ᱨᱩᱞᱮᱴ ᱵᱤᱡᱳᱲ / ᱡᱳᱲ ᱵᱟᱡᱤ
ᱨᱩᱞᱮᱴ ᱵᱤᱡᱳᱲ/ᱡᱳᱲ ᱵᱟᱡᱤ ᱫᱚ ᱜᱮᱞ ᱤᱨᱟᱹᱞ ᱵᱤᱡᱳᱲ ᱟᱨᱵᱟᱝ ᱜᱮᱞ ᱤᱨᱟᱹᱞ ᱡᱳᱲ ᱮᱞ ᱠᱚᱵᱷᱟᱨᱟ᱾ ᱡᱤᱨᱚ ᱫᱚ ᱡᱟᱦᱟᱱ ᱦᱚᱸ ᱵᱟᱝ ᱠᱟᱱᱟ᱾
1:1 ᱵᱷᱩᱜᱛᱟᱱ, ᱥᱚᱢᱵᱷᱟᱵᱱᱟᱜᱚᱱᱤᱛᱥᱚᱢᱵᱷᱟᱵᱱᱟᱢᱤᱫ ᱨᱮᱡᱟᱞᱴ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ, 0 ᱠᱷᱚᱱ 1 ᱟᱨᱵᱟᱝ 0% ᱠᱷᱚᱱ 100%᱾ ᱢᱤᱫ ᱮᱞ: 1/37 = 2.70%᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → 48.65%᱾ ᱟᱨᱟᱜ/ᱦᱮᱸᱫᱮ ᱞᱮᱠᱟ ᱜᱮ ᱚᱰᱥ᱾
ᱫᱚᱦᱚ ᱴᱷᱟᱶ
ᱵᱟᱦᱨᱮ ᱛᱷᱟᱨ ᱨᱮ, ᱰᱚᱡᱮᱱᱵᱟᱡᱤᱰᱚᱡᱮᱱ1–12, 13–24 ᱟᱨᱵᱟᱝ 25–36, ᱵᱷᱩᱜᱛᱟᱱ 2:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱟᱨ ᱨᱚᱝ ᱦᱤᱨᱟ ᱛᱟᱞᱟ ᱨᱮ “ᱡᱳᱲ” ᱟᱨ “ᱵᱤᱡᱳᱲ” ᱵᱟᱠᱥᱚ; ᱯᱷᱨᱮᱧᱪ ᱞᱮᱭᱟᱣᱴᱥᱟᱡ ᱥᱟᱢᱟᱱᱞᱮᱭᱟᱣᱴᱴᱮᱵᱩᱞ ᱪᱮᱛᱟᱱ ᱪᱷᱟᱯᱟ ᱵᱟᱡᱤ ᱡᱟᱹᱞᱤ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱴᱮᱵᱩᱞ, ᱯᱷᱮᱞᱴ, ᱠᱟᱯᱲᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱯᱮᱨ ᱟᱨ ᱟᱸᱯᱮᱨ᱾ ᱡᱚᱛᱚ ᱫᱚ ᱴᱮᱵᱩᱞ ᱨᱮᱭᱟᱜ ᱠᱚᱢ ᱥᱮ ᱠᱚᱢ ᱥᱤᱢᱟᱹ ᱯᱩᱨᱟᱹᱣ ᱞᱟᱹᱠᱛᱤ᱾
ᱨᱩᱞᱮᱴ ᱨᱮ ᱡᱤᱨᱚ ᱫᱚ ᱵᱤᱡᱳᱲ ᱥᱮ ᱡᱳᱲ?
