ꯔꯨꯂꯦꯠ ꯕꯦꯠꯁꯤꯡ · ꯃꯄꯥꯟꯒꯤ ꯕꯦꯠ · ꯀꯣꯂꯣꯟ · ꯃꯤꯅꯤꯠ 6

ꯔꯨꯂꯦꯠ ꯀꯂꯝ ꯕꯦꯠ

ꯔꯨꯂꯦꯠꯀꯤ ꯀꯂꯝ ꯕꯦꯠꯅ ꯂꯦꯑꯥꯎꯠꯀꯤ ꯃꯊꯛ-ꯃꯈꯥ ꯂꯥꯏꯟ ꯑꯃꯗ ꯂꯩꯕ ꯃꯁꯤꯡ ꯇꯔꯥꯅꯤꯊꯣꯏ ꯀꯨꯞꯏ꯫

ꯊꯨꯅ ꯄꯥꯎꯈꯨꯝ

ꯃꯁꯤꯡ ꯇꯔꯥꯅꯤꯊꯣꯏ, ꯄꯦꯑꯥꯎꯠ 2:1꯫ ꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕꯃꯦꯊꯃꯦꯇꯤꯛꯁꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕꯃꯍꯩ ꯑꯃꯥ ꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕ, 0 ꯗꯒꯤ 1 ꯐꯥꯑꯣꯕ ꯅꯠꯔꯒ 0% ꯗꯒꯤ 100% ꯐꯥꯑꯣꯕ꯫ ꯃꯁꯤꯡ ꯑꯃꯥ: 1/37 = 2.70%꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → 32.43%꯫ ꯗꯖꯟꯒꯥ ꯑꯣꯗꯁ ꯃꯥꯟꯅꯩ, ꯃꯁꯤꯡꯁꯤꯡ ꯈꯛ ꯈꯦꯠꯅꯩ꯫

ꯀꯨꯞꯄ
12 / 37
ꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕ
32.43%
ꯄꯦꯑꯥꯎꯠ
2:1
ꯃꯆꯨꯁꯤꯡ
ꯃꯥꯟꯅꯗꯕ
ꯇꯦꯕꯜꯗ · ꯃꯁꯤꯡ 12
ꯆꯛꯔꯗ
0321519421225173462713361130823105241633120143192218297281235326

ꯔꯨꯂꯦꯠ ꯇꯦꯕꯜꯒꯤ ꯀꯂꯝꯁꯤꯡ

ꯂꯦꯑꯥꯎꯠꯈꯨꯠꯂꯥꯏꯂꯦꯑꯥꯎꯠꯇꯦꯕꯜꯗ ꯏꯔꯕ ꯕꯦꯠ ꯊꯝꯕꯒꯤ ꯒ꯭ꯔꯤꯗ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯇꯦꯕꯜ, ꯐꯦꯜꯠ, ꯀ꯭ꯂꯣꯊ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →ꯀꯤ ꯃꯈꯥꯗ ꯂꯩꯕ “2:1” ꯕꯛꯁ ꯑꯍꯨꯝ, ꯀꯂꯝꯕꯦꯠꯀꯂꯝꯂꯦꯑꯥꯎꯠꯀꯤ ꯊꯣꯡꯅꯥꯡꯒꯤ ꯀꯂꯝ ꯑꯃꯗ ꯂꯩꯕ ꯃꯁꯤꯡ ꯇꯔꯥꯅꯤꯊꯣꯏ, 2:1 ꯄꯦꯑꯥꯎꯠ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯃꯃꯒꯤ ꯃꯈꯥꯗ ꯑꯃꯃꯃ꯫ ꯀꯂꯝ 1 ꯗ 1, 4, 7 … 34 ꯂꯩ; ꯀꯂꯝ 2 ꯗ 2, 5, 8 … 35 ꯂꯩ; ꯀꯂꯝ 3 ꯗ 3, 6, 9 … 36 ꯂꯩ꯫ ꯃꯈꯣꯌ ꯑꯃꯃꯃꯅ ꯇꯦꯕꯜꯒꯤ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯅꯦꯝꯕ ꯉꯝꯈꯩ ꯃꯁꯥ ꯃꯊꯟꯇ ꯐꯪꯒꯗꯕꯅꯤ꯫ ꯖꯤꯔꯣꯆꯛꯔꯖꯤꯔꯣꯆꯞ ꯃꯥꯟꯅꯕ, ꯗꯖꯟ ꯅꯠꯔꯒ ꯀꯂꯝ ꯕꯦꯠ ꯑꯃꯠꯇꯅ ꯀꯨꯞꯇꯕ ꯑꯁꯪꯕ ꯄꯣꯀꯦꯠ ꯑꯃꯈꯛꯇ; ꯍꯥꯎꯁ ꯑꯦꯖꯀꯤ ꯍꯧꯔꯀꯐꯝꯅꯤ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯁꯤꯡꯒꯜ ꯖꯤꯔꯣ, 0꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯁꯤ ꯀꯔꯝꯕ ꯀꯂꯝ ꯑꯃꯗꯁꯨ ꯌꯥꯎꯗꯦ꯫

