ꯁꯥꯏꯗ ꯕꯦꯠꯁꯤꯡ ꯑꯃꯁꯨꯡ ꯈꯉꯅꯗꯕ ꯒꯦꯃꯁꯤꯡ
ꯁꯥꯏꯗ ꯕꯦꯠꯁꯤꯡ, ꯈꯉꯅꯗꯕ ꯆꯛꯔꯁꯤꯡ ꯑꯃꯁꯨꯡ ꯀꯥꯔꯗ ꯔꯨꯂꯦꯠꯀꯤ ꯃꯔꯃꯗ ꯋꯥꯍꯪ ꯇꯔꯥ, ꯋꯥꯍꯪ ꯇꯔꯥꯃꯉꯥꯒꯤ ꯄꯨꯜ ꯑꯃꯗꯒꯤ꯫ ꯄꯥꯎꯈꯨꯝ ꯑꯃꯠꯇ 2.70% ꯅꯠꯇꯦ꯫
ꯀꯂꯔꯁ, ꯅꯤꯌꯨꯋꯥꯔ, ꯄ꯭ꯔꯥꯏꯝ ꯇꯥꯏꯝ, ꯕꯣꯅꯁ ꯕꯣꯛꯁ, ꯄ꯭ꯔꯣ-ꯑꯦꯒ꯭ꯔꯦꯁꯤꯚ, ꯂꯥꯏꯇꯅꯤꯡ ꯂꯟꯆ, ꯀꯥꯔꯗ ꯔꯨꯂꯦꯠ, ꯆꯥꯏꯅꯤꯖ ꯔꯨꯂꯦꯠ ꯑꯃꯁꯨꯡ ꯅꯣꯛꯅꯕꯒꯤ ꯁꯤꯁ꯭ꯇꯦꯝ ꯑꯃꯥ꯫ ꯃꯇꯝ ꯈꯨꯗꯤꯡꯗ ꯌꯥꯎꯅꯍꯜꯂꯕ ꯃꯜꯇꯤꯄꯜ ꯆꯣꯏꯁ ꯋꯥꯍꯪꯁꯤꯡ, ꯑꯃꯁꯨꯡ ꯅꯍꯥꯛꯅ ꯑꯔꯥꯟꯕ ꯄꯥꯎꯈꯨꯝ ꯄꯤꯈꯤꯕ ꯈꯨꯗꯤꯡꯃꯛ ꯇꯥꯀꯄꯤꯕ ꯄꯦꯖꯒꯤ ꯂꯤꯉ꯭ꯛ ꯂꯩ꯫
ꯁ꯭ꯀꯣꯔ
10: ꯅꯍꯥꯛꯅ ꯑꯅꯧꯕ ꯁꯥꯏꯗ ꯕꯦꯠꯕꯦꯠꯁꯥꯏꯗ ꯕꯦꯠꯃꯔꯨꯑꯣꯏꯕ ꯁꯥꯟꯅꯕꯗ ꯁꯝꯃꯤꯟꯅꯕ ꯊꯃꯒꯗꯕ ꯅꯠꯇꯕ ꯍꯦꯟꯅꯥ ꯊꯝꯕ ꯕꯦꯠ, ꯌꯥꯝꯅ ꯁ꯭ꯇ꯭ꯔꯤꯛ, ꯕꯣꯅꯁ ꯊꯧꯔꯝ ꯅꯠꯔꯒ ꯖꯦꯀꯄꯣꯠ ꯑꯃꯗ꯫ ꯌꯥꯝꯅ ꯃꯇꯃꯗ ꯃꯔꯨꯑꯣꯏꯕ ꯕꯦꯠꯁꯤꯡꯗꯒꯤ ꯃꯃꯜ ꯍꯦꯟꯅꯥ ꯆꯪꯏ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯒꯤ ꯃꯃꯜ ꯀꯦꯁꯤꯅꯣꯗꯒꯤ ꯃꯃꯥꯡꯗ ꯊꯤꯕ ꯉꯝꯒꯅꯤ꯫
