ᱫᱷᱟᱯ ᱫᱷᱟᱯ: ᱢᱤᱫ ᱯᱷᱤᱵᱚᱱᱟᱪᱤ ᱪᱮᱛᱟᱱ ᱫᱮᱪ
ᱦᱮᱸᱫᱮᱵᱟᱡᱤᱦᱮᱸᱫᱮ18 ᱦᱮᱸᱫᱮ ᱮᱞ ᱨᱮ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ᱾ ᱯᱷᱨᱮᱧᱪ ᱨᱮ: ᱱᱣᱟᱨ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ 1, 1, 2, 3, 5, 8, 13 ᱵᱟᱡᱤ ᱴᱟᱠᱟ, ᱡᱤᱛ ᱛᱟᱭᱚᱢ ᱵᱟᱨ ᱫᱷᱟᱯ ᱛᱟᱭᱚᱢ᱾ ᱢᱤᱫ ᱞᱟᱦᱟᱜ ᱢᱟᱨᱴᱤᱝᱜᱮᱞ, ᱟᱨ ᱚᱱᱟᱨᱮᱭᱟᱜ ᱜᱟᱰᱟ ᱪᱮᱫ ᱞᱮᱠᱟ ᱦᱮᱡᱚᱜ-ᱟ᱾
ᱢᱤᱫ ᱭᱩᱱᱤᱴ $5 ᱛᱮ 90 ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮᱭᱟᱜ ᱢᱤᱫ ᱥᱤᱢᱩᱞᱮᱴ ᱯᱷᱤᱵᱚᱱᱟᱪᱤ ᱥᱮᱥᱚᱱ᱾ ᱵᱟᱨ ᱜᱮᱞ ᱪᱟᱠᱨᱚ ᱯᱩᱨᱟᱹᱣ ᱞᱮᱱᱟ, ᱢᱤᱫ ᱢᱤᱫ ᱨᱮ $5, ᱟᱨ ᱟᱨᱮᱭᱟᱜ ᱫᱷᱟᱯ ᱦᱟᱹᱵᱤᱡ ᱢᱤᱫ ᱠᱷᱟᱨᱟᱯ ᱫᱟᱹᱲ ($170 ᱵᱟᱡᱤ ᱴᱟᱠᱟ) ᱥᱮᱥᱚᱱ $340 ᱦᱟᱹᱱᱤ ᱨᱮ ᱵᱟᱹᱜᱤ ᱠᱮᱫᱟ᱾ ᱵᱟᱨ ᱫᱷᱟᱣ ᱠᱷᱚᱱ ᱞᱟᱞᱮᱡ, ᱡᱟᱦᱟᱸ ᱦᱟᱹᱵᱤᱡ ᱵᱟᱝ᱾
ᱥᱤᱨᱤᱡᱽ ᱛᱮ ᱥᱮᱱ ᱯᱮ
ᱦᱟᱹᱱᱤ ᱫᱚ ᱢᱤᱫ ᱫᱷᱟᱯ ᱡᱚᱡᱚᱢ ᱛᱮ ᱥᱟᱦᱮᱫ ᱮᱫᱟ᱾ ᱡᱤᱛ ᱫᱚ ᱵᱟᱨ ᱫᱷᱟᱯ ᱛᱟᱭᱚᱢ ᱛᱮ ᱥᱟᱦᱮᱫ ᱮᱫᱟ᱾
ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱟᱨ ᱨᱮᱡᱟᱞᱴ ᱫᱚ ᱢᱩᱞ ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ ᱭᱩᱱᱤᱴ ᱨᱮ ᱢᱮᱱᱟᱜ-ᱟ᱾
ᱡᱚᱡᱚᱢ
