 16.83%᱾ ᱞᱟᱭᱤᱵᱷ ᱥᱴᱩᱰᱤᱭᱳ ᱫᱚ ᱥᱤᱝᱜᱚᱞ ᱡᱤᱨᱚ ᱨᱩᱯ ᱪᱟᱞᱟᱣ ᱮᱫᱟ ᱟᱨ ᱡᱮᱠᱯᱚᱴ ᱨᱮ 1,300 ᱨᱮ 1 ᱵᱷᱩᱜᱛᱟᱱ ᱮᱫᱟ᱾ ᱵᱚᱞ ᱠᱚ ᱫᱚ ᱪᱟᱯᱟᱣ ᱦᱟᱭᱣᱟ ᱛᱮ ᱢᱤᱫ ᱴᱤᱭᱩᱵ ᱠᱷᱚᱱ ᱧᱩᱨᱚᱜ-ᱟ, ᱦᱩᱰᱤᱧ ᱚᱠᱛᱚ ᱛᱟᱞᱟ ᱛᱮ; ᱵᱮᱱᱟᱣᱤᱭᱟᱹ ᱨᱮᱭᱟᱜ ᱯᱚᱨᱚᱠᱷ ᱨᱮ ᱧᱮᱞ ᱞᱮᱱᱟ ᱡᱮ ᱵᱚᱞ ᱠᱚ ᱢᱤᱫ ᱠᱷᱟᱱᱟᱥᱟᱡ ᱥᱟᱢᱟᱱᱠᱷᱟᱱᱟᱨᱚᱴᱚᱨ ᱨᱮᱭᱟᱜ 37 ᱮᱞ ᱚᱞ ᱠᱷᱟᱱᱟ ᱠᱷᱚᱱ ᱢᱤᱫ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱥᱞᱚᱴ, ᱠᱟᱯ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱞᱮᱠᱟ ᱜᱮ ᱦᱤᱡᱩᱜ ᱠᱟᱱᱟ᱾
ᱡᱚᱫᱤ ᱠᱷᱮᱞ ᱜᱮ ᱞᱟᱹᱠᱛᱤᱭᱟ, ᱪᱮᱫ ᱞᱮᱠᱟ
3% ᱠᱷᱚᱱ ᱠᱚᱢ ᱨᱮ ᱥᱴᱨᱮᱴ ᱚᱯ ᱟᱨ ᱥᱯᱞᱤᱴᱵᱟᱡᱤᱥᱯᱞᱤᱴᱵᱟᱨ ᱥᱟᱵᱟᱫ ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 17:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ ᱥᱟᱹᱨᱤ ᱦᱟᱹᱴᱤᱧ ᱠᱟᱱᱟ᱾ ᱵᱟᱦᱨᱮ ᱵᱟᱡᱤᱵᱟᱡᱤᱵᱟᱦᱨᱮ ᱵᱟᱡᱤᱡᱟᱹᱞᱤ ᱜᱷᱮᱨᱟᱣ ᱵᱟᱠᱥᱚ ᱨᱮ ᱵᱟᱡᱤ: ᱰᱚᱡᱮᱱ, ᱠᱚᱞᱚᱢ ᱟᱨ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮᱭᱟᱜ ᱠᱷᱚᱨᱚᱪ ᱫᱚ ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱴᱮᱵᱩᱞ ᱠᱷᱚᱱ ᱵᱟᱨ ᱫᱷᱟᱣ᱾ 3 ᱨᱮ 1 ᱨᱮ ᱠᱚᱨᱱᱟᱨ ᱫᱚ ᱟᱢᱮᱨᱤᱠᱟᱱ ᱪᱟᱠᱟ ᱨᱮᱭᱟᱜ ᱡᱟᱦᱟᱸᱱᱟᱜ ᱵᱟᱡᱤ ᱠᱷᱚᱱ ᱦᱚᱸ ᱵᱮᱥᱤ ᱫᱟᱢᱤ᱾ ᱡᱮᱠᱯᱚᱴ ᱵᱟᱡᱤ ᱫᱚ ᱢᱤᱫ ᱞᱚᱴᱟᱨᱤ ᱴᱤᱠᱤᱴ ᱠᱟᱱᱟ ᱡᱟᱦᱟᱸ ᱨᱮᱭᱟᱜ ᱫᱟᱢ ᱫᱚ ᱴᱮᱵᱩᱞ ᱪᱮᱛᱟᱱ ᱵᱷᱚᱨᱚᱥᱟ: 1,300 ᱨᱮ 1 ᱨᱮ 4.97%, 1,200 ᱨᱮ 12.27%᱾
ᱠᱩᱠᱞᱤ ᱠᱚ
