ᱨᱩᱞᱮᱴ ᱵᱟᱡᱤ · ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ · ᱨᱩᱡᱽ/ᱱᱣᱟᱨ · 8 ᱢᱤᱱᱤᱴ

ᱨᱩᱞᱮᱴ ᱟᱨᱟᱜ ᱟᱨᱵᱟᱝ ᱦᱮᱸᱫᱮ ᱵᱟᱡᱤ

ᱨᱩᱞᱮᱴ ᱨᱮ ᱟᱨᱟᱜ ᱟᱨᱵᱟᱝ ᱦᱮᱸᱫᱮ ᱫᱚ ᱢᱤᱫ ᱨᱚᱝ ᱨᱮᱭᱟᱜ ᱜᱮᱞ ᱤᱨᱟᱹᱞ ᱮᱞ ᱠᱚᱵᱷᱟᱨᱟ: ᱱᱚᱶᱟ ᱫᱚ ᱢᱩᱞ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ ᱠᱟᱱᱟ᱾

ᱠᱷᱟᱴᱚ ᱛᱮᱞᱟ

ᱜᱮᱞ ᱤᱨᱟᱹᱞ ᱮᱞ, 1:1 ᱵᱷᱩᱜᱛᱟᱱ᱾ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ 48.65%, 50% ᱫᱚ ᱵᱟᱝ: ᱯᱷᱟᱨᱟᱠ ᱫᱚ ᱡᱤᱨᱚ ᱠᱟᱱᱟ᱾

ᱠᱚᱵᱷᱟᱨ ᱮᱞ
18 / 37
ᱥᱚᱢᱵᱷᱟᱵᱱᱟ
48.65%
ᱵᱷᱩᱜᱛᱟᱱ
1:1
$1 ᱯᱨᱚᱛᱤ SD
1.00
ᱴᱮᱵᱩᱞ ᱨᱮ · 18 ᱮᱞ
ᱪᱟᱠᱟ ᱨᱮ
0321519421225173462713361130823105241633120143192218297281235326

ᱫᱚᱦᱚ ᱴᱷᱟᱶ

ᱵᱟᱦᱨᱮ ᱵᱟᱡᱤᱵᱟᱡᱤᱵᱟᱦᱨᱮ ᱵᱟᱡᱤᱡᱟᱹᱞᱤ ᱜᱷᱮᱨᱟᱣ ᱵᱟᱠᱥᱚ ᱨᱮ ᱵᱟᱡᱤ: ᱰᱚᱡᱮᱱ, ᱠᱚᱞᱚᱢ ᱟᱨ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱛᱟᱞᱟ ᱨᱮ ᱟᱨᱟᱜᱵᱟᱡᱤᱟᱨᱟᱜ18 ᱟᱨᱟᱜ ᱮᱞ ᱨᱮ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ᱾ ᱯᱷᱨᱮᱧᱪ ᱨᱮ: ᱨᱩᱡᱽ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱦᱤᱨᱟ ᱟᱨ ᱦᱮᱸᱫᱮᱵᱟᱡᱤᱦᱮᱸᱫᱮ18 ᱦᱮᱸᱫᱮ ᱮᱞ ᱨᱮ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ᱾ ᱯᱷᱨᱮᱧᱪ ᱨᱮ: ᱱᱣᱟᱨ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱦᱤᱨᱟ ᱵᱟᱠᱥᱚ, ᱟᱨᱵᱟᱝ ᱯᱷᱨᱮᱧᱪ ᱞᱮᱭᱟᱣᱴᱥᱟᱡ ᱥᱟᱢᱟᱱᱞᱮᱭᱟᱣᱴᱴᱮᱵᱩᱞ ᱪᱮᱛᱟᱱ ᱪᱷᱟᱯᱟ ᱵᱟᱡᱤ ᱡᱟᱹᱞᱤ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱴᱮᱵᱩᱞ, ᱯᱷᱮᱞᱴ, ᱠᱟᱯᱲᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱨᱩᱡᱽ ᱟᱨ ᱱᱣᱟᱨ ᱥᱟᱵᱫᱚ᱾ ᱡᱚᱛᱚ ᱫᱚ ᱴᱮᱵᱩᱞ ᱨᱮᱭᱟᱜ ᱠᱚᱢ ᱥᱮ ᱠᱚᱢ ᱥᱤᱢᱟᱹ ᱯᱩᱨᱟᱹᱣ ᱞᱟᱹᱠᱛᱤ᱾ ᱟᱨᱟᱜ ᱮᱞ: 1 3 5 7 9 12 14 16 18 19 21 23 25 27 30 32 34 36᱾ ᱦᱮᱸᱫᱮ: ᱮᱴᱟᱜ ᱜᱮᱞ ᱤᱨᱟᱹᱞ᱾ ᱡᱤᱨᱚᱪᱟᱠᱟᱡᱤᱨᱚᱢᱤᱫᱜᱮ ᱦᱟᱹᱨᱭᱟᱹᱲ ᱠᱷᱟᱱᱟ ᱡᱟᱦᱟᱸ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ, ᱰᱚᱡᱮᱱ ᱟᱨᱵᱟᱝ ᱠᱚᱞᱚᱢ ᱵᱟᱡᱤ ᱵᱟᱭ ᱠᱚᱵᱷᱟᱨᱟ; ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤ ᱨᱮᱭᱟᱜ ᱢᱩᱞ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱥᱤᱝᱜᱚᱞ ᱡᱤᱨᱚ, 0᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ ᱦᱟᱹᱨᱭᱟᱹᱲ ᱠᱟᱱᱟ ᱟᱨ ᱡᱟᱦᱟᱱ ᱨᱮᱭᱟᱜ ᱦᱚᱸ ᱵᱟᱝ᱾

