ꯑꯃꯦꯔꯤꯀꯟ ꯔꯨꯂꯦꯠ ꯆꯛꯔ ꯑꯃꯁꯨꯡ ꯅꯤꯌꯝꯁꯤꯡ
ꯄꯣꯀꯦꯠ ꯀꯨꯟꯊꯔꯥꯅꯤꯄꯥꯟ, 0 ꯑꯃꯁꯨꯡ 00, 5.26%꯫ ꯄꯦꯑꯥꯎꯠ ꯑꯗꯨꯃꯛ, ꯃꯥꯏꯊꯤꯕꯒꯤ ꯂꯝꯕꯤ ꯑꯃꯥ ꯍꯦꯟꯅ꯫

ꯗꯕꯜ ꯖꯤꯔꯣ ꯆꯛꯔꯅ ꯕꯦꯠ ꯈꯨꯗꯤꯡꯃꯛꯇ ꯌꯨꯔꯣꯄꯤꯌꯟ ꯆꯛꯔꯒ ꯆꯞ ꯃꯥꯟꯅꯅ ꯄꯤ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯍꯦꯟꯅ ꯂꯩꯕ ꯄꯣꯀꯦꯠ ꯑꯗꯨ ꯃꯃꯜ ꯈꯛꯇꯅꯤ: ꯃꯍꯧꯁꯥꯒꯤ ꯕꯦꯠꯁꯤꯡꯗ 5.26%, ꯃꯁꯤꯡ ꯃꯉꯥꯒꯤ ꯕꯥꯁ꯭ꯀꯦꯠꯇꯕꯦꯠꯕꯥꯁ꯭ꯀꯦꯠꯁꯤꯡꯒꯜ ꯖꯤꯔꯣ ꯆꯛꯔꯗ: ꯆꯤꯞ ꯑꯃꯅ 0, 1, 2, 3, 8:1 ꯄꯦꯑꯥꯎꯠ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯑꯍꯥꯅꯕ ꯃꯔꯤ, ꯀꯥꯠꯔ ꯄ꯭ꯔꯦꯃꯤꯌꯦ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → 7.89%꯫
ꯃꯁꯤꯡ ꯊꯤꯕ
ꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞꯕꯦꯠꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞꯃꯁꯤꯡ ꯑꯃꯈꯛꯇ, 35:1 ꯄꯦꯑꯥꯎꯠ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯅ 1/38ꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕꯗ ꯃꯥꯏꯄꯥꯀꯏ ꯑꯃꯁꯨꯡ 35:1 ꯄꯤ: EV = 35/38 − 37/38 = −2/38 = −5.26%꯫ ꯑꯇꯣꯞꯄ ꯕꯦꯠ ꯈꯨꯗꯤꯡꯃꯛꯅ ꯃꯁꯤꯡ ꯑꯗꯨꯃꯛ ꯄꯤ, ꯃꯔꯃꯗꯤ ꯄꯦꯑꯥꯎꯠꯀꯤꯁꯦꯜꯄꯦꯑꯥꯎꯠꯃꯥꯏꯄꯥꯛꯄ ꯕꯦꯠ ꯑꯃꯅ ꯍꯜꯂꯛꯄ ꯁꯦꯜ, ꯍꯜꯂꯀꯄ ꯊꯝꯂꯕ ꯁꯦꯜꯒꯤ ꯃꯊꯛꯇ “X ꯗꯒꯤ 1” ꯍꯥꯌꯅ ꯍꯥꯌꯏ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯅꯤꯌꯝꯅ ꯍꯧꯖꯤꯀꯁꯨ ꯄꯣꯀꯦꯠꯈꯨꯠꯂꯥꯏꯄꯣꯀꯦꯠꯔꯣꯇꯔꯗ ꯂꯩꯕ ꯃꯁꯤꯡ ꯏꯔꯕ ꯀꯣꯠ 37 ꯒꯤ ꯃꯅꯨꯡꯗ ꯑꯃꯥ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯁ꯭ꯂꯣꯠ, ꯀꯞ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → 36 ꯈꯛꯇꯃꯛ ꯂꯩꯕ ꯑꯣꯏꯅ ꯂꯧꯏ꯫ ꯑꯈꯟꯅꯕ ꯑꯃꯈꯛꯇꯅꯤ 0-00-1-2-3ꯗ ꯊꯝꯕ ꯃꯁꯤꯡ ꯃꯉꯥꯒꯤ ꯕꯦꯠ, ꯃꯁꯤꯅ 6:1 ꯄꯤ, ꯑꯗꯨꯕꯨ ꯅꯤꯌꯝꯒꯤ ꯃꯇꯨꯡ ꯏꯟꯅꯗꯤ 36/5 − 1 = 6.2 ꯑꯣꯏꯒꯗꯕꯅꯤ; ꯃꯈꯥ ꯊꯥꯗꯨꯅ ꯄꯨꯟꯁꯤꯟꯕꯅ ꯃꯁꯤꯗ 7.89%ꯒꯤ ꯑꯦꯖ ꯄꯤ, ꯃꯁꯤ ꯔꯨꯂꯦꯠꯇ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯐꯠꯇꯕ ꯃꯍꯧꯁꯥꯒꯤ ꯕꯦꯠꯅꯤ꯫
ꯗꯕꯜ ꯖꯤꯔꯣ ꯔꯨꯂꯦꯠ ꯆꯛꯔꯒꯤ ꯁꯦꯃꯒꯠꯂꯛꯄ ꯃꯑꯣꯡ
ꯑꯃꯦꯔꯤꯀꯟ ꯆꯛꯔꯅ ꯇꯣꯉꯥꯟꯕ ꯊꯥꯛ ꯑꯃꯥ ꯁꯤꯖꯤꯟꯅꯩ, ꯃꯐꯝ ꯑꯗꯨꯗ 0 ꯑꯃꯁꯨꯡ 00 ꯑꯃꯒ ꯑꯃꯒ ꯃꯥꯌꯣꯛꯅꯅꯩ: 0 28 9 26 30 11 7 20 32 17 5 22 34 15 3 24 36 13 1 00 27 10 25 29 12 8 19 31 18 6 21 33 16 4 23 35 14 2꯫ ꯃꯊꯪ ꯃꯇꯨꯡ ꯂꯩꯕ ꯃꯁꯤꯡꯁꯤꯡ ꯆꯛꯔꯒꯤ ꯑꯃꯒ ꯑꯃꯒ ꯃꯥꯌꯣꯛꯅꯕ ꯃꯥꯏꯀꯩꯗ ꯂꯩ꯫ ꯚꯣꯌꯥꯖꯦꯟ ꯑꯃꯁꯨꯡ ꯇꯤꯌꯦꯌꯔꯒꯨꯝꯕ ꯀꯣꯜ ꯕꯦꯠꯁꯤꯡꯇꯦꯕꯜꯀꯣꯜ ꯕꯦꯠꯈꯨꯠꯅ ꯊꯝꯗꯅ ꯗꯤꯂꯔꯗ ꯂꯥꯑꯣꯊꯣꯛꯄ ꯕꯦꯠ, ꯌꯥꯝꯅ ꯚꯣꯌꯥꯖꯦꯟ ꯅꯠꯔꯒ ꯇꯤꯌꯦꯌꯔꯒꯨꯝꯕ ꯆꯛꯔꯒꯤ ꯁꯦꯛꯇꯔ ꯕꯦꯠ ꯑꯃꯅꯤ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: “ꯂꯥꯑꯣꯊꯣꯛꯄ ꯕꯦꯠ”꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯃꯁꯤꯗ ꯂꯩꯇꯦ, ꯃꯔꯃꯗꯤ ꯃꯈꯣꯌꯅ ꯇꯥꯀꯄ ꯁꯦꯛꯇꯔꯁꯤꯡꯆꯛꯔꯁꯦꯛꯇꯔꯆꯛꯔꯗ ꯃꯔꯛ ꯂꯩꯇꯅ ꯃꯈꯥ ꯆꯠꯅꯅ ꯂꯩꯕ ꯄꯣꯀꯦꯠꯁꯤꯡꯒꯤ ꯁꯔꯨꯛ, ꯂꯦꯑꯥꯎꯠꯇ ꯂꯩꯕ ꯀꯥꯡꯂꯨꯞ ꯑꯃꯗꯒꯤ ꯇꯣꯉꯥꯟꯅ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯗꯨ ꯂꯩꯇꯦ꯫
ꯑꯃꯦꯔꯤꯀꯟ ꯔꯨꯂꯦꯠ ꯇꯦꯕꯜ ꯀꯗꯥꯏꯗ ꯐꯪꯒꯅꯤ
ꯂꯥꯁ ꯚꯦꯒꯥꯁ ꯑꯃꯁꯨꯡ US ꯀꯦꯁꯤꯅꯣ ꯌꯥꯝꯅ ꯃꯔꯛ, ꯂꯦꯇꯤꯟ ꯑꯃꯦꯔꯤꯀꯥ ꯑꯃꯁꯨꯡ ꯀꯦꯔꯤꯕꯤꯌꯅꯒꯤ ꯀꯦꯁꯤꯅꯣ ꯈꯔ, ꯑꯃꯁꯨꯡ “ꯑꯃꯦꯔꯤꯀꯟ” ꯍꯥꯌꯅ ꯃꯃꯤꯡ ꯊꯣꯜꯂꯕ ꯑꯣꯅꯂꯥꯏꯟ ꯇꯦꯕꯜꯁꯤꯡ꯫ US ꯒꯤ ꯍꯥꯏ-ꯂꯤꯃꯤꯠ ꯔꯨꯝ ꯈꯔꯗ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯅꯦꯝꯕ ꯕꯦꯠ ꯍꯦꯟꯅ ꯋꯥꯡꯕ ꯁꯤꯡꯒꯜ ꯖꯤꯔꯣꯆꯛꯔꯖꯤꯔꯣꯆꯞ ꯃꯥꯟꯅꯕ, ꯗꯖꯟ ꯅꯠꯔꯒ ꯀꯂꯝ ꯕꯦꯠ ꯑꯃꯠꯇꯅ ꯀꯨꯞꯇꯕ ꯑꯁꯪꯕ ꯄꯣꯀꯦꯠ ꯑꯃꯈꯛꯇ; ꯍꯥꯎꯁ ꯑꯦꯖꯀꯤ ꯍꯧꯔꯀꯐꯝꯅꯤ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯁꯤꯡꯒꯜ ꯖꯤꯔꯣ, 0꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯇꯦꯕꯜ ꯄꯤ, ꯑꯃꯁꯨꯡ US ꯀꯦꯁꯤꯅꯣ ꯈꯔꯅ “ꯁꯔꯦꯟꯗꯔ” ꯄꯤ (0 ꯅꯠꯔꯒ 00 ꯊꯣꯀꯄꯗ ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠꯁꯤꯡꯒꯤꯕꯦꯠꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠꯑꯉꯥꯡꯕ/ꯑꯃꯨꯕ, ꯕꯤꯖꯣꯔ/ꯖꯣꯔ, ꯑꯋꯥꯡꯕ/ꯑꯅꯦꯝꯕ꯫ ꯃꯁꯤꯡ 18, 1:1 ꯄꯦꯑꯥꯎꯠ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯁꯔꯨꯛ ꯍꯜꯂꯛꯄ), ꯃꯁꯤꯅ ꯕꯦꯠ ꯑꯗꯨꯁꯤꯡ 2.63%ꯗ ꯄꯨꯔꯛꯏ꯫