8–9: ꯅꯍꯥꯛꯅ ꯄꯦꯑꯥꯎꯠ ꯇꯦꯕꯜꯁꯤꯡꯁꯦꯜꯄꯦꯑꯥꯎꯠ ꯇꯦꯕꯜꯕꯦꯠ ꯅꯠꯔꯒ ꯃꯍꯩ ꯈꯨꯗꯤꯡꯃꯛꯅ ꯀꯌꯥ ꯄꯤꯕꯒꯦ ꯍꯥꯌꯕꯒꯤ ꯂꯤꯁ꯭ꯠ꯫ ꯃꯦꯁꯤꯅꯁꯤꯡ ꯑꯃꯁꯨꯡ ꯁꯥꯏꯗ ꯕꯦꯠꯁꯤꯡꯗ ꯍꯥꯎꯁ ꯑꯦꯖ ꯂꯦꯞꯄꯤꯕ ꯃꯐꯝꯅꯤ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯀꯦꯁꯤꯅꯣꯅ ꯄꯥꯕꯒꯨꯝꯅ ꯄꯥꯏ꯫
5–7: ꯁꯥꯏꯗ ꯕꯦꯠꯁꯤꯡ ꯑꯃꯁꯨꯡ ꯈꯉꯅꯗꯕ ꯆꯛꯔꯁꯤꯡꯒꯤ ꯄꯦꯖꯁꯤꯡꯅ ꯑꯇꯣꯞꯄꯁꯤꯡ ꯌꯥꯎꯏ꯫
5ꯗꯒꯤ ꯅꯦꯝꯂꯕꯗꯤ: ꯍꯥꯎꯁ ꯑꯦꯖꯗꯒꯤꯃꯦꯊꯃꯦꯇꯤꯛꯁꯍꯥꯎꯁ ꯑꯦꯖꯊꯝꯂꯕ ꯁꯦꯜ ꯈꯨꯗꯤꯡꯗꯒꯤ ꯀꯦꯁꯤꯅꯣꯅ ꯑꯦꯚꯔꯦꯖꯗ ꯊꯃꯖꯤꯜꯂꯤꯕ ꯁꯔꯨꯛ: ꯌꯨꯔꯣꯄꯤꯌꯟ ꯔꯨꯂꯦꯠꯇ 2.70%꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯍꯧꯕꯤꯌꯨ, ꯃꯇꯨꯡꯗ ꯍꯟꯅꯥ ꯂꯥꯀꯄꯤꯌꯨ꯫
ꯋꯥꯍꯪꯁꯤꯡ ꯀꯗꯥꯏꯗꯒꯤ ꯂꯥꯀꯄꯒꯦ
ꯃꯈꯣꯌꯒꯤ ꯃꯌꯥꯝꯅ ꯕꯣꯜꯃꯟꯒꯤ “Mathematics of the Big Four Casino Table Games” (2021)ꯒꯤ ꯁꯃꯁ꯭ꯌꯥꯁꯤꯡꯗꯒꯤ ꯂꯥꯀꯏ, ꯑꯃꯁꯨꯡ ꯄꯥꯎꯈꯨꯃꯁꯤꯡ ꯑꯩꯈꯣꯌ ꯃꯁꯥꯃꯛꯅ ꯍꯤꯁꯥꯕ ꯇꯧꯈꯤꯕꯅꯤ꯫ ꯃꯈꯣꯌ ꯈꯨꯗꯤꯡꯃꯛꯀꯤ ꯇꯝꯕꯤꯕ ꯑꯁꯤ ꯁ꯭ꯇꯦꯟꯗꯔꯗ ꯕꯦꯠꯁꯤꯡꯒꯤꯒꯨꯝꯅꯤ: ꯃꯍꯩꯁꯤꯡ ꯃꯁꯤꯡ ꯊꯤꯕꯤꯌꯨ, ꯄꯦꯑꯥꯎꯠꯁꯤꯡꯅꯁꯦꯜꯄꯦꯑꯥꯎꯠꯃꯥꯏꯄꯥꯛꯄ ꯕꯦꯠ ꯑꯃꯅ ꯍꯜꯂꯛꯄ ꯁꯦꯜ, ꯍꯜꯂꯀꯄ ꯊꯝꯂꯕ ꯁꯦꯜꯒꯤ ꯃꯊꯛꯇ “X ꯗꯒꯤ 1” ꯍꯥꯌꯅ ꯍꯥꯌꯏ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯃꯥꯏꯄꯨꯟꯕꯤꯌꯨ, ꯑꯃꯁꯨꯡ ꯂꯦꯃꯍꯧꯔꯤꯕ ꯑꯗꯨ ꯃꯃꯂꯅꯤ꯫ ꯈꯦꯠꯅꯕ ꯑꯗꯨꯗꯤ ꯃꯐꯝ ꯑꯁꯤꯗ ꯃꯃꯜ ꯑꯗꯨ ꯕꯦꯠ ꯑꯃꯗꯒꯤ ꯑꯃꯗ ꯍꯣꯡꯏ, ꯑꯃꯁꯨꯡ ꯑꯃꯨꯛ ꯑꯅꯤ ꯀꯥꯒꯖꯗ ꯁꯥꯟꯅꯔꯤꯕꯒꯤ ꯃꯥꯏꯀꯩꯗ ꯂꯩ꯫
ꯋꯥꯍꯪꯁꯤꯡ
ꯁ꯭ꯄꯤꯟ ꯇꯔꯥꯇꯔꯨꯛ ꯑꯁꯤ ꯃꯁꯤꯡ ꯑꯃꯥ ꯑꯃꯨꯛ ꯍꯟꯅꯥ ꯊꯣꯛꯅꯕ ꯌꯥꯝꯅ ꯍꯟꯊꯔꯦ ꯍꯥꯌꯅ ꯐꯥꯑꯣꯏ꯫ ꯄꯣꯀꯦꯠꯈꯨꯠꯂꯥꯏꯄꯣꯀꯦꯠꯔꯣꯇꯔꯗ ꯂꯩꯕ ꯃꯁꯤꯡ ꯏꯔꯕ ꯀꯣꯠ 37 ꯒꯤ ꯃꯅꯨꯡꯗ ꯑꯃꯥ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯁ꯭ꯂꯣꯠ, ꯀꯞ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → 38 ꯂꯩꯕꯗ ꯑꯃꯨꯛ ꯍꯟꯅꯥ ꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕ 97.5% ꯃꯔꯛ ꯂꯩ꯫
ꯈꯔꯗꯤ ꯁꯥꯟꯅꯔꯤ, ꯃꯌꯥꯝꯕꯗꯤ ꯃꯇꯝ ꯈꯔꯈꯛ ꯂꯩꯈꯤ꯫ ꯍꯤꯁꯥꯕ ꯑꯗꯨꯗꯤ ꯃꯈꯣꯌꯒꯤ ꯃꯍꯨꯠ ꯁꯤꯟꯂꯛꯀꯗꯕ ꯀꯔꯤꯒꯨꯝꯕ ꯑꯃꯗꯁꯨ ꯆꯠꯂꯤ꯫
ꯅꯣꯛꯅꯕꯒꯤ ꯀꯃꯤꯛ
ꯋꯥꯍꯪ ꯇꯔꯥꯃꯉꯥ꯫ ꯄꯥꯎꯈꯨꯝ ꯑꯃꯠꯇ 2.70% ꯅꯠꯇꯦ꯫
ꯍꯧꯔꯛꯐꯃꯁꯤꯡ
- Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette.