ꯔꯨꯂꯦꯠꯀꯤ ꯍꯥꯎꯁ ꯑꯦꯖ
ꯊꯝꯂꯕ ꯁꯦꯜ ꯈꯨꯗꯤꯡꯗꯒꯤ ꯀꯦꯁꯤꯅꯣꯅ ꯑꯦꯚꯔꯦꯖꯗ ꯊꯃꯖꯤꯜꯂꯤꯕ ꯁꯔꯨꯛ꯫

ꯌꯨꯔꯣꯄꯤꯌꯟ ꯔꯨꯂꯦꯠ: ꯃꯍꯧꯁꯥꯒꯤ ꯕꯦꯠ ꯈꯨꯗꯤꯡꯃꯛꯇ 2.70%, ꯃꯔꯃꯗꯤ ꯄꯦꯑꯥꯎꯠꯁꯤꯡ ꯄꯣꯀꯦꯠ 36 ꯂꯩꯕ ꯃꯑꯣꯡꯗ ꯊꯤꯖꯤꯜꯂꯤ, ꯑꯗꯨꯕꯨ ꯄꯣꯀꯦꯠ 37 ꯂꯩ꯫
ꯊꯤꯖꯤꯟꯕꯒꯤ ꯃꯑꯣꯡ
ꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞꯕꯦꯠꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞꯃꯁꯤꯡ ꯑꯃꯈꯛꯇ, 35:1 ꯄꯦꯑꯥꯎꯠ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯒꯤ ꯆꯨꯝꯃꯤꯟꯅꯕ ꯑꯣꯗꯁ 36 ꯗꯒꯤ 1 ꯑꯣꯏꯒꯗꯕꯅꯤ, ꯃꯔꯃꯗꯤ ꯃꯥꯏꯄꯥꯛꯄꯒꯤ ꯂꯝꯕꯤ ꯑꯃꯥ ꯈꯨꯗꯤꯡꯗ ꯃꯥꯏꯊꯤꯕꯒꯤ ꯂꯝꯕꯤ 36 ꯂꯩ꯫ ꯀꯦꯁꯤꯅꯣꯅ 35 ꯗꯒꯤ 1 ꯄꯤ꯫ ꯋꯥꯠꯂꯤꯕ ꯌꯨꯅꯤꯠꯁꯦꯜꯌꯨꯅꯤꯠꯁꯤꯁ꯭ꯇꯦꯝ ꯅꯠꯔꯒ ꯁꯥꯟꯅꯔꯤꯕ ꯑꯃꯅ ꯁꯤꯖꯤꯟꯅꯕ ꯃꯔꯨꯑꯣꯏꯕ ꯊꯝꯂꯕ ꯁꯦꯜ꯫ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯅꯁꯤꯡ ꯌꯨꯅꯤꯠꯇ ꯁꯟꯗꯣꯛꯂꯤ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯃꯈꯣꯌ ꯀꯔꯤꯒꯨꯝꯕ ꯇꯦꯕꯜꯗ ꯆꯠꯂꯤ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯗꯨ ꯈꯨꯗꯣꯡꯆꯥꯕ ꯃꯥꯟꯅꯕ ꯃꯍꯩ 37 ꯗ ꯁꯟꯗꯣꯛꯂꯕꯗ ꯁ꯭ꯄꯤꯟ ꯈꯨꯗꯤꯡꯗ ꯊꯝꯂꯕ ꯁꯦꯜꯒꯤ 1/37 = 2.70% ꯑꯣꯏ꯫ ꯋꯥꯠꯄ ꯑꯁꯤꯃꯛ ꯄꯦꯑꯥꯎꯠꯁꯦꯜꯄꯦꯑꯥꯎꯠꯃꯥꯏꯄꯥꯛꯄ ꯕꯦꯠ ꯑꯃꯅ ꯍꯜꯂꯛꯄ ꯁꯦꯜ, ꯍꯜꯂꯀꯄ ꯊꯝꯂꯕ ꯁꯦꯜꯒꯤ ꯃꯊꯛꯇ “X ꯗꯒꯤ 1” ꯍꯥꯌꯅ ꯍꯥꯌꯏ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯈꯨꯗꯤꯡꯃꯛꯇ ꯎꯏ, ꯃꯔꯃꯗꯤ ꯄꯦꯑꯥꯎꯠ ꯈꯨꯗꯤꯡꯃꯛꯅ 36/n − 1 ꯅꯤꯌꯝ ꯁꯤꯖꯤꯟꯅꯩ: ꯁ꯭ꯞꯂꯤꯠꯕꯦꯠꯁ꯭ꯞꯂꯤꯠꯌꯨꯝꯂꯣꯟꯅꯕ ꯃꯁꯤꯡ ꯑꯅꯤ, 17:1 ꯄꯦꯑꯥꯎꯠ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯅ 17.5 ꯒꯤ ꯃꯍꯨꯠꯇ 17, ꯗꯖꯟꯕꯦꯠꯗꯖꯟ1–12, 13–24 ꯅꯠꯔꯒ 25–36, 2:1 ꯄꯦꯑꯥꯎꯠ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯅ 2.083 ꯒꯤ ꯃꯍꯨꯠꯇ 2, ꯑꯉꯥꯡꯕꯅꯕꯦꯠꯑꯉꯥꯡꯕꯑꯉꯥꯡꯕ ꯃꯁꯤꯡ 18 ꯗ ꯊꯝꯕ ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠ꯫ ꯐ꯭ꯔꯦꯟꯆ: ꯔꯨꯖ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → 1.056 ꯒꯤ ꯃꯍꯨꯠꯇ 1 ꯄꯤ꯫ ꯋꯥꯠꯄ ꯑꯗꯨ ꯃꯇꯝ ꯄꯨꯝꯅꯃꯛꯇ ꯃꯥꯏꯄꯥꯛꯄ ꯈꯨꯗꯤꯡꯗ ꯌꯨꯅꯤꯠ 1/n ꯅꯤ, ꯑꯃꯁꯨꯡ ꯁ꯭ꯄꯤꯟ ꯈꯨꯗꯤꯡꯗ ꯃꯥꯏꯄꯥꯛꯄ n/37 ꯂꯩ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯃꯇꯝ ꯄꯨꯝꯅꯃꯛꯇ ꯁ꯭ꯄꯤꯟ ꯈꯨꯗꯤꯡꯗ 1/37 ꯅꯤ꯫
ꯑꯦꯖ ꯑꯃꯁꯨꯡ ꯍꯣꯜꯗ