ᱟᱨᱟᱜ ᱨᱮ ᱵᱚᱞ ᱚᱠᱟ ᱥᱮᱫ ᱪᱟᱞᱟᱜ-ᱟᱜᱷᱩᱨᱟᱹᱣ ᱨᱮᱭᱟᱜ %
ᱱᱚᱶᱟ ᱵᱟᱡᱤ ᱡᱤᱛᱟᱹᱣᱚᱜ-ᱟ
48.65%
ᱮᱴᱟᱜ ᱮᱞ
48.65%
ᱡᱤᱨᱚ
2.70%
ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮᱭᱟᱜ %
024.3248.65%

ᱨᱩᱞᱮᱴ ᱴᱮᱵᱩᱞ ᱥᱤᱢᱟᱹ

ᱨᱩᱞᱮᱴ ᱨᱮ ᱟᱨᱟᱜ ᱟᱨᱵᱟᱝ ᱦᱮᱸᱫᱮ ᱨᱮ ᱵᱷᱩᱜᱛᱟᱱ ᱟᱨ ᱡᱤᱛ ᱨᱮᱭᱟᱜ ᱚᱰᱥ

37 ᱠᱷᱚᱱ 18 ᱞᱟᱹᱜᱤᱫ ᱱᱤᱭᱟᱭ ᱚᱰᱥ ᱫᱚ 1.056 ᱨᱮ 1 ᱠᱟᱱᱟ; ᱴᱮᱵᱩᱞ ᱫᱚ 1 ᱜᱮ ᱮᱢᱟᱭ᱾ ᱟᱨᱟᱜ ᱨᱮ $10 ᱨᱩᱞᱮᱴ ᱵᱟᱡᱤ ᱡᱤᱛᱟᱹᱣᱠᱷᱟᱱ $10 ᱨᱩᱣᱟᱹᱲ ᱮᱢᱟᱭ᱾ ᱟᱣᱥᱚᱛ 37 ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ: 18 ᱡᱤᱛ (+$180), 18 ᱦᱟᱨᱟᱣ (−$180), ᱢᱤᱫ ᱡᱤᱨᱚ (−$10)᱾ $370 ᱨᱮ ᱥᱩᱫᱽ −$10᱾

$10 × 100 ᱜᱷᱩᱨᱟᱹᱣᱟᱨᱟᱜ
ᱜᱷᱩᱨᱟᱹᱣ ᱯᱨᱚᱛᱤ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ48.65%
100 ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱟᱸᱫᱟᱡᱽ ᱡᱤᱛ48.6
ᱟᱸᱫᱟᱡᱽ ᱨᱮᱡᱟᱞᱴ−$27.03
ᱥᱴᱮᱱᱰᱟᱨᱰ ᱰᱤᱵᱷᱤᱭᱮᱥᱚᱱ$100
p(100 ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱢᱤᱫ ᱡᱤᱛ ᱦᱚᱸ ᱵᱟᱝ)0.000000%
ᱥᱟᱫᱷᱟᱨᱚᱬ ᱡᱟᱦᱟᱸ ᱠᱷᱚᱱ ᱡᱮᱞᱮᱧ ᱦᱟᱨᱟᱣ ᱞᱟᱜᱟᱛᱟᱨ7 ᱜᱷᱩᱨᱟᱹᱣ
ᱮᱴᱟᱜ ᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱞᱮᱠᱟ ᱜᱮ ᱟᱸᱫᱟᱡᱽ ᱦᱟᱹᱱᱤ ᱢᱤᱫ ᱜᱮ᱾ ᱟᱯᱮ ᱫᱚ ᱟᱨᱦᱚᱸ ᱠᱚᱢ ᱵᱮᱥᱤ ᱨᱮᱭᱟᱜ ᱯᱟᱥᱱᱟᱣ ᱜᱮ ᱵᱟᱪᱷᱟᱣ ᱮᱫᱟ᱾

ᱞᱟᱜᱟᱛᱟᱨ

ᱟᱨᱟᱜ ᱟᱨ ᱦᱮᱸᱫᱮ ᱫᱚ ᱪᱟᱠᱟ ᱨᱮ ᱢᱤᱫ ᱥᱮ ᱢᱤᱫ ᱦᱮᱡᱚᱜ-ᱟ, ᱢᱮᱱᱠᱷᱟᱱ ᱚᱠᱛᱚ ᱨᱮ ᱫᱚ ᱵᱟᱝ᱾ ᱞᱟᱜᱟᱛᱟᱨ ᱜᱮᱞ ᱟᱨᱟᱜ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟᱜᱚᱱᱤᱛᱥᱚᱢᱵᱷᱟᱵᱱᱟᱢᱤᱫ ᱨᱮᱡᱟᱞᱴ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ, 0 ᱠᱷᱚᱱ 1 ᱟᱨᱵᱟᱝ 0% ᱠᱷᱚᱱ 100%᱾ ᱢᱤᱫ ᱮᱞ: 1/37 = 2.70%᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ (18/37)¹⁰ = 0.074% ᱠᱟᱱᱟ, ᱡᱷᱟᱞᱟ ᱡᱚᱛᱚ 1,350 ᱜᱮᱞ ᱜᱷᱩᱨᱟᱹᱣ ᱡᱷᱚᱨᱠᱟ ᱨᱮ ᱢᱤᱫ ᱫᱷᱟᱣ; ᱡᱟᱦᱟᱸ ᱠᱮᱥᱤᱱᱳ ᱨᱮ ᱵᱟᱨ ᱜᱮᱞ ᱴᱮᱵᱩᱞ ᱢᱤᱫ ᱜᱷᱟᱸᱴᱟ ᱨᱮ 50 ᱜᱷᱩᱨᱟᱹᱣ ᱠᱚ ᱪᱟᱞᱟᱣᱟ, ᱚᱱᱰᱮ ᱟᱹᱰᱤ ᱜᱟᱱ ᱫᱤᱱ ᱨᱮ ᱱᱚᱶᱟ ᱚᱠᱟ ᱥᱮ ᱦᱩᱭᱩᱜ-ᱟ᱾ ᱱᱚᱶᱟ ᱫᱚ ᱜᱮᱞ ᱢᱤᱫ ᱜᱷᱩᱨᱟᱹᱣ ᱵᱚᱵᱚᱛ ᱪᱮᱫ ᱦᱚᱸ ᱵᱟᱝ ᱢᱮᱛᱟᱭ, ᱡᱟᱦᱟᱸ ᱫᱚ ᱞᱟᱦᱟ ᱨᱮᱭᱟᱜ ᱡᱚᱛᱚ ᱜᱷᱩᱨᱟᱹᱣ ᱞᱮᱠᱟ 18/37 ᱟᱨᱟᱜ ᱠᱟᱱᱟ᱾

