ꯔꯨꯂꯦꯠ ꯕꯦꯠꯁꯤꯡ · ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠ · ꯔꯨꯖ/ꯅꯣꯌꯥꯔ · ꯃꯤꯅꯤꯠ 8

ꯔꯨꯂꯦꯠ ꯑꯉꯥꯡꯕ ꯅꯠꯔꯒ ꯑꯃꯨꯕ ꯕꯦꯠ

ꯔꯨꯂꯦꯠꯇ ꯑꯉꯥꯡꯕ ꯅꯠꯔꯒ ꯑꯃꯨꯕꯅ ꯃꯆꯨ ꯑꯃꯒꯤ ꯃꯁꯤꯡ ꯇꯔꯥꯅꯤꯄꯥꯜ ꯀꯨꯞꯏ: ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠꯀꯤ ꯃꯌꯦꯛ ꯁꯦꯡꯕ ꯈꯨꯗꯝ꯫

ꯊꯨꯅ ꯄꯥꯎꯈꯨꯝ

ꯃꯁꯤꯡ ꯇꯔꯥꯅꯤꯄꯥꯜ, ꯄꯦꯑꯥꯎꯠ 1:1꯫ ꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕ 48.65%, 50% ꯅꯠꯇꯦ: ꯈꯦꯠꯅꯕ ꯑꯗꯨ ꯖꯤꯔꯣꯅꯤ꯫

ꯀꯨꯞꯄ
18 / 37
ꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕ
48.65%
ꯄꯦꯑꯥꯎꯠ
1:1
$1 ꯈꯨꯗꯤꯡꯒꯤ SD
1.00
ꯇꯦꯕꯜꯗ · ꯃꯁꯤꯡ 18
ꯆꯛꯔꯗ
0321519421225173462713361130823105241633120143192218297281235326

ꯊꯝꯕꯒꯤ ꯃꯐꯝ

ꯃꯄꯥꯟꯒꯤ ꯕꯦꯠꯁꯤꯡꯒꯤꯕꯦꯠꯃꯄꯥꯟꯒꯤ ꯕꯦꯠꯒ꯭ꯔꯤꯗꯀꯤ ꯃꯄꯥꯟꯗ ꯂꯩꯕ ꯕꯀꯁꯁꯤꯡꯗ ꯊꯝꯕ ꯕꯦꯠ: ꯗꯖꯟꯁꯤꯡ, ꯀꯂꯝꯁꯤꯡ ꯑꯃꯁꯨꯡ ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠꯁꯤꯡ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯃꯔꯛꯇ ꯂꯩꯕ ꯑꯉꯥꯡꯕꯕꯦꯠꯑꯉꯥꯡꯕꯑꯉꯥꯡꯕ ꯃꯁꯤꯡ 18 ꯗ ꯊꯝꯕ ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠ꯫ ꯐ꯭ꯔꯦꯟꯆ: ꯔꯨꯖ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯗꯥꯏꯃꯟ ꯑꯃꯁꯨꯡ ꯑꯃꯨꯕꯕꯦꯠꯑꯃꯨꯕꯑꯃꯨꯕ ꯃꯁꯤꯡ 18 ꯗ ꯊꯝꯕ ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠ꯫ ꯐ꯭ꯔꯦꯟꯆ: ꯅꯣꯌꯥꯔ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯗꯥꯏꯃꯟꯒꯤ ꯕꯛꯁꯁꯤꯡ, ꯅꯠꯔꯒ ꯐ꯭ꯔꯦꯟꯆ ꯂꯦꯑꯥꯎꯠꯈꯨꯠꯂꯥꯏꯂꯦꯑꯥꯎꯠꯇꯦꯕꯜꯗ ꯏꯔꯕ ꯕꯦꯠ ꯊꯝꯕꯒꯤ ꯒ꯭ꯔꯤꯗ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯇꯦꯕꯜ, ꯐꯦꯜꯠ, ꯀ꯭ꯂꯣꯊ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯇ ꯔꯨꯖ ꯑꯃꯁꯨꯡ ꯅꯣꯌꯥꯔ ꯍꯥꯌꯕ ꯋꯥꯍꯩꯁꯤꯡ꯫ ꯃꯈꯣꯌ ꯑꯃꯃꯃꯅ ꯇꯦꯕꯜꯒꯤ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯅꯦꯝꯕ ꯉꯝꯈꯩ ꯐꯪꯒꯗꯕꯅꯤ꯫ ꯑꯉꯥꯡꯕ ꯃꯁꯤꯡꯁꯤꯡ: 1 3 5 7 9 12 14 16 18 19 21 23 25 27 30 32 34 36꯫ ꯑꯃꯨꯕ: ꯑꯇꯣꯞꯄ ꯇꯔꯥꯅꯤꯄꯥꯜ꯫ ꯖꯤꯔꯣꯆꯛꯔꯖꯤꯔꯣꯆꯞ ꯃꯥꯟꯅꯕ, ꯗꯖꯟ ꯅꯠꯔꯒ ꯀꯂꯝ ꯕꯦꯠ ꯑꯃꯠꯇꯅ ꯀꯨꯞꯇꯕ ꯑꯁꯪꯕ ꯄꯣꯀꯦꯠ ꯑꯃꯈꯛꯇ; ꯍꯥꯎꯁ ꯑꯦꯖꯀꯤ ꯍꯧꯔꯀꯐꯝꯅꯤ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯁꯤꯡꯒꯜ ꯖꯤꯔꯣ, 0꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯁꯤ ꯑꯁꯪꯕꯅꯤ ꯑꯃꯁꯨꯡ ꯀꯔꯝꯕ ꯑꯃꯗꯁꯨ ꯌꯥꯎꯗꯦ꯫