ᱦᱮᱸ᱾ ᱩᱱᱤ ᱠᱤᱱ ᱫᱚ ᱟᱡᱟᱫ ᱞᱮᱠᱟ ᱫᱩᱲᱩᱵᱚᱜ ᱠᱟᱱᱟ, ᱚᱱᱟᱛᱮ ᱢᱤᱫ ᱠᱷᱟᱱᱟ ᱨᱮ ᱵᱟᱨᱭᱟ ᱫᱚ ᱟᱣᱥᱚᱛ ᱛᱮ 37 ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱢᱤᱫ ᱫᱷᱟᱣ ᱦᱤᱡᱩᱜ-ᱟ, ᱟᱨ ᱟᱯᱮ ᱵᱟᱪᱷᱟᱣ ᱟᱠᱟᱱ ᱠᱷᱟᱱᱟ ᱨᱮ ᱵᱟᱨᱭᱟ 1,369 ᱨᱮ ᱢᱤᱫ ᱫᱷᱟᱣ᱾ ᱡᱮᱠᱯᱚᱴ ᱵᱟᱡᱤ ᱫᱚ ᱱᱚᱣᱟ ᱞᱟᱹᱜᱤᱫ ᱜᱮ ᱵᱷᱩᱜᱛᱟᱱ ᱮᱫᱟ᱾
ᱪᱮᱫᱟᱜ ᱥᱮ 23.7% ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱞᱟᱹᱜᱤᱫ ᱱᱤᱭᱟᱭ ᱵᱷᱩᱜᱛᱟᱱ ᱫᱚ 3.22 ᱨᱮ 1 ᱠᱟᱱᱟ, ᱟᱨ ᱠᱮᱥᱤᱱᱳ ᱫᱚ ᱯᱷᱟᱨᱟᱠ ᱫᱚᱦᱚ ᱮᱫᱟ, ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ 5.33%᱾
ᱱᱤᱭᱟᱭ ᱫᱚ 1,368 ᱨᱮ 1 ᱦᱩᱭᱩᱜ ᱛᱟᱦᱮᱸ ᱠᱟᱱᱟ᱾ 1,300 ᱨᱮ ᱱᱚᱣᱟ ᱨᱮᱭᱟᱜ ᱠᱷᱚᱨᱚᱪ 4.97%, ᱚᱱᱟ ᱜᱮ ᱴᱮᱵᱩᱞ ᱨᱮ ᱟᱨᱟᱜ ᱠᱷᱚᱱ ᱦᱩᱰᱤᱧ ᱠᱚᱢ; 1,200 ᱨᱮ ᱠᱷᱚᱨᱚᱪ 12.27%᱾
ᱜᱚᱱᱤᱛ ᱥᱟᱶ ᱨᱟᱹᱥᱠᱟᱹ
ᱱᱚᱶᱟ ᱠᱚ ᱯᱩᱭᱞᱩ ᱟᱯᱮ ᱛᱮ ᱠᱩᱨᱩᱢᱩᱴᱩ ᱯᱮ᱾ ᱢᱤᱫ ᱢᱤᱫ ᱥᱚᱢᱟᱫᱷᱟᱱ ᱫᱚ ᱩᱠᱩ ᱢᱮᱱᱟᱜ-ᱟ; ᱛᱮᱭᱟᱨ ᱦᱩᱭ ᱠᱟᱛᱮ ᱡᱷᱤᱡᱽ ᱯᱮ᱾
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 ᱰᱚᱵᱚᱞ ᱵᱚᱞᱥᱟᱡ ᱥᱟᱢᱟᱱᱵᱚᱞᱨᱚᱴᱚᱨ ᱨᱮᱭᱟᱜ ᱩᱞᱴᱟᱹ ᱥᱮᱫ ᱴᱨᱮᱠ ᱨᱮ ᱜᱤᱰᱤ ᱦᱩᱰᱤᱧ ᱵᱚᱞ᱾ ᱱᱤᱛᱚᱜᱟᱜ ᱵᱚᱞ ᱫᱚ ᱟᱭᱣᱚᱨᱤᱱ ᱟᱨᱵᱟᱝ ᱴᱮᱯᱷᱞᱚᱱ ᱨᱮᱭᱟᱜ, 18–21 mm᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱩᱞᱮᱴ ᱨᱮ, ᱟᱨᱟᱜᱵᱟᱡᱤᱟᱨᱟᱜ18 ᱟᱨᱟᱜ ᱮᱞ ᱨᱮ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ᱾ ᱯᱷᱨᱮᱧᱪ ᱨᱮ: ᱨᱩᱡᱽ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱞᱟᱹᱜᱤᱫ ᱵᱟᱨᱭᱟ ᱵᱚᱞ ᱟᱨᱟᱜ ᱦᱩᱭᱩᱜ ᱞᱟᱹᱠᱛᱤᱭᱟ ᱟᱨ 3 ᱨᱮ 1 ᱵᱷᱩᱜᱛᱟᱱ ᱮᱢᱟ, ᱰᱚᱡᱮᱱᱵᱟᱡᱤᱰᱚᱡᱮᱱ1–12, 13–24 ᱟᱨᱵᱟᱝ 25–36, ᱵᱷᱩᱜᱛᱟᱱ 2:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱞᱟᱹᱜᱤᱫ ᱵᱟᱨᱭᱟ ᱵᱚᱞ ᱚᱱᱟ ᱨᱮ ᱦᱩᱭᱩᱜ ᱞᱟᱹᱠᱛᱤᱭᱟ ᱟᱨ 8 ᱨᱮ 1 ᱵᱷᱩᱜᱛᱟᱱ ᱮᱢᱟ, ᱟᱨ ᱢᱤᱫ ᱟᱨᱟᱜ ᱟᱨ ᱢᱤᱫ ᱦᱮᱸᱫᱮᱵᱟᱡᱤᱦᱮᱸᱫᱮ18 ᱦᱮᱸᱫᱮ ᱮᱞ ᱨᱮ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ᱾ ᱯᱷᱨᱮᱧᱪ ᱨᱮ: ᱱᱣᱟᱨ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱵᱟᱡᱤ ᱫᱚ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱷᱩᱜᱛᱟᱱ ᱮᱢᱟ᱾ ᱯᱮᱭᱟ ᱨᱮᱭᱟᱜ ᱜᱚᱱᱚᱝ ᱪᱮᱫᱟᱜ ᱴᱷᱤᱠ 5.33% ᱠᱟᱱᱟ?
ᱥᱚᱢᱟᱫᱷᱟᱱ ᱩᱫᱩᱜ
ᱛᱮᱞᱟ ᱡᱚᱛᱚ ᱜᱮ ᱡᱚᱛᱚ $1,369 ᱵᱟᱡᱤ ᱞᱟᱹᱜᱤᱫ $1,296 ᱨᱩᱣᱟᱹᱲ ᱮᱢᱟ: ᱵᱟᱨ ᱫᱷᱟᱣ ᱡᱤᱨᱚ ᱯᱟᱨᱚᱢ ᱨᱮᱭᱟᱜ ᱜᱚᱱᱚᱝ᱾
37 ᱠᱷᱟᱱᱟᱥᱟᱡ ᱥᱟᱢᱟᱱᱠᱷᱟᱱᱟᱨᱚᱴᱚᱨ ᱨᱮᱭᱟᱜ 37 ᱮᱞ ᱚᱞ ᱠᱷᱟᱱᱟ ᱠᱷᱚᱱ ᱢᱤᱫ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱥᱞᱚᱴ, ᱠᱟᱯ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱵᱟᱨ ᱵᱚᱞ ᱫᱚ 37 × 37 = 1,369 ᱢᱤᱫ ᱞᱮᱠᱟᱱ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱡᱩᱲᱤ ᱵᱮᱱᱟᱣᱟ᱾
ᱵᱟᱨᱭᱟ ᱵᱚᱞ ᱨᱮ ᱟᱨᱟᱜ: 18 × 18 = 324 ᱡᱩᱲᱤ᱾ 3 ᱨᱮ 1 ᱨᱮ ᱡᱤᱛ $1 ᱫᱚ $4 ᱨᱩᱣᱟᱹᱲ ᱮᱢᱟ, ᱚᱱᱟᱛᱮ ᱵᱟᱡᱤ ᱫᱚ 324 × 4 = 1,296 ᱨᱩᱣᱟᱹᱲ ᱮᱢᱟ᱾
ᱰᱚᱡᱮᱱ: 8 ᱨᱮ 1 ᱨᱮ 12 × 12 = 144 ᱡᱩᱲᱤ, $9 ᱨᱩᱣᱟᱹᱲ: 144 × 9 = 1,296᱾
ᱢᱤᱫ ᱟᱨᱟᱜ ᱟᱨ ᱢᱤᱫ ᱦᱮᱸᱫᱮ: ᱡᱚᱛᱚ ᱫᱷᱟᱨᱮ ᱛᱮ 18 × 18 ᱡᱩᱲᱤ, ᱡᱚᱛᱚ 648, ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱨᱮ, $2 ᱨᱩᱣᱟᱹᱲ: 648 × 2 = 1,296᱾
ᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱫᱚ $1,369 ᱵᱟᱡᱤ ᱞᱟᱹᱜᱤᱫ $1,296 ᱨᱩᱣᱟᱹᱲ ᱧᱟᱢᱟ᱾ ᱦᱟᱹᱱᱤ ᱫᱚ 73/1,369 = 5.33%᱾ ᱟᱨ 1,296 = 36 × 36: ᱡᱚᱛᱚ ᱵᱷᱩᱜᱛᱟᱱᱴᱟᱠᱟᱵᱷᱩᱜᱛᱟᱱᱡᱤᱛ ᱵᱟᱡᱤ ᱪᱮᱫ ᱨᱩᱣᱟᱹᱲᱟ, ᱨᱩᱣᱟᱹᱲ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱪᱮᱛᱟᱱ “X ᱨᱮ 1” ᱞᱮᱠᱟ ᱨᱚᱲᱚᱜ-ᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ ᱵᱟᱨᱭᱟ ᱵᱚᱞ ᱡᱤᱨᱚ ᱯᱟᱨᱚᱢ ᱞᱟᱹᱠᱛᱤ ᱞᱮᱠᱟ ᱵᱟᱸᱫᱷᱟᱣ ᱢᱮᱱᱟᱜ-ᱟ, ᱡᱟᱦᱟᱸ ᱫᱚ 1 − (36/37)²᱾ ᱰᱚᱵᱚᱞ ᱡᱤᱨᱚ ᱪᱟᱠᱟ ᱨᱮ ᱚᱱᱟ ᱜᱮ ᱦᱤᱥᱟᱹᱵ ᱫᱚ 1 − (36/38)² = 10.25% ᱮᱢᱟ᱾
ᱰᱚᱵᱚᱞ ᱵᱚᱞ ᱴᱮᱵᱩᱞ ᱨᱮ ᱢᱤᱫ ᱥᱴᱨᱮᱴ ᱚᱯᱵᱟᱡᱤᱥᱴᱨᱮᱴ ᱚᱯᱢᱤᱫ ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 35:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ ᱟᱯᱮᱭᱟᱜ ᱮᱞ ᱨᱮ ᱥᱮᱴᱮᱨ ᱡᱚᱛᱚ ᱵᱚᱞ ᱞᱟᱹᱜᱤᱫ 17 ᱨᱮ 1 ᱵᱷᱩᱜᱛᱟᱱ ᱮᱢᱟ, ᱚᱱᱟᱛᱮ ᱵᱟᱨᱭᱟ ᱥᱮᱴᱮᱨ ᱞᱮᱠᱷᱟᱱ 34 ᱨᱮ 1᱾ ᱥᱤᱝᱜᱚᱞ ᱡᱤᱨᱚ ᱪᱟᱠᱟ ᱨᱮ ᱱᱚᱣᱟ ᱨᱮᱭᱟᱜ ᱜᱚᱱᱚᱝ ᱪᱮᱫ, ᱟᱨ ᱪᱮᱫ ᱛᱮ ᱱᱚᱣᱟ ᱫᱚ 2.70% ᱨᱮ ᱨᱩᱣᱟᱹᱲᱚᱜ-ᱟ?