ᱯᱟᱦᱤᱞ ᱯᱷᱤᱵᱚᱱᱟᱪᱤᱥᱴᱨᱮᱴᱮᱡᱤᱯᱷᱤᱵᱚᱱᱟᱪᱤ1, 1, 2, 3, 5, 8, 13… ᱥᱤᱨᱤᱡᱽ ᱯᱟᱧᱡᱟ ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱ: ᱦᱟᱨᱟᱣ ᱛᱟᱭᱚᱢ ᱢᱤᱫ ᱫᱷᱟᱯ ᱞᱟᱦᱟ, ᱡᱤᱛ ᱛᱟᱭᱚᱢ ᱵᱟᱨ ᱫᱷᱟᱯ ᱛᱟᱭᱚᱢ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱮᱞ, $5 ᱵᱟᱡᱤ ᱞᱟᱜᱟᱣ ᱯᱮ᱾ ᱦᱟᱹᱱᱤ ᱛᱟᱭᱚᱢ ᱥᱤᱠᱣᱮᱱᱥ ᱨᱮ ᱢᱤᱫ ᱫᱷᱟᱯ ᱡᱚᱡᱚᱢ ᱥᱮᱫ ᱪᱟᱞᱟᱜ ᱯᱮ᱾ ᱡᱤᱛ ᱛᱟᱭᱚᱢ ᱵᱟᱨ ᱫᱷᱟᱯ ᱞᱮᱸᱜᱟ ᱥᱮᱫ ᱪᱟᱞᱟᱜ ᱯᱮ᱾ ᱟᱵᱚ ᱮᱦᱚᱵ ᱨᱮ ᱨᱩᱣᱟᱹᱲ ᱠᱟᱛᱮ ᱢᱤᱫ ᱭᱩᱱᱤᱴᱴᱟᱠᱟᱭᱩᱱᱤᱴᱢᱤᱫ ᱥᱤᱥᱴᱮᱢ ᱟᱨᱵᱟᱝ ᱠᱷᱮᱞᱚᱸᱰ ᱵᱮᱵᱷᱟᱨ ᱵᱮᱥ ᱵᱟᱡᱤ ᱴᱟᱠᱟ᱾ ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱ ᱠᱚ ᱭᱩᱱᱤᱴ ᱛᱮ ᱵᱩᱡᱷᱟᱹᱣᱚᱜ-ᱟ ᱡᱮᱢᱚᱱ ᱡᱟᱦᱟᱸᱱ ᱴᱮᱵᱩᱞ ᱨᱮ ᱞᱟᱹᱜᱩ ᱦᱩᱭᱩᱜ-ᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱞᱟᱵᱷ ᱨᱮ ᱛᱟᱦᱮᱸ ᱠᱷᱟᱱ ᱢᱤᱫ ᱪᱟᱠᱨᱚ ᱯᱩᱨᱟᱹᱣᱚᱜ-ᱟ᱾ ᱢᱟᱨᱴᱤᱝᱜᱮᱞᱥᱴᱨᱮᱴᱮᱡᱤᱢᱟᱨᱴᱤᱝᱜᱮᱞᱡᱚᱛᱚ ᱦᱟᱨᱟᱣ ᱛᱟᱭᱚᱢ ᱵᱟᱡᱤ ᱰᱚᱵᱚᱞ ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱ᱾ ᱱᱚᱶᱟ ᱪᱮᱫ ᱮ ᱠᱟᱹᱢᱤᱭᱟ ᱟᱨ ᱪᱮᱫ ᱵᱟᱭ ᱠᱟᱹᱢᱤᱭᱟ, ᱚᱱᱟ ᱥᱴᱨᱮᱴᱮᱡᱤ ᱦᱟᱹᱴᱤᱧ ᱨᱮ ᱧᱮᱞ ᱯᱮ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱛᱩᱞᱟᱹ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ×2 ᱵᱟᱝ ᱦᱮᱱᱫᱮ ×1.6 ᱛᱮ ᱪᱟᱲᱦᱟᱣᱚᱜ-ᱟ, ᱚᱱᱟᱛᱮ ᱜᱟᱰᱟ ᱫᱚ ᱟᱨᱦᱚᱸ ᱥᱟᱸᱦᱤᱡ ᱨᱮ ᱢᱮᱱᱟᱜ-ᱟ ᱟᱨ ᱨᱩᱣᱟᱹᱲ ᱪᱟᱲᱦᱟᱣ ᱫᱚ ᱟᱨᱦᱚᱸ ᱞᱟᱦᱟᱜ: ᱢᱤᱫ ᱡᱤᱛ ᱫᱚ ᱪᱟᱠᱨᱚ ᱵᱟᱝ ᱢᱩᱪᱟᱹᱫᱟ, ᱛᱟᱭᱚᱢ ᱫᱷᱟᱯ ᱜᱮ ᱛᱟᱭᱚᱢᱚᱜ-ᱟ᱾