ᱞᱟᱜᱟᱛᱟᱨ k ᱟᱨᱟᱜ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ%
ᱞᱟᱜᱟᱛᱟᱨ 2
23.67%
ᱞᱟᱜᱟᱛᱟᱨ 3
11.51%
ᱞᱟᱜᱟᱛᱟᱨ 4
5.60%
ᱞᱟᱜᱟᱛᱟᱨ 5
2.72%
ᱞᱟᱜᱟᱛᱟᱨ 6
1.33%
ᱞᱟᱜᱟᱛᱟᱨ 8
0.314%
ᱞᱟᱜᱟᱛᱟᱨ 10
0.074%
%
011.8323.67%
ᱱᱤᱛ ᱮᱦᱚᱵᱚᱜ ᱢᱤᱫ ᱞᱟᱜᱟᱛᱟᱨ ᱞᱟᱹᱜᱤᱫ (18/37)ᵏ᱾ ᱡᱮᱞᱮᱧ ᱥᱮᱥᱚᱱ ᱨᱮ ᱚᱱᱟ ᱞᱮᱠᱟᱱ ᱞᱟᱜᱟᱛᱟᱨ ᱚᱠᱟ ᱥᱮ ᱦᱮᱡ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱟᱹᱰᱤ ᱵᱮᱥᱤ᱾

