ꯔꯨꯂꯦꯠ ꯑꯋꯥꯡꯕ / ꯑꯅꯦꯝꯕ ꯕꯦꯠ
1–18 (ꯑꯅꯦꯝꯕ, ꯃꯥꯡꯛ) ꯅꯠꯔꯒ 19–36 (ꯑꯋꯥꯡꯕ, ꯄꯥꯁ)꯫

ꯄꯦꯑꯥꯎꯠ 1:1, ꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕꯃꯦꯊꯃꯦꯇꯤꯛꯁꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕꯃꯍꯩ ꯑꯃꯥ ꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕ, 0 ꯗꯒꯤ 1 ꯐꯥꯑꯣꯕ ꯅꯠꯔꯒ 0% ꯗꯒꯤ 100% ꯐꯥꯑꯣꯕ꯫ ꯃꯁꯤꯡ ꯑꯃꯥ: 1/37 = 2.70%꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → 48.65%꯫
ꯊꯝꯕꯒꯤ ꯃꯐꯝ
ꯃꯄꯥꯟꯒꯤ ꯔꯣꯒꯤ ꯃꯊꯛ ꯑꯅꯤꯗ ꯂꯩꯕ “1–18” ꯑꯃꯁꯨꯡ “19–36” ꯕꯛꯁꯁꯤꯡ꯫ ꯐ꯭ꯔꯦꯟꯆ ꯂꯦꯑꯥꯎꯠꯈꯨꯠꯂꯥꯏꯂꯦꯑꯥꯎꯠꯇꯦꯕꯜꯗ ꯏꯔꯕ ꯕꯦꯠ ꯊꯝꯕꯒꯤ ꯒ꯭ꯔꯤꯗ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯇꯦꯕꯜ, ꯐꯦꯜꯠ, ꯀ꯭ꯂꯣꯊ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯇ ꯃꯈꯣꯌ ꯃꯥꯡꯛ (“ꯌꯧꯗꯕ”: ꯕꯣꯜꯈꯨꯠꯂꯥꯏꯕꯣꯜꯔꯣꯇꯔꯒꯤ ꯃꯥꯌꯣꯛꯇ ꯇ꯭ꯔꯦꯛꯇ ꯊꯥꯗꯣꯛꯄ ꯑꯄꯤꯛꯄ ꯕꯣꯜ꯫ ꯍꯧꯖꯤꯛꯀꯤ ꯕꯣꯜꯁꯤꯡ ꯑꯥꯏꯚꯣꯔꯤꯟ ꯅꯠꯔꯒ ꯇꯦꯐ꯭ꯂꯣꯅꯅ ꯁꯦꯝꯃꯤ, 18–21 mm꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯗꯨ 18 ꯂꯥꯟꯊꯣꯛꯇꯕ) ꯑꯃꯁꯨꯡ ꯄꯥꯁ (“ꯂꯥꯟꯊꯣꯛꯄ”: ꯂꯥꯟꯊꯣꯀꯈꯤꯕ) ꯍꯥꯌꯅ ꯏꯔꯤ꯫ ꯃꯈꯣꯌ ꯑꯃꯃꯃꯅ ꯇꯦꯕꯜꯒꯤ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯅꯦꯝꯕ ꯉꯝꯈꯩ ꯐꯪꯒꯗꯕꯅꯤ꯫
ꯔꯨꯂꯦꯠ 1–18 ꯑꯃꯁꯨꯡ 19–36 ꯒꯤ ꯑꯣꯗꯁ ꯑꯃꯁꯨꯡ ꯄꯦꯑꯥꯎꯠ
