ꯔꯨꯂꯦꯠ ꯁ꯭ꯇ꯭ꯔꯤꯠ ꯕꯦꯠ
ꯔꯨꯂꯦꯠꯀꯤ ꯁ꯭ꯇ꯭ꯔꯤꯠ ꯕꯦꯠꯅ ꯆꯤꯞ ꯑꯃꯈꯛꯅ ꯃꯁꯤꯡ ꯑꯍꯨꯝꯒꯤ ꯔꯣ ꯑꯃꯥ ꯀꯨꯞꯏ꯫

ꯃꯁꯤꯡ ꯑꯍꯨꯝ, ꯄꯦꯑꯥꯎꯠ 11:1꯫ ꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕꯃꯦꯊꯃꯦꯇꯤꯛꯁꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕꯃꯍꯩ ꯑꯃꯥ ꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕ, 0 ꯗꯒꯤ 1 ꯐꯥꯑꯣꯕ ꯅꯠꯔꯒ 0% ꯗꯒꯤ 100% ꯐꯥꯑꯣꯕ꯫ ꯃꯁꯤꯡ ꯑꯃꯥ: 1/37 = 2.70%꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → 8.11%꯫
ꯔꯨꯂꯦꯠꯇ ꯁ꯭ꯇ꯭ꯔꯤꯠ ꯕꯦꯠ ꯀꯗꯥꯏꯗ ꯊꯝꯒꯗꯒꯦ
ꯆꯤꯞꯁꯦꯜꯆꯤꯞꯂꯦꯞꯂꯕ ꯁꯦꯜꯒꯤ ꯃꯃꯜ ꯇꯥꯛꯄ ꯇꯣꯀꯟ, ꯕꯦꯠ ꯊꯝꯅꯕ ꯂꯦꯑꯥꯎꯠꯇ ꯊꯝꯃꯤ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯆꯦꯛ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯗꯨ ꯔꯣ ꯑꯗꯨꯒꯤ ꯃꯄꯥꯟꯊꯣꯡꯒꯤ ꯃꯊꯛꯇ, ꯗꯖꯟꯕꯦꯠꯗꯖꯟ1–12, 13–24 ꯅꯠꯔꯒ 25–36, 2:1 ꯄꯦꯑꯥꯎꯠ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯕꯛꯁꯁꯤꯡꯗ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯅꯛꯄ ꯂꯥꯏꯟꯗ ꯊꯝꯃꯤ (ꯅꯠꯔꯒ ꯃꯊꯛ ꯑꯅꯤ ꯂꯩꯕ ꯐ꯭ꯔꯦꯟꯆ ꯂꯦꯑꯥꯎꯠꯈꯨꯠꯂꯥꯏꯂꯦꯑꯥꯎꯠꯇꯦꯕꯜꯗ ꯏꯔꯕ ꯕꯦꯠ ꯊꯝꯕꯒꯤ ꯒ꯭ꯔꯤꯗ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯇꯦꯕꯜ, ꯐꯦꯜꯠ, ꯀ꯭ꯂꯣꯊ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯇ, ꯃꯄꯥꯟꯊꯣꯡꯒꯤ ꯃꯊꯛ ꯑꯃꯃꯃꯗ)꯫ ꯃꯇꯧ ꯑꯣꯏꯕ ꯁ꯭ꯇ꯭ꯔꯤꯠꯕꯦꯠꯁ꯭ꯇ꯭ꯔꯤꯠꯂꯦꯑꯥꯎꯠꯀꯤ ꯂꯥꯏꯟ ꯑꯃꯗ ꯂꯩꯕ ꯃꯁꯤꯡ ꯑꯍꯨꯝ, 11:1 ꯄꯦꯑꯥꯎꯠ꯫ ꯐ꯭ꯔꯦꯟꯆ: ꯇ꯭ꯔꯥꯟꯁꯚꯔꯁꯥꯜ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯇꯔꯥꯅꯤꯊꯣꯏ ꯂꯩ, 1-2-3 ꯗꯒꯤ 34-35-36 ꯐꯥꯑꯣꯕ, ꯃꯗꯨꯗ ꯖꯤꯔꯣꯆꯛꯔꯖꯤꯔꯣꯆꯞ ꯃꯥꯟꯅꯕ, ꯗꯖꯟ ꯅꯠꯔꯒ ꯀꯂꯝ ꯕꯦꯠ ꯑꯃꯠꯇꯅ ꯀꯨꯞꯇꯕ ꯑꯁꯪꯕ ꯄꯣꯀꯦꯠ ꯑꯃꯈꯛꯇ; ꯍꯥꯎꯁ ꯑꯦꯖꯀꯤ ꯍꯧꯔꯀꯐꯝꯅꯤ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯁꯤꯡꯒꯜ ꯖꯤꯔꯣ, 0꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯌꯥꯎꯕ ꯑꯅꯤ ꯍꯥꯄꯆꯤꯜꯂꯤ: 0-1-2 ꯑꯃꯁꯨꯡ 0-2-3; ꯃꯈꯣꯌ ꯑꯁꯤ ꯖꯤꯔꯣꯅ ꯑꯍꯥꯅꯕ ꯔꯣꯒ ꯊꯦꯡꯅꯕ ꯀꯣꯔꯅꯔꯕꯦꯠꯀꯣꯔꯅꯔꯂꯦꯑꯥꯎꯠꯇ ꯀꯣꯟꯅꯥ ꯑꯃꯥ ꯁꯦꯌꯔ ꯇꯧꯅꯔꯤꯕ ꯃꯁꯤꯡ ꯃꯔꯤ, 8:1 ꯄꯦꯑꯥꯎꯠ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯗ ꯊꯝꯃꯤ꯫ ꯆꯤꯞ ꯑꯗꯨ ꯉꯃꯈꯩꯒꯤ ꯂꯥꯏꯟꯗ ꯂꯩꯒꯗꯕꯅꯤ; ꯔꯣꯒꯤ ꯃꯅꯨꯡꯗ ꯊꯝꯂꯕꯗꯤ ꯃꯊꯛꯇ ꯂꯩꯕ ꯃꯁꯤꯡ ꯑꯗꯨꯗ ꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞꯕꯦꯠꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞꯃꯁꯤꯡ ꯑꯃꯈꯛꯇ, 35:1 ꯄꯦꯑꯥꯎꯠ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯣꯏꯅ ꯂꯧꯒꯅꯤ꯫
ꯔꯨꯂꯦꯠ ꯁ꯭ꯇ꯭ꯔꯤꯠ ꯕꯦꯠꯀꯤ ꯄꯦꯑꯥꯎꯠ ꯑꯃꯁꯨꯡ ꯐꯪꯒꯗꯕ ꯃꯃꯜ
ꯃꯁꯤꯡ ꯑꯍꯨꯝꯒꯤ ꯃꯥꯌꯣꯛꯇ ꯆꯨꯝꯃꯤꯟꯅꯕ ꯑꯣꯗꯁ 11.33 ꯗꯒꯤ 1 ꯅꯤ; ꯇꯦꯕꯜꯅ 11 ꯈꯛ ꯄꯤ꯫ ꯃꯥꯏꯄꯥꯛꯂꯕ $10 ꯒꯤ ꯁ꯭ꯇ꯭ꯔꯤꯠ ꯑꯃꯅ ꯃꯥꯏꯄꯥꯛꯇꯨꯅ ꯐꯪꯂꯕ ꯁꯦꯜ $110 ꯍꯜꯂꯀꯏ꯫ ꯑꯦꯚꯔꯦꯖ ꯁ꯭ꯄꯤꯟ 37 ꯗ: ꯃꯥꯏꯄꯥꯛꯄ ꯑꯍꯨꯝ (+$330), ꯃꯥꯏꯊꯤꯕ 34 (−$340), $370 ꯗ ꯅꯦꯠ −$10꯫
ꯃꯑꯣꯡ ꯃꯇꯧ
ꯑꯃꯨꯛ ꯑꯍꯨꯝ ꯍꯦꯟꯅ ꯃꯥꯏꯄꯥꯛꯄ ꯑꯃꯁꯨꯡ ꯁꯔꯨꯛ ꯑꯍꯨꯝ ꯊꯣꯀꯄꯒꯤ ꯑꯃꯈꯛ ꯄꯤꯕ ꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞ ꯑꯃꯅꯤ꯫ ꯁ꯭ꯄꯤꯟ 36 ꯒꯤ ꯂꯝꯍꯥꯡꯕ ꯌꯥꯎꯗꯅ ꯂꯥꯛꯀꯤ ꯃꯁꯤꯡ ꯑꯃꯒꯤ ꯃꯅꯥꯛꯇ “ꯔꯣ ꯑꯃꯥ ꯀꯨꯞꯄ” ꯄꯥꯝꯕ ꯁꯥꯟꯅꯔꯤꯕꯁꯤꯡꯅ ꯁ꯭ꯇ꯭ꯔꯤꯠ ꯌꯥꯝꯅ ꯄꯥꯝꯃꯤ꯫ ꯃꯇꯝ ꯌꯥꯝꯅꯥ ꯁ꯭ꯄꯤꯟ 12 ꯈꯨꯗꯤꯡꯗ ꯃꯥꯏꯄꯥꯛꯄ ꯑꯃꯥ ꯂꯥꯛꯀꯅꯤ, ꯑꯃꯁꯨꯡ ꯁꯦꯁꯟ ꯑꯃꯗ ꯑꯃꯨꯛ ꯃꯇꯨꯡꯗ ꯁ꯭ꯄꯤꯟ 25 ꯅꯠꯔꯒ ꯍꯦꯟꯅꯥ ꯃꯥꯏꯄꯥꯛꯄ ꯂꯩꯇꯕ ꯃꯇꯝ ꯂꯥꯛꯀꯅꯤ꯫
ꯁ꯭ꯇ꯭ꯔꯤꯠ ꯑꯃꯁꯨꯡ ꯗꯖꯟ