ꯑꯦꯖ ꯑꯁꯤ ꯊꯝꯂꯕ ꯌꯨꯅꯤꯠ ꯈꯨꯗꯤꯡꯒꯤ ꯃꯥꯡꯒꯗꯕ ꯁꯦꯜꯃꯦꯊꯃꯦꯇꯤꯛꯁꯃꯥꯡꯒꯗꯕ ꯁꯦꯜꯐꯪꯒꯗꯕ ꯃꯃꯂꯕꯨ ꯕꯦꯠ ꯊꯝꯂꯕ ꯁꯦꯜ ꯄꯨꯝꯅꯃꯛꯅ ꯃꯅꯥꯡꯕ; ꯁꯦꯁꯟ ꯅꯠꯔꯒ ꯃꯇꯝ ꯑꯃꯒꯤ ꯃꯅꯨꯡꯗ ꯃꯥꯡꯕ ꯑꯦꯚꯔꯦꯖ ꯁꯦꯜ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯅꯤ: ꯁ꯭ꯄꯤꯟ ꯈꯨꯗꯤꯡꯗ 2.70%꯫ ꯍꯣꯜꯗꯁꯦꯜꯍꯣꯜꯗꯁꯥꯟꯅꯔꯤꯕꯁꯤꯡꯅ ꯇꯦꯕꯜꯗ ꯄꯨꯔꯛꯄ ꯁꯦꯜꯗꯒꯤ ꯀꯦꯁꯤꯅꯣꯅ ꯑꯁꯦꯡꯕꯗ ꯊꯃꯖꯤꯜꯂꯤꯕ ꯁꯔꯨꯛ꯫ ꯃꯥꯏꯄꯥꯛꯇꯨꯅ ꯐꯪꯂꯕ ꯁꯦꯜ ꯑꯗꯨ ꯑꯃꯨꯛ ꯍꯟꯅꯥ ꯕꯦꯠ ꯊꯝꯕꯅ ꯍꯥꯎꯁ ꯑꯦꯖꯗꯒꯤ ꯍꯦꯟꯅꯥ ꯋꯥꯡꯏ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯁꯤ ꯅꯍꯥꯛꯅ ꯇꯦꯕꯜꯗ ꯄꯨꯔꯛꯄ ꯁꯦꯜꯗꯒꯤ ꯀꯦꯁꯤꯅꯣꯅ ꯇꯁꯦꯡꯅ ꯊꯃꯖꯤꯜꯂꯤꯕꯅꯤ, ꯑꯃꯁꯨꯡ ꯃꯁꯤ ꯌꯥꯝꯅꯥ ꯋꯥꯡꯏ ꯃꯔꯃꯗꯤ ꯅꯍꯥꯛꯅ ꯃꯥꯏꯄꯥꯛꯇꯨꯅ ꯐꯪꯂꯕ ꯁꯦꯜ ꯑꯃꯨꯛ ꯍꯟꯅꯥ ꯊꯝꯃꯤ꯫ $100 ꯒꯤ ꯕꯥꯏ-ꯏꯟꯇꯦꯕꯜꯕꯥꯏ-ꯏꯟꯇꯦꯕꯜꯗ ꯁꯦꯜ ꯄꯤꯗꯨꯅ ꯆꯤꯞꯁꯤꯡ ꯂꯧꯕ꯫ ꯁ꯭ꯄꯤꯟꯁꯤꯡꯒꯤ ꯃꯔꯛꯇ ꯇꯧꯏ, ꯁꯦꯜ ꯑꯗꯨ ꯗꯤꯂꯔꯒꯤ ꯈꯨꯠꯇ ꯄꯤꯗꯅ ꯂꯦꯑꯥꯎꯠꯇ ꯊꯝꯃꯤ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯥ ꯁ꯭ꯄꯤꯟ 200 ꯗ ꯑꯃꯨꯛ ꯈꯨꯗꯤꯡꯗ $10 ꯊꯝꯂꯕꯗ $2,000 ꯇꯔꯅꯑꯣꯚꯔ ꯑꯣꯏꯔꯦ ꯑꯃꯁꯨꯡ ꯑꯦꯖꯗ $54 ꯃꯔꯛ ꯄꯤꯔꯦ; ꯕꯥꯏ-ꯏꯟ ꯑꯗꯨꯒꯤ ꯍꯣꯜꯗ 54% ꯅꯤ꯫ ꯀꯦꯁꯤꯅꯣꯁꯤꯡꯅ ꯍꯣꯜꯗ ꯄꯥꯎꯗꯣꯀꯏ; ꯁꯥꯟꯅꯔꯤꯕꯁꯤꯡꯅ ꯑꯦꯖꯗ ꯈꯟꯊꯒꯗꯕꯅꯤ꯫
ꯀꯔꯤꯒꯤ ꯕꯦꯠ ꯈꯨꯗꯤꯡꯃꯛꯀꯤ ꯑꯦꯖ ꯃꯥꯟꯅꯕꯒꯦ
ꯃꯁꯤ ꯈꯅꯖꯗꯨꯅ ꯁꯦꯃꯈꯤꯕꯅꯤ, ꯃꯇꯝ ꯆꯥꯟꯗꯕ ꯅꯠꯇꯦ꯫ 36/n − 1 ꯅꯤꯌꯝ ꯑꯁꯤ 18 ꯁꯨꯕ ꯆꯍꯤꯆꯥꯗ ꯂꯦꯞꯈꯤ ꯑꯃꯁꯨꯡ ꯗꯕꯜ ꯖꯤꯔꯣꯃꯈꯜꯗꯕꯜ ꯖꯤꯔꯣꯑꯃꯦꯔꯤꯀꯟ ꯆꯛꯔꯒꯤ 00 ꯄꯣꯀꯦꯠ꯫ ꯃꯁꯤ ꯂꯩꯕꯅ ꯍꯥꯎꯁ ꯑꯦꯖ 2.70% ꯗꯒꯤ 5.26% ꯐꯥꯑꯣꯕ ꯍꯦꯅꯒꯠꯍꯜꯂꯤ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯗꯨ ꯃꯇꯨꯡꯗ ꯄꯦꯑꯥꯎꯠꯁꯤꯡ ꯍꯣꯡꯗꯅ ꯂꯧꯊꯣꯀꯈꯤ꯫ ꯄꯣꯀꯦꯠꯈꯨꯠꯂꯥꯏꯄꯣꯀꯦꯠꯔꯣꯇꯔꯗ ꯂꯩꯕ ꯃꯁꯤꯡ ꯏꯔꯕ ꯀꯣꯠ 37 ꯒꯤ ꯃꯅꯨꯡꯗ ꯑꯃꯥ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯁ꯭ꯂꯣꯠ, ꯀꯞ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → 37 ꯒꯤꯗꯃꯛ ꯄꯦꯑꯥꯎꯠꯁꯤꯡ ꯆꯨꯝꯃꯤꯟꯅꯔꯝꯂꯕꯗꯤ ꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞꯅ 36 ꯗꯒꯤ 1 ꯄꯤꯒꯗꯕꯅꯤ ꯑꯃꯁꯨꯡ ꯀꯦꯁꯤꯅꯣꯒꯤ ꯀꯥꯟꯅꯕ ꯑꯃꯠꯇ ꯂꯩꯔꯃꯂꯣꯏ꯫ ꯃꯥꯟꯅꯕ ꯑꯦꯖ ꯑꯁꯤ ꯁꯤꯖꯤꯟꯅꯕꯗ ꯂꯥꯏꯏ: ꯔꯨꯂꯦꯠꯀꯤ ꯕꯦꯠ ꯑꯃꯠꯇ ꯑꯇꯣꯞꯄ ꯑꯃꯒꯤ ꯃꯥꯌꯣꯛꯇ “ꯃꯤꯅꯝꯕ ꯕꯦꯠ” ꯅꯠꯇꯦ, 7.89% ꯂꯩꯕ ꯑꯃꯦꯔꯤꯀꯟ ꯃꯁꯤꯡ ꯃꯉꯥꯒꯤ ꯕꯦꯠ ꯑꯃꯈꯛꯇꯅ ꯈꯦꯠꯅꯩ꯫
ꯔꯨꯂꯦꯠꯀꯤ ꯑꯦꯖ ꯑꯁꯤ ꯀꯔꯤ ꯅꯠꯇꯕꯒꯦ
ꯃꯁꯤ ꯁꯦꯁꯟ ꯑꯃꯥ ꯃꯥꯏꯊꯤꯕꯒꯤ ꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕꯃꯦꯊꯃꯦꯇꯤꯛꯁꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕꯃꯍꯩ ꯑꯃꯥ ꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕ, 0 ꯗꯒꯤ 1 ꯐꯥꯑꯣꯕ ꯅꯠꯔꯒ 0% ꯗꯒꯤ 100% ꯐꯥꯑꯣꯕ꯫ ꯃꯁꯤꯡ ꯑꯃꯥ: 1/37 = 2.70%꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯅꯠꯇꯦ; ꯃꯇꯝ ꯀꯨꯞꯄ ꯁꯦꯁꯟ ꯀꯌꯥꯒꯤ ꯃꯍꯩ ꯚꯦꯌꯔꯤꯌꯦꯟꯁꯅꯃꯦꯊꯃꯦꯇꯤꯛꯁꯚꯦꯌꯔꯤꯌꯦꯟꯁꯃꯍꯩꯁꯤꯡ ꯐꯪꯒꯗꯕ ꯃꯃꯂꯒꯤ ꯑꯀꯣꯌꯕꯗ ꯀꯌꯥ ꯁꯟꯗꯣꯛꯅ ꯂꯩꯕꯒꯦ ꯍꯥꯌꯕꯒꯤ ꯆꯥꯡ꯫ ꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞꯇ ꯋꯥꯡꯏ, ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠꯁꯤꯡꯗ ꯅꯦꯝꯏ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯂꯦꯞꯄꯤ, ꯑꯃꯁꯨꯡ ꯁ꯭ꯄꯤꯟ 100 ꯒꯤ ꯆꯞ ꯃꯥꯟꯅꯕ ꯁꯦꯁꯟꯁꯤꯡꯒꯤ 42% ꯃꯔꯛ ꯀꯥꯟꯅꯕꯗ ꯂꯣꯏꯁꯤꯜꯂꯤ꯫ ꯃꯁꯤ ꯁꯦꯁꯟ ꯈꯨꯗꯤꯡꯒꯤ ꯐꯤ ꯅꯠꯇꯦ; ꯃꯁꯤ ꯇꯔꯅꯑꯣꯚꯔꯁꯦꯜꯇꯔꯅꯑꯣꯚꯔꯁꯦꯁꯟ ꯅꯠꯔꯒ ꯃꯇꯝ ꯑꯃꯒꯤ ꯃꯅꯨꯡꯗ ꯕꯦꯠ ꯊꯝꯂꯕ ꯁꯦꯜ ꯄꯨꯝꯅꯃꯛ, ꯑꯃꯨꯛ ꯍꯟꯅꯥ ꯊꯝꯂꯕ ꯃꯥꯏꯄꯥꯛꯇꯨꯅ ꯐꯪꯂꯕ ꯁꯦꯜꯁꯨ ꯌꯥꯎꯅ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯍꯦꯟꯗꯜ, ꯑꯦꯛꯁꯟ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯒꯥ ꯂꯣꯌꯅꯅ ꯍꯦꯅꯒꯠꯂꯀꯏ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯍꯦꯟꯅꯥ ꯊꯝꯕ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯟꯊꯧꯔꯥꯡꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯟꯃꯃꯥꯡꯒꯤ ꯃꯍꯩꯁꯤꯡꯒꯤ ꯃꯈꯥꯗ ꯊꯝꯂꯕ ꯁꯦꯜ ꯍꯣꯡꯍꯟꯕ ꯅꯤꯌꯝ ꯀꯔꯤꯒꯨꯝꯕ꯫ ꯅꯦꯒꯦꯇꯤꯕ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯅꯁꯤꯡꯅ ꯃꯥꯏꯊꯤꯔꯕꯥ ꯃꯇꯨꯡꯗ ꯍꯦꯅꯒꯠꯍꯜꯂꯤ, ꯄꯣꯖꯤꯇꯤꯕꯁꯤꯡꯅ ꯃꯥꯏꯄꯥꯛꯂꯕꯥ ꯃꯇꯨꯡꯗ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯅ ꯍꯦꯟꯅꯥ ꯄꯤꯔꯤ꯫ ꯃꯁꯤ ꯕꯦꯠ ꯊꯝꯕꯒꯤ ꯃꯑꯣꯡ ꯑꯃꯅ ꯍꯟꯊꯍꯟꯕ ꯉꯝꯕ ꯅꯠꯇꯦ, ꯃꯔꯃꯗꯤ ꯃꯇꯝ ꯑꯃꯗ ꯊꯝꯕ ꯕꯦꯠꯁꯤꯡꯒꯤ ꯑꯦꯖꯁꯤꯡ ꯃꯈꯣꯌꯒꯤ ꯊꯝꯂꯕ ꯁꯦꯜꯒꯤ ꯆꯥꯡ ꯃꯇꯨꯡ ꯏꯟꯅꯥ ꯄꯨꯟꯁꯤꯟꯅꯩ꯫
ꯁꯦꯜꯗ
ꯊꯝꯂꯕ $1,000 ꯈꯨꯗꯤꯡꯗ ꯃꯥꯡꯒꯗꯕ ꯁꯦꯜ ꯌꯨꯔꯣꯄꯤꯌꯟ ꯔꯨꯂꯦꯠꯃꯈꯜꯌꯨꯔꯣꯄꯤꯌꯟ ꯔꯨꯂꯦꯠꯁꯤꯡꯒꯜ ꯖꯤꯔꯣ ꯆꯛꯔ, ꯄꯣꯀꯦꯠ 37, ꯍꯥꯎꯁ ꯑꯦꯖ 2.70%꯫ ꯋꯦꯕꯁꯥꯏꯠ ꯑꯁꯤꯒꯤ ꯃꯔꯨꯑꯣꯏꯕ ꯃꯑꯣꯡꯅꯤ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯇ $27.03, ꯑꯃꯦꯔꯤꯀꯟꯗ $52.63, ꯂꯥ ꯄꯥꯔꯇꯥꯖꯅꯤꯌꯝꯂꯥ ꯄꯥꯔꯇꯥꯖꯐ꯭ꯔꯦꯟꯆ ꯅꯤꯌꯝ: ꯖꯤꯔꯣ ꯊꯣꯛꯂꯕꯗꯤ ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠꯀꯤ ꯊꯝꯂꯕ ꯁꯦꯜꯒꯤ ꯁꯔꯨꯛ ꯑꯍꯦꯟꯕ ꯍꯜꯂꯀꯏ꯫ ꯕꯦꯠ ꯑꯗꯨꯁꯤꯡꯒꯤ ꯍꯥꯎꯁ ꯑꯦꯖ 1.35% ꯐꯥꯑꯣꯕ ꯁꯔꯨꯛ ꯑꯅꯤꯗ ꯊꯥꯖꯤꯜꯂꯤ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯂꯩꯕ ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠꯁꯤꯡꯕꯦꯠꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠꯑꯉꯥꯡꯕ/ꯑꯃꯨꯕ, ꯕꯤꯖꯣꯔ/ꯖꯣꯔ, ꯑꯋꯥꯡꯕ/ꯑꯅꯦꯝꯕ꯫ ꯃꯁꯤꯡ 18, 1:1 ꯄꯦꯑꯥꯎꯠ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯗ $13.51 ꯅꯤ꯫ ꯅꯨꯃꯤꯗꯥꯡ ꯑꯃꯗ $500, ꯍꯞꯇꯥ ꯑꯃꯗ ꯑꯃꯨꯛ ꯑꯅꯤ, ꯆꯍꯤ ꯑꯃꯒꯤ ꯊꯝꯂꯤꯕ ꯃꯍꯧꯁꯥꯒꯤ ꯁꯥꯟꯅꯔꯤꯕ ꯑꯃꯅ $52,000 ꯇꯔꯅꯑꯣꯚꯔ ꯇꯧꯔꯦ ꯑꯃꯁꯨꯡ ꯌꯨꯔꯣꯄꯤꯌꯟ ꯆꯛꯔ ꯑꯃꯗ ꯑꯦꯖꯗ $1,400 ꯃꯔꯛ ꯄꯤꯔꯦ꯫ ꯃꯁꯤꯡ ꯑꯁꯤ ꯁ꯭ꯄꯤꯟ ꯈꯨꯗꯤꯡꯗ ꯑꯄꯤꯀꯄꯅꯤ ꯑꯃꯁꯨꯡ ꯆꯍꯤ ꯈꯨꯗꯤꯡꯗ ꯂꯦꯞꯄ ꯂꯩꯇꯅ ꯂꯥꯛꯏ꯫
ꯁ꯭ꯄꯤꯟ ꯈꯨꯗꯤꯡꯗ ꯅꯠꯔꯒ ꯂꯣꯏꯁꯤꯜꯂꯕ ꯕꯦꯠ ꯈꯨꯗꯤꯡꯗ
ꯔꯨꯂꯦꯠꯀꯤ ꯕꯦꯠ ꯌꯥꯝꯅꯥ ꯀꯌꯥ ꯁ꯭ꯄꯤꯟ ꯑꯃꯈꯛꯇꯅ ꯂꯣꯏꯁꯤꯜꯂꯤ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯃꯗꯨꯒꯤ ꯁ꯭ꯄꯤꯟ ꯈꯨꯗꯤꯡꯒꯤ ꯑꯦꯖ ꯑꯃꯁꯨꯡ ꯕꯦꯠ ꯈꯨꯗꯤꯡꯒꯤ ꯑꯦꯖ ꯃꯁꯤꯡ ꯑꯃꯈꯛꯇꯅꯤ꯫ ꯃꯥꯏꯄꯥꯛꯇꯕ ꯃꯥꯏꯊꯤꯗꯕ ꯑꯣꯏꯗꯨꯅ ꯂꯦꯑꯥꯎꯠꯈꯨꯠꯂꯥꯏꯂꯦꯑꯥꯎꯠꯇꯦꯕꯜꯗ ꯏꯔꯕ ꯕꯦꯠ ꯊꯝꯕꯒꯤ ꯒ꯭ꯔꯤꯗ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯇꯦꯕꯜ, ꯐꯦꯜꯠ, ꯀ꯭ꯂꯣꯊ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯇ ꯂꯩꯔꯤꯕ ꯌꯥꯕ ꯕꯦꯠ ꯑꯃꯗ ꯑꯦꯖ ꯑꯅꯤ ꯂꯩ꯫ ꯔꯤꯚꯔꯕꯣꯠ ꯔꯨꯂꯦꯠꯀꯤ ꯇꯤꯜ ꯕꯦꯠꯅ ꯑꯃꯦꯔꯤꯀꯟ ꯆꯛꯔꯒꯤ ꯃꯁꯤꯡ 3 ꯀꯨꯞꯏ, ꯃꯈꯣꯌꯒꯤ ꯃꯅꯨꯡꯗꯒꯤ ꯑꯃꯥ ꯑꯉꯧꯕ ꯃꯁꯤꯡ 8 ꯒꯤ ꯃꯅꯨꯡꯗꯒꯤ ꯑꯃꯥ ꯊꯣꯛꯠꯔꯤꯉꯩꯗ ꯊꯣꯀꯄꯥ ꯇꯥꯔꯕꯗ 2 ꯗꯒꯤ 1 ꯃꯥꯏꯄꯥꯛꯏ, ꯑꯃꯁꯨꯡ ꯑꯇꯣꯞꯄ ꯄꯨꯝꯅꯃꯛꯇ ꯃꯥꯏꯄꯥꯛꯇꯕ ꯃꯥꯏꯊꯤꯗꯕ ꯑꯣꯏ꯫ ꯂꯣꯏꯁꯤꯜꯂꯕ ꯕꯦꯠ ꯈꯨꯗꯤꯡꯗ ꯃꯁꯤꯅ ꯊꯝꯂꯕ ꯁꯦꯜꯒꯤ 2/11, 18.18%, ꯃꯥꯡꯍꯜꯂꯤ꯫ ꯁ꯭ꯄꯤꯟ ꯈꯨꯗꯤꯡꯗ 2/38, 5.26%, ꯃꯥꯡꯍꯜꯂꯤ, ꯃꯔꯃꯗꯤ ꯑꯦꯚꯔꯦꯖꯗ ꯕꯦꯠ ꯑꯃꯥ ꯁ꯭ꯄꯤꯟ 38/11, 3.5 ꯃꯔꯛ, ꯂꯩꯔꯤ꯫ ꯃꯁꯤꯡ ꯑꯅꯤꯃꯛ ꯆꯨꯝꯃꯤ꯫ ꯁ꯭ꯄꯤꯟ ꯈꯨꯗꯤꯡꯒꯤ ꯃꯁꯤꯡꯅ ꯕꯦꯠ ꯑꯗꯨ ꯇꯦꯕꯜꯒꯤ ꯑꯇꯣꯞꯄꯁꯤꯡꯒꯥ ꯆꯥꯡꯗꯝꯅꯩ ꯑꯃꯁꯨꯡ ꯄꯨꯡ ꯑꯃꯒꯤ ꯃꯃꯜ ꯂꯦꯞꯄꯤ; ꯂꯣꯏꯁꯤꯜꯂꯕ ꯕꯦꯠ ꯈꯨꯗꯤꯡꯒꯤ ꯃꯁꯤꯡꯅ ꯕꯦꯠ ꯑꯗꯨ ꯑꯔꯣꯏꯕꯗ ꯂꯣꯏꯁꯤꯜꯂꯀꯄꯥ ꯃꯇꯃꯗ ꯊꯝꯂꯕ ꯁꯦꯜ ꯈꯨꯗꯤꯡꯗꯒꯤ ꯀꯌꯥ ꯍꯜꯂꯀꯄꯒꯦ ꯍꯥꯌꯔꯤ꯫
ꯀꯦꯁꯤꯅꯣ ꯑꯃꯅ ꯃꯃꯜ ꯑꯔꯥꯅꯕ ꯂꯦꯞꯄꯥ ꯃꯇꯃꯗ
ꯂꯃꯥꯏ ꯑꯁꯤꯗ ꯂꯩꯕ ꯑꯦꯖ ꯈꯨꯗꯤꯡꯃꯛ ꯀꯦꯁꯤꯅꯣꯁꯤꯡꯅ ꯃꯍꯧꯁꯥꯅ ꯆꯨꯃꯅ ꯊꯤꯖꯤꯟꯕ ꯃꯁꯤꯡꯒꯤ ꯊꯤꯖꯤꯟꯕꯗꯒꯤ ꯂꯥꯀꯏ꯫ ꯃꯇꯝ ꯈꯔꯗ ꯃꯈꯣꯌꯅ ꯑꯔꯥꯅꯕ ꯇꯧꯏ꯫ 1994 ꯒꯤ ꯑꯣꯛꯇꯣꯕꯔꯗ ꯃꯤꯁꯤꯁꯤꯄꯤꯒꯤ ꯕꯤꯂꯣꯛꯁꯤꯗ ꯂꯩꯕ ꯒ꯭ꯔꯦꯟꯗ ꯀꯦꯁꯤꯅꯣꯅ ꯗꯥꯏꯁ ꯑꯍꯨꯃꯒꯤ ꯄꯨꯟꯁꯤꯟꯕ 4 ꯑꯣꯏꯕꯗ 80 ꯗꯒꯤ 1 ꯄꯤꯈꯤ, ꯑꯃꯁꯨꯡ 17 ꯗꯁꯨ ꯃꯗꯨꯃꯛ꯫ ꯗꯥꯏꯁ ꯑꯍꯨꯝ ꯂꯝꯕꯤ 216 ꯗ ꯇꯥꯏ ꯑꯃꯁꯨꯡ ꯃꯈꯣꯌꯒꯤ ꯃꯅꯨꯡꯗꯒꯤ 3 ꯈꯛꯇꯅ ꯄꯨꯟꯁꯤꯟꯕ 4 ꯑꯣꯏ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯕꯦꯠ ꯑꯗꯨꯅ ꯊꯝꯂꯕ ꯌꯨꯅꯤꯠ ꯈꯨꯗꯤꯡꯗ 81 × 3/216 = 1.125 ꯍꯜꯂꯀꯈꯤ: ꯁꯥꯟꯅꯔꯤꯕꯒꯤ ꯃꯥꯏꯀꯩꯗ 12.5% ꯑꯦꯖ꯫ ꯁꯥꯟꯅꯔꯤꯕꯁꯤꯡꯅ ꯈꯉꯂꯀꯈꯤ꯫ ꯀꯦꯁꯤꯅꯣꯅ ꯅꯨꯃꯤꯠ ꯑꯃꯗ $180,000 ꯃꯔꯛ ꯃꯥꯡꯈꯤ, ꯕꯦꯠ ꯑꯗꯨ ꯊꯤꯡꯈꯤ, ꯑꯃꯁꯨꯡ 60 ꯗꯒꯤ 1 ꯗ ꯑꯃꯨꯛ ꯍꯟꯅꯥ ꯍꯥꯡꯗꯣꯀꯈꯤ, ꯃꯁꯤꯅ 216 ꯗꯒꯤ 3 ꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕ ꯑꯗꯨꯃꯛ ꯀꯦꯁꯤꯅꯣꯒꯤꯗꯃꯛ 15.3% ꯑꯦꯖ ꯑꯣꯏꯍꯜꯂꯤ꯫ ꯍꯨꯅꯥꯆꯦꯛ (2025) ꯅ ꯕꯣꯂꯃꯟꯕꯨ ꯌꯥꯎꯗꯨꯅ ꯋꯥꯔꯤ ꯑꯁꯤ ꯍꯥꯌꯔꯤ꯫ ꯔꯨꯂꯦꯠꯀꯤ ꯃꯍꯧꯁꯥꯒꯤ ꯄꯦꯑꯥꯎꯠꯁꯤꯡ ꯃꯁꯤꯒꯨꯝꯅ ꯑꯔꯥꯅꯕ ꯇꯧꯅꯕ ꯌꯥꯝꯅꯥ ꯂꯥꯏꯕꯅꯤ; ꯃꯁꯤꯒꯤ ꯃꯍꯧꯁꯥꯒꯤ ꯅꯠꯇꯕ ꯁꯥꯏꯗ ꯕꯦꯠꯁꯤꯡꯕꯦꯠꯁꯥꯏꯗ ꯕꯦꯠꯃꯔꯨꯑꯣꯏꯕ ꯁꯥꯟꯅꯕꯗ ꯁꯝꯃꯤꯟꯅꯕ ꯊꯃꯒꯗꯕ ꯅꯠꯇꯕ ꯍꯦꯟꯅꯥ ꯊꯝꯕ ꯕꯦꯠ, ꯌꯥꯝꯅ ꯁ꯭ꯇ꯭ꯔꯤꯛ, ꯕꯣꯅꯁ ꯊꯧꯔꯝ ꯅꯠꯔꯒ ꯖꯦꯀꯄꯣꯠ ꯑꯃꯗ꯫ ꯌꯥꯝꯅ ꯃꯇꯃꯗ ꯃꯔꯨꯑꯣꯏꯕ ꯕꯦꯠꯁꯤꯡꯗꯒꯤ ꯃꯃꯜ ꯍꯦꯟꯅꯥ ꯆꯪꯏ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯗ ꯃꯁꯤꯡ ꯊꯤꯖꯤꯟꯕ ꯌꯦꯡꯁꯤꯟꯕ ꯌꯥꯏ꯫