ꯀꯂꯝꯗ ꯕꯣꯜ ꯂꯥꯛꯄ ꯃꯐꯝꯁ꯭ꯄꯤꯟꯁꯤꯡꯒꯤ %
ꯕꯦꯠ ꯑꯁꯤ ꯃꯥꯏꯄꯥꯛꯏ
32.43%
ꯑꯇꯣꯞꯄ ꯃꯁꯤꯡ
64.86%
ꯖꯤꯔꯣ
2.70%
ꯁ꯭ꯄꯤꯟꯁꯤꯡꯒꯤ %
032.4364.86%

ꯔꯨꯂꯦꯠ ꯇꯦꯕꯜꯒꯤ ꯉꯝꯈꯩꯁꯤꯡ

ꯔꯨꯂꯦꯠ ꯀꯂꯝꯒꯤ ꯄꯦꯑꯥꯎꯠ ꯑꯃꯁꯨꯡ ꯐꯪꯒꯗꯕ ꯃꯃꯜ

ꯗꯖꯟꯕꯦꯠꯗꯖꯟ1–12, 13–24 ꯅꯠꯔꯒ 25–36, 2:1 ꯄꯦꯑꯥꯎꯠ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯒꯥ ꯆꯞ ꯃꯥꯟꯅꯩ: ꯆꯨꯝꯃꯤꯟꯅꯕ ꯑꯣꯗꯁ 2.083 ꯗꯒꯤ 1, ꯇꯦꯕꯜꯅ 2 ꯄꯤ, ꯃꯥꯡꯒꯗꯕ ꯁꯦꯜꯃꯦꯊꯃꯦꯇꯤꯛꯁꯃꯥꯡꯒꯗꯕ ꯁꯦꯜꯐꯪꯒꯗꯕ ꯃꯃꯂꯕꯨ ꯕꯦꯠ ꯊꯝꯂꯕ ꯁꯦꯜ ꯄꯨꯝꯅꯃꯛꯅ ꯃꯅꯥꯡꯕ; ꯁꯦꯁꯟ ꯅꯠꯔꯒ ꯃꯇꯝ ꯑꯃꯒꯤ ꯃꯅꯨꯡꯗ ꯃꯥꯡꯕ ꯑꯦꯚꯔꯦꯖ ꯁꯦꯜ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯊꯝꯂꯕ ꯁꯦꯜꯒꯤ 2.70%, ꯌꯨꯅꯤꯠꯁꯦꯜꯌꯨꯅꯤꯠꯁꯤꯁ꯭ꯇꯦꯝ ꯅꯠꯔꯒ ꯁꯥꯟꯅꯔꯤꯕ ꯑꯃꯅ ꯁꯤꯖꯤꯟꯅꯕ ꯃꯔꯨꯑꯣꯏꯕ ꯊꯝꯂꯕ ꯁꯦꯜ꯫ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯅꯁꯤꯡ ꯌꯨꯅꯤꯠꯇ ꯁꯟꯗꯣꯛꯂꯤ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯃꯈꯣꯌ ꯀꯔꯤꯒꯨꯝꯕ ꯇꯦꯕꯜꯗ ꯆꯠꯂꯤ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯈꯨꯗꯤꯡꯗ ꯁ꯭ꯇꯦꯟꯗꯔꯗ ꯗꯤꯚꯤꯌꯦꯁꯟꯃꯦꯊꯃꯦꯇꯤꯛꯁꯁ꯭ꯇꯦꯟꯗꯔꯗ ꯗꯤꯚꯤꯌꯦꯁꯟꯚꯦꯌꯔꯤꯌꯦꯟꯁꯀꯤ ꯁ꯭ꯀ꯭ꯋꯦꯌꯔ ꯔꯨꯠ; ꯃꯍꯩ ꯑꯃꯅ ꯐꯪꯒꯗꯕ ꯃꯃꯜꯗꯒꯤ ꯌꯥꯝꯅ ꯂꯥꯞꯄ ꯃꯑꯣꯡ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → 1.39꯫

$10 × ꯁ꯭ꯄꯤꯟ 100ꯀꯂꯝ
ꯁ꯭ꯄꯤꯟ ꯈꯨꯗꯤꯡꯒꯤ ꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕ32.43%
ꯁ꯭ꯄꯤꯟ 100 ꯃꯅꯨꯡꯗ ꯐꯪꯒꯗꯕ ꯃꯥꯏꯄꯥꯛꯄ32.4
ꯐꯪꯒꯗꯕ ꯃꯍꯩ−$27.03
ꯁ꯭ꯇꯦꯟꯗꯔꯗ ꯗꯤꯚꯤꯌꯦꯁꯟ$140
p(ꯁ꯭ꯄꯤꯟ 100 ꯃꯅꯨꯡꯗ ꯃꯥꯏꯄꯥꯛꯄ ꯑꯃꯠꯇ ꯂꯩꯇꯕ)0.000000%
ꯃꯇꯧ ꯑꯣꯏꯅ ꯂꯥꯛꯄ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯁꯥꯡꯕ ꯃꯥꯏꯊꯤꯕꯒꯤ ꯁ꯭ꯇ꯭ꯔꯤꯛꯁ꯭ꯄꯤꯟ 12
ꯃꯥꯡꯒꯗꯕ ꯁꯦꯜ ꯑꯇꯣꯞꯄ ꯕꯦꯠ ꯈꯨꯗꯤꯡꯒꯥ ꯃꯥꯟꯅꯩ꯫ ꯅꯍꯥꯛꯅ ꯈꯅꯕꯁꯤ ꯃꯍꯩꯁꯤꯡ ꯀꯌꯥ ꯌꯥꯝꯅ ꯆꯦꯟꯊꯕꯒꯅꯤ꯫

ꯃꯆꯨꯒꯤ ꯌꯥꯎꯊꯣꯛ

ꯀꯂꯝꯁꯤꯡꯗ ꯃꯆꯨ ꯃꯥꯟꯅꯅ ꯌꯥꯎꯗꯦ꯫ ꯀꯂꯝ 1 ꯗ ꯑꯉꯥꯡꯕꯕꯦꯠꯑꯉꯥꯡꯕꯑꯉꯥꯡꯕ ꯃꯁꯤꯡ 18 ꯗ ꯊꯝꯕ ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠ꯫ ꯐ꯭ꯔꯦꯟꯆ: ꯔꯨꯖ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯇꯔꯨꯛ ꯑꯃꯁꯨꯡ ꯑꯃꯨꯕꯕꯦꯠꯑꯃꯨꯕꯑꯃꯨꯕ ꯃꯁꯤꯡ 18 ꯗ ꯊꯝꯕ ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠ꯫ ꯐ꯭ꯔꯦꯟꯆ: ꯅꯣꯌꯥꯔ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯇꯔꯨꯛ ꯂꯩ꯫ ꯀꯂꯝ 2 ꯗ ꯑꯉꯥꯡꯕ ꯃꯔꯤ (5, 14, 23, 32) ꯑꯃꯁꯨꯡ ꯑꯃꯨꯕ ꯅꯤꯄꯥꯟ ꯂꯩ꯫ ꯀꯂꯝ 3 ꯗ ꯑꯉꯥꯡꯕ ꯅꯤꯄꯥꯟ ꯑꯃꯁꯨꯡ ꯑꯃꯨꯕ ꯃꯔꯤ (6, 15, 24, 33) ꯂꯩ꯫ ꯀꯂꯝ ꯑꯃꯥ ꯃꯆꯨꯒꯤ ꯕꯦꯠ ꯑꯃꯒꯥ ꯄꯨꯟꯅꯥ ꯊꯃꯗꯨꯅ ꯑꯅꯤꯃꯛ ꯀꯌꯥ ꯃꯇꯃꯗ ꯃꯥꯏꯄꯥꯛꯀꯅꯤ ꯈꯉꯕ ꯄꯥꯝꯂꯕꯗ ꯈꯛꯇ ꯃꯁꯤ ꯃꯔꯨ ꯑꯣꯏ: ꯀꯂꯝ 3 ꯑꯃꯁꯨꯡ ꯑꯉꯥꯡꯕꯅ ꯃꯁꯤꯡ ꯅꯤꯄꯥꯟꯗ ꯑꯅꯤꯃꯛ ꯃꯥꯏꯄꯥꯛꯏ, ꯑꯗꯨꯒꯥ ꯀꯂꯝ 2 ꯑꯃꯁꯨꯡ ꯑꯉꯥꯡꯕꯅ ꯃꯁꯤꯡ ꯃꯔꯤꯗ ꯈꯛꯇ ꯑꯅꯤꯃꯛ ꯃꯥꯏꯄꯥꯛꯏ꯫