ꯀꯔꯤꯒꯤꯅꯣ ꯃꯁꯤ ꯍꯧꯖꯤꯀꯁꯨ ꯂꯩꯔꯤ
ꯄꯨꯋꯥꯔꯤ ꯑꯃꯁꯨꯡ ꯊꯧꯑꯣꯡ꯫ ꯌꯨꯔꯣꯄꯇ ꯕ꯭ꯂꯥꯟꯅ (Blanc) ꯖꯤꯔꯣ ꯑꯃꯥ ꯂꯧꯊꯣꯛꯠꯔꯤꯉꯩꯗ ꯔꯨꯂꯦꯠ ꯖꯤꯔꯣ ꯑꯅꯤꯃꯛꯒ ꯂꯣꯌꯅꯅ ꯑꯃꯦꯔꯤꯀꯥ ꯌꯧꯈꯤ, ꯑꯃꯁꯨꯡ ꯀꯔꯤꯒꯨꯝꯕ ꯃꯥꯏꯄꯥꯛꯅꯕ ꯑꯃꯠꯇꯅ ꯍꯣꯡꯗꯣꯛꯅꯕ ꯐꯤꯔꯦꯟ ꯄꯤꯈꯤꯗꯦ꯫ US ꯀꯦꯁꯤꯅꯣꯁꯤꯡꯅ ꯈꯉꯂꯦ ꯃꯗꯨꯗꯤ ꯁꯥꯟꯅꯔꯤꯕꯁꯤꯡꯅ ꯍꯥꯎꯁ ꯑꯦꯖꯗꯒꯤꯃꯦꯊꯃꯦꯇꯤꯛꯁꯍꯥꯎꯁ ꯑꯦꯖꯊꯝꯂꯕ ꯁꯦꯜ ꯈꯨꯗꯤꯡꯗꯒꯤ ꯀꯦꯁꯤꯅꯣꯅ ꯑꯦꯚꯔꯦꯖꯗ ꯊꯃꯖꯤꯜꯂꯤꯕ ꯁꯔꯨꯛ: ꯌꯨꯔꯣꯄꯤꯌꯟ ꯔꯨꯂꯦꯠꯇ 2.70%꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯍꯦꯟꯅ ꯇꯦꯕꯜꯒꯤ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯅꯦꯝꯕ ꯕꯦꯠ ꯆꯥꯡꯗꯝꯅꯩ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯅꯦꯝꯕ $10 ꯂꯩꯕ ꯗꯕꯜ ꯖꯤꯔꯣ ꯆꯛꯔ ꯑꯃꯁꯨꯡ $100 ꯂꯩꯕ ꯁꯤꯡꯒꯜ ꯖꯤꯔꯣ ꯆꯛꯔ ꯂꯣꯌꯅꯅ ꯂꯩ꯫ ꯑꯅꯤꯃꯛ ꯃꯅꯥꯛ ꯃꯅꯥꯛꯇ ꯂꯩꯔꯕꯗꯤ, ꯃꯁꯤꯡ ꯊꯤꯕꯅ ꯍꯥꯌꯔꯤ ꯃꯗꯨꯗꯤ ꯊꯝꯂꯕ ꯁꯦꯜ ꯍꯦꯟꯅ ꯆꯥꯎꯕ ꯗꯕꯜ ꯖꯤꯔꯣꯗꯃꯈꯜꯗꯕꯜ ꯖꯤꯔꯣꯑꯃꯦꯔꯤꯀꯟ ꯆꯛꯔꯒꯤ 00 ꯄꯣꯀꯦꯠ꯫ ꯃꯁꯤ ꯂꯩꯕꯅ ꯍꯥꯎꯁ ꯑꯦꯖ 2.70% ꯗꯒꯤ 5.26% ꯐꯥꯑꯣꯕ ꯍꯦꯅꯒꯠꯍꯜꯂꯤ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯅꯠꯇꯅ ꯊꯝꯂꯕ ꯁꯦꯜ ꯍꯦꯟꯅ ꯅꯦꯝꯕ ꯁꯤꯡꯒꯜ ꯖꯤꯔꯣꯗ ꯁꯥꯟꯕꯤꯌꯨ꯫
ꯏꯒꯜ