ᱜᱷᱩᱨᱟᱹᱣ 1–40
ᱜᱮᱞ ᱢᱤᱫ ᱪᱟᱠᱨᱚ ᱯᱩᱨᱟᱹᱣ ᱞᱮᱱᱟ, ᱥᱟᱵᱟᱜ ᱡᱮᱞᱮᱧ ᱫᱚ ᱢᱚᱬᱮᱭᱟᱜ ᱫᱷᱟᱯ ($25) ᱦᱟᱹᱵᱤᱡ ᱥᱮᱴᱮᱨ ᱞᱮᱱᱟ᱾ ᱡᱚᱛᱚ ᱯᱩᱨᱟᱹᱣ ᱪᱟᱠᱨᱚ ᱫᱚ ᱴᱷᱤᱠ $5 ᱥᱩᱫᱽ ᱮᱢᱟ; ᱦᱤᱥᱟᱹᱵ ᱫᱚ ᱨᱟᱹᱥᱠᱟᱹ ᱟᱨ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱦᱩᱰᱤᱧ ᱜᱮ ᱛᱟᱦᱮᱸ ᱞᱮᱱᱟ᱾ ᱥᱩᱫᱽ +$55᱾ ᱱᱚᱶᱟ ᱫᱚ ᱵᱤᱱᱟᱹ ᱦᱚᱲᱵᱚᱲ ᱨᱮᱭᱟᱜ ᱢᱟᱨᱴᱤᱝᱜᱮᱞ ᱞᱮᱠᱟ ᱵᱩᱡᱷᱟᱹᱣᱚᱜ-ᱟ᱾
ᱜᱷᱩᱨᱟᱹᱣ 41–70
ᱜᱷᱩᱨᱟᱹᱣ 60 ᱦᱟᱹᱵᱤᱡ ᱟᱨᱦᱚᱸ ᱢᱚᱬᱮ ᱪᱟᱠᱨᱚ ᱯᱩᱨᱟᱹᱣᱚᱜ-ᱟ (+$25)᱾ ᱛᱟᱭᱚᱢ ᱵᱟᱝ ᱯᱩᱨᱟᱹᱣᱚᱜ ᱪᱟᱠᱨᱚ᱾ ᱦᱟᱹ ᱦᱟᱹ ᱦᱟᱹ ᱦᱟᱹ ᱦᱟᱹ ᱦᱟᱹ ᱦᱟᱹ ᱡᱤ ᱦᱟᱹ ᱦᱟᱹ: ᱵᱟᱡᱤ ᱴᱟᱠᱟ 5, 5, 10, 15, 25, 40, 65 (ᱮᱭᱟᱭ ᱦᱟᱹᱱᱤ, −$165), $105 ᱨᱮ ᱢᱤᱫ ᱡᱤᱛ (+$105, ᱵᱟᱨ ᱫᱷᱟᱯ ᱛᱟᱭᱚᱢ $40 ᱨᱮ), ᱛᱟᱭᱚᱢ $40 ᱟᱨ $65 ᱨᱮ ᱵᱟᱨ ᱦᱟᱹᱱᱤ᱾ ᱱᱤᱛ ᱟᱵᱚ ᱤᱨᱟᱹᱞᱟᱜ ᱫᱷᱟᱯ, $105 ᱨᱮ ᱢᱮᱱᱟᱵᱚᱭᱟ, ᱪᱟᱠᱨᱚ ᱨᱮ −$165 ᱥᱟᱶ, ᱟᱨ ᱫᱟᱨᱟᱭ ᱛᱮ ᱦᱟᱹᱱᱤ ᱫᱚ $200 ᱴᱮᱵᱩᱞ ᱥᱤᱢᱟᱹᱴᱮᱵᱩᱞᱴᱮᱵᱩᱞ ᱥᱤᱢᱟᱹᱦᱩᱠᱩᱢ ᱢᱮᱱᱟᱜ ᱠᱚᱢ ᱥᱮ ᱠᱚᱢ ᱟᱨ ᱵᱮᱥᱤ ᱥᱮ ᱵᱮᱥᱤ ᱵᱟᱡᱤ᱾ ᱵᱮᱥᱤ ᱥᱮ ᱵᱮᱥᱤ ᱥᱤᱢᱟᱹ ᱜᱮ ᱰᱚᱵᱚᱞ ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱ ᱵᱚᱸᱫᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱛᱩᱞᱟᱹ $170 ᱨᱮ ᱠᱩᱞ ᱟᱵᱚᱣᱟ᱾ ᱱᱚᱶᱟ ᱦᱟᱹᱴᱤᱧ ᱨᱮ ᱥᱩᱫᱽ −$140᱾