ꯑꯇꯣꯞꯄ ꯇꯦꯕꯜ ꯒꯦꯃꯁꯤꯡꯒꯤ ꯁꯥꯏꯗ ꯕꯦꯠꯁꯤꯡ
ꯕꯣꯂꯃꯟ (2021) ꯅ ꯕ꯭ꯂꯦꯀꯖꯦꯛ, ꯕꯦꯀꯥꯔꯥ, ꯀ꯭ꯔꯦꯞꯁ ꯑꯃꯁꯨꯡ ꯔꯨꯂꯦꯠꯀꯤ ꯃꯔꯨꯑꯣꯏꯕ ꯕꯦꯠꯁꯤꯡ ꯇꯦꯕꯜ ꯑꯗꯨꯃꯛꯇ ꯂꯩꯕ ꯃꯍꯧꯁꯥꯒꯤ ꯁꯥꯏꯗ ꯕꯦꯠꯁꯤꯡꯒꯥ ꯂꯣꯌꯅꯅ ꯊꯝꯃꯤ꯫ ꯑꯍꯥꯅꯕ ꯒꯦꯝ ꯑꯍꯨꯃꯗ ꯁꯥꯏꯗ ꯕꯦꯠꯀꯤ ꯃꯃꯜ ꯃꯔꯨꯑꯣꯏꯕ ꯕꯦꯠꯇꯒꯤ ꯍꯦꯜꯂꯤ, ꯌꯥꯝꯅꯥ ꯀꯌꯥ ꯊꯥꯛ ꯍꯦꯜꯂꯤ꯫ ꯈꯦꯠꯅꯕ ꯑꯗꯨ ꯇꯦꯕꯜ ꯑꯁꯤꯒꯤ ꯑꯔꯣꯏꯕ ꯒꯦꯝ ꯑꯗꯨꯅꯤ: ꯑꯃꯦꯔꯤꯀꯟ ꯔꯨꯂꯦꯠꯃꯈꯜꯑꯃꯦꯔꯤꯀꯟ ꯔꯨꯂꯦꯠ0 ꯑꯃꯁꯨꯡ 00 ꯂꯩꯕ ꯆꯛꯔ, ꯄꯣꯀꯦꯠ 38, ꯍꯥꯎꯁ ꯑꯦꯖ 5.26%꯫ ꯃꯁꯤ ꯋꯦꯕꯁꯥꯏꯠ ꯑꯁꯤꯒꯤ ꯃꯔꯨꯑꯣꯏꯕ ꯃꯑꯣꯡ ꯅꯠꯇꯦ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯀꯤ ꯑꯦꯖ ꯃꯔꯨꯑꯣꯏꯕ ꯕꯦꯠꯁꯤꯡꯗ 5.26% ꯅꯤ, ꯃꯁꯤ Colors ꯅꯠꯔꯒ WINGO ꯒꯨꯝꯕ ꯁꯥꯏꯗ ꯕꯦꯠ ꯑꯃꯥ ꯍꯦꯟꯅꯥ ꯌꯥꯝꯅꯥ ꯂꯣꯏꯕ ꯑꯣꯏꯕ ꯌꯥꯕ ꯐꯥꯑꯣꯕ ꯋꯥꯡꯏ꯫
ꯐꯣꯔꯃꯨꯂꯥ
ꯋꯥꯍꯪꯁꯤꯡ
ꯅꯠꯇꯦ꯫ ꯃꯁꯤ ꯅꯍꯥꯛꯅ ꯊꯝꯂꯤꯕ ꯁꯦꯜꯒꯤ 2.70% ꯅꯤ꯫ ꯁꯦꯜ ꯑꯗꯨꯃꯛ ꯑꯃꯨꯛ ꯍꯟꯅꯥ ꯊꯝꯂꯕꯗ ꯃꯗꯨ ꯑꯃꯨꯛ ꯍꯟꯅꯥ ꯊꯝꯕꯅꯤ꯫
ꯍꯣꯡꯗꯦ꯫ ꯃꯁꯤ ꯆꯥꯡ ꯑꯃꯅꯤ꯫ ꯗꯣꯂꯥꯔꯗ ꯃꯥꯡꯒꯗꯕ ꯁꯦꯜ ꯑꯗꯨ ꯊꯝꯂꯕ ꯁꯦꯜꯒꯥ ꯂꯣꯌꯅꯅ ꯍꯦꯅꯒꯠꯂꯀꯏ꯫
ꯑꯦꯖꯅ ꯊꯤꯖꯤꯟꯂꯕꯗ ꯌꯨꯔꯣꯄꯤꯌꯟꯒꯤ ꯃꯍꯧꯁꯥꯒꯤ ꯕꯦꯠ ꯄꯨꯝꯅꯃꯛ ꯃꯥꯟꯅꯩ; ꯃꯈꯣꯌ ꯀꯌꯥ ꯌꯥꯝꯅ ꯃꯥꯏꯄꯥꯛꯂꯤꯕꯒꯦ ꯑꯃꯁꯨꯡ ꯀꯌꯥ ꯄꯤꯕꯒꯦ ꯍꯥꯌꯕꯗꯈꯛ ꯈꯦꯠꯅꯩ꯫ ꯂꯥ ꯄꯥꯔꯇꯥꯖ ꯂꯩꯔꯕꯗ ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠꯁꯤꯡꯒꯤ ꯑꯦꯖ ꯑꯇꯣꯞꯄꯁꯤꯡꯒꯤ ꯁꯔꯨꯛ ꯑꯍꯦꯟꯕꯅꯤ꯫
ꯃꯦꯊꯃꯦꯇꯤꯛꯁꯀꯥ ꯁꯥꯟꯅꯕ
ꯃꯁꯤꯁꯤꯡ ꯑꯍꯥꯅꯕꯗ ꯅꯍꯥꯛ ꯃꯁꯥꯃꯛꯅ ꯍꯣꯠꯅꯕꯤꯌꯨ꯫ ꯄꯥꯎꯈꯨꯝ ꯈꯨꯗꯤꯡꯃꯛ ꯊꯨꯡꯗꯨꯅ ꯊꯝꯂꯤ; ꯁꯦꯝ ꯁꯥꯔꯕ ꯃꯇꯃꯗ ꯍꯥꯡꯗꯣꯛꯄꯤꯌꯨ꯫
ꯌꯨꯔꯣꯄꯤꯌꯟ ꯆꯛꯔ ꯑꯃꯗ ꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞꯕꯦꯠꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞꯃꯁꯤꯡ ꯑꯃꯈꯛꯇ, 35:1 ꯄꯦꯑꯥꯎꯠ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯁꯨ ꯑꯉꯥꯡꯕꯗꯕꯦꯠꯑꯉꯥꯡꯕꯑꯉꯥꯡꯕ ꯃꯁꯤꯡ 18 ꯗ ꯊꯝꯕ ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠ꯫ ꯐ꯭ꯔꯦꯟꯆ: ꯔꯨꯖ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯊꯝꯕ ꯕꯦꯠ ꯑꯃꯁꯨ ꯑꯅꯤꯃꯛꯅ 2.70% ꯃꯃꯜ ꯂꯩ, ꯑꯃꯅ ꯃꯁꯤꯡ ꯑꯃꯈꯛ ꯀꯨꯞꯂꯕꯁꯨ ꯑꯇꯣꯞꯄ ꯑꯗꯨꯅ ꯃꯁꯤꯡ ꯇꯔꯥꯅꯤꯄꯥꯟ ꯀꯨꯞꯂꯤ꯫ ꯀꯔꯤꯒꯤꯅꯣ ꯕꯦꯠ ꯈꯨꯗꯤꯡꯃꯛꯀꯤ ꯍꯥꯎꯁ ꯑꯦꯖꯃꯦꯊꯃꯦꯇꯤꯛꯁꯍꯥꯎꯁ ꯑꯦꯖꯊꯝꯂꯕ ꯁꯦꯜ ꯈꯨꯗꯤꯡꯗꯒꯤ ꯀꯦꯁꯤꯅꯣꯅ ꯑꯦꯚꯔꯦꯖꯗ ꯊꯃꯖꯤꯜꯂꯤꯕ ꯁꯔꯨꯛ: ꯌꯨꯔꯣꯄꯤꯌꯟ ꯔꯨꯂꯦꯠꯇ 2.70%꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯠꯇꯥ ꯑꯣꯏꯕ?