ꯑꯉꯥꯡꯕꯕꯦꯠꯑꯉꯥꯡꯕꯑꯉꯥꯡꯕ ꯃꯁꯤꯡ 18 ꯗ ꯊꯝꯕ ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠ꯫ ꯐ꯭ꯔꯦꯟꯆ: ꯔꯨꯖ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →/ꯑꯃꯨꯕꯕꯦꯠꯑꯃꯨꯕꯑꯃꯨꯕ ꯃꯁꯤꯡ 18 ꯗ ꯊꯝꯕ ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠ꯫ ꯐ꯭ꯔꯦꯟꯆ: ꯅꯣꯌꯥꯔ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯁꯨꯡ ꯕꯤꯖꯣꯔ/ꯖꯣꯔꯒꯥ ꯆꯞ ꯃꯥꯟꯅꯩ: ꯆꯨꯝꯃꯤꯟꯅꯕ ꯑꯣꯗꯁ 1.056 ꯗꯒꯤ 1, ꯇꯦꯕꯜꯅ 1 ꯄꯤ, ꯑꯦꯖ 2.70%, ꯅꯠꯔꯒ 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 → ꯂꯩꯔꯕꯗ 1.35%꯫
ꯆꯛꯔꯗ
ꯑꯋꯥꯡꯕ ꯑꯃꯁꯨꯡ ꯑꯅꯦꯝꯕ ꯃꯁꯤꯡꯁꯤꯡ ꯆꯛꯔꯒꯤ ꯃꯄꯥꯟꯊꯣꯡꯗ ꯃꯄꯨꯡ ꯐꯥꯕ ꯃꯇꯨꯡꯗ ꯑꯃꯒꯥ ꯑꯃꯒꯥ ꯍꯣꯡꯗꯣꯛꯅꯩ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯕꯦꯠ ꯑꯁꯤꯅ ꯀꯔꯝꯕ ꯁꯦꯛꯇꯔꯆꯛꯔꯁꯦꯛꯇꯔꯆꯛꯔꯗ ꯃꯔꯛ ꯂꯩꯇꯅ ꯃꯈꯥ ꯆꯠꯅꯅ ꯂꯩꯕ ꯄꯣꯀꯦꯠꯁꯤꯡꯒꯤ ꯁꯔꯨꯛ, ꯂꯦꯑꯥꯎꯠꯇ ꯂꯩꯕ ꯀꯥꯡꯂꯨꯞ ꯑꯃꯗꯒꯤ ꯇꯣꯉꯥꯟꯅ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯠꯇ ꯀꯨꯞꯇꯦ; ꯃꯁꯤ ꯂꯦꯑꯥꯎꯠꯀꯤ ꯀꯥꯌꯊꯣꯛ ꯈꯛꯇꯅꯤ꯫ ꯖꯤꯔꯣꯆꯛꯔꯖꯤꯔꯣꯆꯞ ꯃꯥꯟꯅꯕ, ꯗꯖꯟ ꯅꯠꯔꯒ ꯀꯂꯝ ꯕꯦꯠ ꯑꯃꯠꯇꯅ ꯀꯨꯞꯇꯕ ꯑꯁꯪꯕ ꯄꯣꯀꯦꯠ ꯑꯃꯈꯛꯇ; ꯍꯥꯎꯁ ꯑꯦꯖꯀꯤ ꯍꯧꯔꯀꯐꯝꯅꯤ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯁꯤꯡꯒꯜ ꯖꯤꯔꯣ, 0꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯗꯒꯤ ꯃꯇꯨꯡ ꯏꯟꯅꯥ ꯌꯦꯡꯂꯕꯗ: 32 (ꯑꯋꯥꯡꯕ), 15 (ꯑꯅꯦꯝꯕ), 19 (ꯑꯋꯥꯡꯕ), 4 (ꯑꯅꯦꯝꯕ), 21 (ꯑꯋꯥꯡꯕ), 2 (ꯑꯅꯦꯝꯕ) ꯑꯁꯨꯝꯅ ꯆꯠꯂꯤ꯫

ꯁ꯭ꯄꯤꯟ 37 ꯗ ꯔꯨꯂꯦꯠ 19–36 ꯒꯤ ꯄꯦꯑꯥꯎꯠ
ꯁ꯭ꯄꯤꯟ ꯈꯨꯗꯤꯡꯗ $10 ꯊꯃꯗꯨꯅ, 19–36 ꯗ ꯊꯝꯕ ꯕꯦꯠ ꯑꯃꯅ ꯑꯦꯚꯔꯦꯖ ꯁ꯭ꯄꯤꯟ 37 ꯗ ꯑꯃꯨꯛ 18 ꯃꯥꯏꯄꯥꯛꯏ (+$180), ꯑꯅꯦꯝꯕ ꯃꯁꯤꯡ ꯇꯔꯥꯅꯤꯄꯥꯂꯗ ꯃꯥꯏꯊꯤꯕ ꯐꯪꯏ (−$180) ꯑꯃꯁꯨꯡ ꯖꯤꯔꯣꯗ ꯑꯃꯨꯛ ꯃꯥꯏꯊꯤꯕ ꯐꯪꯏ (−$10): ꯊꯝꯂꯕ $370 ꯗ −$10꯫ ꯗꯕꯜ ꯖꯤꯔꯣ ꯆꯛꯔꯗ ꯖꯤꯔꯣ ꯑꯅꯤꯒꯤ ꯃꯃꯜ $380 ꯗ $20, 5.26%꯫ ꯖꯤꯔꯣ ꯑꯁꯤ 1 ꯗꯒꯤ ꯅꯦꯝꯃꯤ ꯑꯗꯨꯕꯨ ꯑꯅꯦꯝꯕꯒꯤ ꯕꯦꯠꯇꯁꯨ ꯃꯥꯏꯊꯤꯕ ꯄꯤ: ꯕꯛꯁ ꯑꯗꯨꯗ 1–18 ꯍꯥꯌꯅ ꯏꯔꯤ꯫
ꯄꯨꯟꯁꯤꯟꯅꯕꯁꯤꯡ
ꯑꯋꯥꯡꯕ ꯑꯃꯁꯨꯡ ꯑꯍꯨꯃꯁꯨꯕ ꯗꯖꯟꯕꯦꯠꯗꯖꯟ1–12, 13–24 ꯅꯠꯔꯒ 25–36, 2:1 ꯄꯦꯑꯥꯎꯠ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯅ 25–36 ꯒꯤ ꯃꯁꯤꯡ ꯇꯔꯥꯅꯤꯊꯣꯏ ꯄꯨꯝꯅꯃꯛꯇ ꯊꯦꯡꯅꯩ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯃꯁꯤ ꯃꯊꯛꯀꯤ ꯗꯖꯟ ꯑꯗꯨ ꯑꯃꯨꯛ ꯑꯅꯤ ꯀꯨꯞꯄ 19–36 ꯗ ꯑꯣꯖꯟ ꯊꯝꯕ ꯕꯦꯠ ꯑꯃꯅꯤ꯫ ꯑꯅꯦꯝꯕ ꯑꯃꯁꯨꯡ ꯑꯉꯥꯡꯕꯅ ꯃꯁꯤꯡ ꯃꯥꯄꯟꯗ ꯊꯦꯡꯅꯩ꯫ ꯄꯨꯟꯁꯤꯟꯅꯕ ꯑꯁꯤꯒꯤ ꯃꯅꯨꯡꯗꯒꯤ ꯑꯃꯠꯇꯅ ꯐꯪꯒꯗꯕ ꯃꯃꯜꯃꯦꯊꯃꯦꯇꯤꯛꯁꯐꯪꯒꯗꯕ ꯃꯃꯜꯃꯇꯝ ꯁꯥꯡꯅ ꯌꯦꯡꯂꯕꯗ ꯕꯦꯠ ꯑꯃꯒꯤ ꯑꯦꯚꯔꯦꯖ ꯃꯍꯩ꯫ ꯃꯔꯨꯑꯣꯏꯕ ꯌꯨꯔꯣꯄꯤꯌꯟ ꯕꯦꯠ ꯈꯨꯗꯤꯡꯗ ꯊꯝꯂꯕ ꯁꯦꯜꯒꯤ −1/37꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯍꯣꯡꯗꯣꯛꯇꯦ; ꯁꯔꯨꯛ ꯑꯃꯃꯃꯅ ꯃꯁꯥ ꯃꯊꯟꯇ 2.70% ꯅꯤ꯫
ꯁꯔꯨꯛ ꯑꯃꯃꯃꯗ ꯀꯔꯤ ꯂꯩꯕꯒꯦ
ꯁꯔꯨꯛ ꯑꯃꯃꯃꯗ ꯑꯉꯥꯡꯕ ꯃꯥꯄꯟ ꯑꯃꯁꯨꯡ ꯑꯃꯨꯕ ꯃꯥꯄꯟ, ꯕꯤꯖꯣꯔ ꯃꯥꯄꯟ ꯑꯃꯁꯨꯡ ꯖꯣꯔ ꯃꯥꯄꯟ ꯂꯩ꯫ ꯑꯉꯥꯡꯕ ꯃꯁꯤꯡꯁꯤꯡꯗꯤ ꯑꯅꯦꯝꯕ ꯁꯔꯨꯛꯇ 1, 3, 5, 7, 9, 12, 14, 16 ꯑꯃꯁꯨꯡ 18, ꯑꯋꯥꯡꯕ ꯁꯔꯨꯛꯇ 19, 21, 23, 25, 27, 30, 32, 34 ꯑꯃꯁꯨꯡ 