ꯀꯂꯝꯃꯁꯤꯡꯁꯤꯡꯑꯉꯥꯡꯕꯑꯃꯨꯕ
ꯀꯂꯝ 11 4 7 10 13 16 19 22 25 28 31 3466
ꯀꯂꯝ 22 5 8 11 14 17 20 23 26 29 32 3548
ꯀꯂꯝ 33 6 9 12 15 18 21 24 27 30 33 3684

ꯔꯨꯂꯦꯠ ꯀꯂꯝꯁꯤꯡ ꯗꯖꯟꯗꯒꯤ ꯀꯔꯤꯒꯤ ꯈꯦꯠꯅꯕ ꯑꯣꯏꯅ ꯐꯥꯑꯣꯕꯒꯦ

ꯗꯖꯟ ꯑꯁꯤ ꯃꯇꯨꯡ ꯏꯟꯅꯥ ꯂꯥꯛꯄ ꯃꯁꯤꯡ ꯇꯔꯥꯅꯤꯊꯣꯏꯅꯤ; ꯀꯂꯝ ꯑꯃꯅ ꯃꯁꯤꯡ ꯈꯨꯗꯤꯡꯒꯤ ꯃꯔꯛꯇ ꯑꯅꯤ ꯂꯥꯟꯊꯣꯀꯏ꯫ ꯆꯛꯔꯗꯤ ꯑꯅꯤꯃꯛ ꯆꯦꯟꯊꯔꯛꯂꯤ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯑꯃꯠꯇ ꯁꯦꯛꯇꯔꯆꯛꯔꯁꯦꯛꯇꯔꯆꯛꯔꯗ ꯃꯔꯛ ꯂꯩꯇꯅ ꯃꯈꯥ ꯆꯠꯅꯅ ꯂꯩꯕ ꯄꯣꯀꯦꯠꯁꯤꯡꯒꯤ ꯁꯔꯨꯛ, ꯂꯦꯑꯥꯎꯠꯇ ꯂꯩꯕ ꯀꯥꯡꯂꯨꯞ ꯑꯃꯗꯒꯤ ꯇꯣꯉꯥꯟꯅ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯅꯠꯇꯦ꯫ ꯈꯦꯠꯅꯕ ꯑꯁꯤ ꯃꯃꯤ ꯈꯛꯇꯅꯤ, ꯑꯗꯨꯕꯨ ꯃꯁꯤꯅꯤ “ꯀꯂꯝ ꯁꯤꯁ꯭ꯇꯦꯝꯁꯤꯡ” ꯑꯃꯁꯨꯡ “ꯗꯖꯟ ꯁꯤꯁ꯭ꯇꯦꯝꯁꯤꯡ” ꯑꯁꯤ ꯕꯦꯠ ꯑꯃꯈꯛꯇ ꯑꯣꯏꯔꯕꯁꯨ ꯈꯦꯠꯅꯕ ꯄꯣꯠꯂꯝ ꯑꯣꯏꯅ ꯌꯣꯟꯕꯒꯤ ꯃꯔꯝ꯫