- p10 −$500
- p25 −$500
- ᱢᱤᱰᱤᱭᱟᱱ −$500
- p75 +$390
- p90 +$480
ᱜᱷᱩᱨᱟᱹᱣ 71–90
ᱦᱟᱹ ᱦᱟᱹ: $105 ᱟᱨ ᱛᱟᱭᱚᱢ $170 ᱦᱟᱨᱟᱣ, ᱟᱨ ᱪᱟᱠᱨᱚ ᱫᱚ −$440 ᱨᱮ ᱛᱟᱦᱮᱸᱱᱟ᱾ ᱫᱟᱨᱟᱭ ᱛᱮ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱫᱚ $275 ᱦᱩᱭᱩᱜ-ᱟ, ᱥᱤᱢᱟᱹ ᱠᱷᱚᱱ ᱵᱮᱥᱤ, ᱚᱱᱟᱛᱮ ᱜᱷᱩᱨᱟᱹᱣ 72 ᱨᱮ ᱟᱵᱚ ᱪᱟᱠᱨᱚ ᱵᱟᱹᱜᱤ ᱠᱟᱛᱮ $5 ᱠᱷᱚᱱ ᱫᱚᱦᱲᱟ ᱮᱦᱚᱵ ᱞᱮᱭᱟ᱾ ᱱᱚᱶᱟ ᱜᱮ ᱜᱟᱰᱟ ᱠᱟᱱᱟ᱾ ᱵᱟᱠᱤ ᱜᱮᱞ ᱤᱨᱟᱹᱞ ᱜᱷᱩᱨᱟᱹᱣ ᱟᱨᱦᱚᱸ ᱯᱩᱱ ᱪᱟᱠᱨᱚ ᱯᱩᱨᱟᱹᱣᱟ᱾ ᱢᱩᱪᱟᱹᱫ ᱨᱮ −$340; ᱠᱷᱮᱞ ᱯᱩᱸᱡᱤᱴᱟᱠᱟᱠᱷᱮᱞ ᱯᱩᱸᱡᱤᱠᱷᱮᱞ ᱞᱟᱹᱜᱤᱫ ᱟᱞᱟᱜ ᱫᱚᱦᱚ ᱟᱠᱟᱱ ᱡᱚᱛᱚ ᱴᱟᱠᱟ᱾ ᱠᱷᱮᱞ ᱯᱩᱸᱡᱤ ᱥᱟᱢᱵᱷᱟᱞ ᱫᱚ ᱢᱮᱱᱮᱛ ᱢᱤᱫ ᱵᱟᱡᱤ ᱟᱨ ᱢᱤᱫ ᱥᱮᱥᱚᱱ ᱨᱮ ᱚᱱᱟ ᱠᱷᱚᱱ ᱛᱤᱱᱟᱹᱜ ᱡᱚᱠᱷᱤᱢ ᱨᱮ ᱫᱚᱦᱚᱭ ᱚᱱᱟ ᱴᱷᱟᱹᱣᱠᱟᱹ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮᱭᱟᱜ ᱥᱟᱵᱟᱜ ᱞᱟᱛᱟᱨ ᱦᱟᱹᱴᱤᱧ ᱫᱚ −$360 ᱛᱟᱦᱮᱸ ᱠᱟᱱᱟ᱾
ᱦᱤᱥᱟᱹᱵ
ᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱡᱷᱚᱛᱚ $1,200, ᱢᱤᱫ ᱞᱮᱠᱟᱱ ᱵᱟᱡᱤ ᱨᱮ $450 ᱛᱩᱞᱟᱹ᱾ $1,200 ᱨᱮ ᱟᱸᱫᱟᱡᱽ ᱦᱟᱹᱱᱤᱜᱚᱱᱤᱛᱟᱸᱫᱟᱡᱽ ᱦᱟᱹᱱᱤᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝ ᱜᱩᱬ ᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱴᱟᱠᱟ; ᱢᱤᱫ ᱥᱮᱥᱚᱱ ᱟᱨᱵᱟᱝ ᱚᱠᱛᱚ ᱨᱮ ᱟᱣᱥᱚᱛ ᱛᱮ ᱦᱟᱨᱟᱣᱚᱜ ᱴᱟᱠᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → $32; ᱥᱟᱹᱨᱤ ᱨᱮ −$340 ᱫᱚ ᱡᱷᱚᱛᱚ ᱰᱮᱲ ᱥᱴᱮᱱᱰᱟᱨᱰ ᱰᱤᱵᱷᱤᱭᱮᱥᱚᱱᱜᱚᱱᱤᱛᱥᱴᱮᱱᱰᱟᱨᱰ ᱰᱤᱵᱷᱤᱭᱮᱥᱚᱱᱣᱮᱨᱤᱭᱮᱱᱥ ᱨᱮᱭᱟᱜ ᱵᱚᱜᱚ ᱢᱩᱞ; ᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝ ᱠᱷᱚᱱ ᱨᱮᱡᱟᱞᱴ ᱨᱮᱭᱟᱜ ᱥᱟᱫᱷᱟᱨᱚᱱ ᱥᱟᱦᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱞᱟᱛᱟᱨ, ᱢᱤᱫ ᱠᱷᱟᱨᱟᱯ ᱥᱮᱥᱚᱱ, ᱟᱨ ᱱᱚᱶᱟ ᱡᱮᱞᱮᱧ ᱨᱮ ᱯᱷᱤᱵᱚᱱᱟᱪᱤ ᱫᱚ ᱢᱚᱬᱮ ᱨᱮ ᱡᱷᱚᱛᱚ ᱢᱤᱫ ᱫᱷᱟᱣ ᱱᱚᱶᱟ ᱞᱮᱠᱟᱱ ᱥᱮᱥᱚᱱ ᱮ ᱵᱮᱱᱟᱣᱟ᱾ ᱯᱩᱨᱟᱹᱣ ᱪᱟᱠᱨᱚ ᱠᱚ ᱢᱤᱫ ᱢᱤᱫ ᱨᱮ $5 ᱠᱚ ᱮᱢ ᱞᱮᱫᱟ; ᱠᱷᱟᱨᱟᱯ ᱪᱟᱠᱨᱚ ᱫᱚ ᱩᱱᱠᱩ ᱠᱷᱚᱱ ᱤᱨᱟᱹᱞ ᱜᱮᱞ ᱤᱨᱟᱹᱞ ᱨᱮᱭᱟᱜ ᱠᱷᱚᱨᱚᱪ ᱠᱮᱫᱟ᱾
ᱥᱮᱥᱚᱱ ᱪᱮᱫ ᱩᱫᱩᱜ ᱮᱫᱟ
ᱯᱷᱤᱵᱚᱱᱟᱪᱤ ᱫᱚ ᱢᱟᱨᱴᱤᱝᱜᱮᱞ ᱨᱮᱭᱟᱜ ᱜᱟᱰᱟ ᱟᱭᱢᱟ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱮ ᱯᱟᱥᱱᱟᱣᱟ ᱟᱨ ᱟᱨᱦᱚᱸ ᱥᱟᱸᱦᱤᱡ ᱮ ᱞᱤᱵᱩᱫᱟ, ᱡᱟᱦᱟᱸ ᱫᱚ ᱱᱚᱶᱟ ᱵᱮᱥᱤ ᱨᱩᱠᱷᱤᱭᱟᱹ ᱟᱨ ᱵᱮᱥᱤ ᱵᱷᱩᱞᱟᱹᱣᱤᱭᱟᱹ ᱵᱟᱨᱭᱟ ᱜᱮ ᱵᱮᱱᱟᱣᱟ: ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ ᱥᱤᱠᱣᱮᱱᱥ ᱫᱚ ᱵᱟᱝ ᱴᱷᱤᱠᱚᱜ ᱵᱟᱡᱤ ᱦᱟᱹᱵᱤᱡ ᱴᱷᱤᱠ ᱞᱮᱠᱟ ᱧᱮᱞᱚᱜ-ᱟ᱾ ᱡᱚᱛᱚ ᱰᱚᱞᱟᱨ ᱨᱮ ᱟᱸᱫᱟᱡᱽ ᱦᱟᱹᱱᱤ ᱫᱚ ᱵᱟᱝ ᱵᱚᱫᱚᱞᱚᱜ-ᱟ; ᱪᱟᱲᱦᱟᱣ ᱠᱷᱚᱱ ᱵᱟᱹᱲᱛᱤ ᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱦᱤᱥᱟᱹᱵᱴᱟᱠᱟᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱦᱤᱥᱟᱹᱵᱢᱤᱫ ᱥᱮᱥᱚᱱ ᱟᱨᱵᱟᱝ ᱚᱠᱛᱚ ᱨᱮ ᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱴᱟᱠᱟ, ᱫᱚᱦᱲᱟ ᱞᱟᱜᱟᱣ ᱡᱤᱛ ᱴᱟᱠᱟ ᱥᱮᱞᱮᱫ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱦᱮᱱᱰᱮᱞ, ᱮᱠᱥᱚᱱ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱜᱮ ᱴᱟᱠᱟ ᱪᱟᱞᱟᱜ-ᱟ᱾
ᱠᱩᱠᱞᱤ ᱠᱚ
ᱪᱮᱫᱟᱜ ᱥᱮ ᱫᱷᱟᱯ n ᱨᱮ ᱡᱤᱛ ᱫᱚ ᱫᱷᱟᱯ n−1 ᱟᱨ n−2 ᱨᱮᱭᱟᱜ ᱦᱟᱹᱱᱤ ᱨᱩᱣᱟᱹᱲᱟ, ᱡᱟᱦᱟᱸ ᱥᱮᱞᱮᱫ ᱠᱟᱛᱮ ᱚᱱᱟ ᱜᱮ ᱦᱩᱭᱩᱜ-ᱟ᱾ ᱥᱤᱠᱣᱮᱱᱥ ᱫᱚ ᱱᱤᱭᱚᱢ ᱞᱟᱹᱜᱤᱫ ᱜᱮ ᱵᱮᱱᱟᱣ ᱢᱮᱱᱟᱜ-ᱟ᱾
ᱢᱤᱫ ᱜᱮ ᱞᱮᱠᱷᱟ ᱦᱟᱹᱱᱤ ᱞᱟᱹᱜᱤᱫ ᱵᱮᱥᱤ ᱥᱮ ᱵᱮᱥᱤ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱠᱚᱢ ᱜᱮ, ᱚᱱᱟᱛᱮ ᱦᱚᱭ, ᱛᱟᱭᱚᱢ ᱜᱟᱰᱟ ᱨᱮᱭᱟᱜ ᱟᱨᱛᱷ ᱨᱮ᱾ ᱟᱸᱫᱟᱡᱽ ᱫᱚ ᱢᱤᱫ ᱜᱮ᱾
$5 ᱭᱩᱱᱤᱴ ᱨᱮ ᱜᱮᱞ ᱵᱟᱨᱟᱜ: 5, 5, 10, 15, 25, 40, 65, 105, 170, 275, 445, ᱛᱟᱭᱚᱢ 720᱾
ᱞᱟᱸᱫᱟ ᱞᱟᱹᱜᱤᱫ ᱠᱚᱢᱤᱠ
ᱥᱚᱱᱟ ᱨᱮᱥᱤᱭᱳ ᱫᱚ 1.618᱾ ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤ ᱫᱚ ᱮᱱᱦᱚᱸ 2.70%᱾
ᱯᱷᱮᱰᱟᱛ
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.