ᱜᱚᱱᱤᱛ ᱨᱮ ᱡᱤᱨᱚᱪᱟᱠᱟᱡᱤᱨᱚᱢᱤᱫᱜᱮ ᱦᱟᱹᱨᱭᱟᱹᱲ ᱠᱷᱟᱱᱟ ᱡᱟᱦᱟᱸ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ, ᱰᱚᱡᱮᱱ ᱟᱨᱵᱟᱝ ᱠᱚᱞᱚᱢ ᱵᱟᱡᱤ ᱵᱟᱭ ᱠᱚᱵᱷᱟᱨᱟ; ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤ ᱨᱮᱭᱟᱜ ᱢᱩᱞ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱥᱤᱝᱜᱚᱞ ᱡᱤᱨᱚ, 0᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ ᱡᱳᱲ ᱠᱟᱱᱟ (ᱵᱟᱨ ᱛᱮ ᱦᱟᱹᱴᱤᱧᱚᱜ-ᱟ), ᱢᱮᱱᱠᱷᱟᱱ ᱨᱩᱞᱮᱴ ᱴᱮᱵᱩᱞ ᱨᱮ ᱵᱤᱡᱳᱲ ᱟᱨ ᱡᱳᱲ ᱵᱟᱨᱭᱟ ᱵᱟᱡᱤ ᱞᱟᱹᱜᱤᱫ ᱦᱟᱨᱟᱣᱚᱜ-ᱟ᱾ ᱞᱮᱭᱟᱣᱴ ᱫᱚ ᱡᱤᱨᱚ ᱡᱟᱦᱟᱱ ᱵᱟᱠᱥᱚ ᱨᱮ ᱵᱟᱝ ᱚᱞ ᱛᱮ ᱠᱩᱠᱞᱤ ᱢᱩᱪᱟᱹᱫᱟ᱾ ᱱᱟᱣᱟ ᱠᱷᱮᱞᱚᱸᱰ ᱠᱚ ᱢᱤᱫ ᱢᱤᱫ ᱡᱷᱚᱜ ᱱᱚᱶᱟ ᱵᱚᱵᱚᱛ ᱠᱚ ᱛᱚᱨᱠᱚᱭᱟ; ᱰᱤᱞᱟᱨ ᱠᱚ ᱫᱚ ᱱᱚᱶᱟ ᱞᱟᱦᱟ ᱠᱷᱚᱱ ᱟᱸᱡᱚᱢ ᱟᱠᱟᱫᱟ᱾
ᱵᱤᱡᱳᱲ/ᱡᱳᱲ ᱟᱨ ᱟᱨᱟᱜ/ᱦᱮᱸᱫᱮ
ᱜᱚᱱᱤᱛ ᱨᱮ ᱦᱩᱵᱟᱹᱦᱩ ᱢᱤᱫ ᱜᱮ: 18 ᱮᱞ, 1 ᱨᱮ 1, 48.65%᱾ ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ ᱵᱟᱨ ᱡᱩᱲᱤ ᱫᱚ ᱚᱠᱟ ᱜᱮᱞ ᱤᱨᱟᱹᱞ ᱮᱞ ᱠᱚ ᱠᱚᱵᱷᱟᱨᱟ ᱚᱱᱟ ᱨᱮ ᱜᱮ ᱯᱷᱟᱨᱟᱠ, ᱚᱱᱟᱛᱮ “ᱟᱨᱟᱜᱵᱟᱡᱤᱟᱨᱟᱜ18 ᱟᱨᱟᱜ ᱮᱞ ᱨᱮ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ᱾ ᱯᱷᱨᱮᱧᱪ ᱨᱮ: ᱨᱩᱡᱽ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱟᱨ ᱡᱳᱲ” ᱞᱮᱠᱟᱱ ᱢᱮᱥᱟ ᱫᱚ 28 ᱮᱞ ᱠᱚᱵᱷᱟᱨᱟ, ᱟᱨ ᱡᱟᱦᱟᱸ ᱤᱨᱟᱹᱞ ᱮᱞ ᱟᱨᱟᱜ ᱦᱚᱸ ᱟᱨ ᱡᱳᱲ ᱦᱚᱸ (12, 14, 16, 18, 30, 32, 34, 36) ᱩᱱᱠᱩ ᱨᱮ ᱰᱚᱵᱚᱞ ᱡᱤᱛ᱾ ᱵᱟᱡᱤ ᱵᱮᱱᱟᱣᱤᱡ ᱫᱚ ᱚᱱᱟ ᱞᱮᱠᱟᱱ ᱡᱟᱦᱟᱱ ᱥᱟᱹᱡᱷᱟ ᱦᱤᱥᱟᱹᱵ ᱫᱟᱲᱮᱭᱟᱜ-ᱟ᱾