ꯑꯉꯥꯡꯕꯗ ꯕꯣꯜ ꯂꯥꯛꯄ ꯃꯐꯝꯁ꯭ꯄꯤꯟꯁꯤꯡꯒꯤ %
ꯕꯦꯠ ꯑꯁꯤ ꯃꯥꯏꯄꯥꯛꯏ
48.65%
ꯑꯇꯣꯞꯄ ꯃꯁꯤꯡ
48.65%
ꯖꯤꯔꯣ
2.70%
ꯁ꯭ꯄꯤꯟꯁꯤꯡꯒꯤ %
024.3248.65%

ꯔꯨꯂꯦꯠ ꯇꯦꯕꯜꯒꯤ ꯉꯝꯈꯩꯁꯤꯡ

ꯔꯨꯂꯦꯠꯇ ꯑꯉꯥꯡꯕ ꯅꯠꯔꯒ ꯑꯃꯨꯕꯒꯤ ꯄꯦꯑꯥꯎꯠ ꯑꯃꯁꯨꯡ ꯃꯥꯏꯄꯥꯛꯅꯕꯒꯤ ꯑꯣꯗꯁ

37 ꯒꯤ ꯃꯅꯨꯡꯗꯒꯤ 18 ꯒꯤ ꯃꯥꯌꯣꯛꯇ ꯆꯨꯝꯃꯤꯟꯅꯕ ꯑꯣꯗꯁ 1.056 ꯗꯒꯤ 1 ꯅꯤ; ꯇꯦꯕꯜꯅ 1 ꯈꯛ ꯄꯤ꯫ ꯑꯉꯥꯡꯕꯗ ꯊꯝꯕ $10 ꯒꯤ ꯔꯨꯂꯦꯠ ꯕꯦꯠ ꯑꯃꯅ ꯃꯥꯏꯄꯥꯛꯂꯕꯗ $10 ꯍꯜꯂꯀꯏ꯫ ꯑꯦꯚꯔꯦꯖ ꯁ꯭ꯄꯤꯟ 37 ꯗ: ꯃꯥꯏꯄꯥꯛꯄ 18 (+$180), ꯃꯥꯏꯊꯤꯕ 18 (−$180), ꯖꯤꯔꯣ ꯑꯃꯥ (−$10)꯫ $370 ꯗ ꯅꯦꯠ −$10꯫

