ᱨᱩᱞᱮᱴ ᱜᱚᱱᱤᱛ · ᱵᱮᱵᱷᱟᱨ · 8 ᱢᱤᱱᱤᱴ

ᱨᱩᱞᱮᱴ ᱵᱚᱱᱟᱥ, ᱯᱨᱚᱢᱚᱥᱚᱱ ᱟᱨ ᱨᱤᱵᱮᱴ

ᱢᱮᱪᱯᱞᱮ ᱠᱩᱯᱚᱱ, ᱴᱟᱠᱟ ᱛᱮ ᱵᱟᱝ ᱵᱚᱫᱚᱞᱚᱜ ᱪᱤᱯ ᱟᱨ ᱦᱟᱹᱱᱤ ᱨᱮ ᱨᱩᱣᱟᱹᱲ ᱴᱟᱠᱟ ᱞᱮᱠᱟᱱ ᱨᱩᱞᱮᱴ ᱵᱚᱱᱟᱥ ᱠᱚ ᱫᱚ ᱠᱮᱥᱤᱱᱳ ᱠᱷᱚᱱ ᱠᱷᱮᱞᱚᱸᱰ ᱴᱷᱮᱱ ᱠᱚᱢ ᱴᱟᱠᱟ ᱠᱚ ᱥᱮᱞᱮᱫᱚᱜ-ᱟ᱾ ᱴᱷᱤᱠ ᱫᱟᱢ ᱦᱤᱥᱟᱹᱵ ᱠᱷᱟᱱ, ᱠᱤᱪᱷᱩ ᱫᱚ ᱪᱟᱠᱟ ᱡᱟᱦᱟᱸ ᱦᱟᱛᱟᱣᱟ ᱚᱱᱟ ᱠᱷᱚᱱ ᱵᱮᱥᱤ ᱜᱚᱱᱚᱝ ᱠᱟᱱᱟ᱾

ᱠᱷᱟᱴᱚ ᱛᱮᱞᱟ

ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱷᱩᱜᱛᱟᱱ ᱵᱟᱨ ᱫᱷᱟᱣ ᱵᱮᱱᱟᱣᱤᱡ ᱠᱩᱯᱚᱱ ᱫᱚ ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱪᱟᱠᱟ ᱨᱮ ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ ᱠᱚᱢ ᱵᱮᱥᱤ 46% ᱜᱚᱱᱚᱝ᱾ ᱢᱤᱫ ᱫᱷᱟᱣ ᱵᱮᱵᱷᱟᱨ ᱯᱨᱚᱢᱚᱥᱚᱱ ᱪᱤᱯ ᱫᱚ n ᱮᱞ ᱠᱚᱵᱷᱟᱨ ᱵᱟᱡᱤ ᱨᱮ ᱟᱡᱟᱜ ᱞᱮᱠᱷᱟ ᱨᱮᱭᱟᱜ (36 − n)/37 ᱜᱚᱱᱚᱝ: ᱥᱴᱨᱮᱴ ᱚᱯ ᱨᱮ 95%, ᱟᱨᱟᱜ ᱨᱮ 49%᱾ ᱥᱩᱫᱽ ᱦᱟᱹᱱᱤ ᱨᱮᱭᱟᱜ ᱟᱫᱷᱟ ᱨᱩᱣᱟᱹᱲ ᱞᱮᱠᱷᱟᱱ ᱟᱨᱟᱜ ᱨᱮᱭᱟᱜ ᱦᱩᱰᱤᱧ ᱥᱮᱥᱚᱱ ᱫᱚ ᱠᱷᱮᱞ ᱜᱚᱱᱚᱝ ᱦᱩᱭᱩᱜ-ᱟ᱾ ᱱᱚᱶᱟ ᱛᱮ ᱪᱟᱠᱟ ᱫᱚ ᱵᱟᱝ ᱵᱚᱫᱚᱞᱚᱜ-ᱟ; ᱠᱤᱭᱟᱹ ᱫᱟᱢ ᱮᱢᱟ ᱚᱱᱟ ᱜᱮ ᱵᱚᱫᱚᱞᱚᱜ-ᱟ᱾

ᱟᱨᱟᱜ ᱨᱮ ᱢᱮᱪᱯᱞᱮ ᱠᱩᱯᱚᱱ
ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ +45.9%
$100 ᱢᱤᱫ ᱫᱷᱟᱣ ᱪᱤᱯ, ᱥᱴᱨᱮᱴ ᱚᱯ
$94.59 ᱜᱚᱱᱚᱝ
ᱚᱱᱟ ᱜᱮ ᱪᱤᱯ ᱟᱨᱟᱜ ᱨᱮ
$48.65 ᱜᱚᱱᱚᱝ
ᱟᱨᱟᱜ ᱨᱮ 50% ᱦᱟᱹᱱᱤ ᱨᱤᱵᱮᱴ
25 ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱥᱟᱱᱟᱢ ᱠᱷᱚᱱ ᱵᱮᱥ

ᱯᱨᱚᱢᱚᱥᱚᱱ ᱫᱚ ᱪᱮᱫᱟᱜ ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤ ᱠᱷᱚᱱ ᱵᱮᱥᱤ ᱦᱩᱭ ᱫᱟᱲᱮᱭᱟᱜ-ᱟ

ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤᱜᱚᱱᱤᱛᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱠᱷᱚᱱ ᱠᱮᱥᱤᱱᱳ ᱟᱣᱥᱚᱛ ᱛᱮ ᱫᱚᱦᱚᱭ ᱦᱟᱹᱴᱤᱧ: ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱨᱩᱞᱮᱴ ᱨᱮ 2.70%᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ ᱢᱤᱫ ᱭᱩᱱᱤᱴᱴᱟᱠᱟᱭᱩᱱᱤᱴᱢᱤᱫ ᱥᱤᱥᱴᱮᱢ ᱟᱨᱵᱟᱝ ᱠᱷᱮᱞᱚᱸᱰ ᱵᱮᱵᱷᱟᱨ ᱵᱮᱥ ᱵᱟᱡᱤ ᱴᱟᱠᱟ᱾ ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱ ᱠᱚ ᱭᱩᱱᱤᱴ ᱛᱮ ᱵᱩᱡᱷᱟᱹᱣᱚᱜ-ᱟ ᱡᱮᱢᱚᱱ ᱡᱟᱦᱟᱸᱱ ᱴᱮᱵᱩᱞ ᱨᱮ ᱞᱟᱹᱜᱩ ᱦᱩᱭᱩᱜ-ᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ ᱫᱟᱢ ᱠᱟᱱᱟ: ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱪᱟᱠᱟ ᱨᱮ 2.70%᱾ ᱨᱩᱞᱮᱴ ᱵᱚᱱᱟᱥ ᱫᱚ ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ ᱢᱤᱫ ᱫᱷᱟᱨᱮ ᱴᱟᱠᱟ ᱥᱮᱞᱮᱫᱟ, ᱟᱨ ᱡᱩᱫᱤ ᱚᱱᱟ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ 2.70% ᱠᱷᱚᱱ ᱵᱮᱥᱤ ᱥᱮᱞᱮᱫᱟ, ᱯᱨᱚᱢᱚᱥᱚᱱ ᱛᱟᱦᱮᱸᱱ ᱦᱟᱹᱵᱤᱡ ᱚᱱᱟ ᱵᱟᱡᱤ ᱫᱚ ᱯᱚᱡᱤᱴᱤᱵᱷ᱾ ᱠᱮᱥᱤᱱᱳ ᱠᱚ ᱫᱚ ᱱᱚᱶᱟ ᱠᱚ ᱮᱢᱟ ᱜᱮᱭᱟ ᱪᱮᱫᱟᱜ ᱥᱮ ᱱᱚᱶᱟ ᱠᱚ ᱥᱤᱢᱟᱹ ᱢᱮᱱᱟᱜ-ᱟ: ᱢᱤᱫ ᱦᱤᱡᱩᱜ ᱨᱮ ᱢᱤᱫ ᱠᱩᱯᱚᱱ, ᱵᱟᱡᱤ ᱞᱟᱜᱟᱣ ᱫᱟᱲᱮᱭᱟᱜ ᱢᱮᱱᱠᱷᱟᱱ ᱴᱟᱠᱟ ᱛᱮ ᱵᱟᱝ ᱵᱚᱫᱚᱞᱚᱜ ᱪᱤᱯᱴᱟᱠᱟᱪᱤᱯᱛᱷᱤᱠ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ ᱪᱤᱱᱦᱟᱹ ᱴᱚᱠᱮᱱ, ᱵᱟᱡᱤ ᱞᱟᱹᱜᱤᱫ ᱞᱮᱭᱟᱣᱴ ᱨᱮ ᱫᱚᱦᱚᱜ-ᱟ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱪᱮᱠ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →, ᱟᱨ ᱨᱩᱣᱟᱹᱲ ᱴᱟᱠᱟ ᱠᱷᱟᱹᱞᱤ ᱟᱹᱰᱤ ᱵᱮᱥᱤ ᱦᱟᱨᱟᱣᱤᱡ ᱠᱷᱮᱞᱚᱸᱰ ᱠᱚ ᱞᱟᱹᱜᱤᱫ᱾ ᱦᱤᱥᱟᱹᱵ ᱫᱚ ᱱᱚᱶᱟ ᱥᱟᱭᱤᱴ ᱨᱮᱭᱟᱜ ᱮᱴᱟᱜ ᱡᱚᱛᱚ ᱴᱷᱟᱶ ᱞᱮᱠᱟ ᱜᱮ: ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱜᱩᱬ ᱵᱷᱩᱜᱛᱟᱱᱴᱟᱠᱟᱵᱷᱩᱜᱛᱟᱱᱡᱤᱛ ᱵᱟᱡᱤ ᱪᱮᱫ ᱨᱩᱣᱟᱹᱲᱟ, ᱨᱩᱣᱟᱹᱲ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱪᱮᱛᱟᱱ “X ᱨᱮ 1” ᱞᱮᱠᱟ ᱨᱚᱲᱚᱜ-ᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →, ᱡᱚᱛᱚ ᱨᱮᱡᱟᱞᱴ ᱨᱮ ᱡᱩᱲᱟᱹᱣ ᱟᱠᱟᱱ᱾

