ꯔꯨꯂꯦꯠ ꯌꯨꯝꯂꯣꯟꯅꯕ ꯕꯦꯠ
ꯔꯨꯂꯦꯠꯀꯤ ꯌꯨꯝꯂꯣꯟꯅꯕ ꯕꯦꯠꯅ ꯃꯁꯤꯡ ꯑꯃꯥ ꯑꯃꯁꯨꯡ ꯆꯛꯔꯗ ꯃꯗꯨꯒꯤ ꯃꯥꯏꯀꯩ ꯑꯅꯤꯃꯛꯇ ꯂꯩꯕ ꯄꯣꯀꯦꯠ ꯑꯅꯤ ꯑꯅꯤ ꯀꯨꯞꯏ꯫

ꯆꯛꯔꯒꯤ ꯃꯉꯥꯒꯤ ꯁꯦꯛꯇꯔ ꯑꯃꯗ ꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞ ꯆꯤꯞ ꯃꯉꯥ꯫ ꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕ 13.51%; ꯃꯥꯏꯄꯥꯛꯂꯕꯗ ꯆꯤꯞ ꯑꯃꯗ 35:1 ꯄꯤ, ꯑꯇꯣꯞꯄ ꯃꯔꯤ ꯃꯥꯡꯏ, ꯅꯦꯠ +31 ꯌꯨꯅꯤꯠ꯫
ꯆꯛꯔꯗ ꯂꯩꯕ ꯃꯁꯤꯡ ꯑꯃꯥ ꯈꯅꯕꯤꯌꯨ꯫ ꯕꯦꯠ ꯑꯗꯨꯅ ꯃꯗꯨ ꯑꯃꯁꯨꯡ ꯃꯅꯥꯛ ꯈꯨꯗꯤꯡꯗ ꯂꯩꯕ ꯄꯣꯀꯦꯠ ꯑꯅꯤ ꯌꯥꯎꯏ꯫
ꯊꯝꯕꯒꯤ ꯃꯑꯣꯡ
“17 ꯑꯃꯁꯨꯡ ꯌꯨꯝꯂꯣꯟꯅꯕꯁꯤꯡꯕꯦꯠꯌꯨꯝꯂꯣꯟꯅꯕ ꯕꯦꯠꯆꯛꯔꯗ ꯃꯁꯤꯡ ꯑꯃꯥ ꯑꯃꯁꯨꯡ ꯃꯗꯨꯒꯤ ꯅꯥꯀꯜ ꯑꯅꯤꯃꯛꯇ ꯂꯩꯕ ꯄꯣꯀꯦꯠ ꯑꯅꯤ ꯑꯅꯤ, ꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞ ꯆꯤꯞ ꯃꯉꯥ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →” (ꯗꯤꯁ-ꯁꯦꯠ ꯑꯦ ꯂꯦ ꯚꯣꯌꯥꯖꯦꯟ) ꯍꯥꯌꯅ ꯂꯥꯑꯣꯊꯣꯀꯏ꯫ ꯗꯤꯂꯔꯅ ꯆꯤꯞꯁꯦꯜꯆꯤꯞꯂꯦꯞꯂꯕ ꯁꯦꯜꯒꯤ ꯃꯃꯜ ꯇꯥꯛꯄ ꯇꯣꯀꯟ, ꯕꯦꯠ ꯊꯝꯅꯕ ꯂꯦꯑꯥꯎꯠꯇ ꯊꯝꯃꯤ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯆꯦꯛ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯃꯉꯥ ꯊꯝꯃꯤ: 17 ꯑꯃꯁꯨꯡ ꯆꯛꯔꯗ ꯃꯗꯨꯒꯤ ꯃꯥꯏꯀꯩ ꯑꯅꯤꯃꯛꯇ ꯂꯩꯕ ꯄꯣꯀꯦꯠꯈꯨꯠꯂꯥꯏꯄꯣꯀꯦꯠꯔꯣꯇꯔꯗ ꯂꯩꯕ ꯃꯁꯤꯡ ꯏꯔꯕ ꯀꯣꯠ 37 ꯒꯤ ꯃꯅꯨꯡꯗ ꯑꯃꯥ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯁ꯭ꯂꯣꯠ, ꯀꯞ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯅꯤ ꯑꯅꯤ, ꯃꯈꯣꯌꯗꯤ ꯃꯥꯏꯀꯩ ꯑꯃꯗ 25 ꯑꯃꯁꯨꯡ 2, ꯑꯇꯣꯞꯄ ꯃꯥꯏꯀꯩꯗ 34 ꯑꯃꯁꯨꯡ 6꯫ ꯂꯥꯏꯕ ꯇꯦꯕꯜꯗ ꯔꯦꯁꯇ꯭ꯔꯦꯛꯇꯦꯕꯜꯔꯦꯁꯇ꯭ꯔꯦꯛꯂꯥꯏꯕ ꯑꯃꯁꯨꯡ ꯏꯂꯦꯛꯠꯔꯣꯅꯤꯛ ꯂꯦꯑꯥꯎꯠꯁꯤꯡꯗ ꯃꯁꯤꯡꯁꯤꯡ ꯆꯛꯔꯒꯤ ꯃꯊꯪ ꯃꯇꯨꯡ ꯏꯟꯅ ꯎꯠꯄ ꯑꯣꯚꯦꯜ ꯃꯑꯣꯡꯒꯤ ꯁꯔꯨꯛ, ꯌꯨꯝꯂꯣꯟꯅꯕ ꯑꯃꯁꯨꯡ ꯁꯦꯛꯇꯔ ꯕꯦꯠꯁꯤꯡ ꯇꯦꯞ ꯑꯃꯈꯛꯇꯅ ꯊꯝꯅꯕ ꯁꯤꯖꯤꯟꯅꯩ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯀꯤ ꯁ꯭ꯇ꯭ꯔꯤꯞ ꯑꯗꯨꯅ ꯇꯦꯞ ꯑꯃꯈꯛꯇ ꯃꯉꯥꯃꯛ ꯊꯝꯃꯤ; ꯈꯔꯥ ꯏꯟꯇꯔꯐꯦꯁꯁꯤꯡꯅ ꯃꯥꯏꯀꯩ ꯑꯃꯃꯃꯗ ꯌꯨꯝꯂꯣꯟꯅꯕ ꯑꯃꯗꯒꯤ ꯃꯥꯄꯟ ꯐꯥꯑꯣꯕ ꯈꯅꯕ ꯌꯥꯍꯜꯂꯤ꯫
ꯔꯨꯂꯦꯠ ꯌꯨꯝꯂꯣꯟꯅꯕ ꯕꯦꯠꯀꯤ ꯄꯦꯑꯥꯎꯠ ꯑꯃꯁꯨꯡ ꯐꯪꯒꯗꯕ ꯃꯃꯜ
ꯄꯣꯀꯦꯠ ꯃꯉꯥꯒꯤ ꯃꯅꯨꯡꯗꯒꯤ ꯀꯔꯝꯕ ꯑꯃꯅꯁꯨ ꯃꯁꯥꯒꯤ ꯆꯤꯞꯇ 35 ꯗꯒꯤ 1 ꯃꯥꯏꯄꯥꯛꯏ ꯑꯗꯨꯒꯥ ꯑꯇꯣꯞꯄ ꯆꯤꯞ ꯃꯔꯤ ꯃꯥꯡꯏ: ꯌꯨꯅꯤꯠ 5 ꯊꯝꯂꯕꯗ ꯅꯦꯠ +31 ꯌꯨꯅꯤꯠꯁꯦꯜꯌꯨꯅꯤꯠꯁꯤꯁ꯭ꯇꯦꯝ ꯅꯠꯔꯒ ꯁꯥꯟꯅꯔꯤꯕ ꯑꯃꯅ ꯁꯤꯖꯤꯟꯅꯕ ꯃꯔꯨꯑꯣꯏꯕ ꯊꯝꯂꯕ ꯁꯦꯜ꯫ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯅꯁꯤꯡ ꯌꯨꯅꯤꯠꯇ ꯁꯟꯗꯣꯛꯂꯤ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯃꯈꯣꯌ ꯀꯔꯤꯒꯨꯝꯕ ꯇꯦꯕꯜꯗ ꯆꯠꯂꯤ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →꯫ ꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕꯃꯦꯊꯃꯦꯇꯤꯛꯁꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕꯃꯍꯩ ꯑꯃꯥ ꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕ, 0 ꯗꯒꯤ 1 ꯐꯥꯑꯣꯕ ꯅꯠꯔꯒ 0% ꯗꯒꯤ 100% ꯐꯥꯑꯣꯕ꯫ ꯃꯁꯤꯡ ꯑꯃꯥ: 1/37 = 2.70%꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → 5/37 = 13.51%꯫ ꯁ꯭ꯄꯤꯟ ꯈꯨꯗꯤꯡꯒꯤ ꯐꯪꯒꯗꯕ ꯃꯃꯜꯃꯦꯊꯃꯦꯇꯤꯛꯁꯐꯪꯒꯗꯕ ꯃꯃꯜꯃꯇꯝ ꯁꯥꯡꯅ ꯌꯦꯡꯂꯕꯗ ꯕꯦꯠ ꯑꯃꯒꯤ ꯑꯦꯚꯔꯦꯖ ꯃꯍꯩ꯫ ꯃꯔꯨꯑꯣꯏꯕ ꯌꯨꯔꯣꯄꯤꯌꯟ ꯕꯦꯠ ꯈꯨꯗꯤꯡꯗ ꯊꯝꯂꯕ ꯁꯦꯜꯒꯤ −1/37꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →: (5/37)(31) − (32/37)(5) = (155 − 160)/37 = −5/37 ꯌꯨꯅꯤꯠ, ꯌꯨꯅꯤꯠ ꯃꯉꯥꯒꯤ 2.70%꯫ ꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞ ꯕꯦꯠ ꯃꯉꯥ, ꯑꯃꯁꯨꯡ ꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞꯀꯤ ꯍꯥꯎꯁ ꯑꯦꯖꯃꯦꯊꯃꯦꯇꯤꯛꯁꯍꯥꯎꯁ ꯑꯦꯖꯊꯝꯂꯕ ꯁꯦꯜ ꯈꯨꯗꯤꯡꯗꯒꯤ ꯀꯦꯁꯤꯅꯣꯅ ꯑꯦꯚꯔꯦꯖꯗ ꯊꯃꯖꯤꯜꯂꯤꯕ ꯁꯔꯨꯛ: ꯌꯨꯔꯣꯄꯤꯌꯟ ꯔꯨꯂꯦꯠꯇ 2.70%꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯃꯉꯥ꯫
ꯀꯔꯤꯒꯤ ꯂꯩꯕꯒꯦ
ꯆꯛꯔꯒꯤ ꯍꯛꯆꯥꯡ ꯂꯩꯕ ꯁꯔꯨꯛ ꯑꯃꯗ ꯕꯦꯠ ꯊꯝꯕꯒꯤ ꯃꯇꯧ ꯑꯣꯏꯕ ꯂꯝꯕꯤ ꯑꯃꯈꯛꯇꯅꯤ꯫ ꯁꯥꯠꯄ ꯁꯦꯛꯇꯔꯆꯛꯔꯁꯦꯛꯇꯔꯆꯛꯔꯗ ꯃꯔꯛ ꯂꯩꯇꯅ ꯃꯈꯥ ꯆꯠꯅꯅ ꯂꯩꯕ ꯄꯣꯀꯦꯠꯁꯤꯡꯒꯤ ꯁꯔꯨꯛ, ꯂꯦꯑꯥꯎꯠꯇ ꯂꯩꯕ ꯀꯥꯡꯂꯨꯞ ꯑꯃꯗꯒꯤ ꯇꯣꯉꯥꯟꯅ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯥ ꯐꯪꯂꯕ ꯆꯛꯔꯒꯤ ꯕꯥꯏꯌꯥꯁ ꯁꯥꯟꯅꯔꯤꯕ, ꯅꯠꯔꯒ ꯕꯣꯜꯈꯨꯠꯂꯥꯏꯕꯣꯜꯔꯣꯇꯔꯒꯤ ꯃꯥꯌꯣꯛꯇ ꯇ꯭ꯔꯦꯛꯇ ꯊꯥꯗꯣꯛꯄ ꯑꯄꯤꯛꯄ ꯕꯣꯜ꯫ ꯍꯧꯖꯤꯛꯀꯤ ꯕꯣꯜꯁꯤꯡ ꯑꯥꯏꯚꯣꯔꯤꯟ ꯅꯠꯔꯒ ꯇꯦꯐ꯭ꯂꯣꯅꯅ ꯁꯦꯝꯃꯤ, 18–21 mm꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯗꯨ ꯊꯥꯗꯣꯛꯄ ꯃꯐꯃꯗꯒꯤ ꯂꯥꯞꯄ ꯑꯗꯨꯃꯛꯇ ꯇꯥꯏ ꯍꯥꯌꯅ ꯊꯥꯖꯕ ꯗꯤꯂꯔ-ꯁꯤꯒ꯭ꯅꯦꯆꯔ ꯊꯥꯖꯕ ꯃꯤꯑꯣꯏꯅ ꯄꯥꯝꯕ ꯕꯦꯠ ꯑꯗꯨꯅꯤ꯫ ꯑꯇꯣꯞꯄ ꯄꯨꯝꯅꯃꯛꯀꯤꯗꯃꯛꯇꯗꯤ ꯃꯁꯤ ꯋꯥꯔꯤ ꯑꯃꯥ ꯌꯥꯎꯕ ꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞ ꯃꯉꯥꯅꯤ꯫ ꯄꯦꯑꯥꯎꯠꯁꯦꯜꯄꯦꯑꯥꯎꯠꯃꯥꯏꯄꯥꯛꯄ ꯕꯦꯠ ꯑꯃꯅ ꯍꯜꯂꯛꯄ ꯁꯦꯜ, ꯍꯜꯂꯀꯄ ꯊꯝꯂꯕ ꯁꯦꯜꯒꯤ ꯃꯊꯛꯇ “X ꯗꯒꯤ 1” ꯍꯥꯌꯅ ꯍꯥꯌꯏ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯀꯤ ꯃꯑꯣꯡ ꯑꯁꯤ ꯃꯔꯤ ꯂꯩꯅꯗꯕ ꯃꯁꯤꯡ ꯃꯉꯥꯒꯥ ꯆꯞ ꯃꯥꯟꯅꯩ꯫
ꯔꯨꯂꯦꯠ ꯆꯛꯔꯗ ꯌꯨꯝꯂꯣꯟꯅꯕꯁꯤꯡ ꯊꯤꯕ
ꯀꯅꯥꯒꯤꯁꯨ ꯌꯨꯝꯂꯣꯟꯅꯕꯁꯤꯡ ꯊꯤꯅꯕ ꯌꯨꯔꯣꯄꯤꯌꯟ ꯃꯇꯨꯡ ꯏꯟꯅꯕ ꯁꯤꯖꯤꯟꯅꯕꯤꯌꯨ: 0 32 15 19 4 21 2 25 17 34 6 27 13 36 11 30 8 23 10 5 24 16 33 1 20 14 31 9 22 18 29 7 28 12 35 3 26, 26 ꯗꯒꯤ 0 ꯗ ꯍꯟꯅꯥ ꯀꯣꯏꯔꯛꯇꯨꯅ꯫ ꯖꯤꯔꯣꯆꯛꯔꯖꯤꯔꯣꯆꯞ ꯃꯥꯟꯅꯕ, ꯗꯖꯟ ꯅꯠꯔꯒ ꯀꯂꯝ ꯕꯦꯠ ꯑꯃꯠꯇꯅ ꯀꯨꯞꯇꯕ ꯑꯁꯪꯕ ꯄꯣꯀꯦꯠ ꯑꯃꯈꯛꯇ; ꯍꯥꯎꯁ ꯑꯦꯖꯀꯤ ꯍꯧꯔꯀꯐꯝꯅꯤ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯁꯤꯡꯒꯜ ꯖꯤꯔꯣ, 0꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯒꯤ ꯌꯨꯝꯂꯣꯟꯅꯕꯁꯤꯡꯗꯤ ꯃꯥꯏꯀꯩ ꯑꯃꯗ 26, 3 ꯑꯃꯁꯨꯡ ꯑꯇꯣꯞꯄ ꯃꯥꯏꯀꯩꯗ 32, 15꯫ ꯍꯨꯏꯜ ꯚꯤꯖꯨꯑꯦꯂꯥꯏꯖꯔ ꯈꯨꯠꯂꯥꯏꯅ ꯈꯅꯕ ꯈꯨꯗꯤꯡꯃꯛ ꯆꯛꯔꯒꯤ ꯃꯄꯥꯟꯊꯣꯡꯗ ꯎꯠꯂꯤ꯫