ᱨᱩᱞᱮᱴ ᱨᱮ ᱞᱟᱜᱟᱛᱟᱨ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ

ᱥᱤᱥᱴᱮᱢ ᱠᱚ ᱪᱮᱫᱟᱜ ᱱᱚᱰᱮ ᱠᱚ ᱛᱟᱦᱮᱸᱱᱟ

ᱟᱨᱟᱜ/ᱦᱮᱸᱫᱮ ᱫᱚ ᱴᱮᱵᱩᱞ ᱨᱮ ᱯᱚᱭᱥᱟ ᱪᱟᱞᱟᱜ ᱞᱮᱠᱟ ᱡᱟᱦᱟᱸ ᱠᱷᱚᱱ ᱥᱟᱢᱟᱝ ᱠᱟᱱᱟ, ᱚᱱᱟᱛᱮ ᱱᱚᱶᱟ ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱᱥᱴᱨᱮᱴᱮᱡᱤᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱᱢᱟᱨᱮ ᱨᱮᱡᱟᱞᱴ ᱞᱮᱠᱟ ᱛᱮ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱵᱚᱫᱚᱞ ᱡᱟᱦᱟᱸᱱ ᱱᱤᱭᱚᱢ᱾ ᱱᱮᱜᱮᱴᱤᱵᱷ ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱ ᱦᱟᱨᱟᱣ ᱛᱟᱭᱚᱢ ᱵᱟᱲᱦᱟᱣᱟ, ᱯᱚᱡᱤᱴᱤᱵᱷ ᱡᱤᱛ ᱛᱟᱭᱚᱢ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱞᱟᱹᱜᱤᱫ ᱥᱚᱦᱡ ᱵᱩᱱᱤᱭᱟᱹᱫ ᱠᱟᱱᱟ: ᱢᱟᱨᱴᱤᱝᱜᱮᱞᱥᱴᱨᱮᱴᱮᱡᱤᱢᱟᱨᱴᱤᱝᱜᱮᱞᱡᱚᱛᱚ ᱦᱟᱨᱟᱣ ᱛᱟᱭᱚᱢ ᱵᱟᱡᱤ ᱰᱚᱵᱚᱞ ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱ᱾ ᱱᱚᱶᱟ ᱪᱮᱫ ᱮ ᱠᱟᱹᱢᱤᱭᱟ ᱟᱨ ᱪᱮᱫ ᱵᱟᱭ ᱠᱟᱹᱢᱤᱭᱟ, ᱚᱱᱟ ᱥᱴᱨᱮᱴᱮᱡᱤ ᱦᱟᱹᱴᱤᱧ ᱨᱮ ᱧᱮᱞ ᱯᱮ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →, ᱫᱟᱞᱟᱸᱵᱮᱨ, ᱯᱷᱤᱵᱚᱱᱟᱪᱤᱥᱴᱨᱮᱴᱮᱡᱤᱯᱷᱤᱵᱚᱱᱟᱪᱤ1, 1, 2, 3, 5, 8, 13… ᱥᱤᱨᱤᱡᱽ ᱯᱟᱧᱡᱟ ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱ: ᱦᱟᱨᱟᱣ ᱛᱟᱭᱚᱢ ᱢᱤᱫ ᱫᱷᱟᱯ ᱞᱟᱦᱟ, ᱡᱤᱛ ᱛᱟᱭᱚᱢ ᱵᱟᱨ ᱫᱷᱟᱯ ᱛᱟᱭᱚᱢ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →, ᱞᱟᱵᱩᱥᱮᱨᱥᱴᱨᱮᱴᱮᱡᱤᱞᱟᱵᱩᱥᱮᱨᱠᱟᱴᱟᱣ ᱥᱤᱥᱴᱮᱢ: ᱢᱤᱫ ᱞᱟᱭᱤᱱ ᱮᱞ ᱚᱞ ᱯᱮ, ᱵᱟᱨᱭᱟ ᱢᱩᱪᱟᱹᱫ ᱮᱞ ᱨᱮᱭᱟᱜ ᱡᱚᱲᱟᱣ ᱵᱟᱡᱤ ᱞᱟᱜᱟᱣ ᱯᱮ, ᱡᱤᱛ ᱛᱟᱭᱚᱢ ᱚᱱᱟ ᱠᱚ ᱠᱟᱴᱟᱣ ᱯᱮ, ᱦᱟᱨᱟᱣ ᱛᱟᱭᱚᱢ ᱦᱟᱨᱟᱣ ᱟᱠᱟᱱ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱥᱮᱞᱮᱫ ᱯᱮ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱟᱨ ᱯᱟᱨᱚᱞᱤᱥᱴᱨᱮᱴᱮᱡᱤᱯᱟᱨᱚᱞᱤᱯᱚᱡᱤᱴᱤᱵᱷ ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱ: ᱡᱤᱛ ᱛᱟᱭᱚᱢ ᱰᱚᱵᱚᱞ, ᱦᱟᱨᱟᱣ ᱛᱟᱭᱚᱢ ᱟᱨᱵᱟᱝ ᱞᱟᱜᱟᱛᱟᱨ ᱯᱮ ᱡᱤᱛ ᱛᱟᱭᱚᱢ ᱫᱚᱦᱲᱟ ᱮᱛᱚᱦᱚᱵ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱩᱞᱴᱟᱹ ᱢᱟᱨᱴᱤᱝᱜᱮᱞ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱡᱚᱛᱚ ᱜᱮ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤᱵᱟᱡᱤᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤᱟᱨᱟᱜ/ᱦᱮᱸᱫᱮ, ᱵᱤᱡᱳᱲ/ᱡᱳᱲ, ᱢᱟᱨᱟᱝ/ᱦᱩᱰᱤᱧ᱾ 18 ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 1:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱠᱚ ᱫᱷᱟᱹᱨᱡᱟᱭ᱾ ᱱᱚᱶᱟ ᱵᱟᱡᱤ ᱨᱮ ᱩᱱᱠᱩ ᱡᱚᱛᱚ ᱨᱮᱭᱟᱜ ᱟᱸᱫᱟᱡᱽ ᱦᱟᱹᱱᱤᱜᱚᱱᱤᱛᱟᱸᱫᱟᱡᱽ ᱦᱟᱹᱱᱤᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝ ᱜᱩᱬ ᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱴᱟᱠᱟ; ᱢᱤᱫ ᱥᱮᱥᱚᱱ ᱟᱨᱵᱟᱝ ᱚᱠᱛᱚ ᱨᱮ ᱟᱣᱥᱚᱛ ᱛᱮ ᱦᱟᱨᱟᱣᱚᱜ ᱴᱟᱠᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ ᱡᱚᱛᱚ ᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱦᱤᱥᱟᱹᱵᱴᱟᱠᱟᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱦᱤᱥᱟᱹᱵᱢᱤᱫ ᱥᱮᱥᱚᱱ ᱟᱨᱵᱟᱝ ᱚᱠᱛᱚ ᱨᱮ ᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱴᱟᱠᱟ, ᱫᱚᱦᱲᱟ ᱞᱟᱜᱟᱣ ᱡᱤᱛ ᱴᱟᱠᱟ ᱥᱮᱞᱮᱫ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱦᱮᱱᱰᱮᱞ, ᱮᱠᱥᱚᱱ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮᱭᱟᱜ 2.70% ᱠᱟᱱᱟ, 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 → ᱴᱮᱵᱩᱞ ᱨᱮ 1.35%᱾ ᱥᱴᱨᱮᱴᱮᱡᱤ ᱥᱟᱦᱴᱟ ᱠᱚ ᱫᱚ ᱡᱚᱛᱚ ᱥᱤᱥᱴᱮᱢ ᱥᱮᱥᱚᱱ ᱨᱮᱭᱟᱜ ᱨᱩᱯ ᱪᱮᱫ ᱞᱮᱠᱟ ᱵᱚᱫᱚᱞᱟ ᱚᱱᱟ ᱠᱚ ᱩᱫᱩᱜᱟ᱾