ꯁ꯭ꯇ꯭ꯔꯤꯠ ꯃꯔꯤꯅ ꯗꯖꯟ ꯑꯃꯥ ꯑꯣꯏ꯫ 1-2-3, 4-5-6, 7-8-9 ꯑꯃꯁꯨꯡ 10-11-12 ꯗ $10 ꯒꯤ ꯁ꯭ꯇ꯭ꯔꯤꯠ ꯃꯔꯤ ꯊꯝꯕꯒꯤ ꯃꯃꯜ $40 ꯅꯤ; ꯑꯍꯥꯅꯕ ꯗꯖꯟ ꯂꯥꯀꯄꯥ ꯃꯇꯃꯗ $110 − $30 = $80 ꯃꯥꯏꯄꯥꯛꯏ ꯑꯃꯁꯨꯡ ꯑꯇꯣꯞꯄ ꯃꯇꯃꯗ $40 ꯃꯥꯡꯏ꯫ $40 ꯒꯤ ꯗꯖꯟ ꯕꯦꯠ ꯑꯃꯅꯁꯨ ꯑꯗꯨꯃꯛ ꯃꯇꯃꯁꯤꯡꯗ $80 ꯃꯥꯏꯄꯥꯛꯏ ꯑꯃꯁꯨꯡ $40 ꯃꯥꯡꯏ꯫ ꯃꯈꯣꯌ ꯑꯁꯤ ꯃꯑꯣꯡ ꯑꯅꯤꯒꯤ ꯕꯦꯠ ꯑꯃꯈꯛꯇꯅꯤ; ꯗꯖꯟꯅ ꯆꯤꯞ ꯑꯃꯈꯛ ꯃꯊꯧ ꯇꯥꯏ꯫
ꯋꯥꯍꯩꯁꯤꯡ
ꯐ꯭ꯔꯦꯟꯆꯇ ꯇ꯭ꯔꯥꯟꯁꯚꯔꯁꯥꯜꯐ꯭ꯔꯦꯟꯆ · ꯁ꯭ꯇ꯭ꯔꯤꯠꯇ꯭ꯔꯥꯟꯁꯚꯔꯁꯥꯜꯁ꯭ꯇ꯭ꯔꯤꯠ (ꯇ꯭ꯔꯥꯟꯁꯚꯔꯁꯥꯜ ꯄ꯭ꯂꯦꯟ, ꯃꯁꯤꯡ 3) ꯑꯃꯁꯨꯡ ꯁꯤꯛꯁ ꯂꯥꯏꯟ (ꯇ꯭ꯔꯥꯟꯁꯚꯔꯁꯥꯜ ꯁꯦꯝꯞꯜ, ꯃꯁꯤꯡ 6) ꯒꯤ ꯐ꯭ꯔꯦꯟꯆ ꯃꯃꯤꯡ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯄ꯭ꯂꯦꯟ (“ꯃꯄꯨꯡ ꯐꯥꯕ ꯀ꯭ꯔꯣꯁ”), ꯕ꯭ꯔꯤꯇꯤꯁ ꯗꯤꯂꯔꯁꯤꯡꯗ “ꯔꯣ” ꯅꯠꯔꯒ “ꯊ꯭ꯔꯤ-ꯂꯥꯏꯟ”, ꯌꯨꯅꯥꯏꯇꯦꯗ ꯁ꯭ꯇꯦꯇꯁ ꯑꯃꯁꯨꯡ ꯑꯣꯅꯂꯥꯏꯟꯗ “ꯁ꯭ꯇ꯭ꯔꯤꯠ”꯫ ꯁꯤꯛꯁ ꯂꯥꯏꯟ ꯑꯁꯤ ꯇ꯭ꯔꯥꯟꯁꯚꯔꯁꯥꯜ ꯁꯦꯝꯄ꯭ꯂꯦꯅꯤ, ꯃꯤ ꯌꯥꯝꯅ ꯂꯥꯡꯇꯛꯅꯕꯗꯤ ꯃꯁꯤꯡ ꯍꯦꯟꯅ ꯌꯥꯎꯕ ꯑꯗꯨꯅꯤ꯫
ꯋꯥꯍꯪꯁꯤꯡ
ꯍꯣꯌ, 11 ꯗꯒꯤ 1꯫ 0-1-2 ꯑꯃꯁꯨꯡ 0-2-3 ꯑꯁꯤ ꯑꯇꯣꯞꯄ ꯁ꯭ꯇ꯭ꯔꯤꯠ ꯈꯨꯗꯤꯡꯒꯨꯝꯅ ꯃꯁꯤꯡ ꯑꯍꯨꯝꯅꯤ꯫
ꯔꯣꯒꯤ ꯃꯄꯥꯟꯊꯣꯡꯒꯤ ꯃꯊꯛꯇ ꯇꯦꯞ ꯇꯧꯕꯤꯌꯨ; ꯅꯍꯥꯛꯅ ꯀꯅꯐꯔꯝ ꯇꯧꯗ꯭ꯔꯤꯉꯩꯗ ꯂꯦꯑꯥꯎꯠꯅ ꯃꯁꯤꯡ ꯑꯍꯨꯝ ꯑꯗꯨ ꯃꯉꯥꯜ ꯊꯥꯗꯣꯛꯀꯅꯤ꯫
ꯅꯣꯛꯅꯕꯒꯤ ꯀꯃꯤꯛ

ꯃꯁꯤꯡ ꯑꯍꯨꯝ, 11 ꯗꯒꯤ 1꯫
ꯍꯧꯔꯛꯐꯃꯁꯤꯡ
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.