ᱨᱩᱞᱮᱴ ᱨᱮ ᱵᱤᱡᱳᱲ ᱟᱨ ᱡᱳᱲ ᱮᱞ ᱨᱮᱭᱟᱜ ᱨᱚᱝ
ᱵᱤᱡᱳᱲ ᱟᱨ ᱟᱨᱟᱜ ᱫᱚ ᱢᱤᱫ ᱜᱮ ᱜᱮᱞ ᱤᱨᱟᱹᱞ ᱮᱞ ᱵᱟᱝ ᱠᱟᱱᱟ᱾ ᱵᱤᱡᱳᱲ ᱮᱞ ᱠᱷᱚᱱ ᱜᱮᱞ ᱟᱨᱟᱜ ᱟᱨ ᱤᱨᱟᱹᱞ ᱦᱮᱸᱫᱮᱵᱟᱡᱤᱦᱮᱸᱫᱮ18 ᱦᱮᱸᱫᱮ ᱮᱞ ᱨᱮ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ᱾ ᱯᱷᱨᱮᱧᱪ ᱨᱮ: ᱱᱣᱟᱨ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →: ᱟᱨᱟᱜ 1, 3, 5, 7, 9, 19, 21, 23, 25 ᱟᱨ 27; ᱦᱮᱸᱫᱮ 11, 13, 15, 17, 29, 31, 33 ᱟᱨ 35᱾ ᱡᱳᱲ ᱮᱞ ᱫᱚ ᱩᱞᱴᱟᱹ ᱦᱟᱹᱴᱤᱧᱚᱜ-ᱟ, ᱤᱨᱟᱹᱞ ᱟᱨᱟᱜ ᱟᱨ ᱜᱮᱞ ᱦᱮᱸᱫᱮ᱾ ᱚᱱᱟᱛᱮ ᱟᱨᱟᱜ ᱟᱨ ᱵᱤᱡᱳᱲ ᱫᱚ 26 ᱮᱞ ᱠᱚᱵᱷᱟᱨᱟ, ᱩᱱᱠᱩ ᱠᱷᱚᱱ ᱜᱮᱞ ᱵᱟᱨ ᱫᱷᱟᱣ, ᱟᱨ ᱟᱨᱟᱜ ᱟᱨ ᱡᱳᱲ ᱫᱚ 28 ᱠᱚᱵᱷᱟᱨᱟ᱾
ᱨᱩᱞᱮᱴ ᱵᱤᱡᱳᱲ/ᱡᱳᱲ ᱨᱮᱭᱟᱜ ᱵᱷᱩᱜᱛᱟᱱ ᱟᱨ ᱟᱸᱫᱟᱡᱽ
37 ᱠᱷᱚᱱ 18 ᱞᱟᱹᱜᱤᱫ ᱱᱤᱭᱟᱭ ᱚᱰᱥ ᱫᱚ 1.056 ᱨᱮ 1 ᱠᱟᱱᱟ; ᱴᱮᱵᱩᱞ ᱫᱚ 1 ᱜᱮ ᱮᱢᱟᱭ᱾ $10 ᱨᱮ ᱟᱣᱥᱚᱛ 37 ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱡᱳᱲ ᱨᱮᱭᱟᱜ ᱵᱟᱡᱤ ᱫᱚ 18 ᱫᱷᱟᱣ ᱡᱤᱛᱟᱹᱣᱚᱜ-ᱟ (+$180), ᱜᱮᱞ ᱤᱨᱟᱹᱞ ᱵᱤᱡᱳᱲ ᱮᱞ ᱴᱷᱮᱱ ᱦᱟᱨᱟᱣᱚᱜ-ᱟ (−$180) ᱟᱨ ᱢᱤᱫ ᱫᱷᱟᱣ ᱡᱤᱨᱚ ᱴᱷᱮᱱ ᱦᱟᱨᱟᱣᱚᱜ-ᱟ (−$10): $370 ᱵᱟᱡᱤ ᱨᱮ −$10, 2.70%᱾ ᱰᱚᱵᱚᱞ ᱡᱤᱨᱚ ᱪᱟᱠᱟ ᱨᱮ ᱦᱟᱨᱟᱣ ᱞᱟᱹᱜᱤᱫ ᱵᱟᱨ ᱡᱤᱨᱚ ᱢᱮᱱᱟᱜ-ᱟ, ᱟᱨ ᱜᱚᱱᱚᱝ ᱫᱚ $380 ᱨᱮ $20, 5.26%᱾
ᱪᱟᱠᱟ ᱨᱮ