ᱟᱨᱟᱜ ᱨᱮ $10 ᱢᱤᱫ ᱞᱮᱠᱟᱱ ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ ᱜᱮᱞ ᱥᱮᱥᱚᱱᱮᱦᱚᱵ ᱛᱩᱞᱟᱹ ᱨᱮᱡᱟᱞᱴ
+$360$0−$500+$160−$2500125250375500ᱜᱷᱩᱨᱟᱹᱣᱨᱮᱡᱟᱞᱴ
1,000 ᱥᱮᱥᱚᱱ × 500 ᱜᱷᱩᱨᱟᱹᱣ · ᱵᱮᱸᱜᱚᱱᱤ p10/p25/p75/p90, ᱯᱷᱤᱠᱟ ᱞᱤᱞ ᱢᱤᱰᱤᱭᱟᱱ, 81 ᱯᱷᱤᱠᱟ ᱱᱢᱩᱱᱟ · ᱢᱤᱫ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮᱭᱟᱜ ᱠᱣᱟᱱᱴᱟᱭᱤᱞ ᱧᱮᱞ ᱞᱟᱹᱜᱤᱫ ᱪᱟᱨᱴ ᱪᱮᱛᱟᱱ ᱛᱮ ᱢᱟᱣᱩᱥ ᱥᱟᱦᱮᱫ ᱯᱮ
  • p10 −$420
  • p25 −$280
  • ᱢᱤᱰᱤᱭᱟᱱ −$140
  • p75 +$20
  • p90 +$140
1,000 ᱥᱮᱥᱚᱱ × 500 ᱜᱷᱩᱨᱟᱹᱣ · y ᱟᱠᱥ ᱫᱚ ᱯᱟᱨᱥᱮᱱᱴᱟᱭᱤᱞ 1–99 ᱦᱟᱹᱵᱤᱡ ᱠᱟᱴᱟᱣ ᱟᱠᱟᱱᱟ (ᱢᱩᱪᱟᱹᱫ ᱜᱚᱱᱚᱝ −$500 ᱠᱷᱚᱱ +$560) · 500 ᱜᱷᱩᱨᱟᱹᱣ · $10 ᱢᱩᱞ · ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ

ᱯᱷᱤᱵᱚᱱᱟᱪᱤ ᱨᱩᱞᱮᱴ ᱥᱴᱨᱮᱴᱮᱡᱤᱞᱟᱵᱩᱥᱮᱨ ᱨᱩᱞᱮᱴ ᱥᱴᱨᱮᱴᱮᱡᱤ

ᱯᱷᱨᱮᱧᱪ ᱱᱤᱭᱚᱢ

ᱞᱟ ᱯᱟᱨᱛᱟᱡᱽ ᱟᱨᱵᱟᱝ 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 ᱱᱚᱶᱟ ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ ᱵᱟᱲᱛᱤ ᱫᱚ ᱟᱫᱷᱟ ᱦᱩᱭ ᱠᱟᱛᱮ 1.35% ᱦᱩᱭᱩᱜ-ᱟ᱾ ᱱᱚᱶᱟ ᱥᱟᱦᱴᱟ ᱨᱮ ᱡᱟᱦᱟᱸ ᱠᱷᱚᱱ ᱫᱟᱢᱤ ᱠᱟᱛᱷᱟ ᱫᱚ ᱱᱚᱶᱟ ᱜᱮ: ᱡᱩᱫᱤ ᱟᱯᱮ ᱟᱨᱟᱜ ᱨᱮ ᱵᱟᱡᱤ ᱞᱟᱜᱟᱣ ᱥᱟᱱᱟᱢ ᱠᱷᱟᱱ, ᱯᱷᱨᱮᱧᱪ ᱴᱮᱵᱩᱞ ᱯᱟᱱᱛᱮ ᱯᱮ᱾

ᱞᱟ ᱯᱟᱨᱛᱟᱡᱽ: ᱡᱤᱨᱚ ᱦᱮᱡᱠᱷᱟᱱ, ᱡᱚᱛᱚ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ ᱟᱫᱷᱟ ᱫᱚ ᱠᱷᱮᱞᱚᱸᱰ ᱴᱷᱮᱱ ᱨᱩᱣᱟᱹᱲᱚᱜ-ᱟ᱾

ᱚᱸ ᱯᱨᱤᱡᱚᱸ ᱨᱩᱞᱮᱴ ᱱᱤᱭᱚᱢᱯᱷᱨᱮᱧᱪ ᱨᱩᱞᱮᱴ

1913 ᱨᱮᱭᱟᱜ ᱞᱟᱜᱟᱛᱟᱨ

18 ᱟᱜᱚᱥᱴ 1913 ᱨᱮ ᱢᱚᱱᱴᱮ ᱠᱟᱨᱞᱚ ᱨᱮ ᱦᱮᱸᱫᱮ ᱫᱚ ᱞᱟᱜᱟᱛᱟᱨ 26 ᱫᱷᱟᱣ ᱦᱮᱡ ᱞᱮᱱᱟ᱾ ᱡᱷᱟᱞᱟ ᱜᱮᱞ ᱢᱚᱬᱮ ᱦᱮᱸᱫᱮ ᱠᱷᱚᱱ ᱠᱷᱮᱞᱚᱸᱰ ᱠᱚ ᱴᱮᱵᱩᱞ ᱜᱷᱮᱨᱟ ᱜᱟᱫᱮᱞ ᱠᱟᱛᱮ ᱟᱨᱟᱜ ᱨᱮ ᱵᱟᱡᱤ ᱠᱚ ᱞᱟᱜᱟᱣ ᱞᱮᱫᱟ ᱪᱮᱫᱟᱜ ᱥᱮ ᱚᱱᱟ ᱫᱚ “ᱦᱮᱡ ᱦᱚᱨ ᱨᱮ” ᱛᱟᱦᱮᱸᱠᱟᱱᱟ, ᱟᱨ ᱢᱤᱞᱤᱭᱚᱱ ᱯᱷᱨᱟᱸ ᱠᱚ ᱦᱟᱨᱟᱣ ᱞᱮᱫᱟ᱾ 26 ᱦᱮᱸᱫᱮ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱫᱚ (18/37)²⁶ ᱠᱟᱱᱟ, ᱡᱷᱟᱞᱟ 137 ᱢᱤᱞᱤᱭᱚᱱ ᱨᱮ ᱢᱤᱫ; ᱡᱟᱦᱟᱱᱟᱜ ᱦᱚᱲ, ᱡᱟᱦᱟᱸ ᱨᱮ ᱦᱚᱸ, ᱢᱩᱪᱟᱹᱫ ᱨᱮ ᱱᱚᱶᱟ ᱧᱮᱞ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱫᱚ ᱢᱤᱫ ᱛᱟᱦᱮᱸᱠᱟᱱᱟ᱾

ᱠᱩᱠᱞᱤ ᱠᱚ

ᱪᱮᱫ ᱟᱨᱟᱜ ᱫᱚ ᱦᱮᱸᱫᱮ ᱠᱷᱚᱱ ᱵᱮᱥᱤ ᱦᱮᱡᱚᱜ-ᱟ?