ꯄꯥꯎꯈꯨꯝ ꯎꯠꯄ
ꯄꯥꯎꯈꯨꯝ ꯄꯦꯑꯥꯎꯠꯁꯦꯜꯄꯦꯑꯥꯎꯠꯃꯥꯏꯄꯥꯛꯄ ꯕꯦꯠ ꯑꯃꯅ ꯍꯜꯂꯛꯄ ꯁꯦꯜ, ꯍꯜꯂꯀꯄ ꯊꯝꯂꯕ ꯁꯦꯜꯒꯤ ꯃꯊꯛꯇ “X ꯗꯒꯤ 1” ꯍꯥꯌꯅ ꯍꯥꯌꯏ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯈꯨꯗꯤꯡꯃꯛ ꯖꯤꯔꯣꯆꯛꯔꯖꯤꯔꯣꯆꯞ ꯃꯥꯟꯅꯕ, ꯗꯖꯟ ꯅꯠꯔꯒ ꯀꯂꯝ ꯕꯦꯠ ꯑꯃꯠꯇꯅ ꯀꯨꯞꯇꯕ ꯑꯁꯪꯕ ꯄꯣꯀꯦꯠ ꯑꯃꯈꯛꯇ; ꯍꯥꯎꯁ ꯑꯦꯖꯀꯤ ꯍꯧꯔꯀꯐꯝꯅꯤ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯁꯤꯡꯒꯜ ꯖꯤꯔꯣ, 0꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯂꯩꯇꯕꯒꯨꯝ ꯂꯧꯗꯨꯅ ꯁꯦꯃꯈꯤꯕꯅꯤ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯕꯦꯠ ꯈꯨꯗꯤꯡꯃꯛꯅ ꯀꯔꯤ ꯀꯨꯞꯂꯕꯁꯨ ꯁ꯭ꯄꯤꯟ 37 ꯗ ꯌꯨꯅꯤꯠꯁꯦꯜꯌꯨꯅꯤꯠꯁꯤꯁ꯭ꯇꯦꯝ ꯅꯠꯔꯒ ꯁꯥꯟꯅꯔꯤꯕ ꯑꯃꯅ ꯁꯤꯖꯤꯟꯅꯕ ꯃꯔꯨꯑꯣꯏꯕ ꯊꯝꯂꯕ ꯁꯦꯜ꯫ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯅꯁꯤꯡ ꯌꯨꯅꯤꯠꯇ ꯁꯟꯗꯣꯛꯂꯤ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯃꯈꯣꯌ ꯀꯔꯤꯒꯨꯝꯕ ꯇꯦꯕꯜꯗ ꯆꯠꯂꯤ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯥ ꯃꯥꯡꯏ꯫
ꯃꯁꯤꯡ n ꯗ ꯊꯝꯕ ꯕꯦꯠ ꯑꯃꯥ ꯂꯧꯁꯤꯟꯕꯤꯌꯨ꯫ ꯃꯁꯤꯅ (36 − n)/n ꯗꯒꯤ 1 ꯄꯦꯑꯥꯎꯠ ꯄꯤ꯫ ꯁ꯭ꯄꯤꯟ 37 ꯒꯤ ꯃꯅꯨꯡꯗ ꯑꯦꯚꯔꯦꯖꯗ ꯑꯃꯨꯛ n ꯃꯥꯏꯄꯥꯛꯏ ꯑꯃꯁꯨꯡ ꯑꯃꯨꯛ 37 − n ꯃꯥꯏꯊꯤꯕ ꯐꯪꯏ꯫
ꯃꯥꯏꯄꯥꯛꯄꯁꯤꯡꯅ n × (36 − n)/n = 36 − n ꯌꯨꯅꯤꯠ ꯄꯨꯔꯀꯏ꯫ ꯃꯥꯏꯊꯤꯕꯁꯤꯡꯅ ꯌꯨꯅꯤꯠ 37 − n ꯃꯥꯡꯍꯜꯂꯤ꯫ ꯈꯦꯠꯅꯕ ꯑꯗꯨ ꯁ꯭ꯄꯤꯟ 37 ꯈꯨꯗꯤꯡꯗ −1 ꯌꯨꯅꯤꯠꯅꯤ, ꯑꯃꯁꯨꯡ n ꯑꯗꯨ ꯃꯥꯡꯈ꯭ꯔꯦ: ꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞ, ꯀꯣꯔꯅꯔꯕꯦꯠꯀꯣꯔꯅꯔꯂꯦꯑꯥꯎꯠꯇ ꯀꯣꯟꯅꯥ ꯑꯃꯥ ꯁꯦꯌꯔ ꯇꯧꯅꯔꯤꯕ ꯃꯁꯤꯡ ꯃꯔꯤ, 8:1 ꯄꯦꯑꯥꯎꯠ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯅꯠꯔꯒ ꯗꯖꯟꯕꯦꯠꯗꯖꯟ1–12, 13–24 ꯅꯠꯔꯒ 25–36, 2:1 ꯄꯦꯑꯥꯎꯠ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯒꯤꯗꯃꯛ ꯃꯍꯩ ꯑꯗꯨ ꯑꯃꯠꯇꯥ ꯑꯣꯏ꯫ ꯁ꯭ꯄꯤꯟ 37 ꯗ ꯌꯨꯅꯤꯠ ꯑꯃꯥ ꯃꯥꯡꯕ ꯍꯥꯌꯕꯁꯤ 2.70% ꯅꯤ꯫
ꯄꯣꯀꯦꯠꯈꯨꯠꯂꯥꯏꯄꯣꯀꯦꯠꯔꯣꯇꯔꯗ ꯂꯩꯕ ꯃꯁꯤꯡ ꯏꯔꯕ ꯀꯣꯠ 37 ꯒꯤ ꯃꯅꯨꯡꯗ ꯑꯃꯥ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯁ꯭ꯂꯣꯠ, ꯀꯞ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → N ꯂꯩꯕ ꯆꯛꯔ ꯑꯃꯗ ꯃꯇꯧ ꯑꯁꯨꯝꯕ ꯍꯤꯁꯥꯕ ꯑꯗꯨꯅ (36 − N)/N ꯄꯤ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯑꯃꯦꯔꯤꯀꯟ ꯆꯛꯔꯗ −2/38 = 5.26% ꯑꯣꯏ꯫ ꯄꯦꯇꯔꯟ ꯑꯁꯤ ꯊꯨꯒꯥꯏꯕ ꯕꯦꯠ ꯑꯃꯈꯛꯇꯅꯤ ꯑꯃꯦꯔꯤꯀꯟ ꯃꯁꯤꯡ ꯃꯉꯥꯒꯤ ꯕꯦꯠ: ꯅꯤꯌꯝ ꯑꯗꯨꯅ 6.2 ꯗꯒꯤ 1 ꯄꯤꯒꯗꯕꯅꯤ ꯍꯥꯌꯔꯤ, ꯃꯁꯤꯅ 6 ꯈꯛ ꯄꯤ, ꯑꯃꯁꯨꯡ ꯃꯃꯜ 7.89% ꯂꯩ꯫
ꯂꯣꯇꯔꯤꯒꯨꯝꯕ ꯁꯥꯟꯅꯕ ꯀꯤꯅꯣꯅ ꯕꯦꯠ ꯊꯝꯕ ꯁꯦꯜꯒꯤ 25% ꯅꯠꯔꯒ ꯃꯗꯨꯗꯒꯤ ꯍꯦꯟꯅꯥ ꯊꯝꯖꯤꯜꯂꯤ꯫ ꯀꯦꯁꯤꯅꯣ ꯑꯃꯅ ꯔꯨꯂꯦꯠ ꯆꯛꯔꯗ ꯖꯤꯔꯣ ꯍꯥꯄꯆꯤꯟꯗꯨꯅ ꯄꯦꯑꯥꯎꯠꯁꯤꯡ ꯍꯣꯡꯗꯣꯛꯂꯃꯗ꯭ꯔꯕꯗꯤ, ꯔꯨꯂꯦꯠꯄꯨ ꯀꯤꯅꯣꯒꯨꯝꯅ ꯃꯃꯜ ꯂꯩꯍꯟꯅꯕꯒꯤꯗꯃꯛ ꯖꯤꯔꯣ ꯀꯌꯥ ꯃꯊꯧ ꯇꯥꯒꯅꯤ?