ᱢᱮᱪᱯᱞᱮ ᱠᱩᱯᱚᱱ

ᱢᱮᱪᱯᱞᱮ ᱠᱩᱯᱚᱱ ᱫᱚ ᱢᱤᱫ ᱱᱚᱜᱚᱫ ᱵᱟᱡᱤ ᱫᱷᱟᱨᱮ ᱫᱚᱦᱚᱜ-ᱟ ᱟᱨ ᱵᱟᱡᱤ ᱡᱤᱛ ᱠᱷᱟᱱ ᱵᱷᱩᱜᱛᱟᱱ ᱵᱟᱨ ᱫᱷᱟᱣ ᱮ ᱵᱮᱱᱟᱣᱟ; ᱡᱤᱛ ᱥᱮ ᱦᱟᱨᱟᱣ, ᱠᱩᱯᱚᱱ ᱫᱚ ᱠᱮᱥᱤᱱᱳ ᱜᱮ ᱫᱚᱦᱚᱭᱟ᱾ ᱵᱚᱞᱢᱟᱱ (Bollman) (2024) ᱫᱚ 2022 ᱨᱮᱭᱟᱜ ᱞᱟᱥ ᱵᱷᱮᱜᱟᱥ ᱨᱮᱭᱟᱜ ᱢᱤᱫ ᱠᱩᱯᱚᱱ ᱨᱮᱭᱟᱜ ᱫᱟᱢ ᱮ ᱦᱤᱥᱟᱹᱵ ᱞᱮᱫᱟ ᱡᱟᱦᱟᱸ ᱫᱚ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤᱵᱟᱡᱤᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤᱟᱨᱟᱜ/ᱦᱮᱸᱫᱮ, ᱵᱤᱡᱳᱲ/ᱡᱳᱲ, ᱢᱟᱨᱟᱝ/ᱦᱩᱰᱤᱧ᱾ 18 ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 1:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ $50 ᱦᱟᱹᱵᱤᱡ ᱢᱤᱞᱟᱹᱣ ᱮᱢ ᱛᱟᱦᱮᱸᱱᱟ᱾ ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱪᱟᱠᱟ ᱨᱮ, ᱠᱩᱯᱚᱱ ᱥᱟᱶ ᱟᱨᱟᱜᱵᱟᱡᱤᱟᱨᱟᱜ18 ᱟᱨᱟᱜ ᱮᱞ ᱨᱮ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ᱾ ᱯᱷᱨᱮᱧᱪ ᱨᱮ: ᱨᱩᱡᱽ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ $50 ᱫᱚ 18/37 ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱛᱮ $100 ᱡᱤᱛᱟᱹᱣᱟ ᱟᱨ 19/37 ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱛᱮ $50 ᱦᱟᱨᱟᱣᱟ: ᱟᱸᱫᱟᱡᱽ +$22.97, ᱥᱮ ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ 45.9%᱾ ᱟᱢᱮᱨᱤᱠᱟᱱ ᱪᱟᱠᱟ ᱨᱮ ᱱᱚᱶᱟ +$21.05, 42.1%᱾ ᱥᱴᱨᱮᱴ ᱚᱯᱵᱟᱡᱤᱥᱴᱨᱮᱴ ᱚᱯᱢᱤᱫ ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 35:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱚᱱᱟ ᱜᱮ ᱠᱩᱯᱚᱱ ᱫᱚ ᱵᱟᱨ ᱫᱷᱟᱣ ᱜᱚᱱᱚᱝ ᱦᱩᱭᱩᱜ-ᱟ, ᱚᱱᱟᱛᱮ ᱠᱩᱯᱚᱱ ᱫᱚ ᱠᱷᱟᱹᱞᱤ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ ᱞᱟᱹᱜᱤᱫ ᱜᱮ᱾

ᱵᱟᱡᱤᱡᱤᱛ ᱨᱮ ᱵᱷᱩᱜᱛᱟᱱᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱪᱟᱠᱟᱟᱢᱮᱨᱤᱠᱟᱱ ᱪᱟᱠᱟ
ᱟᱨᱟᱜ ᱨᱮ $50, ᱠᱩᱯᱚᱱ ᱵᱮᱜᱚᱨ$50−$1.35 (−2.70%)−$2.63 (−5.26%)
ᱟᱨᱟᱜ ᱨᱮ $50, ᱠᱩᱯᱚᱱ ᱥᱟᱶ$100+$22.97 (+45.9%)+$21.05 (+42.1%)
ᱠᱩᱯᱚᱱ ᱥᱟᱶ $50 ᱥᱴᱨᱮᱴ ᱚᱯ, ᱦᱩᱠᱩᱢ ᱛᱟᱦᱮᱸᱱ ᱠᱷᱟᱱ$3,500+$45.95 (+91.9%)+$43.42 (+86.8%)