ᱵᱟᱝ᱾ ᱢᱤᱫ ᱢᱤᱫ ᱨᱮ 18᱾

ᱟᱹᱰᱤ ᱜᱟᱱ ᱦᱚᱲ ᱚᱠᱟ ᱨᱚᱝ ᱨᱮ ᱵᱟᱡᱤ ᱠᱚ ᱞᱟᱜᱟᱣᱟ?

ᱴᱮᱵᱩᱞ ᱨᱮᱭᱟᱜ ᱟᱹᱫᱚᱛ ᱵᱚᱵᱚᱛ ᱟᱹᱰᱤ ᱜᱟᱱ ᱪᱷᱟᱯᱟ ᱥᱮᱸᱫᱽᱨᱟ ᱨᱮ ᱟᱨᱟᱜ, ᱠᱚᱢ ᱯᱷᱟᱨᱟᱠ ᱛᱮ᱾ ᱚᱱᱟ ᱫᱚ ᱪᱮᱫ ᱦᱚᱸ ᱵᱟᱝ ᱵᱚᱫᱚᱞᱟ᱾

ᱪᱮᱫ ᱪᱟᱠᱟ ᱨᱮ ᱟᱨᱟᱜ ᱟᱨ ᱦᱮᱸᱫᱮ ᱢᱤᱫ ᱥᱮ ᱢᱤᱫ ᱦᱮᱡᱚᱜ-ᱟ?

ᱦᱮᱸ, ᱯᱩᱨᱟᱹ ᱛᱮ᱾ ᱞᱮᱭᱟᱣᱴ ᱨᱮ ᱩᱱᱠᱩ ᱪᱤᱛᱟᱹᱨ ᱞᱮᱠᱟ ᱧᱮᱞᱚᱜ-ᱟ ᱪᱮᱫᱟᱜ ᱥᱮ ᱞᱮᱭᱟᱣᱴ ᱫᱚ ᱞᱮᱠᱷᱟ ᱛᱷᱟᱨ ᱨᱮ ᱢᱮᱱᱟᱜ-ᱟ᱾

ᱞᱟᱸᱫᱟ ᱞᱟᱹᱜᱤᱫ ᱠᱚᱢᱤᱠ

ᱪᱟᱠᱟ ᱫᱚ ᱪᱮᱫ ᱦᱚᱸ ᱵᱟᱝ ᱩᱭᱦᱟᱹᱨᱟ᱾ ᱠᱷᱮᱞᱚᱸᱰ ᱠᱚ ᱫᱚ ᱟᱹᱰᱤ ᱵᱮᱥᱤ ᱠᱚ ᱩᱭᱦᱟᱹᱨᱟ᱾

ᱪᱟᱠᱟ ᱫᱚ ᱪᱮᱫ ᱦᱚᱸ ᱵᱟᱝ ᱩᱭᱦᱟᱹᱨᱟ᱾ ᱠᱷᱮᱞᱚᱸᱰ ᱠᱚ ᱫᱚ ᱟᱹᱰᱤ ᱵᱮᱥᱤ ᱠᱚ ᱩᱭᱦᱟᱹᱨᱟ᱾

ᱯᱷᱮᱰᱟᱛ

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010᱾ ᱪᱮᱯᱴᱟᱨ 13, ᱨᱩᱞᱮᱴ᱾
  2. Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, 3rd ed., 1968᱾ ᱡᱩᱣᱟᱲᱤᱭᱟᱜ ᱵᱟᱨᱵᱟᱫ, ᱪᱮᱯᱴᱟᱨ XIV᱾
  3. Schwartz, D. G. Roll the Bones: The History of Gambling. Gotham, 2006.
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