ꯃꯈꯂꯁꯤꯡ
“1 ꯒꯤ ꯌꯨꯝꯂꯣꯟꯅꯕ”ꯅ ꯆꯤꯞ ꯑꯍꯨꯝ ꯊꯝꯃꯤ; “3 ꯒꯤ”ꯅ ꯇꯔꯦꯠ ꯊꯝꯃꯤ꯫ ꯈꯔꯥ ꯀꯦꯁꯤꯅꯣꯁꯤꯡꯅ ꯃꯁꯤꯡ ꯃꯉꯥꯗ ꯁꯔꯨꯛ ꯁꯔꯨꯛ ꯈꯥꯌꯗꯣꯛꯂꯕ ꯆꯤꯞ ꯑꯃꯈꯛꯀꯤ ꯌꯨꯝꯂꯣꯟꯅꯕ ꯕꯦꯠ ꯌꯥꯕꯤ, ꯃꯗꯨꯒꯤ ꯁꯔꯨꯛ ꯃꯇꯨꯡ ꯏꯟꯅꯥ ꯄꯤ꯫ ꯃꯈꯥꯗ ꯂꯩꯕ ꯑꯔꯤꯊꯃꯦꯇꯤꯛ ꯑꯗꯨ ꯀꯩꯗꯧꯉꯩꯗꯁꯨ ꯍꯣꯡꯗꯦ: ꯆꯤꯞ ꯈꯨꯗꯤꯡꯃꯛ ꯆꯨꯝꯃꯤꯟꯅꯕ 36 ꯗꯒꯤ 1 ꯒꯤ ꯃꯍꯨꯠꯇ 35 ꯗꯒꯤ 1 ꯄꯤꯕ ꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞꯕꯦꯠꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞꯃꯁꯤꯡ ꯑꯃꯈꯛꯇ, 35:1 ꯄꯦꯑꯥꯎꯠ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯅꯤ꯫
ꯋꯥꯍꯪꯁꯤꯡ
ꯑꯃꯦꯔꯤꯀꯟ ꯃꯇꯨꯡ ꯏꯟꯅꯕꯒꯥ ꯂꯣꯌꯅꯅ ꯌꯥꯏ, ꯑꯗꯨꯕꯨ ꯌꯨ.ꯑꯦꯁ. ꯇꯦꯕꯜꯁꯤꯡꯗ ꯔꯦꯁꯇ꯭ꯔꯦꯛ ꯌꯥꯝꯅꯥ ꯈꯟꯗꯦ ꯑꯃꯁꯨꯡ ꯃꯐꯝ ꯑꯗꯨꯗ ꯀꯣꯜ ꯕꯦꯠꯁꯤꯡꯇꯦꯕꯜꯀꯣꯜ ꯕꯦꯠꯈꯨꯠꯅ ꯊꯝꯗꯅ ꯗꯤꯂꯔꯗ ꯂꯥꯑꯣꯊꯣꯛꯄ ꯕꯦꯠ, ꯌꯥꯝꯅ ꯚꯣꯌꯥꯖꯦꯟ ꯅꯠꯔꯒ ꯇꯤꯌꯦꯌꯔꯒꯨꯝꯕ ꯆꯛꯔꯒꯤ ꯁꯦꯛꯇꯔ ꯕꯦꯠ ꯑꯃꯅꯤ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: “ꯂꯥꯑꯣꯊꯣꯛꯄ ꯕꯦꯠ”꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯌꯥꯝꯅ ꯁꯤꯖꯤꯟꯅꯗꯦ꯫
ꯑꯃꯥ ꯐꯪꯂꯕꯥ ꯃꯇꯨꯡꯗ ꯃꯁꯤ ꯆꯨꯝꯕ ꯕꯦꯠꯅꯤ꯫ ꯑꯃꯥ ꯊꯤꯕꯗ ꯏꯔꯝꯂꯕ ꯁ꯭ꯄꯤꯟ ꯂꯤꯁꯤꯡ ꯀꯌꯥ ꯃꯊꯧ ꯇꯥꯏ; ꯂꯦꯕ ꯌꯦꯡꯕꯤꯌꯨ꯫
ꯅꯣꯛꯅꯕꯒꯤ ꯀꯃꯤꯛ

ꯆꯛꯔꯗ ꯌꯨꯝꯂꯣꯟꯅꯕ, ꯇꯦꯕꯜꯗ ꯃꯤꯇꯣꯞ꯫
ꯍꯧꯔꯛꯐꯃꯁꯤꯡ
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Barnhart, R. T. Beating the Wheel.