ᱟᱢᱮᱨᱤᱠᱟᱱ ᱨᱩᱞᱮᱴ ᱪᱟᱠᱟ ᱟᱨ ᱱᱤᱭᱚᱢ

ᱴᱟᱠᱟ ᱛᱮ ᱵᱟᱝ ᱵᱚᱫᱚᱞᱚᱜ ᱪᱤᱯ

ᱯᱨᱚᱢᱚᱥᱚᱱ ᱪᱤᱯ, ᱡᱟᱦᱟᱸ ᱫᱚ ᱱᱚᱱ-ᱱᱮᱜᱚᱥᱤᱭᱮᱵᱚᱞ ᱪᱤᱯ ᱦᱚᱸ ᱢᱮᱱᱟᱜ-ᱟ, ᱚᱱᱟ ᱛᱮ ᱵᱟᱡᱤ ᱞᱟᱜᱟᱣ ᱫᱟᱲᱮᱭᱟᱜ-ᱟ ᱢᱮᱱᱠᱷᱟᱱ ᱴᱟᱠᱟ ᱛᱮ ᱵᱟᱝ ᱵᱚᱫᱚᱞᱚᱜ-ᱟ᱾ ᱥᱟᱫᱷᱟᱨᱚᱬ ᱱᱤᱭᱚᱢ ᱫᱚ ᱢᱤᱫ ᱫᱷᱟᱣ ᱵᱮᱵᱷᱟᱨ: ᱡᱤᱛ ᱵᱟᱡᱤ ᱫᱚ ᱥᱟᱫᱷᱟᱨᱚᱬ ᱪᱤᱯ ᱛᱮ ᱵᱷᱩᱜᱛᱟᱱ ᱮᱢᱚᱜ-ᱟ ᱟᱨ ᱯᱨᱚᱢᱚᱥᱚᱱ ᱪᱤᱯ ᱫᱚ ᱦᱟᱛᱟᱣᱚᱜ-ᱟ; ᱦᱟᱨᱟᱣ ᱵᱟᱡᱤ ᱦᱚᱸ ᱦᱟᱛᱟᱣᱚᱜ-ᱟ᱾ n ᱮᱞ ᱠᱚᱵᱷᱟᱨ ᱵᱟᱡᱤ ᱨᱮ $100 ᱪᱤᱯ ᱫᱚ n/37 ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱛᱮ (36 − n)/n × $100 ᱡᱤᱛᱟᱹᱣᱟ, ᱚᱱᱟᱛᱮ ᱚᱱᱟ ᱫᱚ ᱟᱡᱟᱜ ᱞᱮᱠᱷᱟ ᱨᱮᱭᱟᱜ (36 − n)/37 ᱜᱚᱱᱚᱝ᱾ ᱪᱤᱯ ᱨᱮᱭᱟᱜ ᱟᱡᱟᱜ ᱜᱚᱱᱚᱝ ᱫᱚ ᱡᱚᱠᱷᱚᱱ ᱦᱚᱸ ᱵᱟᱝ ᱨᱩᱣᱟᱹᱲᱚᱜ-ᱟ, ᱠᱷᱟᱹᱞᱤ ᱡᱤᱛ ᱜᱮ, ᱟᱨ ᱡᱟᱦᱟᱸ ᱵᱟᱡᱤ ᱫᱚ ᱠᱚᱢ ᱫᱷᱟᱣ ᱡᱤᱛᱟᱹᱣᱟ ᱢᱮᱱᱠᱷᱟᱱ ᱵᱮᱥᱤ ᱮᱢᱟ, ᱚᱱᱟ ᱥᱟᱱᱟᱢ ᱠᱷᱚᱱ ᱠᱚᱢ ᱦᱟᱨᱟᱣᱟ: ᱥᱴᱨᱮᱴ ᱚᱯ ᱨᱮ $94.59, ᱟᱨᱟᱜ ᱨᱮ $48.65᱾ ᱡᱟᱦᱟᱸ ᱴᱷᱟᱶ ᱨᱮ ᱪᱤᱯ ᱫᱚ ᱦᱟᱨᱟᱣ ᱦᱟᱹᱵᱤᱡ ᱞᱮᱭᱟᱣᱴᱥᱟᱡ ᱥᱟᱢᱟᱱᱞᱮᱭᱟᱣᱴᱴᱮᱵᱩᱞ ᱪᱮᱛᱟᱱ ᱪᱷᱟᱯᱟ ᱵᱟᱡᱤ ᱡᱟᱹᱞᱤ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱴᱮᱵᱩᱞ, ᱯᱷᱮᱞᱴ, ᱠᱟᱯᱲᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱛᱟᱦᱮᱸᱱ ᱫᱟᱲᱮᱭᱟᱜ-ᱟ, ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ ᱫᱚ ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱪᱟᱠᱟ ᱨᱮ ᱟᱡᱟᱜ ᱞᱮᱠᱷᱟ ᱨᱮᱭᱟᱜ 18/19 ᱟᱨ ᱟᱢᱮᱨᱤᱠᱟᱱ ᱨᱮ 9/10 ᱜᱚᱱᱚᱝ (ᱵᱚᱞᱢᱟᱱ, 2024)᱾

ᱵᱟᱡᱤᱮᱞ$100 ᱢᱤᱫ ᱫᱷᱟᱣ ᱪᱤᱯ ᱨᱮᱭᱟᱜ ᱜᱚᱱᱚᱝ
ᱥᱴᱨᱮᱴ ᱚᱯ1$94.59
ᱥᱯᱞᱤᱴ2$91.89
ᱥᱴᱨᱤᱴ3$89.19
ᱠᱚᱨᱱᱟᱨ4$86.49
ᱥᱤᱠᱥ ᱞᱟᱭᱤᱱ6$81.08
ᱰᱚᱡᱮᱱ12$64.86
ᱟᱨᱟᱜ18$48.65

ᱪᱤᱯ ᱠᱚ ᱱᱚᱜᱚᱫ ᱛᱮ ᱵᱚᱫᱚᱞ

ᱜᱚᱱᱚᱝ ᱫᱚ ᱢᱤᱫ ᱟᱣᱥᱚᱛ ᱠᱟᱱᱟ; ᱡᱟᱦᱟᱸ ᱠᱷᱮᱞᱚᱸᱰ ᱵᱷᱚᱨᱥᱟ ᱛᱮ ᱴᱟᱠᱟ ᱥᱟᱱᱟᱭ ᱟᱭ, ᱩᱱᱤ ᱫᱚ ᱦᱮᱡᱤᱝ ᱛᱮ ᱚᱱᱟ ᱠᱤᱨᱤᱧ ᱫᱟᱲᱮᱭᱟᱜ-ᱟᱭ᱾ ᱵᱚᱞᱢᱟᱱ ᱨᱮᱭᱟᱜ ᱫᱟᱹᱭᱠᱟᱹ ᱫᱚ ᱢᱟᱦᱟᱸ ᱞᱟᱦᱟ ᱨᱮᱭᱟᱜ ᱵᱷᱮᱜᱟᱥ ᱣᱟᱨᱞᱰ (Vegas World) ᱠᱮᱥᱤᱱᱳ ᱠᱷᱚᱱ: ᱟᱢᱮᱨᱤᱠᱟᱱ ᱪᱟᱠᱟ ᱨᱮ $1,000 ᱨᱮᱭᱟᱜ ᱢᱤᱫ ᱫᱷᱟᱣ ᱪᱤᱯ, ᱟᱨᱟᱜ ᱨᱮ $500 ᱟᱨ ᱦᱮᱸᱫᱮᱵᱟᱡᱤᱦᱮᱸᱫᱮ18 ᱦᱮᱸᱫᱮ ᱮᱞ ᱨᱮ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ᱾ ᱯᱷᱨᱮᱧᱪ ᱨᱮ: ᱱᱣᱟᱨ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ $500, ᱟᱨ 0 ᱟᱨ 00 ᱨᱮ ᱢᱤᱫ ᱢᱤᱫ ᱨᱮ $20 ᱱᱚᱜᱚᱫ᱾ ᱟᱨᱟᱜ ᱥᱮ ᱦᱮᱸᱫᱮ $500 ᱡᱤᱛᱟᱹᱣᱟ ᱟᱨ $40 ᱱᱚᱜᱚᱫ ᱦᱟᱨᱟᱣᱟ: +$460᱾ ᱡᱤᱨᱚᱪᱟᱠᱟᱡᱤᱨᱚᱢᱤᱫᱜᱮ ᱦᱟᱹᱨᱭᱟᱹᱲ ᱠᱷᱟᱱᱟ ᱡᱟᱦᱟᱸ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ, ᱰᱚᱡᱮᱱ ᱟᱨᱵᱟᱝ ᱠᱚᱞᱚᱢ ᱵᱟᱡᱤ ᱵᱟᱭ ᱠᱚᱵᱷᱟᱨᱟ; ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤ ᱨᱮᱭᱟᱜ ᱢᱩᱞ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱥᱤᱝᱜᱚᱞ ᱡᱤᱨᱚ, 0᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱵᱟᱨᱭᱟ ᱪᱤᱯ ᱦᱟᱨᱟᱣᱚᱜ-ᱟ ᱟᱨ ᱱᱚᱜᱚᱫ ᱨᱮ $700 ᱵᱷᱩᱜᱛᱟᱱ: +$680᱾ ᱠᱷᱮᱞᱚᱸᱰ ᱫᱚ ᱠᱚᱢ ᱥᱮ ᱠᱚᱢ $460 ᱮ ᱫᱚᱦᱚᱭᱟ, ᱟᱨ ᱟᱣᱥᱚᱛ, $471.58, ᱫᱚ ᱠᱷᱟᱹᱞᱤ ᱟᱨᱟᱜ ᱨᱮ ᱪᱤᱯ ᱨᱮᱭᱟᱜ ᱜᱚᱱᱚᱝ ᱨᱮᱭᱟᱜ 99.6%᱾ ᱡᱟᱦᱟᱸ ᱴᱷᱟᱶ ᱨᱮ ᱱᱤᱭᱚᱢ ᱫᱚ ᱢᱤᱫ ᱮᱞ ᱨᱮ ᱪᱤᱯ ᱦᱩᱠᱩᱢ ᱮᱢᱟ, ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱪᱟᱠᱟ ᱫᱚ ᱵᱮᱥ ᱦᱮᱡᱤᱝ ᱮᱢᱟ: ᱡᱚᱛᱚ 36 ᱮᱞ ᱨᱮ $25 ᱪᱤᱯ ($900) ᱟᱨ ᱡᱤᱨᱚ ᱨᱮ $25 ᱱᱚᱜᱚᱫ᱾ ᱡᱟᱦᱟᱸ ᱮᱞ ᱦᱚᱸ ᱩᱫᱩᱜ, $875 ᱵᱷᱩᱜᱛᱟᱱ ᱮᱢᱚᱜ-ᱟ, ᱟᱨ ᱡᱤᱨᱚ ᱨᱮᱭᱟᱜ ᱱᱚᱜᱚᱫ ᱫᱚ ᱦᱟᱨᱟᱣᱚᱜ-ᱟ ᱡᱩᱫᱤ ᱡᱤᱨᱚ ᱜᱮ ᱵᱟᱝ ᱩᱫᱩᱜ ᱠᱷᱟᱱ, ᱚᱱᱟᱛᱮ ᱠᱷᱮᱞᱚᱸᱰ ᱫᱚ ᱠᱚᱢ ᱥᱮ ᱠᱚᱢ $850 ᱮ ᱫᱚᱦᱚᱭᱟ, ᱪᱤᱯ ᱨᱮᱭᱟᱜ ᱞᱮᱠᱷᱟ ᱨᱮᱭᱟᱜ 94%, ᱡᱟᱦᱟᱱᱟᱜ ᱡᱚᱠᱷᱤᱢ ᱵᱮᱜᱚᱨ᱾