36꯫ ꯑꯅꯦꯝꯕ ꯑꯁꯤ ꯑꯍꯥꯅꯕ ꯗꯖꯟ ꯑꯃꯁꯨꯡ ꯑꯅꯤꯁꯨꯕ ꯗꯖꯟꯒꯤ ꯁꯔꯨꯛ ꯑꯍꯦꯟꯕꯅꯤ; ꯑꯋꯥꯡꯕ ꯑꯁꯤ ꯑꯅꯤꯁꯨꯕꯒꯤ ꯑꯇꯣꯞꯄ ꯁꯔꯨꯛ ꯑꯃꯁꯨꯡ ꯑꯍꯨꯃꯁꯨꯕꯅꯤ꯫ ꯍꯦꯟꯅ ꯃꯃꯜ ꯌꯥꯝꯗꯅ 1–18 ꯀꯨꯞꯄ ꯍꯦꯟꯅ ꯃꯆꯥꯕ ꯕꯦꯠ ꯑꯃꯠꯇ ꯂꯩꯇꯦ: ꯗꯖꯟꯅ ꯃꯁꯤꯡ ꯇꯔꯥꯅꯤꯊꯣꯏꯗ 2 ꯗꯒꯤ 1 ꯄꯤ, ꯁꯤꯛꯁ ꯂꯥꯏꯟꯕꯦꯠꯁꯤꯛꯁ ꯂꯥꯏꯟꯌꯨꯝꯂꯣꯟꯅꯕ ꯂꯥꯏꯟ ꯑꯅꯤꯗ ꯂꯩꯕ ꯃꯁꯤꯡ ꯇꯔꯨꯛ, 5:1 ꯄꯦꯑꯥꯎꯠ꯫ ꯐ꯭ꯔꯦꯟꯆ: ꯁꯤꯖꯦꯟ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯅ ꯇꯔꯨꯛꯇ 5 ꯗꯒꯤ 1, ꯑꯃꯁꯨꯡ ꯑꯃꯃꯃꯒꯤ ꯃꯃꯜ ꯑꯗꯨꯃꯛ 2.70%꯫
ꯐ꯭ꯔꯦꯟꯆ ꯅꯤꯌꯝꯁꯤꯡ
ꯂꯥ ꯄꯥꯔꯇꯥꯖ ꯂꯩꯔꯕꯗ, ꯖꯤꯔꯣ ꯂꯥꯀꯄꯥ ꯃꯇꯃꯗ ꯃꯥꯡꯛ ꯅꯠꯔꯒ ꯄꯥꯁ ꯕꯦꯠꯀꯤ ꯁꯔꯨꯛ ꯑꯍꯦꯟꯕ ꯍꯜꯂꯀꯏ, ꯑꯃꯁꯨꯡ ꯃꯃꯜ 1.35% ꯗ ꯍꯟꯊꯔꯀꯏ꯫ ꯑꯣꯡ ꯄ꯭ꯔꯤꯖꯣꯡꯅꯤꯌꯝꯑꯣꯡ ꯄ꯭ꯔꯤꯖꯣꯡꯐ꯭ꯔꯦꯟꯆ ꯅꯤꯌꯝ: ꯖꯤꯔꯣ ꯊꯣꯛꯂꯕꯗꯤ ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠ ꯑꯗꯨ ꯃꯥꯡꯗꯅ ꯃꯊꯪꯒꯤ ꯁ꯭ꯄꯤꯟꯒꯤꯗꯃꯛ ꯊꯝꯃꯤ꯫ ꯕꯦꯠ ꯑꯗꯨꯁꯤꯡꯗ ꯍꯥꯎꯁ ꯑꯦꯖ ꯁꯔꯨꯛ ꯑꯅꯤꯗ ꯊꯥꯖꯤꯜꯂꯤ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯂꯩꯔꯕꯗ ꯃꯗꯨꯒꯤ ꯃꯍꯨꯠꯇ ꯕꯦꯠ ꯑꯗꯨ ꯁ꯭ꯄꯤꯟ ꯑꯃꯥ ꯍꯦꯟꯅꯥ ꯊꯝꯂꯤ: ꯃꯥꯏꯄꯥꯛꯂꯕꯗ ꯃꯥꯏꯄꯥꯛꯇꯨꯅ ꯐꯪꯕ ꯁꯦꯜ ꯌꯥꯎꯗꯅ ꯍꯜꯂꯀꯏ, ꯃꯥꯏꯊꯤꯔꯕꯗ ꯂꯧꯊꯣꯀꯏ꯫
ꯋꯥꯍꯪꯁꯤꯡ
ꯕꯣꯜ ꯑꯗꯨ ꯌꯧꯗꯅ ꯂꯦꯞꯈꯤ, 18 ꯂꯥꯟꯊꯣꯛꯄ “ꯃꯥꯡꯈꯤ”꯫ ꯄꯥꯁ ꯍꯥꯌꯕꯁꯤ ꯂꯥꯟꯊꯣꯀꯈꯤꯕꯅꯤ꯫
ꯅꯠꯇꯦ꯫ ꯁ꯭ꯄꯤꯟ ꯈꯨꯗꯤꯡꯗ ꯁꯔꯨꯛ ꯑꯃꯃꯃꯒꯤꯗꯃꯛ 18/37 ꯅꯤ꯫
ꯅꯣꯛꯅꯕꯒꯤ ꯀꯃꯤꯛ

1–18 ꯅꯠꯔꯒ 19–36꯫ ꯑꯉꯥꯡꯕꯒꯥ ꯕꯦꯠ ꯑꯗꯨꯃꯛ, ꯕꯛꯁ ꯈꯛ ꯈꯦꯠꯅꯩ꯫
ꯍꯧꯔꯛꯐꯃꯁꯤꯡ
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.