ꯔꯨꯂꯦꯠꯀꯤ ꯃꯦꯊꯃꯦꯇꯤꯛꯁ · ꯁꯤꯖꯤꯟꯅꯕ · ꯃꯤꯅꯤꯠ 7

ꯀꯣꯜ ꯕꯦꯠꯁꯤꯡꯒꯤ ꯐꯪꯒꯗꯕ ꯃꯃꯜ

ꯚꯣꯌꯥꯖꯦꯟ, ꯇꯤꯌꯦꯌꯔ, ꯑꯣꯔꯐꯦꯂꯦꯟꯐ꯭ꯔꯦꯟꯆ · ꯁꯦꯛꯇꯔꯑꯣꯔꯐꯦꯂꯦꯟ“ꯃꯆꯥ ꯅꯨꯄꯥꯡꯕꯁꯤꯡ”: ꯚꯣꯌꯥꯖꯦꯟ ꯑꯃꯁꯨꯡ ꯇꯤꯌꯦꯌꯔꯅ ꯀꯨꯞꯇꯨꯅ ꯂꯩꯔꯤꯕ ꯃꯁꯤꯡ ꯅꯤꯄꯥꯟ: 17, 34, 6 ꯑꯃꯁꯨꯡ 1, 20, 14, 31, 9꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →, ꯌꯨꯝꯂꯣꯟꯅꯕ ꯕꯦꯠ ꯑꯃꯁꯨꯡ ꯖꯨ ꯖꯦꯔꯣ, ꯃꯈꯣꯌ ꯈꯨꯗꯤꯡꯃꯛ ꯆꯤꯞ ꯈꯨꯗꯤꯡꯗ −1/37 ꯐꯥꯑꯣꯕ ꯊꯤꯖꯤꯟꯗꯨꯅ꯫

ꯊꯨꯅ ꯄꯥꯎꯈꯨꯝ

ꯀꯣꯜ ꯕꯦꯠꯁꯤꯡ ꯑꯁꯤ ꯆꯞ ꯃꯥꯟꯅꯗꯕ ꯑꯔꯨꯝꯕꯥ ꯂꯩꯕ ꯁ꯭ꯇꯦꯟꯗꯔꯗ ꯕꯦꯠꯁꯤꯡꯒꯤ ꯄꯨꯟꯁꯤꯅꯕꯅꯤ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯃꯈꯣꯌꯒꯤ ꯄꯦꯑꯥꯎꯠ ꯑꯁꯤ ꯄꯣꯀꯦꯠꯈꯨꯠꯂꯥꯏꯄꯣꯀꯦꯠꯔꯣꯇꯔꯗ ꯂꯩꯕ ꯃꯁꯤꯡ ꯏꯔꯕ ꯀꯣꯠ 37 ꯒꯤ ꯃꯅꯨꯡꯗ ꯑꯃꯥ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯁ꯭ꯂꯣꯠ, ꯀꯞ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯈꯨꯗꯤꯡꯒꯤ ꯃꯇꯨꯡ ꯏꯟꯅ ꯈꯦꯠꯅꯩ꯫ ꯃꯈꯣꯌ ꯈꯨꯗꯤꯡꯃꯛ ꯍꯧꯖꯤꯀꯁꯨ ꯄꯨꯝꯅꯃꯛ ꯊꯝꯂꯕ ꯁꯦꯜꯒꯤ −2.70% ꯑꯣꯏ, ꯃꯔꯃꯗꯤ ꯐꯪꯒꯗꯕ ꯃꯃꯂꯁꯤꯡ ꯄꯨꯟꯁꯤꯅꯕ ꯌꯥꯏ꯫ ꯂꯃꯥꯏ ꯑꯁꯤꯅ ꯃꯉꯥ ꯄꯨꯝꯅꯃꯛꯀꯤ ꯊꯤꯖꯤꯟꯕ ꯑꯗꯨ ꯎꯠꯂꯤ꯫