ꯄꯥꯎꯈꯨꯝ ꯎꯠꯄ
ꯄꯥꯎꯈꯨꯝ ꯖꯤꯔꯣ ꯇꯔꯥꯅꯤꯊꯣꯏ: ꯄꯣꯀꯦꯠ 48 ꯂꯩꯕ ꯆꯛꯔ꯫
ꯖꯤꯔꯣ z ꯂꯩꯔꯕꯗ ꯆꯛꯔ ꯑꯗꯨꯗ ꯄꯣꯀꯦꯠ 36 + z ꯂꯩ, ꯑꯗꯨꯕꯨ ꯄꯦꯑꯥꯎꯠꯁꯤꯡꯅ ꯍꯧꯖꯤꯀꯁꯨ 36 ꯈꯛ ꯂꯧꯏ꯫ ꯃꯊꯛꯀꯤ ꯁꯃꯁ꯭ꯌꯥꯒꯤ ꯅꯤꯌꯝ ꯑꯗꯨꯒꯤ ꯃꯇꯨꯡ ꯏꯟꯅ, ꯕꯦꯠ ꯈꯨꯗꯤꯡꯃꯛꯅ ꯁ꯭ꯄꯤꯟ 36 + z ꯗ ꯌꯨꯅꯤꯠ z ꯃꯥꯡꯏ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯍꯥꯎꯁ ꯑꯦꯖ ꯑꯗꯨ z/(36 + z) ꯑꯣꯏ꯫
ꯃꯗꯨ ꯃꯔꯤ ꯁꯔꯨꯛ ꯑꯃꯒꯥ ꯆꯥꯅꯍꯟꯕꯤꯌꯨ: 4z = 36 + z, ꯃꯔꯝ ꯑꯗꯨꯅ z = 12꯫ ꯄꯣꯀꯦꯠ 48 ꯂꯩꯕ ꯆꯛꯔ ꯑꯃꯗ ꯖꯤꯔꯣ ꯇꯔꯥꯅꯤꯊꯣꯏꯅ 25% ꯃꯃꯜ ꯂꯩꯍꯟꯒꯅꯤ꯫
ꯂꯥꯁ ꯚꯦꯒꯥꯁ ꯁ꯭ꯇ꯭ꯔꯤꯞꯀꯤ ꯇ꯭ꯔꯤꯄꯜ ꯖꯤꯔꯣ ꯆꯛꯔ, ꯁꯥꯟꯅꯔꯤꯕ ꯀꯌꯥꯅ ꯎꯒꯅꯤꯕ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯃꯃꯜ ꯂꯩꯕ ꯔꯨꯂꯦꯠ, ꯃꯗꯨꯗ ꯃꯗꯨꯒꯤ ꯃꯔꯤ ꯁꯔꯨꯛ ꯑꯃꯈꯛ ꯂꯩ꯫
ꯖꯤꯔꯣꯄꯣꯀꯦꯠꯍꯥꯎꯁ ꯑꯦꯖ1372.70%2385.26%3397.69%44010.00%124825.00%ꯃꯦꯁꯥꯆꯨꯁꯦꯠꯁ ꯂꯣꯇꯔꯤꯅ 2023 ꯗ ꯃꯁꯤꯡ 36 ꯂꯩꯕ ꯑꯃꯁꯨꯡ ꯖꯤꯔꯣ ꯂꯩꯇꯕ ꯆꯛꯔ ꯑꯃꯥ ꯍꯧꯗꯣꯀꯈꯤ꯫ ꯃꯁꯤꯡ ꯑꯃꯈꯛꯅ 1 ꯒꯤꯗꯃꯛ 25 ꯄꯤ, ꯑꯃꯁꯨꯡ ꯑꯉꯥꯡꯕ, ꯑꯃꯨꯕꯕꯦꯠꯑꯃꯨꯕꯑꯃꯨꯕ ꯃꯁꯤꯡ 18 ꯗ ꯊꯝꯕ ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠ꯫ ꯐ꯭ꯔꯦꯟꯆ: ꯅꯣꯌꯥꯔ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →, ꯕꯤꯖꯣꯔ ꯅꯠꯔꯒ ꯖꯣꯔꯅ 2 ꯒꯤꯗꯃꯛ 3 ꯄꯤ꯫ ꯖꯤꯔꯣ ꯂꯩꯇꯕꯅ, ꯃꯁꯤ ꯔꯨꯂꯦꯠꯇꯒꯤ ꯃꯃꯜ ꯍꯟꯊꯕꯔꯥ?
