ꯚꯣꯌꯥꯖꯦꯟ ꯗꯨ ꯖꯦꯔꯣ ꯔꯨꯂꯦꯠ ꯕꯦꯠ
ꯔꯨꯂꯦꯠꯇ ꯚꯣꯌꯥꯖꯦꯟ ꯗꯨ ꯖꯦꯔꯣ ꯍꯥꯌꯕꯁꯤ “ꯖꯤꯔꯣꯒꯤ ꯌꯨꯝꯂꯣꯟꯅꯕꯁꯤꯡ” ꯍꯥꯌꯕꯅꯤ: ꯖꯤꯔꯣꯒꯤ ꯃꯅꯥꯛꯇ 22 ꯗꯒꯤ 25 ꯐꯥꯑꯣꯕ ꯄꯣꯀꯦꯠ ꯇꯔꯥꯅꯤꯇꯔꯦꯠ꯫

ꯆꯤꯞ ꯃꯥꯄꯟꯅ ꯃꯁꯤꯡ ꯇꯔꯥꯅꯤꯇꯔꯦꯠ ꯀꯨꯞꯏ꯫ ꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕꯃꯦꯊꯃꯦꯇꯤꯛꯁꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕꯃꯍꯩ ꯑꯃꯥ ꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕ, 0 ꯗꯒꯤ 1 ꯐꯥꯑꯣꯕ ꯅꯠꯔꯒ 0% ꯗꯒꯤ 100% ꯐꯥꯑꯣꯕ꯫ ꯃꯁꯤꯡ ꯑꯃꯥ: 1/37 = 2.70%꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → 45.95%꯫ ꯄꯦꯑꯥꯎꯠ ꯑꯁꯤ ꯀꯔꯝꯕ ꯃꯁꯤꯡ ꯂꯥꯀꯄꯒꯦ ꯃꯗꯨꯗ ꯃꯈꯥ ꯄꯣꯟꯂꯤ꯫
ꯔꯨꯂꯦꯠꯇ ꯚꯣꯌꯥꯖꯦꯟ ꯍꯥꯌꯕꯁꯤ ꯀꯔꯤꯅꯣ?
0-2-3 ꯁ꯭ꯇ꯭ꯔꯤꯠꯕꯦꯠꯁ꯭ꯇ꯭ꯔꯤꯠꯂꯦꯑꯥꯎꯠꯀꯤ ꯂꯥꯏꯟ ꯑꯃꯗ ꯂꯩꯕ ꯃꯁꯤꯡ ꯑꯍꯨꯝ, 11:1 ꯄꯦꯑꯥꯎꯠ꯫ ꯐ꯭ꯔꯦꯟꯆ: ꯇ꯭ꯔꯥꯟꯁꯚꯔꯁꯥꯜ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯇ ꯆꯤꯞꯁꯦꯜꯆꯤꯞꯂꯦꯞꯂꯕ ꯁꯦꯜꯒꯤ ꯃꯃꯜ ꯇꯥꯛꯄ ꯇꯣꯀꯟ, ꯕꯦꯠ ꯊꯝꯅꯕ ꯂꯦꯑꯥꯎꯠꯇ ꯊꯝꯃꯤ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯆꯦꯛ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯅꯤ, 25-26-28-29 ꯀꯣꯔꯅꯔꯕꯦꯠꯀꯣꯔꯅꯔꯂꯦꯑꯥꯎꯠꯇ ꯀꯣꯟꯅꯥ ꯑꯃꯥ ꯁꯦꯌꯔ ꯇꯧꯅꯔꯤꯕ ꯃꯁꯤꯡ ꯃꯔꯤ, 8:1 ꯄꯦꯑꯥꯎꯠ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯗ ꯑꯅꯤ, ꯑꯃꯁꯨꯡ ꯁ꯭ꯞꯂꯤꯠꯕꯦꯠꯁ꯭ꯞꯂꯤꯠꯌꯨꯝꯂꯣꯟꯅꯕ ꯃꯁꯤꯡ ꯑꯅꯤ, 17:1 ꯄꯦꯑꯥꯎꯠ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯃꯉꯥꯒꯤ ꯑꯃꯃꯃꯗ ꯆꯤꯞ ꯑꯃꯃꯃ: 4-7, 12-15, 18-21, 19-22, 32-35꯫ ꯆꯤꯞ ꯃꯥꯄꯟ, ꯄꯣꯀꯦꯠꯈꯨꯠꯂꯥꯏꯄꯣꯀꯦꯠꯔꯣꯇꯔꯗ ꯂꯩꯕ ꯃꯁꯤꯡ ꯏꯔꯕ ꯀꯣꯠ 37 ꯒꯤ ꯃꯅꯨꯡꯗ ꯑꯃꯥ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯁ꯭ꯂꯣꯠ, ꯀꯞ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯇꯔꯥꯅꯤꯇꯔꯦꯠ: 22 18 29 7 28 12 35 3 26 0 32 15 19 4 21 2 25, ꯃꯌꯥꯏꯗ ꯖꯤꯔꯣꯆꯛꯔꯖꯤꯔꯣꯆꯞ ꯃꯥꯟꯅꯕ, ꯗꯖꯟ ꯅꯠꯔꯒ ꯀꯂꯝ ꯕꯦꯠ ꯑꯃꯠꯇꯅ ꯀꯨꯞꯇꯕ ꯑꯁꯪꯕ ꯄꯣꯀꯦꯠ ꯑꯃꯈꯛꯇ; ꯍꯥꯎꯁ ꯑꯦꯖꯀꯤ ꯍꯧꯔꯀꯐꯝꯅꯤ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯁꯤꯡꯒꯜ ꯖꯤꯔꯣ, 0꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯂꯩꯕ ꯈꯥꯌꯗꯣꯛꯇꯕ ꯁꯔꯨꯛ ꯑꯃꯥ꯫ “ꯚꯣꯌꯥꯖꯦꯟ” (ꯂꯦ ꯚꯣꯌꯥꯖꯦꯟ ꯗꯨ ꯖꯦꯔꯣꯐ꯭ꯔꯦꯟꯆ · ꯁꯦꯛꯇꯔꯚꯣꯌꯥꯖꯦꯟ ꯗꯨ ꯖꯦꯔꯣ“ꯖꯤꯔꯣꯒꯤ ꯌꯨꯝꯂꯣꯟꯅꯕꯁꯤꯡ”: ꯆꯛꯔꯗ 22 ꯗꯒꯤ 25 ꯐꯥꯑꯣꯕ ꯃꯁꯤꯡ ꯇꯔꯥꯇꯔꯦꯠ, ꯆꯤꯞ ꯃꯥꯄꯟꯅ ꯕꯦꯠ ꯊꯝꯃꯤ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →) ꯍꯥꯌꯅ ꯂꯥꯑꯣꯊꯣꯀꯏ꯫
ꯄꯣꯀꯦꯠ ꯃꯇꯨꯡ ꯏꯟꯅꯥ ꯚꯣꯌꯥꯖꯦꯅꯒꯤ ꯄꯦꯑꯥꯎꯠ
ꯆꯤꯞꯁꯤꯡ ꯑꯣꯖꯟ ꯃꯥꯟꯅꯗꯅ ꯊꯝꯂꯤꯕꯅ, ꯄꯦꯑꯥꯎꯠꯁꯦꯜꯄꯦꯑꯥꯎꯠꯃꯥꯏꯄꯥꯛꯄ ꯕꯦꯠ ꯑꯃꯅ ꯍꯜꯂꯛꯄ ꯁꯦꯜ, ꯍꯜꯂꯀꯄ ꯊꯝꯂꯕ ꯁꯦꯜꯒꯤ ꯃꯊꯛꯇ “X ꯗꯒꯤ 1” ꯍꯥꯌꯅ ꯍꯥꯌꯏ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯁꯤ ꯕꯣꯜꯈꯨꯠꯂꯥꯏꯕꯣꯜꯔꯣꯇꯔꯒꯤ ꯃꯥꯌꯣꯛꯇ ꯇ꯭ꯔꯦꯛꯇ ꯊꯥꯗꯣꯛꯄ ꯑꯄꯤꯛꯄ ꯕꯣꯜ꯫ ꯍꯧꯖꯤꯛꯀꯤ ꯕꯣꯜꯁꯤꯡ ꯑꯥꯏꯚꯣꯔꯤꯟ ꯅꯠꯔꯒ ꯇꯦꯐ꯭ꯂꯣꯅꯅ ꯁꯦꯝꯃꯤ, 18–21 mm꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯀꯗꯥꯏꯗ ꯂꯥꯀꯄꯒꯦ ꯃꯗꯨꯗ ꯃꯈꯥ ꯄꯣꯟꯂꯤ꯫ ꯗꯕꯜ ꯁ꯭ꯇ꯭ꯔꯤꯠ 0-2-3 ꯗ ꯃꯥꯏꯄꯥꯛꯂꯕꯗ 11 × 2 = 22 ꯄꯤ ꯑꯃꯁꯨꯡ ꯑꯇꯣꯞꯄ ꯆꯤꯞ ꯇꯔꯦꯠ ꯃꯥꯡꯏ: ꯅꯦꯠ +15꯫ ꯗꯕꯜ ꯀꯣꯔꯅꯔ 25-26-28-29 ꯗ ꯃꯥꯏꯄꯥꯛꯂꯕꯗ 8 × 2 = 16 ꯄꯤ ꯑꯃꯁꯨꯡ ꯇꯔꯦꯠ ꯃꯥꯡꯏ: ꯅꯦꯠ +9꯫ ꯀꯔꯝꯕ ꯁ꯭ꯞꯂꯤꯠ ꯃꯁꯤꯡ ꯑꯃꯗ ꯃꯥꯏꯄꯥꯛꯂꯕꯗ ꯆꯤꯞ ꯑꯃꯗ 17 ꯄꯤ ꯑꯃꯁꯨꯡ ꯅꯤꯄꯥꯟ ꯃꯥꯡꯏ: ꯅꯦꯠ +9꯫ ꯃꯥꯏꯊꯤꯕ ꯈꯨꯗꯤꯡꯗ ꯃꯥꯄꯟꯃꯛ ꯃꯥꯡꯏ꯫
ꯃꯑꯣꯡ ꯃꯇꯧ
ꯂꯥꯑꯣꯊꯣꯀꯄ ꯑꯃꯈꯛꯇ ꯆꯛꯔꯒꯤ ꯁꯔꯨꯛ ꯑꯍꯦꯟꯕ ꯃꯇꯨꯡꯗ ꯀꯨꯞꯏ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯁ꯭ꯄꯤꯟ ꯑꯅꯤꯗ ꯑꯃꯨꯛ ꯃꯇꯨꯡꯗ ꯃꯥꯏꯄꯥꯛꯏ, ꯑꯃꯁꯨꯡ ꯃꯥꯏꯊꯤꯕ ꯈꯨꯗꯤꯡꯗ ꯌꯨꯅꯤꯠꯁꯦꯜꯌꯨꯅꯤꯠꯁꯤꯁ꯭ꯇꯦꯝ ꯅꯠꯔꯒ ꯁꯥꯟꯅꯔꯤꯕ ꯑꯃꯅ ꯁꯤꯖꯤꯟꯅꯕ ꯃꯔꯨꯑꯣꯏꯕ ꯊꯝꯂꯕ ꯁꯦꯜ꯫ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯅꯁꯤꯡ ꯌꯨꯅꯤꯠꯇ ꯁꯟꯗꯣꯛꯂꯤ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯃꯈꯣꯌ ꯀꯔꯤꯒꯨꯝꯕ ꯇꯦꯕꯜꯗ ꯆꯠꯂꯤ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯃꯥꯄꯟ ꯃꯥꯡꯏ꯫ ꯑꯦꯚꯔꯦꯖ ꯁ꯭ꯄꯤꯟ 37 ꯗ: ꯃꯥꯏꯄꯥꯛꯄ 17, ꯄꯨꯝꯅꯃꯛ +171 ꯌꯨꯅꯤꯠ ꯃꯇꯨꯡꯗ, ꯃꯥꯏꯊꯤꯕ 20, −180, ꯅꯦꯠ −9꯫ ꯃꯅꯨꯡꯒꯤ ꯕꯦꯠꯕꯦꯠꯃꯅꯨꯡꯒꯤ ꯕꯦꯠꯒ꯭ꯔꯤꯗꯀꯤ ꯃꯁꯤꯡꯁꯤꯡꯒꯤ ꯃꯊꯛꯇ ꯅꯠꯔꯒ ꯃꯈꯣꯌꯒꯤ ꯃꯔꯛꯇ ꯊꯝꯕ ꯕꯦꯠ ꯀꯔꯤꯒꯨꯝꯕ: ꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞ, ꯁ꯭ꯞꯂꯤꯠ, ꯁ꯭ꯇ꯭ꯔꯤꯠ, ꯀꯣꯔꯅꯔ, ꯁꯤꯛꯁ ꯂꯥꯏꯟ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯒꯤꯗꯃꯛ ꯚꯦꯌꯔꯤꯌꯦꯟꯁꯃꯦꯊꯃꯦꯇꯤꯛꯁꯚꯦꯌꯔꯤꯌꯦꯟꯁꯃꯍꯩꯁꯤꯡ ꯐꯪꯒꯗꯕ ꯃꯃꯂꯒꯤ ꯑꯀꯣꯌꯕꯗ ꯀꯌꯥ ꯁꯟꯗꯣꯛꯅ ꯂꯩꯕꯒꯦ ꯍꯥꯌꯕꯒꯤ ꯆꯥꯡ꯫ ꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞꯇ ꯋꯥꯡꯏ, ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠꯁꯤꯡꯗ ꯅꯦꯝꯏ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯅꯦꯝꯃꯤ; ꯃꯇꯝ ꯃꯇꯃꯗ 0-2-3 ꯒꯤ ꯕꯣꯅꯁ ꯂꯥꯀꯄꯥ ꯂꯦꯡꯗꯕ ꯄꯨꯡꯅꯕ ꯊꯕꯛ ꯑꯃꯒꯨꯝ ꯐꯥꯑꯣꯏ꯫
ꯖꯨ ꯖꯦꯔꯣ
ꯃꯁꯤꯒꯤ ꯑꯄꯤꯛꯄ ꯃꯔꯨꯞ: ꯖꯤꯔꯣꯗ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯅꯛꯄ ꯄꯣꯀꯦꯠ ꯇꯔꯦꯠ (12 35 3 26 0 32 15) ꯗ ꯆꯤꯞ ꯃꯔꯤ, ꯁ꯭ꯞꯂꯤꯠ 0-3, 12-15, 32-35 ꯑꯃꯁꯨꯡ 26 ꯗ ꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞꯕꯦꯠꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞꯃꯁꯤꯡ ꯑꯃꯈꯛꯇ, 35:1 ꯄꯦꯑꯥꯎꯠ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯥ꯫ 26 ꯗ ꯃꯥꯏꯄꯥꯛꯂꯕꯗ ꯅꯦꯠ +32; ꯁ꯭ꯞꯂꯤꯠ ꯃꯥꯏꯄꯥꯛꯂꯕꯗ ꯅꯦꯠ +14꯫ ꯖꯔꯃꯟ ꯑꯃꯁꯨꯡ ꯑꯣꯁ꯭ꯇ꯭ꯔꯤꯌꯥꯒꯤ ꯀꯦꯁꯤꯅꯣꯁꯤꯡꯗ “ꯖꯦꯔꯣ ꯁ꯭ꯄꯤꯜ” ꯍꯥꯌꯅ ꯌꯥꯝꯅ ꯁꯤꯖꯤꯟꯅꯩ꯫
ꯑꯣꯖꯟ ꯀꯔꯤꯒꯤ ꯃꯥꯟꯅꯗꯕꯒꯦ
ꯆꯤꯞꯁꯤꯡꯅ ꯆꯛꯔ ꯅꯠꯇꯅ ꯂꯦꯑꯥꯎꯠꯈꯨꯠꯂꯥꯏꯂꯦꯑꯥꯎꯠꯇꯦꯕꯜꯗ ꯏꯔꯕ ꯕꯦꯠ ꯊꯝꯕꯒꯤ ꯒ꯭ꯔꯤꯗ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯇꯦꯕꯜ, ꯐꯦꯜꯠ, ꯀ꯭ꯂꯣꯊ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯃꯇꯨꯡ ꯏꯟꯅꯩ꯫ ꯆꯛꯔꯗ ꯖꯤꯔꯣꯒꯤ ꯌꯨꯝꯂꯣꯟꯅꯕꯕꯦꯠꯌꯨꯝꯂꯣꯟꯅꯕ ꯕꯦꯠꯆꯛꯔꯗ ꯃꯁꯤꯡ ꯑꯃꯥ ꯑꯃꯁꯨꯡ ꯃꯗꯨꯒꯤ ꯅꯥꯀꯜ ꯑꯅꯤꯃꯛꯇ ꯂꯩꯕ ꯄꯣꯀꯦꯠ ꯑꯅꯤ ꯑꯅꯤ, ꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞ ꯆꯤꯞ ꯃꯉꯥ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯇꯔꯥꯅꯤꯇꯔꯦꯠ ꯑꯁꯤ ꯒ꯭ꯔꯤꯗꯇ ꯁ꯭ꯇ꯭ꯔꯤꯠ ꯑꯃꯗ ꯂꯩꯕ ꯑꯍꯨꯝ (0, 2, 3), ꯀꯣꯔꯅꯔ ꯑꯃꯥ (25, 26, 28, 29) ꯑꯃꯁꯨꯡ ꯁ꯭ꯞꯂꯤꯠꯀꯤ ꯄꯥꯔ ꯃꯉꯥ ꯑꯣꯏꯅ ꯊꯣꯀꯈꯤ꯫ ꯁ꯭ꯇ꯭ꯔꯤꯠ ꯑꯃꯁꯨꯡ ꯀꯣꯔꯅꯔꯗ ꯊꯝꯕ ꯆꯤꯞ ꯑꯅꯤ ꯑꯅꯤ ꯑꯁꯤ ꯃꯇꯧ ꯑꯣꯏꯕ ꯕꯦꯠꯁꯤꯡꯅ ꯃꯁꯤꯡ ꯇꯔꯦꯠ ꯑꯗꯨ ꯀꯨꯞꯅꯕ ꯃꯊꯧ ꯇꯥꯕꯅꯤ꯫ ꯕꯦꯠ ꯑꯁꯤ ꯗꯤꯂꯔꯁꯤꯡꯅ ꯊꯨꯅꯕꯒꯤꯗꯃꯛ ꯁꯦꯃꯈꯤꯕꯅꯤ, ꯃꯦꯊꯃꯦꯇꯤꯁꯤꯌꯥꯅꯁꯤꯡꯅ ꯐꯖꯕꯒꯤꯗꯃꯛ ꯅꯠꯇꯦ꯫
ꯋꯥꯍꯪꯁꯤꯡ
ꯆꯤꯞ ꯈꯨꯗꯤꯡꯗ ꯑꯦꯖ ꯃꯥꯟꯅꯩ꯫ ꯚꯣꯌꯥꯖꯦꯅꯅ ꯍꯦꯟꯅ ꯀꯨꯞꯏ ꯑꯃꯁꯨꯡ ꯃꯃꯜ ꯍꯦꯟꯅ ꯌꯥꯝꯃꯤ; ꯇꯤꯌꯦꯌꯔꯅ ꯃꯥꯏꯄꯥꯛꯄ ꯈꯨꯗꯤꯡꯗ ꯑꯗꯨꯃꯛ ꯄꯤ꯫
ꯃꯁꯤꯅ ꯁ꯭ꯇ꯭ꯔꯤꯠ ꯃꯥꯏꯄꯥꯛꯄꯒꯨꯝꯅ +15 ꯌꯨꯅꯤꯠ ꯄꯤ, ꯕꯦꯠ ꯑꯁꯤꯒꯤ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯐꯕ ꯃꯍꯩ꯫
ꯌꯥꯔꯣꯏ꯫ ꯃꯇꯨꯡ ꯏꯟꯅꯕ ꯈꯦꯠꯅꯩ ꯑꯃꯁꯨꯡ ꯁꯦꯛꯇꯔꯆꯛꯔꯁꯦꯛꯇꯔꯆꯛꯔꯗ ꯃꯔꯛ ꯂꯩꯇꯅ ꯃꯈꯥ ꯆꯠꯅꯅ ꯂꯩꯕ ꯄꯣꯀꯦꯠꯁꯤꯡꯒꯤ ꯁꯔꯨꯛ, ꯂꯦꯑꯥꯎꯠꯇ ꯂꯩꯕ ꯀꯥꯡꯂꯨꯞ ꯑꯃꯗꯒꯤ ꯇꯣꯉꯥꯟꯅ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯗꯨ ꯂꯩꯇꯦ꯫
ꯅꯣꯛꯅꯕꯒꯤ ꯀꯃꯤꯛ

ꯆꯤꯞ ꯃꯥꯄꯟ, ꯄꯣꯀꯦꯠ ꯇꯔꯥꯅꯤꯇꯔꯦꯠ, ꯄꯦꯑꯥꯎꯠ ꯑꯍꯨꯝ꯫
ꯍꯧꯔꯛꯐꯃꯁꯤꯡ
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Wykes, A. The Complete Illustrated Guide to Gambling.