ᱥᱚᱢᱟᱫᱷᱟᱱ ᱩᱫᱩᱜ
ᱛᱮᱞᱟ 2.78%᱾ ᱵᱟᱨᱭᱟ ᱵᱚᱞ ᱥᱮᱴᱮᱨ ᱞᱮᱠᱷᱟᱱ 35 ᱨᱮ 1 ᱵᱷᱩᱜᱛᱟᱱ ᱫᱚ ᱱᱚᱣᱟ ᱴᱷᱤᱠ 2.70% ᱵᱮᱱᱟᱣᱟ᱾
1,369 ᱡᱩᱲᱤ ᱠᱷᱚᱱ, ᱟᱯᱮᱭᱟᱜ ᱮᱞ ᱫᱚ 36 ᱨᱮ ᱮᱠᱮᱱ ᱯᱟᱹᱦᱤᱞ ᱵᱚᱞ ᱨᱮ, 36 ᱨᱮ ᱮᱠᱮᱱ ᱵᱟᱨ ᱥᱟᱭ ᱵᱚᱞ ᱨᱮ, 1 ᱨᱮ ᱵᱟᱨᱭᱟ ᱨᱮ, ᱟᱨ 36 × 36 = 1,296 ᱨᱮ ᱡᱟᱦᱟᱱ ᱨᱮ ᱦᱚᱸ ᱵᱟᱝ᱾
ᱢᱤᱫ ᱵᱚᱞ: +17 ᱨᱮ 72 ᱡᱩᱲᱤ, ᱚᱱᱟᱛᱮ +1,224᱾ ᱵᱟᱨᱭᱟ ᱵᱚᱞ: +34 ᱨᱮ 1 ᱡᱩᱲᱤ᱾ ᱡᱟᱦᱟᱱ ᱦᱚᱸ ᱵᱟᱝ: −1 ᱨᱮ 1,296 ᱡᱩᱲᱤ᱾ ᱡᱚᱛᱚ: 1,224 + 34 − 1,296 = −38, 38/1,369 = 2.78% ᱵᱟᱲᱛᱤ᱾
ᱡᱩᱫᱤ ᱵᱟᱨ ᱥᱮᱴᱮᱨ ᱫᱚ 35 ᱨᱮ 1 ᱵᱷᱩᱜᱛᱟᱱ ᱮᱢ ᱠᱟᱜ-ᱟ, ᱡᱚᱛᱚ −37 ᱦᱩᱭᱩᱜ-ᱟ, ᱟᱨ 37/1,369 = 1/37 = 2.70%, ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱜᱚᱱᱚᱝ᱾ ᱠᱮᱥᱤᱱᱳ ᱫᱚ 1,369 ᱨᱮ ᱢᱤᱫ ᱵᱟᱹᱲᱛᱤ ᱭᱩᱱᱤᱴᱴᱟᱠᱟᱭᱩᱱᱤᱴᱢᱤᱫ ᱥᱤᱥᱴᱮᱢ ᱟᱨᱵᱟᱝ ᱠᱷᱮᱞᱚᱸᱰ ᱵᱮᱵᱷᱟᱨ ᱵᱮᱥ ᱵᱟᱡᱤ ᱴᱟᱠᱟ᱾ ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱ ᱠᱚ ᱭᱩᱱᱤᱴ ᱛᱮ ᱵᱩᱡᱷᱟᱹᱣᱚᱜ-ᱟ ᱡᱮᱢᱚᱱ ᱡᱟᱦᱟᱸᱱ ᱴᱮᱵᱩᱞ ᱨᱮ ᱞᱟᱹᱜᱩ ᱦᱩᱭᱩᱜ-ᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚᱦᱚᱭᱟ᱾
ᱞᱟᱸᱫᱟ ᱞᱟᱹᱜᱤᱫ ᱠᱚᱢᱤᱠ
ᱵᱷᱤᱛᱤᱨ ᱵᱟᱡᱤ ᱥᱟᱹᱨᱤ; ᱵᱟᱦᱨᱮ ᱵᱟᱡᱤ ᱫᱚ ᱵᱟᱨ ᱫᱷᱟᱣ ᱫᱟᱢ᱾
ᱯᱷᱮᱰᱟᱛ
- Wizard of Odds. “Double Ball Roulette.”
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.