ᱢᱤᱫ ᱫᱷᱟᱣ ᱪᱤᱯ ᱫᱚ ᱟᱨᱟᱜ ᱟᱨ ᱦᱮᱸᱫᱮ ᱠᱚᱵᱷᱟᱨᱟ, ᱟᱨ ᱦᱩᱰᱤᱧ ᱱᱚᱜᱚᱫ ᱵᱟᱡᱤ ᱫᱚ ᱵᱟᱨᱭᱟ ᱡᱤᱨᱚ ᱠᱚᱵᱷᱟᱨᱟ᱾

ᱨᱩᱞᱮᱴ ᱥᱯᱨᱮᱰ ᱵᱟᱡᱤ ᱟᱨ ᱦᱮᱡᱤᱝ

ᱦᱟᱹᱱᱤ ᱨᱮ ᱨᱩᱣᱟᱹᱲ ᱴᱟᱠᱟ

ᱢᱟᱨᱟᱝ ᱵᱟᱡᱤ ᱠᱷᱮᱞᱚᱸᱰ ᱠᱚ ᱫᱚ ᱟᱭᱢᱟ ᱫᱷᱟᱣ ᱨᱤᱵᱮᱴ ᱠᱚ ᱧᱟᱢᱟ: ᱢᱟᱱᱚᱛ ᱟᱠᱟᱱ ᱥᱮᱥᱚᱱ ᱢᱩᱪᱟᱹᱫ ᱨᱮ ᱩᱱᱠᱩᱣᱟᱜ ᱥᱩᱫᱽ ᱦᱟᱹᱱᱤ ᱨᱮᱭᱟᱜ ᱦᱟᱹᱴᱤᱧ ᱨᱩᱣᱟᱹᱲ᱾ ᱨᱤᱵᱮᱴ ᱫᱚ ᱠᱷᱟᱹᱞᱤ ᱦᱟᱨᱟᱣ ᱨᱮ ᱜᱮ ᱮᱢᱚᱜ-ᱟ, ᱚᱱᱟᱛᱮ ᱡᱚᱠᱷᱚᱱ ᱨᱮᱡᱟᱞᱴ ᱟᱹᱰᱤ ᱪᱮᱛᱟᱱ-ᱞᱟᱛᱟᱨ ᱦᱩᱭᱩᱜ-ᱟ ᱟᱨ ᱥᱮᱥᱚᱱ ᱫᱚ ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤ ᱥᱟᱦᱟ ᱞᱟᱦᱟ ᱨᱮ ᱢᱩᱪᱟᱹᱫᱚᱜ-ᱟ, ᱚᱱᱟ ᱚᱠᱛᱚ ᱵᱮᱥᱤ ᱜᱚᱱᱚᱝ᱾ ᱮᱯᱥᱴᱟᱭᱤᱱ (Epstein) (2013) ᱫᱚ ᱟᱢᱮᱨᱤᱠᱟᱱ ᱪᱟᱠᱟ ᱞᱟᱹᱜᱤᱫ ᱦᱤᱥᱟᱹᱵ ᱮ ᱠᱟᱹᱢᱤ ᱞᱮᱫᱟ; ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱞᱟᱹᱜᱤᱫ ᱟᱞᱮᱭᱟᱜ ᱮᱞ ᱠᱚ ᱞᱟᱛᱟᱨ ᱨᱮ᱾ ᱥᱩᱫᱽ ᱦᱟᱹᱱᱤ ᱨᱮᱭᱟᱜ ᱟᱫᱷᱟ ᱨᱩᱣᱟᱹᱲ ᱥᱟᱶ, ᱢᱤᱫ ᱞᱮᱠᱟᱱ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ ᱫᱚ 103 ᱜᱷᱩᱨᱟᱹᱣ ᱦᱟᱹᱵᱤᱡ ᱠᱷᱮᱞ ᱜᱚᱱᱚᱝ ᱟᱨ 25 ᱨᱮ ᱥᱟᱱᱟᱢ ᱠᱷᱚᱱ ᱵᱮᱥ, ᱟᱣᱥᱚᱛ ᱛᱮ +0.51 ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱜᱚᱱᱚᱝ᱾ ᱥᱴᱨᱮᱴ ᱚᱯ ᱨᱮ ᱪᱮᱛᱟᱱ-ᱞᱟᱛᱟᱨ ᱫᱚ ᱱᱤᱛᱚᱜ ᱢᱟᱨᱟᱝ ᱡᱮ ᱥᱮᱥᱚᱱ ᱫᱚ ᱠᱚᱢ ᱵᱮᱥᱤ 3,600 ᱜᱷᱩᱨᱟᱹᱣ ᱦᱟᱹᱵᱤᱡ ᱯᱚᱡᱤᱴᱤᱵᱷ ᱛᱟᱦᱮᱸᱱᱟ ᱟᱨ 882 ᱨᱮ ᱥᱟᱱᱟᱢ ᱠᱷᱚᱱ ᱵᱮᱥ, +17.25 ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱜᱚᱱᱚᱝ᱾ ᱵᱮᱥᱤ ᱥᱟᱫᱷᱟᱨᱚᱬ 10% ᱨᱩᱣᱟᱹᱲ ᱥᱟᱶ, ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱫᱚ ᱠᱷᱟᱹᱞᱤ ᱢᱤᱫ ᱜᱷᱩᱨᱟᱹᱣ ᱞᱟᱹᱜᱤᱫ ᱯᱚᱡᱤᱴᱤᱵᱷ, ᱢᱮᱱᱠᱷᱟᱱ ᱥᱴᱨᱮᱴ ᱚᱯ ᱫᱚ 20 ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱥᱟᱱᱟᱢ ᱠᱷᱚᱱ ᱵᱮᱥ, +0.62 ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱜᱚᱱᱚᱝ᱾

ᱨᱩᱣᱟᱹᱲᱵᱟᱡᱤᱯᱚᱡᱤᱴᱤᱵᱷ ᱦᱟᱹᱵᱤᱡᱥᱟᱱᱟᱢ ᱠᱷᱚᱱ ᱵᱮᱥ ᱥᱮᱥᱚᱱᱥᱟᱱᱟᱢ ᱠᱷᱚᱱ ᱵᱮᱥ ᱨᱮ ᱜᱚᱱᱚᱝ
50%ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ103 ᱜᱷᱩᱨᱟᱹᱣ25 ᱜᱷᱩᱨᱟᱹᱣ+0.51 ᱵᱟᱡᱤ ᱴᱟᱠᱟ
50%ᱥᱴᱨᱮᱴ ᱚᱯᱠᱚᱢ ᱵᱮᱥᱤ 3,600 ᱜᱷᱩᱨᱟᱹᱣ882 ᱜᱷᱩᱨᱟᱹᱣ+17.25 ᱵᱟᱡᱤ ᱴᱟᱠᱟ
10%ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ1 ᱜᱷᱩᱨᱟᱹᱣ1 ᱜᱷᱩᱨᱟᱹᱣ+0.02 ᱵᱟᱡᱤ ᱴᱟᱠᱟ
10%ᱥᱴᱨᱮᱴ ᱚᱯ85 ᱜᱷᱩᱨᱟᱹᱣ20 ᱜᱷᱩᱨᱟᱹᱣ+0.62 ᱵᱟᱡᱤ ᱴᱟᱠᱟ
ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱪᱟᱠᱟ, ᱡᱚᱛᱚ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱢᱤᱫ ᱜᱮ ᱵᱟᱡᱤ ᱨᱮ ᱢᱤᱫ ᱵᱟᱡᱤ ᱴᱟᱠᱟ, ᱛᱷᱤᱨ ᱜᱷᱩᱨᱟᱹᱣ ᱛᱟᱭᱚᱢ ᱥᱩᱫᱽ ᱦᱟᱹᱱᱤ ᱨᱮ ᱨᱩᱣᱟᱹᱲ᱾ ᱴᱷᱤᱠ ᱵᱟᱭᱱᱚᱢᱤᱭᱟᱞ ᱡᱚᱛᱚ᱾

ᱨᱩᱞᱮᱴ ᱯᱨᱚᱢᱚ ᱱᱤᱭᱚᱢ: ᱠᱮᱥᱤᱱᱳ ᱪᱮᱫ ᱨᱮ ᱵᱷᱚᱨᱥᱟ ᱠᱟᱱᱟ

ᱡᱚᱛᱚ ᱯᱨᱚᱢᱚᱥᱚᱱ ᱨᱮ ᱥᱤᱢᱟᱹ ᱢᱮᱱᱟᱜ-ᱟ, ᱟᱨ ᱥᱤᱢᱟᱹ ᱫᱚ ᱠᱮᱥᱤᱱᱳ ᱨᱩᱠᱷᱤᱭᱟᱹᱭᱟ: ᱢᱤᱫ ᱦᱤᱡᱩᱜ ᱨᱮ ᱢᱤᱫ ᱠᱩᱯᱚᱱ, ᱛᱷᱤᱨ ᱞᱮᱠᱷᱟ ᱨᱮ ᱪᱤᱯ, ᱟᱨ ᱨᱤᱵᱮᱴ ᱫᱚ ᱠᱷᱟᱹᱞᱤ ᱚᱱᱟ ᱠᱷᱮᱞᱚᱸᱰ ᱠᱚ ᱥᱟᱶ ᱢᱟᱱᱚᱛ ᱦᱩᱭᱩᱜ-ᱟ ᱡᱟᱦᱟᱸ ᱠᱚᱣᱟᱜ ᱥᱚᱯᱷᱚᱨ ᱨᱮᱭᱟᱜ ᱟᱸᱫᱟᱡᱽ ᱦᱟᱹᱱᱤ ᱫᱚ ᱨᱩᱣᱟᱹᱲ ᱠᱷᱚᱱ ᱟᱹᱰᱤ ᱢᱟᱨᱟᱝ᱾ ᱡᱟᱦᱟᱸ ᱠᱷᱮᱞᱚᱸᱰ ᱠᱩᱯᱚᱱ ᱵᱮᱵᱷᱟᱨ ᱠᱟᱛᱮ ᱟᱨᱟᱜ ᱨᱮ $50 ᱵᱟᱡᱤ ᱥᱟᱶ ᱢᱤᱫ ᱧᱤᱫᱟᱹ ᱛᱟᱦᱮᱸᱱᱟᱭ, ᱩᱱᱤ ᱫᱚ 17 ᱜᱷᱩᱨᱟᱹᱣ ᱵᱷᱤᱛᱤᱨ $22.97 ᱨᱩᱣᱟᱹᱲ ᱮ ᱮᱢᱟ, ᱢᱤᱫ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ $1.35 ᱛᱮ᱾ ᱜᱚᱱᱚᱝ ᱫᱚ ᱥᱟᱹᱨᱤ ᱚᱱᱟ ᱠᱷᱮᱞᱚᱸᱰ ᱞᱟᱹᱜᱤᱫ ᱡᱟᱦᱟᱸᱭ ᱚᱱᱟ ᱦᱟᱛᱟᱣ ᱠᱟᱛᱮ ᱪᱟᱞᱟᱜ-ᱟᱭ, ᱥᱮ ᱡᱟᱦᱟᱸᱭ ᱚᱱᱟ ᱞᱮᱠᱟ ᱜᱮ ᱠᱷᱮᱞ ᱞᱟᱹᱜᱤᱫ ᱛᱟᱦᱮᱸᱫ ᱠᱟᱱᱟᱭ᱾

ᱯᱷᱚᱨᱢᱩᱞᱟ

n ᱮᱞ ᱨᱮ ᱢᱤᱫ ᱫᱷᱟᱣ ᱪᱤᱯ: ᱜᱚᱱᱚᱝ = ᱞᱮᱠᱷᱟ ᱨᱮᱭᱟᱜ (36 − n)/37
ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱡᱤᱛ ᱵᱟᱨ ᱫᱷᱟᱣ ᱠᱩᱯᱚᱱ: EV = ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ (2 × 18 − 19)/37
ᱥᱩᱫᱽ ᱦᱟᱹᱱᱤ ᱨᱮᱭᱟᱜ r ᱨᱩᱣᱟᱹᱲ: EV = E[ᱨᱮᱡᱟᱞᱴ] + r × E[ᱥᱩᱫᱽ ᱦᱟᱹᱱᱤ]

ᱠᱩᱠᱞᱤ ᱠᱚ

ᱠᱩᱯᱚᱱ ᱫᱚ ᱨᱩᱞᱮᱴ ᱡᱤᱛ ᱠᱷᱮᱞ ᱵᱮᱱᱟᱣ ᱫᱟᱲᱮᱭᱟᱜ-ᱟ ᱥᱮ?

ᱡᱟᱦᱟᱸ ᱵᱟᱡᱤ ᱥᱟᱶ ᱪᱟᱞᱟᱜ-ᱟ, ᱚᱱᱟ ᱢᱤᱫ ᱞᱟᱹᱜᱤᱫ, ᱦᱮᱸ᱾ ᱮᱴᱟᱜ ᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱫᱚ ᱱᱤᱛ ᱦᱚᱸ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ 2.70% ᱠᱷᱚᱨᱚᱪ ᱮᱢᱟ᱾

ᱠᱮᱥᱤᱱᱳ ᱠᱚ ᱫᱚ ᱦᱮᱡᱤᱝ ᱪᱮᱫᱟᱜ ᱠᱚ ᱥᱟᱦᱟᱣᱟ?

ᱠᱚᱢ ᱠᱷᱮᱞᱚᱸᱰ ᱜᱮ ᱱᱚᱶᱟ ᱵᱟᱵᱚᱛ ᱠᱚ ᱵᱷᱟᱵᱱᱟ, ᱪᱤᱯ ᱫᱚ ᱥᱤᱢᱟᱹ ᱨᱮ, ᱟᱨ ᱠᱮᱥᱤᱱᱳ ᱫᱚ ᱯᱨᱚᱢᱚᱥᱚᱱ ᱨᱮᱭᱟᱜ ᱫᱟᱢ ᱵᱤᱡᱟᱹᱯᱚᱱ ᱞᱮᱠᱟᱛᱮ ᱢᱟᱦᱟᱸ ᱞᱟᱦᱟ ᱠᱷᱚᱱ ᱜᱮ ᱦᱤᱥᱟᱹᱵ ᱟᱠᱟᱫᱟ᱾

ᱥᱟᱫᱷᱟᱨᱚᱬ ᱠᱷᱮᱞᱚᱸᱰ ᱠᱚ ᱦᱚᱸ ᱨᱤᱵᱮᱴ ᱠᱚ ᱧᱟᱢᱟ ᱥᱮ?