$10 × ꯁ꯭ꯄꯤꯟ 100ꯑꯉꯥꯡꯕ
ꯁ꯭ꯄꯤꯟ ꯈꯨꯗꯤꯡꯒꯤ ꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕ48.65%
ꯁ꯭ꯄꯤꯟ 100 ꯃꯅꯨꯡꯗ ꯐꯪꯒꯗꯕ ꯃꯥꯏꯄꯥꯛꯄ48.6
ꯐꯪꯒꯗꯕ ꯃꯍꯩ−$27.03
ꯁ꯭ꯇꯦꯟꯗꯔꯗ ꯗꯤꯚꯤꯌꯦꯁꯟ$100
p(ꯁ꯭ꯄꯤꯟ 100 ꯃꯅꯨꯡꯗ ꯃꯥꯏꯄꯥꯛꯄ ꯑꯃꯠꯇ ꯂꯩꯇꯕ)0.000000%
ꯃꯇꯧ ꯑꯣꯏꯅ ꯂꯥꯛꯄ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯁꯥꯡꯕ ꯃꯥꯏꯊꯤꯕꯒꯤ ꯁ꯭ꯇ꯭ꯔꯤꯛꯁ꯭ꯄꯤꯟ 7
ꯃꯥꯡꯒꯗꯕ ꯁꯦꯜ ꯑꯇꯣꯞꯄ ꯕꯦꯠ ꯈꯨꯗꯤꯡꯒꯥ ꯃꯥꯟꯅꯩ꯫ ꯅꯍꯥꯛꯅ ꯈꯅꯕꯁꯤ ꯃꯍꯩꯁꯤꯡ ꯀꯌꯥ ꯌꯥꯝꯅ ꯆꯦꯟꯊꯕꯒꯅꯤ꯫

ꯁ꯭ꯇ꯭ꯔꯤꯛꯁꯤꯡ

ꯆꯛꯔꯗ ꯑꯉꯥꯡꯕ ꯑꯃꯁꯨꯡ ꯑꯃꯨꯕ ꯑꯃꯒꯥ ꯑꯃꯒꯥ ꯍꯣꯡꯗꯣꯛꯅꯕ ꯂꯩ, ꯑꯗꯨꯕꯨ ꯃꯇꯃꯒꯤ ꯃꯇꯨꯡ ꯏꯟꯅꯥ ꯅꯠꯇꯦ꯫ ꯃꯇꯨꯡ ꯏꯟꯅꯥ ꯑꯉꯥꯡꯕ ꯇꯔꯥ ꯂꯥꯛꯄꯒꯤ ꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕꯃꯦꯊꯃꯦꯇꯤꯛꯁꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕꯃꯍꯩ ꯑꯃꯥ ꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕ, 0 ꯗꯒꯤ 1 ꯐꯥꯑꯣꯕ ꯅꯠꯔꯒ 0% ꯗꯒꯤ 100% ꯐꯥꯑꯣꯕ꯫ ꯃꯁꯤꯡ ꯑꯃꯥ: 1/37 = 2.70%꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → (18/37)¹⁰ = 0.074% ꯅꯤ, ꯁ꯭ꯄꯤꯟ ꯇꯔꯥꯒꯤ ꯋꯤꯟꯗꯣ 1,350 ꯈꯨꯗꯤꯡꯗ ꯑꯃꯨꯛ ꯃꯇꯨꯡꯗ; ꯄꯨꯡ ꯈꯨꯗꯤꯡꯗ ꯁ꯭ꯄꯤꯟ 50 ꯆꯂꯥꯏꯔꯤꯕ ꯇꯦꯕꯜ ꯀꯨꯟ ꯂꯩꯕ ꯀꯦꯁꯤꯅꯣ ꯑꯃꯗ ꯃꯁꯤ ꯅꯨꯃꯤꯠ ꯌꯥꯝꯅꯥ ꯀꯗꯥꯏꯗꯒꯨꯝꯕ ꯊꯣꯀꯏ꯫ ꯃꯁꯤ ꯑꯃꯠꯇꯅ ꯁ꯭ꯄꯤꯟ ꯇꯔꯥꯅꯤꯊꯣꯛꯀꯤ ꯃꯇꯥꯡꯗ ꯀꯔꯤꯒꯨꯝꯕ ꯑꯃꯠꯇ ꯍꯥꯌꯗꯦ, ꯃꯗꯨꯁꯨ ꯃꯃꯥꯡꯒꯤ ꯁ꯭ꯄꯤꯟ ꯈꯨꯗꯤꯡꯒꯨꯝꯅ 18/37 ꯑꯉꯥꯡꯕꯅꯤ꯫