ꯆꯍꯤ ꯆꯥꯃꯥꯒꯤ 19ꯁꯨꯕꯗ ꯑꯍꯥꯅꯕ ꯑꯃꯦꯔꯤꯀꯟ ꯆꯛꯔꯁꯤꯡꯅ ꯏꯒꯜ (ꯎꯆꯦꯛ) ꯑꯃꯒꯤ ꯃꯃꯤ ꯌꯥꯎꯕ ꯑꯍꯨꯃꯁꯨꯕ ꯀꯦꯁꯤꯅꯣꯒꯤ ꯄꯣꯀꯦꯠ ꯑꯃꯥ ꯍꯥꯄꯆꯤꯅꯈꯤ, ꯃꯁꯤꯅ 7%ꯗꯒꯤ ꯍꯦꯟꯕ ꯑꯦꯖ ꯄꯤꯈꯤ꯫ ꯃꯁꯤ ꯃꯥꯏꯄꯥꯛꯅꯕꯒꯤ ꯃꯃꯥꯡꯗ ꯂꯦꯞꯄ ꯉꯃꯈꯤꯗꯦ꯫ 2016ꯒꯤ ꯇ꯭ꯔꯤꯄꯜ ꯖꯤꯔꯣ ꯆꯛꯔ ꯑꯁꯤ ꯋꯥꯈꯜ ꯑꯗꯨꯃꯛꯅꯤ, ꯎꯆꯦꯛꯀꯤ ꯃꯍꯨꯠꯇ ꯂꯣꯒꯣ ꯑꯃꯒ ꯂꯣꯌꯅꯅ꯫
ꯋꯥꯍꯪꯁꯤꯡ
ꯇꯣꯉꯥꯅꯗꯦ꯫ ꯃꯔꯨꯑꯣꯏꯕ ꯋꯥꯐꯝ ꯑꯗꯨ ꯃꯁꯤꯅꯤ: ꯄꯦꯑꯥꯎꯠ ꯑꯗꯨꯃꯛ, ꯄꯣꯀꯦꯠ ꯍꯦꯟꯅ꯫
ꯀꯥꯟꯅꯗꯦ꯫ ꯃꯁꯤ ꯑꯇꯣꯞꯄꯁꯤꯡꯗꯒꯤ ꯇꯣꯉꯥꯟꯕ ꯑꯦꯖ ꯂꯩꯕ ꯔꯨꯂꯦꯠꯀꯤ ꯕꯦꯠ ꯑꯃꯈꯛꯇꯅꯤ, ꯑꯃꯁꯨꯡ ꯃꯁꯤ ꯍꯦꯟꯅ ꯐꯠꯇꯩ꯫
ꯌꯥꯏ, ꯁꯦꯃꯒꯠꯂꯛꯄ ꯃꯑꯣꯡ ꯑꯗꯨꯃꯛꯇ꯫ ꯃꯥꯡꯒꯗꯕ ꯁꯦꯜꯃꯦꯊꯃꯦꯇꯤꯛꯁꯃꯥꯡꯒꯗꯕ ꯁꯦꯜꯐꯪꯒꯗꯕ ꯃꯃꯂꯕꯨ ꯕꯦꯠ ꯊꯝꯂꯕ ꯁꯦꯜ ꯄꯨꯝꯅꯃꯛꯅ ꯃꯅꯥꯡꯕ; ꯁꯦꯁꯟ ꯅꯠꯔꯒ ꯃꯇꯝ ꯑꯃꯒꯤ ꯃꯅꯨꯡꯗ ꯃꯥꯡꯕ ꯑꯦꯚꯔꯦꯖ ꯁꯦꯜ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯁꯤ ꯌꯨꯅꯤꯠꯁꯦꯜꯌꯨꯅꯤꯠꯁꯤꯁ꯭ꯇꯦꯝ ꯅꯠꯔꯒ ꯁꯥꯟꯅꯔꯤꯕ ꯑꯃꯅ ꯁꯤꯖꯤꯟꯅꯕ ꯃꯔꯨꯑꯣꯏꯕ ꯊꯝꯂꯕ ꯁꯦꯜ꯫ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯅꯁꯤꯡ ꯌꯨꯅꯤꯠꯇ ꯁꯟꯗꯣꯛꯂꯤ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯃꯈꯣꯌ ꯀꯔꯤꯒꯨꯝꯕ ꯇꯦꯕꯜꯗ ꯆꯠꯂꯤ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → 20ꯒꯤ 2.70%ꯒꯤ ꯃꯍꯨꯠꯇ 5.26%ꯅꯤ꯫
ꯅꯣꯛꯅꯕꯒꯤ ꯀꯃꯤꯛ

ꯄꯦꯑꯥꯎꯠ ꯑꯗꯨꯃꯛ꯫ ꯄꯣꯀꯦꯠ ꯀꯨꯟꯊꯔꯥꯅꯤꯄꯥꯟ꯫ 5.26%꯫
ꯍꯧꯔꯛꯐꯃꯁꯤꯡ
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Schwartz, D. G. Roll the Bones: The History of Gambling.