ᱟᱹᱰᱤ ᱠᱚᱢ᱾ ᱱᱚᱶᱟ ᱫᱚ ᱦᱟᱭ-ᱨᱳᱞᱟᱨ ᱨᱮᱭᱟᱜ ᱥᱚᱨᱛᱚ ᱠᱟᱱᱟ, ᱡᱟᱹᱥᱛᱤ ᱛᱮ ᱠᱮᱥᱤᱱᱳ ᱦᱚᱥᱴ ᱥᱟᱶ ᱢᱟᱱᱚᱛ ᱟᱠᱟᱱ ᱟᱨ ᱥᱚᱯᱷᱚᱨ ᱨᱮᱭᱟᱜ ᱥᱩᱫᱽ ᱦᱟᱹᱱᱤ ᱨᱮ ᱮᱢᱚᱜ-ᱟ᱾

ᱜᱚᱱᱤᱛ ᱥᱟᱶ ᱨᱟᱹᱥᱠᱟᱹ

ᱱᱚᱶᱟ ᱠᱚ ᱯᱩᱭᱞᱩ ᱟᱯᱮ ᱛᱮ ᱠᱩᱨᱩᱢᱩᱴᱩ ᱯᱮ᱾ ᱢᱤᱫ ᱢᱤᱫ ᱥᱚᱢᱟᱫᱷᱟᱱ ᱫᱚ ᱩᱠᱩ ᱢᱮᱱᱟᱜ-ᱟ; ᱛᱮᱭᱟᱨ ᱦᱩᱭ ᱠᱟᱛᱮ ᱡᱷᱤᱡᱽ ᱯᱮ᱾

  1. ᱟᱯᱮ ᱫᱚ $25 ᱨᱮᱭᱟᱜ ᱯᱨᱚᱢᱳᱥᱚᱱ ᱪᱤᱯᱴᱟᱠᱟᱪᱤᱯᱛᱷᱤᱠ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ ᱪᱤᱱᱦᱟᱹ ᱴᱚᱠᱮᱱ, ᱵᱟᱡᱤ ᱞᱟᱹᱜᱤᱫ ᱞᱮᱭᱟᱣᱴ ᱨᱮ ᱫᱚᱦᱚᱜ-ᱟ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱪᱮᱠ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱮᱢ ᱟᱠᱟᱱᱟ ᱯᱮ, ᱡᱟᱦᱟᱸ ᱫᱚ ᱢᱤᱫ ᱵᱟᱡᱤ ᱛᱟᱭᱚᱢ ᱤᱫᱤᱭᱚᱜ-ᱟ, ᱡᱤᱛᱟᱹᱣ ᱥᱮ ᱦᱟᱨᱟᱣ᱾ ᱚᱱᱟ ᱚᱠᱟ ᱨᱮ ᱫᱚᱦᱚ ᱞᱟᱹᱠᱛᱤ: ᱟᱨᱟᱜᱵᱟᱡᱤᱟᱨᱟᱜ18 ᱟᱨᱟᱜ ᱮᱞ ᱨᱮ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ᱾ ᱯᱷᱨᱮᱧᱪ ᱨᱮ: ᱨᱩᱡᱽ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ, ᱰᱚᱡᱮᱱᱵᱟᱡᱤᱰᱚᱡᱮᱱ1–12, 13–24 ᱟᱨᱵᱟᱝ 25–36, ᱵᱷᱩᱜᱛᱟᱱ 2:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱥᱮ ᱢᱤᱫ ᱮᱞ ᱨᱮ?

    ᱥᱚᱢᱟᱫᱷᱟᱱ ᱩᱫᱩᱜ

    ᱛᱮᱞᱟ ᱢᱤᱫ ᱮᱞ ᱨᱮ᱾ ᱚᱱᱰᱮ ᱚᱱᱟ ᱨᱮᱭᱟᱜ ᱜᱚᱱᱚᱝ ᱟᱣᱥᱚᱛ ᱛᱮ $23.65; ᱰᱚᱡᱮᱱ ᱨᱮ $16.22 ᱟᱨ ᱟᱨᱟᱜ ᱨᱮ $12.16᱾

    ᱪᱤᱯ ᱫᱚ ᱛᱤᱥ ᱦᱚᱸ ᱵᱟᱝ ᱨᱩᱣᱟᱹᱲᱚᱜ-ᱟ, ᱮᱠᱮᱞ ᱚᱱᱟ ᱡᱟᱦᱟᱸ ᱡᱤᱛᱟᱹᱣᱟ᱾ ᱟᱨᱟᱜ ᱨᱮ ᱚᱱᱟ 18/37 ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱛᱮ $25 ᱡᱤᱛᱟᱹᱣᱟ: $12.16᱾ ᱰᱚᱡᱮᱱ ᱨᱮ 12/37 ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱛᱮ $50: $16.22᱾ ᱢᱤᱫ ᱮᱞ ᱨᱮ 1/37 ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱛᱮ $875: $23.65᱾

    ᱥᱟᱫᱷᱟᱨᱚᱬ ᱛᱮ n ᱮᱞ ᱨᱮ ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ ᱜᱚᱱᱚᱝ ᱪᱤᱯ ᱨᱮᱭᱟᱜ (36 − n)/37, ᱚᱱᱟᱛᱮ ᱡᱮᱛᱤᱠ ᱠᱚᱢ ᱮᱞ, ᱚᱛᱤᱠ ᱵᱮᱥ᱾ ᱥᱟᱫᱷᱟᱨᱚᱬ ᱪᱤᱯ ᱥᱟᱶ ᱱᱚᱣᱟ ᱨᱮ ᱪᱮᱫ ᱦᱚᱸ ᱯᱷᱟᱨᱟᱠ ᱵᱟᱹᱱᱩᱜ-ᱟ, ᱪᱮᱫᱟᱜ ᱥᱮ ᱡᱚᱛᱚ ᱡᱤᱛ ᱥᱟᱶ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱨᱩᱣᱟᱹᱲᱚᱜ-ᱟ ᱟᱨ ᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ ᱜᱚᱱᱚᱝ ᱚᱱᱟ ᱨᱮᱭᱟᱜ 36/37᱾ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱤᱫᱤ ᱠᱷᱟᱱ ᱟᱭᱢᱟ ᱫᱷᱟᱣ ᱡᱤᱛᱟᱹᱣᱚᱜ ᱵᱟᱡᱤ ᱠᱚ ᱦᱟᱹᱱᱤ ᱧᱟᱢᱟ ᱟᱨ 37 ᱨᱮ ᱢᱤᱫ ᱫᱷᱟᱣ ᱡᱤᱛᱟᱹᱣᱚᱜ ᱵᱟᱡᱤ ᱫᱚ ᱯᱚᱥᱟᱹ ᱵᱟᱝ ᱡᱚᱞᱚᱢᱚᱜ-ᱟ᱾

  2. ᱢᱤᱫ ᱠᱮᱥᱤᱱᱳ ᱴᱷᱤᱠ ᱢᱤᱫ ᱜᱷᱩᱨᱟᱹᱣ ᱛᱟᱭᱚᱢ ᱟᱯᱮᱭᱟᱜ ᱥᱩᱫᱽ ᱦᱟᱹᱱᱤ ᱨᱮᱭᱟᱜ ᱟᱫᱷᱟ ᱨᱩᱣᱟᱹᱲ ᱮᱢ ᱟᱭ᱾ ᱟᱨᱟᱜ ᱨᱮ $100 ᱠᱷᱮᱞ ᱡᱚᱜ ᱠᱟᱱᱟ ᱥᱮ? ᱟᱨ ᱢᱤᱫ ᱮᱞ ᱨᱮ $100?