ꯃꯇꯨꯡ ꯏꯟꯅꯥ ꯑꯉꯥꯡꯕ k ꯂꯥꯛꯄꯒꯤ ꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕ%
ꯃꯇꯨꯡ ꯏꯟꯅꯥ 2
23.67%
ꯃꯇꯨꯡ ꯏꯟꯅꯥ 3
11.51%
ꯃꯇꯨꯡ ꯏꯟꯅꯥ 4
5.60%
ꯃꯇꯨꯡ ꯏꯟꯅꯥ 5
2.72%
ꯃꯇꯨꯡ ꯏꯟꯅꯥ 6
1.33%
ꯃꯇꯨꯡ ꯏꯟꯅꯥ 8
0.314%
ꯃꯇꯨꯡ ꯏꯟꯅꯥ 10
0.074%
%
011.8323.67%
ꯍꯧꯖꯤꯛ ꯍꯧꯔꯤꯕ ꯁ꯭ꯇ꯭ꯔꯤꯛ ꯑꯃꯒꯤꯗꯃꯛ (18/37)ᵏ꯫ ꯁꯥꯡꯕ ꯁꯦꯁꯟ ꯑꯃꯗ ꯑꯁꯤꯒꯨꯝꯕ ꯁ꯭ꯇ꯭ꯔꯤꯛ ꯑꯃꯥ ꯀꯗꯥꯏꯗꯒꯨꯝꯕ ꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕꯗꯤ ꯌꯥꯝꯅꯥ ꯍꯦꯟꯅꯥ ꯋꯥꯡꯏ꯫

ꯔꯨꯂꯦꯠꯇ ꯁ꯭ꯇ꯭ꯔꯤꯛ ꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕ

ꯁꯤꯁ꯭ꯇꯦꯝꯁꯤꯡ ꯀꯔꯤꯒꯤ ꯃꯐꯝ ꯑꯁꯤꯗ ꯂꯩꯕꯒꯦ

ꯑꯉꯥꯡꯕ/ꯑꯃꯨꯕ ꯑꯁꯤ ꯇꯦꯕꯜꯗ ꯂꯩꯕ ꯄꯨꯟꯁꯤꯒꯤ ꯁꯦꯜ ꯊꯥꯗꯣꯛꯄꯒꯥ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯃꯥꯟꯅꯕꯅꯤ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯟꯁꯤꯡꯒꯤꯊꯧꯔꯥꯡꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯟꯃꯃꯥꯡꯒꯤ ꯃꯍꯩꯁꯤꯡꯒꯤ ꯃꯈꯥꯗ ꯊꯝꯂꯕ ꯁꯦꯜ ꯍꯣꯡꯍꯟꯕ ꯅꯤꯌꯝ ꯀꯔꯤꯒꯨꯝꯕ꯫ ꯅꯦꯒꯦꯇꯤꯕ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯅꯁꯤꯡꯅ ꯃꯥꯏꯊꯤꯔꯕꯥ ꯃꯇꯨꯡꯗ ꯍꯦꯅꯒꯠꯍꯜꯂꯤ, ꯄꯣꯖꯤꯇꯤꯕꯁꯤꯡꯅ ꯃꯥꯏꯄꯥꯛꯂꯕꯥ ꯃꯇꯨꯡꯗ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯃꯍꯧꯁꯥꯒꯤ ꯌꯨꯝꯐꯝ ꯑꯣꯏ: ꯃꯥꯔꯇꯤꯟꯒꯦꯜꯊꯧꯔꯥꯡꯃꯥꯔꯇꯤꯟꯒꯦꯜꯃꯥꯏꯊꯤꯕ ꯈꯨꯗꯤꯡꯒꯤ ꯃꯇꯨꯡꯗ ꯕꯦꯠ ꯑꯗꯨ ꯑꯅꯤ ꯊꯥꯛ ꯍꯦꯅꯒꯠꯍꯟꯕ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯟ꯫ ꯃꯁꯤꯅ ꯀꯔꯤ ꯇꯧꯕꯒꯦ ꯑꯃꯁꯨꯡ ꯀꯔꯤ ꯇꯧꯗꯕꯒꯦ ꯍꯥꯌꯕ ꯊꯧꯔꯥꯡꯒꯤ ꯁꯦꯛꯁꯅꯗ ꯌꯦꯡꯕꯤꯌꯨ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →, ꯗꯥꯂꯥꯝꯕꯦꯌꯔ, ꯐꯤꯕꯣꯅꯥꯆꯤꯊꯧꯔꯥꯡꯐꯤꯕꯣꯅꯥꯆꯤ1, 1, 2, 3, 5, 8, 13… ꯁꯤꯛꯋꯦꯟꯁ ꯃꯇꯨꯡ ꯏꯟꯕ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯟ: ꯃꯥꯏꯊꯤꯔꯕꯥ ꯃꯇꯨꯡꯗ ꯈꯣꯡꯊꯥꯡ ꯑꯃꯥ ꯃꯃꯥꯡꯗ, ꯃꯥꯏꯄꯥꯛꯂꯕꯥ ꯃꯇꯨꯡꯗ ꯈꯣꯡꯊꯥꯡ ꯑꯅꯤ ꯃꯇꯨꯡꯗ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →, ꯂꯥꯕꯨꯁꯦꯌꯔꯊꯧꯔꯥꯡꯂꯥꯕꯨꯁꯦꯌꯔꯀꯛꯊꯠꯄꯒꯤ ꯁꯤꯁ꯭ꯇꯦꯝ: ꯃꯁꯤꯡꯒꯤ ꯂꯥꯏꯟ ꯑꯃꯥ ꯏꯕꯤꯌꯨ, ꯃꯊꯛ ꯑꯅꯤꯒꯤ ꯄꯨꯟꯁꯤꯟꯅꯕ ꯕꯦꯠ ꯊꯝꯕꯤꯌꯨ, ꯃꯥꯏꯄꯥꯛꯂꯕꯗꯤ ꯃꯈꯣꯌ ꯀꯛꯊꯠꯄꯤꯌꯨ, ꯃꯥꯏꯊꯤꯔꯕꯗꯤ ꯃꯥꯡꯈꯤꯕ ꯊꯝꯂꯕ ꯁꯦꯜ ꯑꯗꯨ ꯍꯥꯄꯆꯤꯟꯕꯤꯌꯨ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯁꯨꯡ ꯄꯥꯔꯣꯂꯤꯊꯧꯔꯥꯡꯄꯥꯔꯣꯂꯤꯄꯣꯖꯤꯇꯤꯕ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯟ: ꯃꯥꯏꯄꯥꯛꯂꯕꯥ ꯃꯇꯨꯡꯗ ꯑꯅꯤ ꯊꯥꯛ ꯍꯦꯅꯒꯠꯍꯜꯂꯤ, ꯃꯥꯏꯊꯤꯔꯕꯥ ꯃꯇꯨꯡꯗ ꯅꯠꯔꯒ ꯃꯈꯥ ꯆꯠꯅꯅ ꯑꯃꯨꯛ ꯑꯍꯨꯝ ꯃꯥꯏꯄꯥꯛꯂꯕꯥ ꯃꯇꯨꯡꯗ ꯑꯍꯧꯕꯗ ꯍꯜꯂꯀꯏ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯔꯤꯚꯔꯁ ꯃꯥꯔꯇꯤꯟꯒꯦꯜ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯄꯨꯝꯅꯃꯛꯅ ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠꯕꯦꯠꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠꯑꯉꯥꯡꯕ/ꯑꯃꯨꯕ, ꯕꯤꯖꯣꯔ/ꯖꯣꯔ, ꯑꯋꯥꯡꯕ/ꯑꯅꯦꯝꯕ꯫ ꯃꯁꯤꯡ 18, 1:1 ꯄꯦꯑꯥꯎꯠ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯥ ꯂꯧꯏ꯫ ꯃꯈꯣꯌ ꯄꯨꯝꯅꯃꯛꯀꯤ ꯕꯦꯠ ꯑꯁꯤꯗ ꯃꯥꯡꯒꯗꯕ ꯁꯦꯜꯃꯦꯊꯃꯦꯇꯤꯛꯁꯃꯥꯡꯒꯗꯕ ꯁꯦꯜꯐꯪꯒꯗꯕ ꯃꯃꯂꯕꯨ ꯕꯦꯠ ꯊꯝꯂꯕ ꯁꯦꯜ ꯄꯨꯝꯅꯃꯛꯅ ꯃꯅꯥꯡꯕ; ꯁꯦꯁꯟ ꯅꯠꯔꯒ ꯃꯇꯝ ꯑꯃꯒꯤ ꯃꯅꯨꯡꯗ ꯃꯥꯡꯕ ꯑꯦꯚꯔꯦꯖ ꯁꯦꯜ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯁꯤ ꯄꯨꯝꯅꯃꯛ ꯇꯔꯅꯑꯣꯚꯔꯁꯦꯜꯇꯔꯅꯑꯣꯚꯔꯁꯦꯁꯟ ꯅꯠꯔꯒ ꯃꯇꯝ ꯑꯃꯒꯤ ꯃꯅꯨꯡꯗ ꯕꯦꯠ ꯊꯝꯂꯕ ꯁꯦꯜ ꯄꯨꯝꯅꯃꯛ, ꯑꯃꯨꯛ ꯍꯟꯅꯥ ꯊꯝꯂꯕ ꯃꯥꯏꯄꯥꯛꯇꯨꯅ ꯐꯪꯂꯕ ꯁꯦꯜꯁꯨ ꯌꯥꯎꯅ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯍꯦꯟꯗꯜ, ꯑꯦꯛꯁꯟ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯒꯤ 2.70% ꯅꯤ, ꯂꯥ ꯄꯥꯔꯇꯥꯖꯅꯤꯌꯝꯂꯥ ꯄꯥꯔꯇꯥꯖꯐ꯭ꯔꯦꯟꯆ ꯅꯤꯌꯝ: ꯖꯤꯔꯣ ꯊꯣꯛꯂꯕꯗꯤ ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠꯀꯤ ꯊꯝꯂꯕ ꯁꯦꯜꯒꯤ ꯁꯔꯨꯛ ꯑꯍꯦꯟꯕ ꯍꯜꯂꯀꯏ꯫ ꯕꯦꯠ ꯑꯗꯨꯁꯤꯡꯒꯤ ꯍꯥꯎꯁ ꯑꯦꯖ 1.35% ꯐꯥꯑꯣꯕ ꯁꯔꯨꯛ ꯑꯅꯤꯗ ꯊꯥꯖꯤꯜꯂꯤ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯇꯦꯕꯜꯗ 1.35%꯫ ꯊꯧꯔꯥꯡꯒꯤ ꯂꯃꯥꯏꯁꯤꯡꯅ ꯃꯈꯣꯌ ꯑꯃꯃꯃꯅ ꯁꯦꯁꯟ ꯑꯃꯒꯤ ꯃꯑꯣꯡꯗ ꯀꯔꯤ ꯇꯧꯕꯒꯦ ꯎꯠꯂꯤ꯫

ꯑꯉꯥꯡꯕꯗ $10 ꯐ꯭ꯂꯦꯠ ꯊꯝꯕ ꯁꯦꯁꯟ ꯇꯔꯥꯍꯧꯔꯛꯐꯃꯒꯥ ꯆꯥꯡꯗꯝꯅꯕ ꯃꯍꯩ
+$360$0−$500+$160−$2500125250375500ꯁ꯭ꯄꯤꯟꯃꯍꯩ
ꯁꯦꯁꯟ 1,000 × ꯁ꯭ꯄꯤꯟ 500 · ꯃꯆꯨ ꯑꯃꯨ-ꯂꯩꯃꯜ p10/p25/p75/p90, ꯑꯉꯧ-ꯑꯁꯪꯕ ꯃꯤꯗꯤꯌꯥꯟ, ꯃꯌꯥꯏꯕ ꯈꯨꯗꯝ 81 · ꯁ꯭ꯄꯤꯟ ꯑꯃꯗ ꯀ꯭ꯕꯥꯟꯇꯥꯏꯜ ꯎꯅꯕ ꯆꯥꯔꯠꯀꯤ ꯃꯊꯛꯇ ꯃꯧꯁ ꯆꯠꯍꯅꯕꯤꯌꯨ
  • p10 −$420
  • p25 −$280
  • ꯃꯤꯗꯤꯌꯥꯟ −$140
  • p75 +$20
  • p90 +$140
ꯁꯦꯁꯟ 1,000 × ꯁ꯭ꯄꯤꯟ 500 · y-ꯑꯦꯛꯁꯤꯁ 1ꯁꯨꯕ–99ꯁꯨꯕ ꯄꯔꯁꯦꯟꯇꯥꯏꯜ ꯐꯥꯑꯣꯕꯥ ꯀꯛꯊꯠꯂꯤ (ꯑꯔꯣꯏꯕ ꯃꯁꯤꯡ −$500ꯗꯒꯤ +$560ꯐꯥꯑꯣꯕꯥ) · ꯁ꯭ꯄꯤꯟ 500 · ꯍꯧꯔꯛꯐꯝ $10 · ꯆꯞ ꯃꯥꯟꯅꯕ

ꯐꯤꯕꯣꯅꯥꯆꯤ ꯔꯨꯂꯦꯠ ꯊꯧꯔꯥꯡꯂꯥꯕꯨꯁꯦꯌꯔ ꯔꯨꯂꯦꯠ ꯊꯧꯔꯥꯡ

ꯐ꯭ꯔꯦꯟꯆ ꯅꯤꯌꯝꯁꯤꯡ

ꯂꯥ ꯄꯥꯔꯇꯥꯖ ꯅꯠꯔꯒ ꯑꯣꯡ ꯄ꯭ꯔꯤꯖꯣꯡꯅꯤꯌꯝꯑꯣꯡ ꯄ꯭ꯔꯤꯖꯣꯡꯐ꯭ꯔꯦꯟꯆ ꯅꯤꯌꯝ: ꯖꯤꯔꯣ ꯊꯣꯛꯂꯕꯗꯤ ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠ ꯑꯗꯨ ꯃꯥꯡꯗꯅ ꯃꯊꯪꯒꯤ ꯁ꯭ꯄꯤꯟꯒꯤꯗꯃꯛ ꯊꯝꯃꯤ꯫ ꯕꯦꯠ ꯑꯗꯨꯁꯤꯡꯗ ꯍꯥꯎꯁ ꯑꯦꯖ ꯁꯔꯨꯛ ꯑꯅꯤꯗ ꯊꯥꯖꯤꯜꯂꯤ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯂꯩꯔꯕꯗ ꯕꯦꯠ ꯑꯁꯤꯒꯤ ꯑꯦꯖ ꯁꯔꯨꯛ ꯑꯍꯦꯟꯕ ꯑꯣꯏꯔꯛꯇꯨꯅ 1.35% ꯑꯣꯏ꯫ ꯃꯁꯤ ꯂꯃꯥꯏ ꯑꯁꯤꯗ ꯂꯩꯕ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯃꯃꯜ ꯂꯩꯕ ꯋꯥꯐꯝꯅꯤ: ꯅꯍꯥꯛꯅ ꯑꯉꯥꯡꯕꯗ ꯕꯦꯠ ꯊꯝꯒꯗꯕ ꯑꯣꯏꯔꯕꯗ, ꯐ꯭ꯔꯦꯟꯆ ꯇꯦꯕꯜ ꯑꯃꯥ ꯊꯤꯕꯤꯌꯨ꯫

ꯂꯥ ꯄꯥꯔꯇꯥꯖ: ꯖꯤꯔꯣ ꯂꯥꯀꯄꯥ ꯃꯇꯃꯗ, ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠ ꯈꯨꯗꯤꯡꯒꯤ ꯁꯔꯨꯛ ꯑꯍꯦꯟꯕ ꯁꯥꯟꯅꯔꯤꯕꯗ ꯍꯜꯂꯀꯏ꯫

ꯑꯣꯡ ꯄ꯭ꯔꯤꯖꯣꯡ ꯔꯨꯂꯦꯠ ꯅꯤꯌꯝꯐ꯭ꯔꯦꯟꯆ ꯔꯨꯂꯦꯠ

1913 ꯒꯤ ꯁ꯭ꯇ꯭ꯔꯤꯛ

18 ꯑꯣꯒꯁ꯭ꯠ 1913 ꯗ ꯃꯣꯟꯇꯦ ꯀꯥꯔꯂꯣꯗ ꯑꯃꯨꯕ ꯃꯇꯨꯡ ꯏꯟꯅꯥ ꯑꯃꯨꯛ 26 ꯂꯥꯀꯈꯤ꯫ ꯑꯃꯨꯕ ꯇꯔꯥꯃꯉꯥꯁꯨꯕ ꯃꯇꯨꯡꯗꯒꯤ ꯁꯥꯟꯅꯔꯤꯕꯁꯤꯡꯅ ꯇꯦꯕꯜ ꯑꯗꯨ ꯀꯣꯏꯁꯤꯟꯈꯤ, ꯑꯉꯥꯡꯕ “ꯂꯥꯛꯀꯗꯕ ꯃꯇꯝ ꯌꯧꯔꯦ” ꯍꯥꯌꯅ ꯑꯉꯥꯡꯕꯗ ꯕꯦꯠ ꯊꯃꯈꯤ, ꯑꯃꯁꯨꯡ ꯐ꯭ꯔꯥꯉ꯭ꯛ ꯂꯤꯆꯥ ꯀꯌꯥ ꯃꯥꯡꯈꯤ꯫ ꯑꯃꯨꯕ 26 ꯂꯥꯛꯄꯒꯤ ꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕ (18/37)²⁶ ꯅꯤ, ꯃꯤꯂꯤꯌꯟ 137 ꯗ ꯑꯃꯥ ꯃꯇꯨꯡꯗ; ꯀꯅꯥꯒꯨꯝꯕ ꯑꯃꯅ, ꯀꯗꯥꯏꯗꯒꯨꯝꯕ, ꯑꯔꯣꯏꯕꯗ ꯃꯁꯤ ꯎꯒꯅꯤ ꯍꯥꯌꯕꯒꯤ ꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕꯗꯤ ꯑꯃꯥ ꯅꯤ, ꯍꯥꯌꯕꯗꯤ ꯁꯣꯏꯗꯅ ꯊꯣꯛꯀꯗꯕꯅꯤ꯫

ꯋꯥꯍꯪꯁꯤꯡ

ꯑꯉꯥꯡꯕ ꯑꯁꯤ ꯑꯃꯨꯕꯗꯒꯤ ꯍꯦꯟꯅ ꯂꯥꯛꯄꯥ ꯌꯥꯕ꯭ꯔꯥ?

ꯅꯠꯇꯦ꯫ ꯑꯃꯃꯃꯗ 18꯫

ꯃꯤ ꯌꯥꯝꯅꯥ ꯀꯔꯝꯕ ꯃꯆꯨꯗ ꯕꯦꯠ ꯊꯝꯕꯒꯦ?

ꯇꯦꯕꯜꯗ ꯃꯤꯑꯣꯏꯁꯤꯡꯅ ꯇꯧꯕꯒꯤ ꯃꯇꯥꯡꯗ ꯐꯣꯡꯗꯣꯀꯈꯤꯕ ꯊꯤꯖꯤꯟꯕ ꯌꯥꯝꯅꯥ ꯀꯌꯥꯗ ꯑꯉꯥꯡꯕ, ꯈꯔꯥ ꯍꯦꯟꯅ꯫ ꯃꯁꯤꯅ ꯀꯔꯤꯒꯨꯝꯕ ꯑꯃꯠꯇ ꯍꯣꯡꯗꯣꯛꯇꯦ꯫

ꯆꯛꯔꯗ ꯑꯉꯥꯡꯕ ꯑꯃꯁꯨꯡ ꯑꯃꯨꯕ ꯑꯃꯒꯥ ꯑꯃꯒꯥ ꯍꯣꯡꯗꯣꯛꯅꯕꯔꯥ?

ꯍꯣꯌ, ꯃꯄꯨꯡ ꯐꯥꯅ꯫ ꯂꯦꯑꯥꯎꯠꯇꯗꯤ ꯃꯈꯣꯌ ꯆꯦꯟꯊꯔꯛꯂꯤꯕꯒꯨꯝ ꯎꯏ, ꯃꯔꯃꯗꯤ ꯂꯦꯑꯥꯎꯠ ꯑꯁꯤ ꯃꯁꯤꯡ ꯊꯤꯕꯒꯤ ꯃꯇꯨꯡ ꯏꯟꯅꯥ ꯂꯩ꯫

ꯅꯣꯛꯅꯕꯒꯤ ꯀꯃꯤꯛ

ꯆꯛꯔꯗ ꯅꯤꯡꯁꯤꯡꯕ ꯂꯩꯇꯦ꯫ ꯁꯥꯟꯅꯔꯤꯕꯁꯤꯡꯗꯤ ꯌꯥꯝꯅꯥ ꯂꯩ꯫

ꯆꯛꯔꯗ ꯅꯤꯡꯁꯤꯡꯕ ꯂꯩꯇꯦ꯫ ꯁꯥꯟꯅꯔꯤꯕꯁꯤꯡꯗꯤ ꯌꯥꯝꯅꯥ ꯂꯩ꯫

ꯍꯧꯔꯛꯐꯃꯁꯤꯡ

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010꯫ ꯆꯦꯞꯇꯔ 13, ꯔꯨꯂꯦꯠ꯫
  2. Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, ꯑꯦꯗꯤꯁꯟ 3, 1968꯫ ꯖꯨꯌꯥ ꯁꯥꯟꯅꯔꯤꯕꯒꯤ ꯃꯥꯡꯍꯟ ꯇꯥꯀꯍꯟꯕ (gambler’s ruin), ꯆꯦꯞꯇꯔ XIV꯫
  3. Schwartz, D. G. Roll the Bones: The History of Gambling. Gotham, 2006꯫
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