ᱵᱤᱡᱳᱲ ᱟᱨ ᱡᱳᱲ ᱫᱚ ᱫᱷᱟᱨᱮ ᱜᱷᱮᱨᱟ ᱱᱚᱶᱟ ᱞᱮᱠᱟ ᱢᱮᱥᱟ ᱢᱮᱱᱟᱜ-ᱟ ᱡᱮ ᱡᱟᱦᱟᱱ ᱵᱟᱸᱠᱟ ᱦᱚᱸ ᱡᱟᱦᱟᱱ ᱥᱮᱫ ᱵᱟᱝ ᱦᱮᱞᱟᱣᱚᱜ-ᱟ᱾ ᱛᱷᱟᱨ ᱫᱚ ᱡᱩᱲᱤ ᱡᱩᱲᱤ ᱛᱮ ᱥᱟᱡᱟᱣ ᱢᱮᱱᱟᱜ-ᱟ: ᱪᱟᱠᱟ ᱧᱮᱞ ᱠᱟᱛᱮ, ᱟᱹᱰᱤ ᱜᱟᱱ ᱡᱷᱚᱜ ᱵᱟᱨ ᱵᱤᱡᱳᱲ ᱛᱟᱭᱚᱢ ᱵᱟᱨ ᱡᱳᱲ ᱦᱮᱡᱚᱜ-ᱟ᱾ ᱡᱚᱛᱚ ᱵᱟᱦᱨᱮ ᱵᱟᱡᱤᱵᱟᱡᱤᱵᱟᱦᱨᱮ ᱵᱟᱡᱤᱡᱟᱹᱞᱤ ᱜᱷᱮᱨᱟᱣ ᱵᱟᱠᱥᱚ ᱨᱮ ᱵᱟᱡᱤ: ᱰᱚᱡᱮᱱ, ᱠᱚᱞᱚᱢ ᱟᱨ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱞᱮᱠᱟ ᱱᱚᱶᱟ ᱦᱚᱸ ᱡᱟᱦᱟᱱ ᱥᱮᱠᱴᱚᱨᱪᱟᱠᱟᱥᱮᱠᱴᱚᱨᱪᱟᱠᱟ ᱨᱮ ᱛᱟᱭᱚᱢ ᱛᱟᱭᱚᱢ ᱠᱷᱟᱱᱟ ᱨᱮᱭᱟᱜ ᱢᱤᱫ ᱜᱩᱞᱟᱹᱭ ᱦᱟᱹᱴᱤᱧ, ᱞᱮᱭᱟᱣᱴ ᱨᱮᱭᱟᱜ ᱜᱩᱴᱤ ᱠᱷᱚᱱ ᱟᱞᱟᱜ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱵᱟᱝ ᱠᱚᱵᱷᱟᱨᱟ᱾
ᱯᱷᱨᱮᱧᱪ ᱱᱤᱭᱚᱢ
ᱞᱟ ᱯᱟᱨᱛᱟᱡᱽᱱᱤᱭᱚᱢᱞᱟ ᱯᱟᱨᱛᱟᱡᱽᱯᱷᱨᱮᱧᱪ ᱱᱤᱭᱚᱢ: ᱡᱤᱨᱚ ᱦᱤᱡᱩᱜ ᱞᱮᱠᱷᱟᱱ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ ᱟᱫᱷᱟ ᱨᱩᱣᱟᱹᱲᱚᱜ-ᱟ᱾ ᱚᱱᱟ ᱵᱟᱡᱤ ᱠᱚ ᱨᱮ ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤ ᱟᱫᱷᱟ, 1.35% ᱦᱩᱭᱩᱜ-ᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱥᱟᱶ, ᱡᱤᱨᱚ ᱦᱮᱡᱠᱷᱟᱱ ᱵᱤᱡᱳᱲ ᱟᱨᱵᱟᱝ ᱡᱳᱲ ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ ᱟᱫᱷᱟ ᱨᱩᱣᱟᱹᱲᱚᱜ-ᱟ, ᱟᱨ ᱜᱚᱱᱚᱝ ᱫᱚ 1.35% ᱦᱟᱹᱵᱤᱡ ᱠᱚᱢᱚᱜ-ᱟ᱾ ᱚᱸ ᱯᱨᱤᱡᱚᱸᱱᱤᱭᱚᱢᱚᱸ ᱯᱨᱤᱡᱚᱸᱯᱷᱨᱮᱧᱪ ᱱᱤᱭᱚᱢ: ᱡᱤᱨᱚ ᱦᱤᱡᱩᱜ ᱞᱮᱠᱷᱟᱱ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ ᱦᱟᱨᱟᱣ ᱵᱚᱫᱚᱞ ᱫᱟᱨᱟᱭ ᱛᱮ ᱜᱷᱩᱨᱟᱹᱣ ᱦᱟᱹᱵᱤᱡ ᱫᱚᱦᱚᱜ-ᱟ᱾ ᱚᱱᱟ ᱵᱟᱡᱤ ᱠᱚ ᱨᱮ ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤ ᱟᱫᱷᱟ ᱦᱩᱭᱩᱜ-ᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱥᱟᱶ ᱵᱟᱡᱤ ᱫᱚ ᱟᱨᱦᱚᱸ ᱢᱤᱫ ᱜᱷᱩᱨᱟᱹᱣ ᱞᱟᱹᱜᱤᱫ ᱞᱮᱭᱟᱣᱴ ᱨᱮ ᱛᱟᱦᱮᱸᱱᱟ: ᱡᱤᱛᱟᱹᱣᱠᱷᱟᱱ ᱡᱤᱛ ᱵᱮᱜᱚᱨ ᱨᱩᱣᱟᱹᱲᱚᱜ-ᱟ, ᱦᱟᱨᱟᱣᱠᱷᱟᱱ ᱤᱫᱤᱜ-ᱟ, ᱡᱟᱦᱟᱸ ᱫᱚ ᱡᱷᱟᱞᱟ ᱚᱱᱟ ᱜᱮ ᱜᱚᱱᱚᱝ ᱦᱩᱭᱩᱜ-ᱟ᱾ ᱡᱤᱨᱚ ᱫᱚ ᱡᱳᱲ ᱥᱮ ᱵᱟᱝ ᱚᱱᱟ ᱠᱩᱠᱞᱤ ᱫᱚ ᱡᱟᱦᱟᱸ ᱚᱠᱛᱚ ᱦᱚᱸ ᱵᱟᱝ ᱩᱛᱷᱟᱹᱣᱚᱜ-ᱟ, ᱪᱮᱫᱟᱜ ᱥᱮ ᱱᱤᱭᱚᱢ ᱫᱚ ᱯᱮᱨ ᱟᱨ ᱟᱸᱯᱮᱨ ᱢᱤᱫ ᱞᱮᱠᱟ ᱵᱮᱵᱷᱟᱨᱟ᱾
ᱦᱤᱥᱟᱹᱵ ᱥᱟᱶ ᱢᱤᱫ ᱟᱭᱩᱵ
100 ᱜᱷᱩᱨᱟᱹᱣ ᱞᱟᱹᱜᱤᱫ ᱵᱤᱡᱳᱲ ᱨᱮ $5 ᱫᱚ $500 ᱵᱟᱡᱤ ᱠᱟᱱᱟ, ᱟᱨ ᱟᱸᱫᱟᱡᱽ ᱦᱟᱹᱱᱤᱜᱚᱱᱤᱛᱟᱸᱫᱟᱡᱽ ᱦᱟᱹᱱᱤᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝ ᱜᱩᱬ ᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱴᱟᱠᱟ; ᱢᱤᱫ ᱥᱮᱥᱚᱱ ᱟᱨᱵᱟᱝ ᱚᱠᱛᱚ ᱨᱮ ᱟᱣᱥᱚᱛ ᱛᱮ ᱦᱟᱨᱟᱣᱚᱜ ᱴᱟᱠᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ $500 ÷ 37 = $13.51᱾ ᱚᱱᱟ ᱮᱞ ᱜᱷᱮᱨᱟ ᱥᱟᱫᱷᱟᱨᱚᱬ ᱩᱪᱟᱹᱲ ᱫᱷᱟᱹᱵᱤᱡ ᱫᱚ ᱡᱷᱟᱞᱟ $50 ᱠᱟᱱᱟ, ᱪᱮᱫᱟᱜ ᱥᱮ $5 ᱨᱮᱭᱟᱜ 100 ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤᱵᱟᱡᱤᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤᱟᱨᱟᱜ/ᱦᱮᱸᱫᱮ, ᱵᱤᱡᱳᱲ/ᱡᱳᱲ, ᱢᱟᱨᱟᱝ/ᱦᱩᱰᱤᱧ᱾ 