    ᱥᱚᱢᱟᱫᱷᱟᱱ ᱩᱫᱩᱜ

    ᱛᱮᱞᱟ ᱵᱟᱨᱭᱟ ᱜᱮ: ᱟᱨᱟᱜ ᱨᱮ ᱡᱟᱦᱟᱱ +$22.97 ᱟᱨ ᱮᱞ ᱨᱮ +$45.95᱾

    ᱟᱨᱟᱜ ᱨᱮ ᱟᱯᱮ 18/37 ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱛᱮ $100 ᱯᱮ ᱡᱤᱛᱟᱹᱣᱟ ᱟᱨ, ᱨᱩᱣᱟᱹᱲ ᱛᱟᱭᱚᱢ, 19/37 ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱛᱮ $50 ᱯᱮ ᱦᱟᱨᱟᱣᱟ: (1,800 − 950)/37 = +$22.97᱾

    ᱢᱤᱫ ᱮᱞ ᱨᱮ ᱟᱯᱮ 1/37 ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱛᱮ $3,500 ᱯᱮ ᱡᱤᱛᱟᱹᱣᱟ ᱟᱨ 36/37 ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱛᱮ $50 ᱯᱮ ᱦᱟᱨᱟᱣᱟ: (3,500 − 1,800)/37 = +$45.95᱾

    ᱱᱚᱣᱟ ᱫᱚ ᱢᱮᱪᱯᱞᱮ ᱨᱮᱭᱟᱜ ᱮᱞ ᱠᱚ ᱜᱮ ᱠᱟᱱᱟ᱾ ᱡᱟᱦᱟᱸ $100 ᱵᱟᱡᱤ ᱮᱠᱮᱞ $50 ᱦᱟᱨᱟᱣᱚᱜ-ᱟ, ᱚᱱᱟ $100 ᱡᱤᱛᱟᱹᱣᱚᱜ-ᱟ ᱥᱮ $50 ᱦᱟᱨᱟᱣᱚᱜ-ᱟ, ᱴᱷᱤᱠ ᱡᱤᱛ ᱵᱟᱨ ᱫᱷᱟᱣ ᱵᱮᱱᱟᱣ ᱠᱩᱯᱚᱱ ᱥᱟᱶ $50 ᱵᱟᱡᱤ ᱞᱮᱠᱟ᱾ ᱡᱮᱞᱮᱧ ᱥᱮᱥᱚᱱ ᱨᱮ ᱨᱩᱣᱟᱹᱲ ᱫᱚ ᱮᱠᱮᱞ ᱥᱩᱫᱽ ᱨᱮᱡᱟᱞᱴ ᱨᱮ ᱮᱢᱚᱜ-ᱟ, ᱡᱤᱛ ᱟᱨ ᱦᱟᱹᱱᱤ ᱚᱱᱟ ᱞᱟᱦᱟ ᱨᱮ ᱢᱮᱴᱟᱣᱚᱜ-ᱟ, ᱟᱨ ᱜᱚᱱᱚᱝ ᱠᱚᱢᱚᱜ-ᱟ; ᱟᱫᱷᱟ ᱨᱩᱣᱟᱹᱲ ᱥᱟᱶ ᱟᱨᱟᱜ ᱞᱟᱹᱜᱤᱫ 25 ᱜᱷᱩᱨᱟᱹᱣ ᱜᱮ ᱡᱚᱛᱚ ᱠᱷᱚᱱ ᱵᱮᱥ ᱡᱮᱞᱮᱧ᱾

  3. ᱠᱮᱥᱤᱱᱳ ᱫᱚ ᱟᱯᱮᱭᱟᱜ ᱥᱩᱫᱽ ᱦᱟᱹᱱᱤ ᱨᱮᱭᱟᱜ ᱟᱫᱷᱟ ᱨᱩᱣᱟᱹᱲ ᱮᱢ ᱟᱭ ᱢᱟᱲᱟᱝ ᱠᱷᱚᱱ ᱵᱟᱪᱷᱟᱣ ᱟᱠᱟᱱ ᱟᱨᱟᱜ ᱨᱮ $100 ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ ᱞᱮᱠᱷᱟ ᱛᱟᱭᱚᱢ: 1, 2 ᱥᱮ 3 ᱜᱷᱩᱨᱟᱹᱣ᱾ ᱚᱠᱟ ᱨᱮᱭᱟᱜ ᱜᱚᱱᱚᱝ ᱡᱚᱛᱚ ᱠᱷᱚᱱ ᱵᱮᱥᱤ?

    ᱥᱚᱢᱟᱫᱷᱟᱱ ᱩᱫᱩᱜ

    ᱛᱮᱞᱟ ᱯᱮ ᱜᱷᱩᱨᱟᱹᱣ: ᱡᱟᱦᱟᱱ +$31.45᱾ ᱢᱤᱫ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮᱭᱟᱜ ᱜᱚᱱᱚᱝ +$22.97, ᱟᱨ ᱵᱟᱨ ᱨᱮᱭᱟᱜ ᱮᱠᱮᱞ +$20.96᱾

    ᱢᱤᱫ ᱜᱷᱩᱨᱟᱹᱣ: 18/37 ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱛᱮ $100 ᱡᱤᱛ, ᱵᱟᱝᱠᱷᱟᱱ 19/37 ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱛᱮ $100 ᱦᱟᱨᱟᱣ ᱟᱨ $50 ᱨᱩᱣᱟᱹᱲ: +$22.97, ᱪᱮᱛᱟᱱ ᱨᱮᱭᱟᱜ ᱮᱠᱥᱚᱨᱥᱟᱭᱤᱡᱽ ᱞᱮᱠᱟ᱾

    ᱵᱟᱨ ᱜᱷᱩᱨᱟᱹᱣ: ᱵᱟᱨᱭᱟ ᱡᱤᱛ (1,369 ᱨᱮ 324 ᱫᱷᱟᱣ), +$200᱾ ᱢᱤᱫ ᱢᱤᱫ (684 ᱫᱷᱟᱣ), $0, ᱨᱩᱣᱟᱹᱲ ᱞᱟᱹᱜᱤᱫ ᱪᱮᱫ ᱦᱚᱸ ᱵᱟᱹᱱᱩᱜ-ᱟ᱾ ᱵᱟᱨᱭᱟ ᱦᱟᱨᱟᱣ (361 ᱫᱷᱟᱣ), −$200, ᱨᱩᱣᱟᱹᱲ ᱛᱟᱭᱚᱢ −$100᱾ ᱟᱣᱥᱚᱛ: (200 × 324 − 100 × 361)/1,369 = +$20.96᱾ ᱨᱩᱣᱟᱹᱲ ᱫᱚ ᱮᱠᱮᱞ ᱦᱟᱹᱱᱤ ᱨᱮ ᱮᱢᱚᱜ-ᱟ, ᱟᱨ ᱵᱟᱨ ᱜᱷᱩᱨᱟᱹᱣ ᱫᱚ ᱟᱭᱢᱟ ᱢᱤᱫ ᱜᱷᱩᱨᱟᱹᱣ ᱦᱟᱹᱱᱤ ᱠᱚ ᱵᱟᱨᱟᱵᱟᱨ ᱛᱮ ᱮ ᱵᱚᱫᱚᱞᱟ᱾

    ᱯᱮ ᱜᱷᱩᱨᱟᱹᱣ ᱫᱚ ᱛᱤᱥ ᱦᱚᱸ ᱵᱟᱨᱟᱵᱟᱨ ᱵᱟᱝ ᱦᱩᱭ ᱫᱟᱲᱮᱭᱟᱜ-ᱟ᱾ ᱯᱮ ᱡᱤᱛ (50,653 ᱨᱮ 5,832 ᱫᱷᱟᱣ): +$300᱾ ᱵᱟᱨ ᱡᱤᱛ (18,468): +$100᱾ ᱢᱤᱫ ᱡᱤᱛ (19,494): −$100, ᱨᱩᱣᱟᱹᱲ ᱛᱟᱭᱚᱢ −$50᱾ ᱡᱤᱛ ᱵᱟᱹᱱᱩᱜ (6,859): −$300, ᱨᱩᱣᱟᱹᱲ ᱛᱟᱭᱚᱢ −$150᱾ ᱟᱣᱥᱚᱛ: +$31.45᱾