ꯄꯨꯟꯁꯤꯟꯅꯕꯁꯤꯡ

ꯗꯖꯟ ꯑꯅꯤꯒꯨꯝꯅ ꯀꯂꯝ ꯑꯅꯤꯅꯁꯨ ꯁ꯭ꯄꯤꯟ 37 ꯒꯤ ꯃꯅꯨꯡꯗꯒꯤ 24 ꯃꯥꯏꯄꯥꯛꯏ ꯑꯃꯁꯨꯡ ꯅꯦꯠ ꯌꯨꯅꯤꯠ ꯑꯃꯈꯛ ꯐꯪꯏ꯫ ꯀꯂꯝ ꯑꯃꯁꯨꯡ ꯗꯖꯟ ꯑꯃꯅ ꯃꯁꯤꯡ ꯃꯔꯤꯗ ꯊꯦꯡꯅꯩ (ꯀꯂꯝ 1 ꯑꯃꯁꯨꯡ ꯑꯍꯥꯅꯕ ꯗꯖꯟꯅ 1, 4, 7, 10 ꯁꯔꯨꯛ ꯌꯥꯅꯩ), ꯃꯁꯤꯡ 20 ꯀꯨꯞꯏ ꯑꯃꯁꯨꯡ ꯃꯈꯣꯌꯒꯤ ꯃꯔꯛꯇ ꯃꯔꯤꯗ ꯑꯃꯨꯛ ꯑꯅꯤ ꯃꯥꯏꯄꯥꯛꯏ꯫ ꯕꯦꯠ ꯕꯤꯜꯗꯔ ꯈꯨꯠꯂꯥꯏꯅ ꯆꯨꯝꯕ ꯗꯤꯁ꯭ꯇ꯭ꯔꯤꯕ꯭ꯌꯨꯁꯟ ꯎꯠꯂꯤ꯫

ꯕꯦꯠ ꯁꯦꯝꯕꯒꯤ ꯈꯨꯠꯂꯥꯏ

ꯋꯥꯍꯪꯁꯤꯡ

ꯀꯂꯝꯒꯤ ꯕꯛꯁ ꯑꯁꯤ ꯃꯊꯛꯇ ꯂꯩꯕꯔꯥ ꯃꯈꯥꯗ ꯂꯩꯕꯔꯥ?

ꯒ꯭ꯔꯤꯗꯀꯤ ꯃꯈꯥꯗ, 34, 35 ꯑꯃꯁꯨꯡ 36 ꯒꯤ ꯃꯈꯥꯗ꯫ ꯃꯊꯛ ꯑꯅꯤ ꯂꯩꯕ ꯐ꯭ꯔꯦꯟꯆ ꯂꯦꯑꯥꯎꯠꯇ ꯃꯈꯣꯌ ꯖꯤꯔꯣꯗꯒꯤ ꯂꯥꯞꯄ ꯃꯊꯛꯇ ꯂꯩ꯫

ꯔꯨꯂꯦꯠꯇ ꯀꯂꯝ ꯕꯦꯠꯅ ꯖꯤꯔꯣ ꯌꯥꯎꯕ꯭ꯔꯥ?

ꯌꯥꯎꯗꯦ꯫ ꯖꯤꯔꯣ ꯑꯁꯤ ꯀꯂꯝ ꯑꯍꯨꯃꯃꯛꯀꯤ ꯃꯊꯛꯇ ꯂꯩ ꯑꯃꯁꯨꯡ ꯀꯔꯝꯕ ꯑꯃꯗꯁꯨ ꯌꯥꯎꯗꯦ꯫

ꯅꯣꯛꯅꯕꯒꯤ ꯀꯃꯤꯛ

ꯑꯣꯗꯁ ꯃꯥꯟꯅꯩ, ꯃꯁꯤꯡ ꯈꯦꯠꯅꯩ, ꯐꯣꯟꯠ ꯈꯦꯠꯅꯩ꯫

ꯑꯣꯗꯁ ꯃꯥꯟꯅꯩ, ꯃꯁꯤꯡ ꯈꯦꯠꯅꯩ, ꯐꯣꯟꯠ ꯈꯦꯠꯅꯩ꯫

ꯍꯧꯔꯛꯐꯃꯁꯤꯡ

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010꯫ ꯆꯦꯞꯇꯔ 13, ꯔꯨꯂꯦꯠ꯫
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