18 ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 1:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮᱭᱟᱜ ᱥᱴᱮᱱᱰᱟᱨᱰ ᱰᱤᱵᱷᱤᱭᱮᱥᱚᱱᱜᱚᱱᱤᱛᱥᱴᱮᱱᱰᱟᱨᱰ ᱰᱤᱵᱷᱤᱭᱮᱥᱚᱱᱣᱮᱨᱤᱭᱮᱱᱥ ᱨᱮᱭᱟᱜ ᱵᱚᱜᱚ ᱢᱩᱞ; ᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝ ᱠᱷᱚᱱ ᱨᱮᱡᱟᱞᱴ ᱨᱮᱭᱟᱜ ᱥᱟᱫᱷᱟᱨᱚᱱ ᱥᱟᱦᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ 5 × √100 ᱠᱟᱱᱟ᱾ ᱡᱷᱟᱞᱟ ᱯᱮ ᱟᱭᱩᱵ ᱠᱷᱚᱱ ᱵᱟᱨ ᱫᱚ $64 ᱦᱟᱹᱱᱤ ᱟᱨ $36 ᱞᱟᱵᱷ ᱛᱟᱞᱟ ᱨᱮ ᱢᱩᱪᱟᱹᱫᱚᱜ-ᱟ᱾
ᱠᱩᱠᱞᱤ ᱠᱚ
ᱦᱮᱸ᱾ ᱵᱤᱡᱳᱲ/ᱡᱳᱲ ᱫᱚ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ ᱠᱟᱱᱟ ᱟᱨ ᱯᱷᱨᱮᱧᱪ ᱴᱮᱵᱩᱞ ᱨᱮ ᱡᱤᱨᱚ ᱦᱮᱡᱠᱷᱟᱱ ᱟᱫᱷᱟ ᱨᱩᱣᱟᱹᱲᱚᱜ-ᱟ᱾
ᱡᱟᱦᱟᱱ ᱜᱚᱱᱤᱛ ᱠᱟᱨᱚᱬ ᱵᱟᱹᱱᱩᱜ-ᱟ᱾ ᱛᱤᱱᱟᱹᱜ ᱠᱷᱮᱞᱚᱸᱰ ᱞᱟᱜᱟᱛᱟᱨ ᱡᱚᱠᱷᱤᱢ ᱦᱟᱹᱴᱤᱧ ᱞᱟᱹᱜᱤᱫ ᱵᱟᱨᱭᱟ ᱠᱚ ᱵᱮᱵᱷᱟᱨᱟ, ᱡᱟᱦᱟᱸ ᱫᱚ ᱡᱤᱛ ᱨᱮᱭᱟᱜ ᱦᱚᱨ ᱜᱮ ᱵᱚᱫᱚᱞᱟ, ᱩᱱᱠᱩᱣᱟᱜ ᱡᱚᱛᱚ ᱫᱚ ᱵᱟᱝ᱾
ᱜᱚᱱᱤᱛ ᱥᱟᱶ ᱨᱟᱹᱥᱠᱟᱹ
ᱱᱚᱶᱟ ᱠᱚ ᱯᱩᱭᱞᱩ ᱟᱯᱮ ᱛᱮ ᱠᱩᱨᱩᱢᱩᱴᱩ ᱯᱮ᱾ ᱢᱤᱫ ᱢᱤᱫ ᱥᱚᱢᱟᱫᱷᱟᱱ ᱫᱚ ᱩᱠᱩ ᱢᱮᱱᱟᱜ-ᱟ; ᱛᱮᱭᱟᱨ ᱦᱩᱭ ᱠᱟᱛᱮ ᱡᱷᱤᱡᱽ ᱯᱮ᱾
ᱢᱟᱨᱮ ᱞᱮᱭᱟᱣᱴᱥᱟᱡ ᱥᱟᱢᱟᱱᱞᱮᱭᱟᱣᱴᱴᱮᱵᱩᱞ ᱪᱮᱛᱟᱱ ᱪᱷᱟᱯᱟ ᱵᱟᱡᱤ ᱡᱟᱹᱞᱤ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱴᱮᱵᱩᱞ, ᱯᱷᱮᱞᱴ, ᱠᱟᱯᱲᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱛᱤᱱᱟᱹᱜ ᱫᱷᱟᱣ “ᱦᱩᱰᱤᱧ ᱟᱨ ᱡᱳᱲ” ᱥᱟᱶᱛᱮ ᱵᱟᱡᱤ ᱛᱟᱦᱮᱸᱱᱟ᱾ ᱮᱞ ᱫᱚ ᱦᱩᱰᱤᱧ (1 ᱠᱷᱚᱱ 18) ᱟᱨ ᱡᱳᱲ ᱵᱟᱨᱭᱟ ᱦᱩᱭ ᱠᱷᱟᱱ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱡᱤᱛᱟᱹᱣᱚᱜ ᱛᱟᱦᱮᱸᱱᱟ, ᱵᱟᱨᱭᱟ ᱵᱟᱝ ᱥᱮ ᱡᱤᱨᱚᱪᱟᱠᱟᱡᱤᱨᱚᱢᱤᱫᱜᱮ ᱦᱟᱹᱨᱭᱟᱹᱲ ᱠᱷᱟᱱᱟ ᱡᱟᱦᱟᱸ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ, ᱰᱚᱡᱮᱱ ᱟᱨᱵᱟᱝ ᱠᱚᱞᱚᱢ ᱵᱟᱡᱤ ᱵᱟᱭ ᱠᱚᱵᱷᱟᱨᱟ; ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤ ᱨᱮᱭᱟᱜ ᱢᱩᱞ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱥᱤᱝᱜᱚᱞ ᱡᱤᱨᱚ, 0᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱦᱩᱭ ᱠᱷᱟᱱ ᱦᱟᱨᱟᱣᱚᱜ ᱛᱟᱦᱮᱸᱱᱟ, ᱟᱨ ᱢᱤᱫᱴᱟᱹᱝ ᱦᱩᱭ ᱟᱨ ᱮᱴᱟᱜ ᱵᱟᱝ ᱦᱩᱭ ᱠᱷᱟᱱ ᱚᱱᱰᱮ ᱜᱮ ᱛᱟᱦᱮᱸᱱᱟ᱾ ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱪᱟᱠᱟ ᱨᱮ ᱚᱱᱟ ᱨᱮᱭᱟᱜ ᱠᱷᱚᱨᱚᱪ ᱪᱮᱫ ᱛᱟᱦᱮᱸᱱᱟ?
ᱥᱚᱢᱟᱫᱷᱟᱱ ᱩᱫᱩᱜ
ᱛᱮᱞᱟ ᱡᱚᱛᱚ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ 2.70%, ᱢᱮᱱᱠᱷᱟᱱ ᱥᱟᱹᱨᱤ ᱛᱮ ᱢᱤᱴᱟᱹᱣ ᱵᱟᱡᱤ ᱨᱮ 5.26%᱾
ᱠᱷᱟᱱᱟᱥᱟᱡ ᱥᱟᱢᱟᱱᱠᱷᱟᱱᱟᱨᱚᱴᱚᱨ ᱨᱮᱭᱟᱜ 37 ᱮᱞ ᱚᱞ ᱠᱷᱟᱱᱟ ᱠᱷᱚᱱ ᱢᱤᱫ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱥᱞᱚᱴ, ᱠᱟᱯ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱠᱚ ᱞᱮᱠᱷᱟ ᱯᱮ᱾ ᱦᱩᱰᱤᱧ ᱟᱨ ᱡᱳᱲ: 2, 4 … 18, ᱟᱨᱮ ᱮᱞ, ᱡᱤᱛ᱾ ᱢᱟᱨᱟᱝ ᱟᱨ ᱵᱤᱡᱳᱲ: 19, 21 … 35, ᱟᱨᱮ ᱮᱞ, ᱟᱨ ᱡᱤᱨᱚ, ᱡᱚᱛᱚ ᱢᱤᱫ ᱛᱮ ᱜᱮᱞ, ᱦᱟᱹᱱᱤ᱾ ᱮᱴᱟᱜ ᱜᱮᱞ ᱤᱨᱟᱹᱞ, ᱦᱩᱰᱤᱧ ᱟᱨ ᱵᱤᱡᱳᱲ ᱥᱮ ᱢᱟᱨᱟᱝ ᱟᱨ ᱡᱳᱲ, ᱵᱟᱡᱤ ᱚᱱᱰᱮ ᱜᱮ ᱠᱚ ᱫᱚᱦᱚᱭᱟ᱾