ꯀꯣꯜ ꯕꯦꯠꯁꯤꯡ
ꯁ꯭ꯇꯦꯟꯗꯔꯗ 5
ꯆꯤꯞ
4 ꯗꯒꯤ 9 ꯐꯥꯑꯣꯕ
ꯆꯤꯞ ꯈꯨꯗꯤꯡꯒꯤ EV
−1/37
ꯄꯦꯑꯥꯎꯠ ꯄꯣꯀꯦꯠꯀꯤ ꯃꯇꯨꯡ ꯏꯟꯅ ꯈꯦꯠꯅꯩ
ꯍꯣꯏ

ꯃꯈꯣꯌ ꯀꯔꯤꯒꯤ ꯈꯦꯠꯅꯅ ꯎꯕꯒꯦ

ꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞꯕꯦꯠꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞꯃꯁꯤꯡ ꯑꯃꯈꯛꯇ, 35:1 ꯄꯦꯑꯥꯎꯠ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯗ ꯄꯦꯑꯥꯎꯠ ꯄꯤꯕ ꯃꯍꯩ ꯑꯃꯈꯛꯇ ꯂꯩ꯫ ꯚꯣꯌꯥꯖꯦꯟ ꯗꯨ ꯖꯦꯔꯣꯐ꯭ꯔꯦꯟꯆ · ꯁꯦꯛꯇꯔꯚꯣꯌꯥꯖꯦꯟ ꯗꯨ ꯖꯦꯔꯣ“ꯖꯤꯔꯣꯒꯤ ꯌꯨꯝꯂꯣꯟꯅꯕꯁꯤꯡ”: ꯆꯛꯔꯗ 22 ꯗꯒꯤ 25 ꯐꯥꯑꯣꯕ ꯃꯁꯤꯡ ꯇꯔꯥꯇꯔꯦꯠ, ꯆꯤꯞ ꯃꯥꯄꯟꯅ ꯕꯦꯠ ꯊꯝꯃꯤ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯗ ꯈꯦꯠꯅꯕ ꯄꯦꯑꯥꯎꯠꯁꯦꯜꯄꯦꯑꯥꯎꯠꯃꯥꯏꯄꯥꯛꯄ ꯕꯦꯠ ꯑꯃꯅ ꯍꯜꯂꯛꯄ ꯁꯦꯜ, ꯍꯜꯂꯀꯄ ꯊꯝꯂꯕ ꯁꯦꯜꯒꯤ ꯃꯊꯛꯇ “X ꯗꯒꯤ 1” ꯍꯥꯌꯅ ꯍꯥꯌꯏ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯍꯨꯝ ꯂꯩ, ꯕꯣꯜꯈꯨꯠꯂꯥꯏꯕꯣꯜꯔꯣꯇꯔꯒꯤ ꯃꯥꯌꯣꯛꯇ ꯇ꯭ꯔꯦꯛꯇ ꯊꯥꯗꯣꯛꯄ ꯑꯄꯤꯛꯄ ꯕꯣꯜ꯫ ꯍꯧꯖꯤꯛꯀꯤ ꯕꯣꯜꯁꯤꯡ ꯑꯥꯏꯚꯣꯔꯤꯟ ꯅꯠꯔꯒ ꯇꯦꯐ꯭ꯂꯣꯅꯅ ꯁꯦꯝꯃꯤ, 18–21 mm꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯗꯨ ꯆꯤꯞ ꯑꯅꯤ ꯊꯝꯂꯕ ꯁ꯭ꯇ꯭ꯔꯤꯠꯕꯦꯠꯁ꯭ꯇ꯭ꯔꯤꯠꯂꯦꯑꯥꯎꯠꯀꯤ ꯂꯥꯏꯟ ꯑꯃꯗ ꯂꯩꯕ ꯃꯁꯤꯡ ꯑꯍꯨꯝ, 11:1 ꯄꯦꯑꯥꯎꯠ꯫ ꯐ꯭ꯔꯦꯟꯆ: ꯇ꯭ꯔꯥꯟꯁꯚꯔꯁꯥꯜ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →, ꯆꯤꯞ ꯑꯅꯤ ꯊꯝꯂꯕ ꯀꯣꯔꯅꯔꯕꯦꯠꯀꯣꯔꯅꯔꯂꯦꯑꯥꯎꯠꯇ ꯀꯣꯟꯅꯥ ꯑꯃꯥ ꯁꯦꯌꯔ ꯇꯧꯅꯔꯤꯕ ꯃꯁꯤꯡ ꯃꯔꯤ, 8:1 ꯄꯦꯑꯥꯎꯠ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯅꯠꯔꯒ ꯆꯤꯞ ꯑꯃꯈꯛꯇ ꯊꯝꯂꯕ ꯁ꯭ꯞꯂꯤꯠꯕꯦꯠꯁ꯭ꯞꯂꯤꯠꯌꯨꯝꯂꯣꯟꯅꯕ ꯃꯁꯤꯡ ꯑꯅꯤ, 17:1 ꯄꯦꯑꯥꯎꯠ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯗ ꯆꯦꯟꯊꯔꯛꯄꯒꯤ ꯃꯇꯨꯡ ꯏꯟꯅ꯫ ꯈꯦꯠꯅꯕ ꯑꯁꯤꯅ ꯍꯣꯡꯂꯛꯇꯕ ꯑꯃꯥ ꯂꯣꯠꯂꯤ: ꯕꯦꯠ ꯑꯗꯨꯒꯤ ꯆꯤꯞꯁꯦꯜꯆꯤꯞꯂꯦꯞꯂꯕ ꯁꯦꯜꯒꯤ ꯃꯃꯜ ꯇꯥꯛꯄ ꯇꯣꯀꯟ, ꯕꯦꯠ ꯊꯝꯅꯕ ꯂꯦꯑꯥꯎꯠꯇ ꯊꯝꯃꯤ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯆꯦꯛ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯈꯨꯗꯤꯡꯃꯛ ꯃꯁꯥꯒꯤ −1/37 ꯒꯤ EV ꯂꯩꯕ ꯃꯤꯅꯝ ꯕꯦꯠ ꯑꯃꯅꯤ, ꯑꯃꯁꯨꯡ ꯄꯨꯝꯅꯃꯛ ꯑꯗꯨ ꯃꯈꯣꯌꯒꯤ ꯄꯨꯟꯁꯤꯅꯕꯅꯤ꯫

ꯚꯣꯌꯥꯖꯦꯟ ꯗꯨ ꯖꯦꯔꯣ (ꯆꯤꯞ 9, ꯃꯁꯤꯡ 17)

0-2-3 ꯗ 2 (ꯁ꯭ꯇ꯭ꯔꯤꯠ, 11 ꯄꯤ), 25-26-28-29 ꯗ 2 (ꯀꯣꯔꯅꯔ, 8 ꯄꯤ), ꯁ꯭ꯞꯂꯤꯠ 4-7, 12-15, 18-21, 19-22, 32-35 ꯈꯨꯗꯤꯡꯗ 1 (17 ꯄꯤ)꯫ ꯁ꯭ꯇ꯭ꯔꯤꯠꯇ ꯊꯣꯛꯂꯕꯗꯤ: +22 − 7 = +15꯫ ꯀꯣꯔꯅꯔꯗ ꯊꯣꯛꯂꯕꯗꯤ: +16 − 7 = +9꯫ ꯁ꯭ꯞꯂꯤꯠ ꯑꯃꯗ ꯊꯣꯛꯂꯕꯗꯤ: +17 − 8 = +9꯫ ꯊꯣꯛꯇꯕꯗꯤ: −9꯫ EV = (3 × 15 + 4 × 9 + 10 × 9 − 20 × 9)/37 = (45 + 36 + 90 − 180)/37 = −9/37꯫ ꯆꯤꯞ ꯃꯥꯄꯟ, −9/37: ꯆꯤꯞ ꯈꯨꯗꯤꯡꯗ −1/37꯫

ꯀꯣꯜ ