ꯔꯨꯂꯦꯠꯀꯤ ꯃꯦꯊꯃꯦꯇꯤꯛꯁ · ꯁꯤꯖꯤꯟꯅꯕ · ꯃꯤꯅꯤꯠ 7

ꯃꯥꯡꯒꯗꯕ ꯁꯦꯜ

ꯐꯪꯒꯗꯕ ꯃꯃꯂꯕꯨ ꯅꯍꯥꯛꯅ ꯊꯝꯕ ꯄꯨꯝꯅꯃꯛꯅ ꯃꯔꯥꯡ ꯀꯥꯏꯕ: ꯁꯦꯁꯟ ꯑꯃꯒꯤ ꯑꯦꯚꯔꯦꯖ ꯃꯃꯜ꯫

ꯊꯨꯅ ꯄꯥꯎꯈꯨꯝ

ꯃꯥꯡꯒꯗꯕ ꯁꯦꯜ = ꯊꯝꯂꯕ ꯁꯦꯜ ꯄꯨꯝꯅꯃꯛ × 1/37꯫ $10 ꯊꯝꯗꯨꯅ ꯁ꯭ꯄꯤꯟ 100: $1,000 ꯊꯝꯂꯦ, ꯃꯥꯡꯒꯗꯕ ꯁꯦꯜ $27꯫ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯅꯁꯤꯡꯅ ꯍꯦꯟꯅꯥ ꯊꯝꯃꯤ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯃꯈꯣꯌꯅ ꯍꯦꯟꯅꯥ ꯃꯥꯡꯏ꯫

ꯊꯝꯂꯕ $1 ꯈꯨꯗꯤꯡꯗ
$0.027
$10 × ꯁ꯭ꯄꯤꯟ 100
$27
$10 × 50/h
$13.50 / ꯄꯨꯡ
ꯆꯍꯤ ꯈꯨꯗꯤꯡꯗ, ꯍꯞꯇꯥ ꯈꯨꯗꯤꯡ
≈ $700

ꯇꯔꯅꯑꯣꯚꯔꯅꯤ, ꯕꯦꯡꯀꯔꯣꯜ ꯅꯠꯇꯦ

ꯃꯥꯡꯒꯗꯕ ꯁꯦꯜꯃꯦꯊꯃꯦꯇꯤꯛꯁꯃꯥꯡꯒꯗꯕ ꯁꯦꯜꯐꯪꯒꯗꯕ ꯃꯃꯂꯕꯨ ꯕꯦꯠ ꯊꯝꯂꯕ ꯁꯦꯜ ꯄꯨꯝꯅꯃꯛꯅ ꯃꯅꯥꯡꯕ; ꯁꯦꯁꯟ ꯅꯠꯔꯒ ꯃꯇꯝ ꯑꯃꯒꯤ ꯃꯅꯨꯡꯗ ꯃꯥꯡꯕ ꯑꯦꯚꯔꯦꯖ ꯁꯦꯜ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯁꯤ ꯇꯦꯕꯜ ꯑꯗꯨꯗ ꯀꯌꯥ ꯆꯠꯂꯤꯕꯒꯦ ꯍꯥꯌꯕꯗ ꯃꯈꯥ ꯄꯣꯟꯏ, ꯅꯍꯥꯛꯅ ꯀꯌꯥ ꯄꯨꯔꯀꯈꯤꯕꯒꯦ ꯍꯥꯌꯕꯗ ꯅꯠꯇꯦ꯫ ꯑꯃꯨꯛ ꯀꯌꯥ ꯍꯟꯅꯥ ꯊꯝꯂꯕ $100 ꯒꯤ ꯕꯦꯡꯀꯔꯣꯜꯁꯦꯜꯕꯦꯡꯀꯔꯣꯜꯁꯥꯟꯅꯅꯕ ꯇꯣꯉꯥꯟꯅ ꯊꯝꯂꯕ ꯁꯦꯜ ꯄꯨꯝꯅꯃꯛ꯫ ꯕꯦꯡꯀꯔꯣꯜ ꯃꯦꯅꯦꯖꯃꯦꯟꯠ ꯍꯥꯌꯕꯁꯤ ꯃꯗꯨꯒꯤ ꯀꯌꯥ ꯕꯦꯠ ꯈꯨꯗꯤꯡꯗ ꯑꯃꯁꯨꯡ ꯁꯦꯁꯟ ꯈꯨꯗꯤꯡꯗ ꯈꯨꯗꯣꯡꯊꯤꯕꯗ ꯊꯃꯒꯗꯒꯦ ꯍꯥꯌꯕ ꯋꯥꯔꯦꯞ ꯂꯧꯕꯅꯤ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯅ $2,000 ꯒꯤ ꯇꯔꯅꯑꯣꯚꯔꯁꯦꯜꯇꯔꯅꯑꯣꯚꯔꯁꯦꯁꯟ ꯅꯠꯔꯒ ꯃꯇꯝ ꯑꯃꯒꯤ ꯃꯅꯨꯡꯗ ꯕꯦꯠ ꯊꯝꯂꯕ ꯁꯦꯜ ꯄꯨꯝꯅꯃꯛ, ꯑꯃꯨꯛ ꯍꯟꯅꯥ ꯊꯝꯂꯕ ꯃꯥꯏꯄꯥꯛꯇꯨꯅ ꯐꯪꯂꯕ ꯁꯦꯜꯁꯨ ꯌꯥꯎꯅ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯍꯦꯟꯗꯜ, ꯑꯦꯛꯁꯟ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯁꯨꯡ $54 ꯒꯤ ꯃꯥꯡꯒꯗꯕ ꯁꯦꯜ ꯄꯨꯕ ꯌꯥꯏ; ꯑꯉꯥꯡꯕꯕꯦꯠꯑꯉꯥꯡꯕꯑꯉꯥꯡꯕ ꯃꯁꯤꯡ 18 ꯗ ꯊꯝꯕ ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠ꯫ ꯐ꯭ꯔꯦꯟꯆ: ꯔꯨꯖ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯗ ꯑꯃꯨꯛ ꯊꯝꯂꯕ $10,000 ꯒꯤ ꯕꯦꯡꯀꯔꯣꯜ ꯑꯃꯅ $10,000 ꯒꯤ ꯇꯔꯅꯑꯣꯚꯔ ꯑꯃꯁꯨꯡ $270 ꯄꯨꯏ꯫ ꯀꯦꯁꯤꯅꯣꯒꯤ ꯁꯦꯜ ꯐꯪꯕ ꯑꯁꯤ ꯂꯝꯕꯤꯗ ꯆꯠꯂꯤꯕꯁꯤꯡꯗꯒꯤ ꯂꯧꯕ ꯂꯧꯁꯦꯜ ꯑꯃꯅꯤ, ꯑꯃꯁꯨꯡ ꯆꯠꯂꯤꯕꯁꯤꯡ ꯑꯗꯨ ꯁ꯭ꯄꯤꯟ ꯈꯨꯗꯤꯡꯃꯛꯀꯤ ꯆꯤꯞꯁꯦꯜꯆꯤꯞꯂꯦꯞꯂꯕ ꯁꯦꯜꯒꯤ ꯃꯃꯜ ꯇꯥꯛꯄ ꯇꯣꯀꯟ, ꯕꯦꯠ ꯊꯝꯅꯕ ꯂꯦꯑꯥꯎꯠꯇ ꯊꯝꯃꯤ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯆꯦꯛ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯈꯨꯗꯤꯡꯃꯛꯅꯤ꯫

ꯐꯣꯔꯃꯨꯂꯥ

E[ꯃꯥꯡꯕ] = Σ ꯊꯝꯂꯕ ꯁꯦꯜ / 37꯫ ꯍꯣꯡꯗꯕ ꯁꯦꯜ ꯊꯝꯕ ꯃꯤ ꯑꯃꯒꯤꯗꯃꯛ ꯃꯁꯤ ꯊꯝꯂꯕ ꯁꯦꯜ × ꯁ꯭ꯄꯤꯟ / 37 ꯅꯤ꯫ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯟꯊꯧꯔꯥꯡꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯟꯃꯃꯥꯡꯒꯤ ꯃꯍꯩꯁꯤꯡꯒꯤ ꯃꯈꯥꯗ ꯊꯝꯂꯕ ꯁꯦꯜ ꯍꯣꯡꯍꯟꯕ ꯅꯤꯌꯝ ꯀꯔꯤꯒꯨꯝꯕ꯫ ꯅꯦꯒꯦꯇꯤꯕ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯅꯁꯤꯡꯅ ꯃꯥꯏꯊꯤꯔꯕꯥ ꯃꯇꯨꯡꯗ ꯍꯦꯅꯒꯠꯍꯜꯂꯤ, ꯄꯣꯖꯤꯇꯤꯕꯁꯤꯡꯅ ꯃꯥꯏꯄꯥꯛꯂꯕꯥ ꯃꯇꯨꯡꯗ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯒꯤꯗꯃꯛ ꯃꯁꯤ ꯑꯦꯚꯔꯦꯖ ꯊꯝꯂꯕ ꯁꯦꯜ × ꯁ꯭ꯄꯤꯟ / 37 ꯅꯤ, ꯑꯃꯁꯨꯡ ꯑꯦꯚꯔꯦꯖ ꯊꯝꯂꯕ ꯁꯦꯜ ꯑꯁꯤ ꯌꯨꯝꯐꯃꯗꯒꯤ ꯍꯦꯟꯅꯥ ꯋꯥꯡꯏ, ꯃꯔꯃꯗꯤ ꯃꯥꯏꯊꯤꯕ ꯃꯈꯥ ꯆꯠꯂꯤꯉꯩꯗ ꯊꯝꯂꯕ ꯁꯦꯜ ꯍꯦꯅꯒꯠꯂꯀꯏ꯫ $500 ꯒꯤ ꯉꯝꯈꯩꯗ $10 ꯒꯤ ꯌꯨꯝꯐꯃꯗꯒꯤ ꯍꯧꯕ ꯃꯥꯔꯇꯤꯟꯒꯦꯜꯊꯧꯔꯥꯡꯃꯥꯔꯇꯤꯟꯒꯦꯜꯃꯥꯏꯊꯤꯕ ꯈꯨꯗꯤꯡꯒꯤ ꯃꯇꯨꯡꯗ ꯕꯦꯠ ꯑꯗꯨ ꯑꯅꯤ ꯊꯥꯛ ꯍꯦꯅꯒꯠꯍꯟꯕ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯟ꯫ ꯃꯁꯤꯅ ꯀꯔꯤ ꯇꯧꯕꯒꯦ ꯑꯃꯁꯨꯡ ꯀꯔꯤ ꯇꯧꯗꯕꯒꯦ ꯍꯥꯌꯕ ꯊꯧꯔꯥꯡꯒꯤ ꯁꯦꯛꯁꯅꯗ ꯌꯦꯡꯕꯤꯌꯨ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯁꯤ ꯃꯇꯝ ꯁꯥꯡꯕ ꯁꯦꯁꯟ ꯑꯃꯗ ꯁ꯭ꯄꯤꯟ ꯈꯨꯗꯤꯡꯗ ꯑꯦꯚꯔꯦꯖꯗ $28 ꯃꯔꯛ ꯊꯝꯃꯤ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯃꯁꯤꯅ ꯍꯣꯡꯗꯕ $10 ꯊꯝꯕꯗꯒꯤ ꯑꯃꯨꯛ ꯑꯍꯨꯝ ꯃꯔꯛ ꯍꯦꯟꯅꯥ ꯃꯥꯡꯏ, ꯀꯔꯤꯒꯨꯝꯕ ꯕꯦꯠ ꯑꯃꯒꯤ ꯑꯣꯗꯁ ꯍꯣꯡꯗꯅ꯫

ꯁꯥꯟꯅꯕꯒꯤ ꯃꯑꯣꯡꯑꯦꯚꯔꯦꯖ ꯊꯝꯂꯕ ꯁꯦꯜꯁ꯭ꯄꯤꯟ 100 ꯗ ꯊꯝꯂꯕꯃꯥꯡꯒꯗꯕ ꯁꯦꯜ
ꯍꯣꯡꯗꯕ $10$10$1,000$27
ꯗꯥꯂꯥꯝꯕꯦꯌꯔ, $10 ꯌꯨꯝꯐꯝ≈ $14≈ $1,400≈ $38
ꯐꯤꯕꯣꯅꯥꯆꯤ, $10 ꯌꯨꯝꯐꯝ≈ $17≈ $1,700≈ $45
ꯃꯥꯔꯇꯤꯟꯒꯦꯜ, $10 ꯌꯨꯝꯐꯝ, $500 ꯉꯝꯈꯩ≈ $28≈ $2,800≈ $75
ꯍꯣꯡꯗꯕ $10, ꯂꯥ ꯄꯥꯔꯇꯥꯖ ꯇꯦꯕꯜ$10$1,000$13.50
ꯁꯤꯃꯨꯂꯦꯁꯟ ꯇꯧꯔꯕ ꯑꯦꯚꯔꯦꯖꯁꯤꯡ꯫ ꯑꯔꯣꯏꯕ ꯑꯗꯨ ꯅꯠꯇꯅ ꯂꯥꯏꯟ ꯈꯨꯗꯤꯡꯃꯛꯇ ꯗꯣꯂꯥꯔ ꯈꯨꯗꯤꯡꯒꯤ ꯑꯦꯖ 2.70% ꯅꯤ꯫

ꯐ꯭ꯂꯦꯠ ꯕꯦꯇꯤꯡ ꯔꯨꯂꯦꯠ ꯊꯧꯔꯥꯡ

ꯊꯨꯅꯕ

ꯂꯥꯏꯕ ꯇꯦꯕꯜꯁꯤꯡꯅ ꯄꯨꯡ ꯑꯃꯗ ꯁ꯭ꯄꯤꯟ 40–60 ꯆꯂꯥꯏ, ꯀꯦꯁꯤꯅꯣ ꯐ꯭ꯂꯣꯔꯁꯤꯡꯅ 30–50, ꯁ꯭ꯄꯤꯗ ꯇꯦꯕꯜꯁꯤꯡꯅ 90 ꯅꯠꯔꯒ ꯍꯦꯟꯅꯥ, RNG ꯇꯦꯕꯜꯁꯤꯡꯅ ꯅꯍꯥꯛꯅ ꯀ꯭ꯂꯤꯛ ꯇꯧꯕ ꯌꯥꯕꯃꯛ ꯊꯨꯅ꯫ ꯊꯝꯂꯕ ꯁꯦꯜ ꯃꯥꯟꯅꯔꯕꯗ ꯊꯨꯅꯕ ꯑꯁꯤ ꯄꯨꯡ ꯈꯨꯗꯤꯡꯒꯤ ꯃꯥꯡꯒꯗꯕ ꯁꯦꯜꯗ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯆꯥꯎꯕ ꯁꯣꯀꯍꯟꯕꯅꯤ: ꯇꯞꯅ ꯆꯠꯂꯤꯕ ꯐ꯭ꯂꯣꯔ ꯇꯦꯕꯜ ꯑꯃꯗꯒꯤ ꯄꯨꯡ ꯑꯃꯗ ꯁ꯭ꯄꯤꯟ 200 ꯁꯥꯟꯅꯕ RNG ꯇꯦꯕꯜ ꯑꯃꯗ ꯆꯠꯄꯅ ꯑꯣꯗꯁ ꯀꯔꯤꯁꯨ ꯍꯣꯡꯗꯅ ꯅꯨꯃꯤꯗꯥꯡꯒꯤ ꯃꯃꯜ ꯃꯔꯤ ꯊꯥꯛ ꯍꯦꯅꯒꯠꯍꯜꯂꯤ꯫

ꯁ꯭ꯄꯤꯟ ꯈꯨꯗꯤꯡꯗ $10 ꯊꯝꯂꯕꯗ ꯄꯨꯡ ꯈꯨꯗꯤꯡꯒꯤ ꯃꯥꯡꯒꯗꯕ ꯁꯦꯜꯄꯨꯡ ꯈꯨꯗꯤꯡꯗ $
ꯀꯦꯁꯤꯅꯣ ꯐ꯭ꯂꯣꯔ · 40/h
$10.81
ꯂꯥꯏꯕ ꯇꯦꯕꯜ · 55/h
$14.86
ꯁ꯭ꯄꯤꯗ ꯂꯥꯏꯕ · 100/h
$27.03
RNG · 200/h
$54.05
ꯄꯨꯡ ꯈꯨꯗꯤꯡꯗ $
027.03$54.05
ꯊꯝꯂꯕ ꯁꯦꯜ × ꯄꯨꯡ ꯈꯨꯗꯤꯡꯒꯤ ꯁ꯭ꯄꯤꯟ / 37꯫ ꯊꯨꯅꯕ ꯑꯁꯤ ꯄꯨꯡ ꯑꯃꯒꯤ ꯃꯃꯂꯗ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯆꯥꯎꯕ ꯁꯣꯀꯍꯟꯕꯅꯤ꯫

ꯂꯥꯏꯕ ꯔꯨꯂꯦꯠ ꯑꯃꯁꯨꯡ RNG ꯔꯨꯂꯦꯠ

ꯆꯍꯤ ꯑꯃꯗ

ꯁ꯭ꯄꯤꯟ 50 ꯂꯩꯕ ꯂꯥꯏꯕ ꯇꯦꯕꯜ ꯑꯃꯗ ꯍꯞꯇꯥ ꯑꯃꯗ ꯄꯨꯡ ꯑꯅꯤ $10 ꯊꯝꯗꯨꯅ ꯁꯥꯟꯅꯕ ꯃꯍꯧꯁꯥꯒꯤ ꯁꯥꯟꯅꯔꯤꯕ ꯑꯃꯅ ꯆꯍꯤ ꯑꯃꯗ $52,000 ꯇꯔꯅꯑꯣꯚꯔ ꯇꯧꯏ ꯑꯃꯁꯨꯡ ꯌꯨꯔꯣꯄꯤꯌꯟ ꯆꯛꯔꯗ ꯃꯥꯡꯒꯗꯕ ꯁꯦꯜ $1,400 ꯃꯔꯛ, ꯐ꯭ꯔꯦꯟꯆ ꯆꯛꯔꯗ $700, ꯑꯃꯦꯔꯤꯀꯟ ꯆꯛꯔꯗ $2,700 ꯄꯤ꯫ ꯊꯤꯖꯤꯟꯕ ꯑꯁꯤ ꯅꯨꯡꯉꯥꯏꯗꯦ ꯑꯗꯨꯕꯨ ꯃꯍꯩ ꯑꯗꯨ ꯑꯁꯨꯛ ꯃꯔꯨ ꯑꯣꯏ: ꯆꯛꯔ ꯑꯃꯁꯨꯡ ꯇꯦꯕꯜ ꯈꯅꯕ ꯑꯁꯤ ꯀꯔꯤꯒꯨꯝꯕ ꯁꯤꯁ꯭ꯇꯦꯝ ꯑꯃꯗꯒꯤ ꯂꯣꯏꯕ ꯅꯥꯏꯗꯅ ꯍꯦꯟꯅꯥ ꯃꯃꯜ ꯂꯩ, ꯃꯔꯃꯗꯤ ꯁꯤꯁ꯭ꯇꯦꯝꯁꯤꯡꯒꯤ ꯃꯃꯜ ꯇꯁꯦꯡꯅ ꯖꯤꯔꯣꯆꯛꯔꯖꯤꯔꯣꯆꯞ ꯃꯥꯟꯅꯕ, ꯗꯖꯟ ꯅꯠꯔꯒ ꯀꯂꯝ ꯕꯦꯠ ꯑꯃꯠꯇꯅ ꯀꯨꯞꯇꯕ ꯑꯁꯪꯕ ꯄꯣꯀꯦꯠ ꯑꯃꯈꯛꯇ; ꯍꯥꯎꯁ ꯑꯦꯖꯀꯤ ꯍꯧꯔꯀꯐꯝꯅꯤ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯁꯤꯡꯒꯜ ꯖꯤꯔꯣ, 0꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯅꯤ꯫

ꯆꯍꯤ ꯈꯨꯗꯤꯡꯒꯤ ꯃꯥꯡꯒꯗꯕ ꯁꯦꯜ: ꯍꯞꯇꯥꯗ 2 h, ꯁ꯭ꯄꯤꯟ ꯈꯨꯗꯤꯡꯗ $10, 50 ꯁ꯭ꯄꯤꯟ/h$
ꯐ꯭ꯔꯦꯟꯆ (ꯆꯞ ꯃꯥꯟꯅꯕ)
$702
ꯌꯨꯔꯣꯄꯤꯌꯟ
$1,405
ꯑꯃꯦꯔꯤꯀꯟ
$2,737
ꯁ꯭ꯄꯤꯗ ꯇꯦꯕꯜ, ꯌꯨꯔꯣꯄꯤꯌꯟ, 100/h
$2,811
$
01405.50$2,811

ꯀꯔꯤꯒꯨꯝꯕ ꯕꯦꯡꯛ ꯑꯃꯗꯒꯤ ꯍꯦꯟꯅꯥ ꯃꯃꯜ ꯂꯩꯕ ꯁꯥꯟꯅꯕ ꯑꯃꯥ

1713 ꯗ ꯅꯤꯀꯣꯂꯥꯎꯁ ꯕꯥꯔꯅꯨꯂꯤꯅ ꯄꯤꯈꯤꯕ ꯁꯦꯟꯠ ꯄꯤꯇꯔꯁꯕꯔꯒꯀꯤ ꯁꯥꯟꯅꯕ ꯑꯁꯤꯗ ꯀꯣꯏꯟ ꯑꯃꯥ ꯃꯀꯣꯛ ꯊꯣꯀꯄ ꯐꯥꯑꯣꯕ ꯊꯥꯗꯣꯀꯏ ꯑꯃꯁꯨꯡ ꯃꯗꯨꯒꯤꯗꯃꯛ ꯑꯃꯨꯛ ꯑꯃꯥ ꯃꯊꯧ ꯇꯥꯔꯕꯗ $2, ꯑꯅꯤ ꯇꯥꯔꯕꯗ $4, ꯑꯍꯨꯝ ꯇꯥꯔꯕꯗ $8 ꯄꯤ, ꯑꯃꯨꯛ ꯈꯨꯗꯤꯡꯗ ꯑꯅꯤ ꯊꯥꯛ ꯍꯦꯅꯒꯠꯍꯟꯗꯨꯅ꯫ ꯌꯥꯕ ꯁꯥꯡꯕ ꯈꯨꯗꯤꯡꯃꯛꯅ ꯐꯪꯒꯗꯕ ꯃꯃꯜꯃꯦꯊꯃꯦꯇꯤꯛꯁꯐꯪꯒꯗꯕ ꯃꯃꯜꯃꯇꯝ ꯁꯥꯡꯅ ꯌꯦꯡꯂꯕꯗ ꯕꯦꯠ ꯑꯃꯒꯤ ꯑꯦꯚꯔꯦꯖ ꯃꯍꯩ꯫ ꯃꯔꯨꯑꯣꯏꯕ ꯌꯨꯔꯣꯄꯤꯌꯟ ꯕꯦꯠ ꯈꯨꯗꯤꯡꯗ ꯊꯝꯂꯕ ꯁꯦꯜꯒꯤ −1/37꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯗ $1 ꯍꯥꯄꯆꯤꯜꯂꯤ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯆꯦꯗ ꯏꯔꯕꯗ ꯁꯥꯟꯅꯕ ꯑꯁꯤꯒꯤ ꯃꯃꯜ ꯂꯣꯏꯕ ꯅꯥꯏꯗꯦ꯫ ꯀꯔꯤꯒꯨꯝꯕ ꯕꯦꯡꯛ ꯑꯃꯠꯇꯅ ꯂꯣꯏꯕ ꯅꯥꯏꯗꯕ ꯃꯅꯥ ꯄꯤꯕ ꯉꯝꯗꯦ, ꯑꯃꯁꯨꯡ ꯃꯅꯥꯁꯤꯡ ꯕꯦꯡꯀꯅ ꯂꯩꯔꯤꯕ ꯁꯦꯜꯗ ꯉꯝꯈꯩ ꯊꯝꯂꯕꯥ ꯃꯇꯨꯡꯗ ꯃꯃꯜ ꯑꯗꯨ ꯁꯨꯃꯍꯠꯂꯛꯏ: $1 ꯃꯤꯂꯤꯌꯟꯒꯤ ꯕꯦꯡꯛ ꯑꯃꯒꯥ ꯂꯣꯌꯅꯅ ꯁꯥꯟꯅꯕ ꯑꯁꯤꯒꯤ ꯃꯃꯜ $21 ꯃꯔꯛ, $1 ꯕꯤꯂꯤꯌꯟꯒꯥ ꯂꯣꯌꯅꯅ $31 ꯃꯔꯛ꯫ ꯃꯥꯔꯇꯤꯟꯒꯦꯜ ꯑꯁꯤ ꯁꯥꯟꯅꯕ ꯑꯁꯤꯃꯛ ꯑꯇꯣꯞꯄ ꯃꯥꯏꯀꯩꯗꯒꯤ ꯌꯦꯡꯂꯕꯅꯤ꯫ ꯃꯁꯤꯅ ꯆꯛꯔ ꯌꯥꯝꯅꯥ ꯀꯌꯥꯗ ꯌꯨꯅꯤꯠꯁꯦꯜꯌꯨꯅꯤꯠꯁꯤꯁ꯭ꯇꯦꯝ ꯅꯠꯔꯒ ꯁꯥꯟꯅꯔꯤꯕ ꯑꯃꯅ ꯁꯤꯖꯤꯟꯅꯕ ꯃꯔꯨꯑꯣꯏꯕ ꯊꯝꯂꯕ ꯁꯦꯜ꯫ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯅꯁꯤꯡ ꯌꯨꯅꯤꯠꯇ ꯁꯟꯗꯣꯛꯂꯤ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯃꯈꯣꯌ ꯀꯔꯤꯒꯨꯝꯕ ꯇꯦꯕꯜꯗ ꯆꯠꯂꯤ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯥ ꯃꯥꯏꯄꯥꯛꯏ ꯑꯃꯁꯨꯡ ꯈꯔꯥ ꯈꯛꯇꯗ ꯊꯣꯀꯄ ꯁꯥꯡꯕ ꯁ꯭ꯇ꯭ꯔꯤꯛ ꯑꯃꯗ ꯄꯨꯝꯅꯃꯛ ꯃꯥꯡꯏ; ꯉꯝꯈꯩ ꯂꯩꯇꯔꯕꯗ ꯁꯥꯡꯕ ꯁ꯭ꯇ꯭ꯔꯤꯛꯁꯤꯡ ꯑꯗꯨ ꯍꯦꯟꯅꯥ ꯍꯦꯟꯅꯥ ꯆꯥꯎꯕ ꯃꯥꯏꯄꯥꯛꯄꯅ ꯁꯦꯜ ꯄꯤꯒꯅꯤ, ꯉꯝꯈꯩ ꯂꯩꯔꯕꯗ ꯄꯤꯗꯦ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯇꯦꯕꯜꯒꯤ ꯉꯝꯈꯩꯇꯦꯕꯜꯇꯦꯕꯜꯒꯤ ꯉꯝꯈꯩꯌꯥꯍꯜꯂꯤꯕ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯅꯦꯝꯕ ꯑꯃꯁꯨꯡ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯋꯥꯡꯕ ꯕꯦꯠ꯫ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯋꯥꯡꯕ ꯉꯝꯈꯩ ꯑꯗꯨꯅ ꯑꯅꯤ ꯊꯥꯛ ꯍꯦꯅꯒꯠꯍꯟꯕ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯅꯁꯤꯡ ꯊꯤꯡꯏ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯅ ꯃꯥꯔꯇꯤꯟꯒꯦꯜ ꯀꯔꯝꯅ ꯃꯥꯌ ꯄꯥꯛꯇꯕꯒꯦ ꯍꯥꯌꯕ ꯂꯦꯞꯄꯤ, ꯃꯥꯌ ꯄꯥꯛꯇꯕꯔꯥ ꯍꯥꯌꯕ ꯂꯦꯞꯄꯤꯗꯦ꯫

ꯕꯦꯡꯀꯅ ꯄꯤꯕ ꯉꯝꯕ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯋꯥꯡꯕꯁꯥꯟꯅꯕ ꯑꯁꯤꯒꯤ ꯆꯨꯝꯃꯤꯟꯅꯕ ꯃꯃꯜ
$100$7.56
$10,000$14.22
$1 ꯃꯤꯂꯤꯌꯟ$20.91
$1 ꯕꯤꯂꯤꯌꯟ$30.86
ꯆꯨꯝꯃꯤꯟꯅꯕ ꯃꯃꯜ ꯑꯁꯤ ꯕꯦꯡꯀꯇꯒꯤ ꯍꯦꯟꯕ ꯃꯅꯥ ꯈꯨꯗꯤꯡꯃꯛ ꯕꯦꯡꯛ ꯄꯨꯝꯅꯃꯛ ꯑꯣꯏꯅ ꯄꯤꯔꯕꯗ ꯐꯪꯒꯗꯕ ꯄꯦꯑꯥꯎꯠꯅꯤ꯫
ꯁꯦꯟꯠ ꯄꯤꯇꯔꯁꯕꯔꯒꯀꯤ ꯁꯥꯟꯅꯕ: ꯆꯦꯗ ꯏꯔꯕꯗ ꯂꯣꯏꯕ ꯅꯥꯏꯗꯕ ꯃꯃꯜ ꯂꯩ, ꯕꯦꯡꯀꯇ $1 ꯃꯤꯂꯤꯌꯟ ꯂꯩꯔꯕꯗ $21 ꯃꯔꯛ꯫

ꯔꯨꯂꯦꯠ ꯇꯦꯕꯜꯒꯤ ꯉꯝꯈꯩꯁꯤꯡ

ꯃꯥꯡꯒꯗꯕ ꯁꯦꯜ ꯑꯁꯤ ꯃꯍꯩ ꯅꯠꯇꯦ

ꯀꯔꯤꯒꯨꯝꯕ ꯁꯦꯁꯟ ꯑꯃꯈꯛ ꯃꯁꯤꯒꯤ ꯃꯥꯡꯒꯗꯕ ꯁꯦꯜꯗꯒꯤ ꯈꯦꯠꯅꯒꯅꯤ, ꯌꯥꯝꯅꯥ ꯃꯇꯃꯗ ꯃꯥꯡꯒꯗꯕ ꯁꯦꯜ ꯃꯁꯥꯃꯛꯇꯒꯤ ꯍꯦꯟꯅꯥ꯫ $10 ꯒꯤ ꯆꯞ ꯃꯥꯟꯅꯕ ꯁ꯭ꯄꯤꯟ 100 ꯗ ꯁ꯭ꯇꯦꯟꯗꯔꯗ ꯗꯤꯚꯤꯌꯦꯁꯟꯃꯦꯊꯃꯦꯇꯤꯛꯁꯁ꯭ꯇꯦꯟꯗꯔꯗ ꯗꯤꯚꯤꯌꯦꯁꯟꯚꯦꯌꯔꯤꯌꯦꯟꯁꯀꯤ ꯁ꯭ꯀ꯭ꯋꯦꯌꯔ ꯔꯨꯠ; ꯃꯍꯩ ꯑꯃꯅ ꯐꯪꯒꯗꯕ ꯃꯃꯜꯗꯒꯤ ꯌꯥꯝꯅ ꯂꯥꯞꯄ ꯃꯑꯣꯡ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → $100 ꯅꯤ, ꯐꯪꯒꯗꯕ −$27 ꯒꯤ ꯃꯥꯌꯣꯛꯇ; ꯃꯥꯏꯄꯥꯛꯄ ꯁꯦꯁꯟ ꯑꯃꯥ ꯑꯉꯀꯄ ꯅꯠꯇꯦ꯫ ꯃꯥꯡꯒꯗꯕ ꯁꯦꯜ ꯑꯁꯤ ꯃꯃꯜꯅꯤ; ꯚꯦꯌꯔꯤꯌꯦꯟꯁꯃꯦꯊꯃꯦꯇꯤꯛꯁꯚꯦꯌꯔꯤꯌꯦꯟꯁꯃꯍꯩꯁꯤꯡ ꯐꯪꯒꯗꯕ ꯃꯃꯂꯒꯤ ꯑꯀꯣꯌꯕꯗ ꯀꯌꯥ ꯁꯟꯗꯣꯛꯅ ꯂꯩꯕꯒꯦ ꯍꯥꯌꯕꯒꯤ ꯆꯥꯡ꯫ ꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞꯇ ꯋꯥꯡꯏ, ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠꯁꯤꯡꯗ ꯅꯦꯝꯏ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯁꯤ ꯄꯦꯀꯦꯖꯤꯡꯅꯤ; ꯅꯨꯃꯤꯗꯥꯡ ꯑꯃꯒꯤ ꯃꯍꯩ ꯑꯁꯤ ꯁꯦꯝꯄꯜ ꯑꯃꯈꯛꯇꯅꯤ꯫

ꯐꯣꯔꯃꯨꯂꯥ

E[ꯃꯥꯡꯕ] = Σ ꯊꯝꯂꯕ ꯁꯦꯜ / 37
E[ꯄꯨꯡ ꯈꯨꯗꯤꯡꯒꯤ ꯃꯥꯡꯕ] = ꯊꯝꯂꯕ ꯁꯦꯜ × ꯄꯨꯡ ꯈꯨꯗꯤꯡꯒꯤ ꯁ꯭ꯄꯤꯟ / 37

ꯋꯥꯍꯪꯁꯤꯡ

ꯀꯦꯁꯤꯅꯣꯅ ꯑꯩꯒꯤ ꯕꯥꯏ-ꯏꯅꯒꯤ 2.70% ꯂꯧꯕꯔꯥ?

ꯅꯠꯇꯦ꯫ ꯅꯍꯥꯛꯅ ꯊꯝꯂꯤꯕ ꯄꯨꯝꯅꯃꯛꯀꯤ 2.70%꯫ ꯃꯥꯏꯄꯥꯛꯇꯨꯅ ꯐꯪꯂꯕ ꯁꯦꯜ ꯑꯃꯨꯛ ꯍꯟꯅꯥ ꯊꯝꯂꯕꯗ ꯃꯗꯨ ꯑꯃꯨꯛ ꯍꯟꯅꯥ ꯊꯝꯕꯅꯤ꯫

ꯑꯄꯤꯀꯄ ꯊꯝꯂꯕ ꯁꯦꯜ ꯑꯁꯤ ꯃꯇꯝ ꯄꯨꯝꯅꯃꯛꯇ ꯍꯦꯟꯅꯥ ꯌꯥꯝꯕꯔꯥ?

ꯄꯨꯡ ꯈꯨꯗꯤꯡꯗꯗꯤ, ꯊꯨꯅꯕ ꯃꯥꯟꯅꯔꯕꯗ, ꯍꯣꯌ꯫ ꯌꯧꯔꯕ ꯄꯥꯟꯗꯝ ꯈꯨꯗꯤꯡꯗꯗꯤ ꯅꯠꯇꯦ: ꯕꯦꯡꯀꯔꯣꯜ ꯄꯨꯝꯅꯃꯛ ꯃꯥꯡꯕꯒꯤ ꯈꯨꯗꯣꯡꯊꯤꯕꯃꯦꯊꯃꯦꯇꯤꯛꯁꯕꯦꯡꯀꯔꯣꯜ ꯄꯨꯝꯅꯃꯛ ꯃꯥꯡꯕꯒꯤ ꯈꯨꯗꯣꯡꯊꯤꯕꯄꯥꯟꯗꯝ ꯅꯠꯔꯒ ꯁ꯭ꯄꯤꯟꯒꯤ ꯃꯁꯤꯡ ꯌꯧꯗ꯭ꯔꯤꯉꯩꯗ ꯕꯦꯡꯀꯔꯣꯜ ꯄꯨꯝꯅꯃꯛ ꯃꯥꯡꯕꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯌꯦꯡꯕꯤꯌꯨ꯫

ꯀꯣꯝꯞꯁꯤꯡꯅ ꯀꯔꯝꯅ ꯊꯕꯛ ꯇꯧꯕꯒꯦ?

ꯀꯦꯁꯤꯅꯣꯁꯤꯡꯅ ꯑꯦꯚꯔꯦꯖ ꯕꯦꯠ ꯑꯃꯁꯨꯡ ꯁꯥꯟꯅꯈꯤꯕ ꯃꯇꯃꯗꯒꯤ ꯅꯍꯥꯛꯀꯤ ꯃꯥꯡꯒꯗꯕ ꯁꯦꯜ ꯊꯤꯖꯤꯜꯂꯤ ꯑꯃꯁꯨꯡ ꯃꯗꯨꯒꯤ ꯁꯔꯨꯛ ꯈꯔꯥ ꯀꯣꯝꯞ (ꯃꯃꯜ ꯌꯥꯎꯗꯕ ꯈꯨꯗꯣꯜ) ꯑꯣꯏꯅ ꯍꯜꯂꯛꯏ꯫ ꯃꯈꯣꯌꯅ ꯃꯃꯂꯒꯤ ꯁꯔꯨꯛ ꯈꯔꯥ ꯍꯜꯂꯛꯂꯤꯕꯅꯤ, ꯅꯍꯥꯀꯄꯨ ꯑꯦꯖ ꯑꯃꯥ ꯄꯤꯔꯤꯕ ꯅꯠꯇꯦ꯫

ꯅꯣꯛꯅꯕꯒꯤ ꯀꯃꯤꯛ

ꯇꯔꯅꯑꯣꯚꯔ × 1/37꯫ ꯄꯨꯡꯐꯝ ꯑꯁꯤ ꯐꯣꯔꯃꯨꯂꯥꯗ ꯌꯥꯎꯔꯤ꯫

ꯇꯔꯅꯑꯣꯚꯔ × 1/37꯫ ꯄꯨꯡꯐꯝ ꯑꯁꯤ ꯐꯣꯔꯃꯨꯂꯥꯗ ꯌꯥꯎꯔꯤ꯫

ꯍꯧꯔꯛꯐꯃꯁꯤꯡ

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010꯫ ꯆꯦꯞꯇꯔ 13, ꯔꯨꯂꯦꯠ꯫
  2. Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed. Academic Press, 2013꯫
  3. Taylor, D. G. Games, Gambling, and Probability: An Introduction to Mathematics, 2nd ed. CRC Press, 2021꯫
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