    ᱡᱮᱛᱤᱠ ᱡᱮᱞᱮᱧ ᱠᱷᱮᱞ ᱨᱮᱭᱟᱜ ᱠᱚᱛᱷᱟ ᱮᱢ ᱯᱮ, ᱨᱩᱣᱟᱹᱲ ᱨᱮᱭᱟᱜ ᱜᱚᱱᱚᱝ ᱚᱛᱤᱠ ᱵᱮᱥᱤ, ᱚᱱᱟ ᱚᱠᱛᱚ ᱵᱟᱲᱛᱤ ᱨᱮᱭᱟᱜ ᱠᱷᱚᱨᱚᱪ ᱫᱚ ᱡᱚᱛᱚ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱮᱠᱮᱞ $2.70, ᱚᱱᱟᱛᱮ ᱜᱚᱱᱚᱝ ᱫᱚ 25 ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱡᱟᱦᱟᱱ +$51 ᱦᱟᱹᱵᱤᱡ ᱪᱮᱛᱟᱱ ᱥᱮᱫ ᱪᱟᱞᱟᱜ-ᱟ (ᱪᱮᱛᱟᱱ ᱨᱮᱭᱟᱜ ᱛᱟᱹᱞᱤᱠᱟᱹ ᱧᱮᱞ ᱯᱮ), ᱟᱨ ᱵᱤᱡᱳᱲ ᱞᱮᱠᱷᱟ ᱜᱷᱩᱨᱟᱹᱣ ᱡᱚᱛᱚ ᱚᱠᱛᱚ ᱚᱱᱟ ᱛᱟᱭᱚᱢ ᱨᱮᱭᱟᱜ ᱡᱳᱲ ᱞᱮᱠᱷᱟ ᱠᱷᱚᱱ ᱵᱮᱥ᱾

  4. ᱢᱤᱫ ᱫᱷᱟᱣ ᱞᱟᱥ ᱵᱷᱮᱜᱟᱥ ᱨᱮᱭᱟᱜ ᱢᱤᱫ ᱠᱮᱥᱤᱱᱳ ᱢᱤᱫ ᱠᱩᱯᱚᱱ ᱮ ᱦᱟᱹᱴᱤᱧ ᱞᱮᱫᱟ: 00 ᱨᱮ $5 ᱵᱟᱡᱤ ᱞᱟᱜᱟᱣ ᱯᱮ ᱟᱨ, ᱡᱩᱫᱤ ᱡᱤᱛᱟᱹᱣᱚᱜ-ᱟ, ᱥᱟᱫᱷᱟᱨᱚᱬ $175 ᱵᱚᱫᱚᱞ $250 ᱮᱢᱚᱜ-ᱟ᱾ ᱩᱱᱤᱭᱟᱜ ᱰᱚᱵᱚᱞ 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 ᱠᱩᱯᱚᱱ ᱥᱟᱶ $5 ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ ᱜᱚᱱᱚᱝ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ ᱛᱤᱱᱟᱹᱜ ᱦᱟᱹᱴᱤᱧ?

    ᱥᱚᱢᱟᱫᱷᱟᱱ ᱩᱫᱩᱜ

    ᱛᱮᱞᱟ ᱡᱟᱦᱟᱱ +34%: ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ ᱜᱚᱱᱚᱝ ᱟᱣᱥᱚᱛ ᱛᱮ +$1.71᱾ ᱡᱩᱫᱤ $250 ᱨᱮ ᱨᱩᱣᱟᱹᱲ $5 ᱦᱚᱸ ᱥᱮᱞᱮᱫ ᱢᱮᱱᱟᱜ-ᱟ, ᱚᱱᱟ ᱫᱚ +31.6%᱾

    00 ᱫᱚ 38 ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱢᱤᱫ ᱫᱷᱟᱣ ᱡᱤᱛᱟᱹᱣᱚᱜ-ᱟ᱾ ᱠᱩᱯᱚᱱ ᱥᱟᱶ: ᱢᱤᱫ ᱫᱷᱟᱣ +$250, ᱮᱴᱟᱜ 37 ᱫᱷᱟᱣ −$5᱾ ᱟᱣᱥᱚᱛ: (250 − 37 × 5)/38 = 65/38 = +$1.71, ᱚᱱᱟ ᱫᱚ $5 ᱨᱮᱭᱟᱜ 34.2%᱾ ᱠᱩᱯᱚᱱ ᱵᱮᱜᱚᱨ: (175 − 185)/38 = −$0.26, ᱥᱟᱫᱷᱟᱨᱚᱬ −5.26%᱾

    ᱡᱩᱫᱤ $250 ᱫᱚ ᱡᱚᱛᱚ ᱨᱩᱣᱟᱹᱲ ᱴᱟᱠᱟ ᱠᱟᱱᱟ, ᱡᱤᱛ ᱫᱚ $245 ᱟᱨ ᱟᱣᱥᱚᱛ (245 − 185)/38 = +$1.58, ᱵᱟᱝᱠᱷᱟᱱ 31.6%᱾

    ᱵᱚᱞᱢᱟᱱ (Bollman, 2024) ᱱᱚᱣᱟ ᱠᱩᱯᱚᱱ, ᱞᱮᱰᱤ ᱞᱟᱠ (Lady Luck) ᱠᱮᱥᱤᱱᱳ ᱠᱷᱚᱱ (ᱱᱤᱛᱚᱜ ᱰᱟᱣᱩᱱᱴᱟᱣᱩᱱ ᱜᱽᱨᱮᱱᱰ, Downtown Grand), ᱮᱠᱥᱚᱨᱥᱟᱭᱤᱡᱽ ᱞᱮᱠᱟᱛᱮ ᱮ ᱮᱢ ᱟᱠᱟᱫᱟ; ᱚᱱᱟ ᱥᱟᱶ ᱪᱷᱟᱯᱟ ᱩᱛᱛᱚᱨ, 7.89%, ᱫᱚ ᱵᱟᱨᱭᱟ ᱯᱟᱲᱦᱟᱣ ᱥᱟᱶ ᱵᱟᱝ ᱢᱮᱲᱟᱣᱚᱜ-ᱟ᱾ ᱢᱮᱪᱯᱞᱮ ᱠᱩᱯᱚᱱ ᱞᱮᱠᱟ, ᱚᱱᱟ ᱨᱮᱭᱟᱜ ᱜᱚᱱᱚᱝ ᱢᱤᱫ ᱫᱷᱟᱣ ᱜᱮ ᱢᱮᱱᱟᱜ-ᱟ: ᱠᱷᱮᱞ ᱠᱟᱛᱮ ᱛᱤᱝᱜᱩ ᱯᱮ᱾

ᱞᱟᱸᱫᱟ ᱞᱟᱹᱜᱤᱫ ᱠᱚᱢᱤᱠ

ᱯᱨᱚᱢᱚᱥᱚᱱ ᱫᱚ ᱚᱱᱟ ᱠᱷᱮᱞᱚᱸᱰ ᱞᱟᱹᱜᱤᱫ ᱥᱟᱱᱟᱢ ᱠᱷᱚᱱ ᱵᱮᱥᱤ ᱜᱚᱱᱚᱝ ᱡᱟᱦᱟᱸᱭ ᱚᱱᱟ ᱦᱟᱛᱟᱣ ᱠᱟᱛᱮ ᱚᱲᱟᱜ ᱪᱟᱞᱟᱜ-ᱟᱭ᱾

ᱯᱨᱚᱢᱚᱥᱚᱱ ᱫᱚ ᱚᱱᱟ ᱠᱷᱮᱞᱚᱸᱰ ᱞᱟᱹᱜᱤᱫ ᱥᱟᱱᱟᱢ ᱠᱷᱚᱱ ᱵᱮᱥᱤ ᱜᱚᱱᱚᱝ ᱡᱟᱦᱟᱸᱭ ᱚᱱᱟ ᱦᱟᱛᱟᱣ ᱠᱟᱛᱮ ᱚᱲᱟᱜ ᱪᱟᱞᱟᱜ-ᱟᱭ᱾

ᱯᱷᱮᱰᱟᱛ

  1. Bollman, M. Basic Gambling Mathematics: The Numbers Behind the Neon, 2nd ed. CRC Press, 2024᱾
  2. Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed. Academic Press, 2013᱾
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