ꯕꯦꯠꯁꯤꯡ ꯑꯃꯁꯨꯡ ꯄꯦꯑꯥꯎꯠꯁꯤꯡ
ꯂꯦꯑꯥꯎꯠꯈꯨꯠꯂꯥꯏꯂꯦꯑꯥꯎꯠꯇꯦꯕꯜꯗ ꯏꯔꯕ ꯕꯦꯠ ꯊꯝꯕꯒꯤ ꯒ꯭ꯔꯤꯗ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯇꯦꯕꯜ, ꯐꯦꯜꯠ, ꯀ꯭ꯂꯣꯊ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯄꯥꯕꯤꯌꯨ, ꯕꯦꯠ ꯑꯗꯨꯒꯤ ꯃꯃꯤꯡ ꯍꯥꯌꯕꯤꯌꯨ꯫ ꯋꯥꯍꯪ ꯇꯔꯥꯃꯉꯥꯒꯤ ꯄꯨꯜ ꯑꯃꯗꯒꯤ ꯂꯧꯕ ꯋꯥꯍꯪ ꯇꯔꯥ: ꯆꯤꯞꯁꯤꯡꯁꯦꯜꯆꯤꯞꯂꯦꯞꯂꯕ ꯁꯦꯜꯒꯤ ꯃꯃꯜ ꯇꯥꯛꯄ ꯇꯣꯀꯟ, ꯕꯦꯠ ꯊꯝꯅꯕ ꯂꯦꯑꯥꯎꯠꯇ ꯊꯝꯃꯤ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯆꯦꯛ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯀꯗꯥꯏꯗ ꯊꯝꯒꯗꯒꯦ ꯑꯃꯁꯨꯡ ꯃꯈꯣꯌꯅ ꯀꯌꯥ ꯄꯤꯕꯒꯦ꯫
ꯁ꯭ꯞꯂꯤꯠꯁꯤꯡꯕꯦꯠꯁ꯭ꯞꯂꯤꯠꯌꯨꯝꯂꯣꯟꯅꯕ ꯃꯁꯤꯡ ꯑꯅꯤ, 17:1 ꯄꯦꯑꯥꯎꯠ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →, ꯁ꯭ꯇ꯭ꯔꯤꯠꯁꯤꯡꯕꯦꯠꯁ꯭ꯇ꯭ꯔꯤꯠꯂꯦꯑꯥꯎꯠꯀꯤ ꯂꯥꯏꯟ ꯑꯃꯗ ꯂꯩꯕ ꯃꯁꯤꯡ ꯑꯍꯨꯝ, 11:1 ꯄꯦꯑꯥꯎꯠ꯫ ꯐ꯭ꯔꯦꯟꯆ: ꯇ꯭ꯔꯥꯟꯁꯚꯔꯁꯥꯜ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →, ꯀꯣꯔꯅꯔꯁꯤꯡꯕꯦꯠꯀꯣꯔꯅꯔꯂꯦꯑꯥꯎꯠꯇ ꯀꯣꯟꯅꯥ ꯑꯃꯥ ꯁꯦꯌꯔ ꯇꯧꯅꯔꯤꯕ ꯃꯁꯤꯡ ꯃꯔꯤ, 8:1 ꯄꯦꯑꯥꯎꯠ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →, ꯁꯤꯛꯁ ꯂꯥꯏꯟꯁꯤꯡꯕꯦꯠꯁꯤꯛꯁ ꯂꯥꯏꯟꯌꯨꯝꯂꯣꯟꯅꯕ ꯂꯥꯏꯟ ꯑꯅꯤꯗ ꯂꯩꯕ ꯃꯁꯤꯡ ꯇꯔꯨꯛ, 5:1 ꯄꯦꯑꯥꯎꯠ꯫ ꯐ꯭ꯔꯦꯟꯆ: ꯁꯤꯖꯦꯟ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →, ꯗꯖꯟꯁꯤꯡꯕꯦꯠꯗꯖꯟ1–12, 13–24 ꯅꯠꯔꯒ 25–36, 2:1 ꯄꯦꯑꯥꯎꯠ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →, ꯀꯂꯝꯁꯤꯡꯕꯦꯠꯀꯂꯝꯂꯦꯑꯥꯎꯠꯀꯤ ꯊꯣꯡꯅꯥꯡꯒꯤ ꯀꯂꯝ ꯑꯃꯗ ꯂꯩꯕ ꯃꯁꯤꯡ ꯇꯔꯥꯅꯤꯊꯣꯏ, 2:1 ꯄꯦꯑꯥꯎꯠ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯁꯨꯡ ꯐ꯭ꯔꯦꯟꯆ ꯀꯣꯜ ꯕꯦꯠꯁꯤꯡꯇꯦꯕꯜꯀꯣꯜ ꯕꯦꯠꯈꯨꯠꯅ ꯊꯝꯗꯅ ꯗꯤꯂꯔꯗ ꯂꯥꯑꯣꯊꯣꯛꯄ ꯕꯦꯠ, ꯌꯥꯝꯅ ꯚꯣꯌꯥꯖꯦꯟ ꯅꯠꯔꯒ ꯇꯤꯌꯦꯌꯔꯒꯨꯝꯕ ꯆꯛꯔꯒꯤ ꯁꯦꯛꯇꯔ ꯕꯦꯠ ꯑꯃꯅꯤ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: “ꯂꯥꯑꯣꯊꯣꯛꯄ ꯕꯦꯠ”꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →꯫ 8 ꯅꯠꯔꯒꯥ ꯃꯗꯨꯗꯒꯤ ꯍꯦꯟꯅꯥ ꯐꯪꯂꯕꯗꯤ ꯅꯍꯥꯛꯅ ꯀꯅꯥꯒꯨꯝꯕ ꯑꯃꯗ ꯍꯪꯗꯅ ꯇꯦꯕꯜ ꯑꯃꯍꯦꯛꯇ ꯕꯦꯠ ꯑꯃꯍꯦꯛꯇ ꯊꯝꯕ ꯉꯝꯒꯅꯤ꯫
ꯁ꯭ꯀꯣꯔ
10: ꯅꯍꯥꯛꯅ ꯗꯤꯂꯔ ꯑꯣꯏꯕ ꯌꯥꯏ꯫
8–9: ꯅꯍꯥꯛꯅ ꯍꯪꯗꯅ ꯕꯦꯠ ꯑꯃꯍꯦꯛꯇ ꯊꯝꯕ ꯉꯝꯏ꯫
5–7: ꯅꯍꯥꯛꯅ ꯃꯄꯥꯟꯒꯤ ꯕꯦꯠꯁꯤꯡꯕꯦꯠꯃꯄꯥꯟꯒꯤ ꯕꯦꯠꯒ꯭ꯔꯤꯗꯀꯤ ꯃꯄꯥꯟꯗ ꯂꯩꯕ ꯕꯀꯁꯁꯤꯡꯗ ꯊꯝꯕ ꯕꯦꯠ: ꯗꯖꯟꯁꯤꯡ, ꯀꯂꯝꯁꯤꯡ ꯑꯃꯁꯨꯡ ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠꯁꯤꯡ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯈꯉꯏ; ꯔꯨꯂꯦꯠ ꯕꯦꯠꯁꯤꯡꯒꯤ ꯁꯦꯛꯁꯟꯗ ꯃꯅꯨꯡꯒꯤ ꯕꯦꯠꯕꯦꯠꯃꯅꯨꯡꯒꯤ ꯕꯦꯠꯒ꯭ꯔꯤꯗꯀꯤ ꯃꯁꯤꯡꯁꯤꯡꯒꯤ ꯃꯊꯛꯇ ꯅꯠꯔꯒ ꯃꯈꯣꯌꯒꯤ ꯃꯔꯛꯇ ꯊꯝꯕ ꯕꯦꯠ ꯀꯔꯤꯒꯨꯝꯕ: ꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞ, ꯁ꯭ꯞꯂꯤꯠ, ꯁ꯭ꯇ꯭ꯔꯤꯠ, ꯀꯣꯔꯅꯔ, ꯁꯤꯛꯁ ꯂꯥꯏꯟ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯈꯨꯗꯤꯡꯒꯤ ꯄꯦꯖ ꯑꯃꯃꯃ ꯂꯩ꯫
5ꯗꯒꯤ ꯅꯦꯝꯂꯕꯗꯤ: ꯔꯨꯂꯦꯠ ꯇꯦꯕꯜ ꯑꯃꯁꯨꯡ ꯔꯨꯂꯦꯠ ꯄꯦꯑꯥꯎꯠꯁꯤꯡꯗꯒꯤꯁꯦꯜꯄꯦꯑꯥꯎꯠꯃꯥꯏꯄꯥꯛꯄ ꯕꯦꯠ ꯑꯃꯅ ꯍꯜꯂꯛꯄ ꯁꯦꯜ, ꯍꯜꯂꯀꯄ ꯊꯝꯂꯕ ꯁꯦꯜꯒꯤ ꯃꯊꯛꯇ “X ꯗꯒꯤ 1” ꯍꯥꯌꯅ ꯍꯥꯌꯏ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯍꯧꯕꯤꯌꯨ, ꯃꯇꯨꯡꯗ ꯍꯟꯅꯥ ꯂꯥꯀꯄꯤꯌꯨ꯫
ꯅꯤꯌꯝ ꯑꯃꯈꯛ
ꯇꯦꯕꯜꯗ ꯂꯩꯕ ꯄꯦꯑꯥꯎꯠ ꯈꯨꯗꯤꯡꯃꯛ 36ꯕꯨ ꯀꯚꯔ ꯇꯧꯔꯕ ꯃꯁꯤꯡꯁꯤꯡꯅ ꯈꯥꯌꯗꯨꯅ ꯑꯃꯥ ꯂꯧꯊꯣꯀꯄꯅꯤ꯫ ꯃꯁꯤꯡ ꯑꯃꯥ: 35꯫ ꯑꯅꯤ: 17꯫ ꯑꯍꯨꯝ: 11꯫ ꯃꯔꯤ: 8꯫ ꯇꯔꯨꯛ: 5꯫ ꯇꯔꯥꯅꯤꯊꯣꯏ: 2꯫ ꯇꯔꯥꯅꯤꯄꯥꯟ: 1꯫ ꯅꯤꯌꯝ ꯑꯁꯤ ꯇꯝꯂꯕꯗꯤ ꯀ꯭ꯕꯤꯖ ꯑꯁꯤ ꯂꯥꯏꯔꯕ ꯑꯣꯏꯒꯅꯤ; ꯇꯦꯕꯜ ꯑꯗꯨ ꯇꯝꯂꯕꯗꯤ ꯅꯤꯌꯝ ꯑꯁꯤ ꯃꯁꯥꯃꯛꯇꯅ ꯃꯌꯦꯛ ꯁꯦꯡꯅ ꯎꯒꯅꯤ꯫
ꯋꯥꯍꯪꯁꯤꯡ
ꯃꯔꯃꯗꯤ ꯃꯈꯣꯌ ꯑꯁꯤ ꯁꯥꯟꯅꯔꯤꯕ ꯌꯥꯝꯕꯅ ꯀꯩꯗꯧꯉꯩꯗꯁꯨ ꯇꯃꯗꯕ ꯕꯦꯠꯁꯤꯡꯅꯤ, ꯑꯃꯁꯨꯡ ꯇꯦꯕꯜ ꯅꯠꯇꯅ ꯆꯛꯔ ꯃꯊꯧ ꯇꯥꯕ ꯑꯃꯠꯈꯛ ꯑꯣꯏꯕ ꯕꯦꯠꯁꯤꯡꯅꯤ꯫
ꯃꯁꯤ 36/n − 1ꯒꯤ ꯄꯦꯇꯔꯟ ꯊꯨꯒꯥꯏꯕ ꯕꯦꯠ ꯑꯃꯈꯛꯇꯅꯤ: ꯃꯁꯤꯡ ꯃꯉꯥꯅ 6.2ꯒꯤ ꯃꯍꯨꯠꯇ 6:1 ꯄꯤꯔꯤ꯫
ꯅꯣꯛꯅꯕꯒꯤ ꯀꯃꯤꯛ
ꯆꯤꯞ ꯑꯗꯨ ꯀꯗꯥꯏꯗ ꯊꯝꯕꯒꯦ ꯍꯥꯌꯕꯅ ꯀꯌꯥ ꯄꯤꯒꯅꯤ ꯍꯥꯌꯕ ꯂꯦꯞꯄꯤ꯫
ꯍꯧꯔꯛꯐꯃꯁꯤꯡ
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.