ᱡᱚᱛᱚ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱵᱟᱡᱤ 37 ᱨᱮ 9 ᱫᱷᱟᱣ ᱡᱤᱛᱟᱹᱣᱚᱜ-ᱟ ᱟᱨ 10 ᱦᱟᱨᱟᱣᱚᱜ-ᱟ: −1/37, ᱥᱟᱫᱷᱟᱨᱚᱬ 2.70%᱾ ᱢᱮᱱᱠᱷᱟᱱ 37 ᱠᱷᱚᱱ 18 ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱪᱮᱫ ᱦᱚᱸ ᱵᱟᱝ ᱦᱩᱭᱩᱜ-ᱟ᱾ ᱮᱠᱮᱞ ᱢᱤᱴᱟᱹᱣ ᱜᱷᱩᱨᱟᱹᱣ ᱠᱚ ᱞᱮᱠᱷᱟ ᱠᱟᱛᱮ, ᱵᱟᱡᱤ ᱫᱚ 19 ᱨᱮ 1 ᱭᱩᱱᱤᱴᱴᱟᱠᱟᱭᱩᱱᱤᱴᱢᱤᱫ ᱥᱤᱥᱴᱮᱢ ᱟᱨᱵᱟᱝ ᱠᱷᱮᱞᱚᱸᱰ ᱵᱮᱵᱷᱟᱨ ᱵᱮᱥ ᱵᱟᱡᱤ ᱴᱟᱠᱟ᱾ ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱ ᱠᱚ ᱭᱩᱱᱤᱴ ᱛᱮ ᱵᱩᱡᱷᱟᱹᱣᱚᱜ-ᱟ ᱡᱮᱢᱚᱱ ᱡᱟᱦᱟᱸᱱ ᱴᱮᱵᱩᱞ ᱨᱮ ᱞᱟᱹᱜᱩ ᱦᱩᱭᱩᱜ-ᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱦᱟᱨᱟᱣᱚᱜ-ᱟ, 5.26%, ᱟᱢᱮᱨᱤᱠᱟᱱ ᱜᱚᱱᱚᱝ᱾
ᱟᱢᱮᱨᱤᱠᱟᱱ ᱪᱟᱠᱟ ᱨᱮ, ᱦᱟᱹᱱᱤ ᱠᱚ ᱛᱟᱞᱟ ᱨᱮ 00 ᱥᱟᱶ, ᱡᱚᱛᱚ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ 5.26% ᱟᱨ ᱡᱚᱛᱚ ᱢᱤᱴᱟᱹᱣ ᱵᱟᱡᱤ ᱨᱮ 10% ᱠᱷᱚᱨᱚᱪ ᱦᱩᱭᱩᱜ-ᱟ᱾ ᱵᱚᱞᱢᱟᱱ (Bollman, 2024) ᱱᱚᱣᱟ ᱫᱚ ᱟᱡᱵ ᱡᱤᱱᱤᱥ ᱞᱮᱠᱟᱛᱮ ᱮ ᱮᱢ ᱟᱠᱟᱫᱟ᱾
ᱞᱟᱸᱫᱟ ᱞᱟᱹᱜᱤᱫ ᱠᱚᱢᱤᱠ
ᱡᱤᱨᱚ ᱫᱚ ᱡᱳᱲ ᱠᱟᱱᱟ᱾ ᱡᱤᱨᱚ ᱨᱮ ᱡᱳᱲ ᱦᱟᱨᱟᱣᱚᱜ-ᱟ᱾
ᱯᱷᱮᱰᱟᱛ
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.