ꯄꯥꯎꯈꯨꯝ ꯎꯠꯄ
ꯄꯥꯎꯈꯨꯝ ꯅꯠꯇꯦ, ꯌꯥꯝꯅ ꯃꯃꯜ ꯂꯩꯕꯅꯤ: ꯃꯁꯤꯡ ꯑꯃꯗ 30.56% ꯑꯃꯁꯨꯡ ꯑꯉꯥꯡꯕ ꯅꯠꯔꯒ ꯑꯃꯨꯕꯗ 25%, ꯌꯨꯔꯣꯄꯤꯌꯟ ꯆꯛꯔꯒꯤ 2.70% ꯒꯥ ꯆꯥꯡꯗꯝꯅꯕꯗ꯫
“ꯒꯤꯗꯃꯛ” ꯍꯥꯌꯕꯗ ꯊꯝꯂꯕ ꯁꯦꯜ ꯌꯥꯎꯏ꯫ $1 ꯒꯤ ꯃꯁꯤꯡ ꯕꯦꯠ ꯑꯃꯅ ꯑꯦꯚꯔꯦꯖꯗ ꯗ꯭ꯔꯣ 36 ꯗ ꯑꯃꯨꯛ $25 ꯍꯜꯂꯛꯏ: $36 ꯊꯝꯂꯕꯗ $25 ꯍꯜꯂꯛꯏ, 36 ꯗ $11 ꯃꯥꯡꯏ, 30.56%꯫
ꯑꯉꯥꯡꯕꯗ ꯊꯝꯕ $2 ꯒꯤ ꯕꯦꯠ ꯑꯃꯅ ꯃꯇꯝ ꯁꯔꯨꯛ ꯑꯃꯗ $3 ꯍꯜꯂꯛꯏ: $4 ꯊꯝꯕ ꯈꯨꯗꯤꯡꯗ $3 ꯍꯜꯂꯛꯏ, 25% ꯃꯥꯡꯏ꯫
ꯖꯤꯔꯣ ꯍꯥꯌꯕꯁꯤ ꯃꯃꯜ ꯁꯦꯝꯅꯕꯒꯤ ꯂꯝꯕꯤ ꯑꯃꯈꯛꯇꯅꯤ꯫ ꯔꯨꯂꯦꯠꯅ ꯄꯣꯀꯦꯠ 36 ꯂꯩꯕꯒꯨꯝ ꯄꯦꯑꯥꯎꯠ ꯄꯤ ꯑꯃꯁꯨꯡ 37 ꯁꯨꯕꯥ ꯑꯃꯥ ꯍꯥꯄꯆꯤꯜꯂꯤ; ꯆꯛꯔ ꯑꯁꯤꯗ ꯄꯣꯀꯦꯠ 36 ꯂꯩ ꯑꯃꯁꯨꯡ ꯍꯦꯟꯅꯥ ꯅꯦꯝꯅ ꯄꯤꯔꯤ꯫ ꯕꯣꯂꯃꯦꯟ (2024) ꯅ ꯃꯁꯤ ꯁꯃꯁ꯭ꯌꯥ ꯑꯃꯥ ꯑꯣꯏꯅ ꯄꯤꯔꯤ꯫
ꯀꯦꯁꯤꯅꯣ ꯑꯃꯅ 1 ꯗꯒꯤ 36 ꯐꯥꯑꯣꯕꯒꯤ ꯄ꯭ꯔꯥꯏꯝ ꯃꯁꯤꯡꯃꯦꯊꯃꯦꯇꯤꯛꯁꯄ꯭ꯔꯥꯏꯝ ꯃꯁꯤꯡ1 ꯗꯒꯤ ꯍꯦꯟꯕ ꯃꯄꯨꯡ ꯐꯥꯕ ꯃꯁꯤꯡ, ꯃꯁꯤꯕꯨ 1 ꯑꯃꯁꯨꯡ ꯃꯁꯥꯃꯛꯅ ꯈꯛꯇ ꯆꯨꯃꯊꯣꯛꯅ ꯌꯦꯟꯊꯣꯛꯄ ꯉꯝꯃꯤ: 2, 3, 5, 7, 11, 13 ꯑꯁꯤꯅ ꯆꯠꯂꯤ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯇꯔꯥꯅꯤꯊꯣꯏꯗ ꯕꯦꯠ ꯑꯅꯧꯕ ꯑꯃꯥ ꯄꯥꯝꯃꯤ: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 ꯑꯃꯁꯨꯡ 31꯫ ꯌꯨꯔꯣꯄꯤꯌꯟ ꯆꯛꯔꯒꯤ ꯑꯇꯩ ꯕꯦꯠ ꯈꯨꯗꯤꯡꯃꯛꯒꯨꯝꯅ 2.70% ꯈꯛ ꯃꯃꯜ ꯂꯩꯅꯕꯒꯤꯗꯃꯛ ꯀꯌꯥ ꯄꯦꯑꯥꯎꯠ ꯄꯤꯒꯗꯒꯦ? 2 ꯗꯒꯤ 1 ꯗ ꯀꯌꯥ ꯃꯃꯜ ꯂꯩꯒꯅꯤ?
ꯄꯥꯎꯈꯨꯝ ꯎꯠꯄ
ꯄꯥꯎꯈꯨꯝ 25 ꯗꯒꯤ 11, ꯈꯟꯊꯕꯗ 2.27 ꯗꯒꯤ 1꯫ 2 ꯗꯒꯤ 1 ꯗ 10.81% ꯃꯃꯜ ꯂꯩꯒꯅꯤ꯫
ꯑꯍꯥꯅꯕ ꯁꯃꯁ꯭ꯌꯥꯒꯤ ꯅꯤꯌꯝ ꯁꯤꯖꯤꯟꯅꯕꯤꯌꯨ: ꯃꯁꯤꯡ n ꯗ ꯊꯝꯕ ꯕꯦꯠ ꯑꯃꯅ (36 − n)/n ꯗꯒꯤ 1 ꯄꯤ꯫ n = 11 ꯑꯣꯏꯔꯕꯗ ꯃꯗꯨ 25/11 ꯗꯒꯤ 1 ꯑꯣꯏ, ꯁꯤꯖꯤꯟꯅꯕꯗ ꯀꯟꯕ ꯄꯦꯑꯥꯎꯠ ꯑꯃꯅꯤ, ꯃꯔꯃꯗꯤ $10 ꯒꯤ ꯆꯤꯞꯁꯦꯜꯆꯤꯞꯂꯦꯞꯂꯕ ꯁꯦꯜꯒꯤ ꯃꯃꯜ ꯇꯥꯛꯄ ꯇꯣꯀꯟ, ꯕꯦꯠ ꯊꯝꯅꯕ ꯂꯦꯑꯥꯎꯠꯇ ꯊꯝꯃꯤ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯆꯦꯛ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯅ $22.73 ꯃꯥꯏꯄꯥꯛꯀꯅꯤ꯫
2 ꯗꯒꯤ 1 ꯗ, $1 ꯒꯤ ꯕꯦꯠ ꯑꯃꯅ ꯁ꯭ꯄꯤꯟ 37 ꯒꯤ ꯃꯅꯨꯡꯗ 11 ꯗ $2 ꯃꯥꯏꯄꯥꯛꯏ ꯑꯃꯁꯨꯡ ꯑꯇꯣꯞꯄ 26 ꯗ $1 ꯃꯥꯡꯏ: 22 − 26 = ꯁ꯭ꯄꯤꯟ 37 ꯈꯨꯗꯤꯡꯗ −4 ꯌꯨꯅꯤꯠ, 10.81%꯫
ꯃꯔꯝ ꯑꯁꯤꯅ ꯔꯨꯂꯦꯠꯅ ꯃꯁꯤꯡ 1, 2, 3, 4, 6, 12 ꯑꯃꯁꯨꯡ 18 ꯗ ꯕꯦꯠꯁꯤꯡ ꯌꯣꯜꯂꯤ: 36 ꯑꯁꯤ ꯃꯈꯣꯌ ꯈꯨꯗꯤꯡꯃꯛꯅ ꯌꯦꯟꯊꯣꯛꯄ ꯉꯝꯃꯤ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯆꯨꯝꯃꯤꯟꯅꯕ ꯄꯦꯑꯥꯎꯠ ꯑꯗꯨ ꯃꯄꯨꯡ ꯐꯥꯕ ꯃꯁꯤꯡ ꯑꯣꯏ꯫ ꯇꯦꯂꯔ (2021) ꯅ ꯄ꯭ꯔꯥꯏꯝ ꯇꯔꯥꯒꯥ ꯂꯣꯌꯅꯅ ꯁꯃꯁ꯭ꯌꯥ ꯑꯁꯤ ꯄꯤꯔꯤ; ꯑꯁꯦꯡꯕꯗ ꯇꯔꯥꯅꯤꯊꯣꯏ ꯂꯩ꯫
ꯅꯣꯛꯅꯕꯒꯤ ꯀꯃꯤꯛ

ꯊꯝꯂꯕ ꯁꯦꯜ ꯈꯨꯗꯤꯡꯒꯤ 1/37, ꯕꯦꯠ ꯈꯨꯗꯤꯡꯗ, ꯁ꯭ꯄꯤꯟ ꯈꯨꯗꯤꯡꯗ꯫
ꯍꯧꯔꯛꯐꯃꯁꯤꯡ
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed.
- Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette.
- Hunacek, M. Quantitative Literacy Through Games and Gambling.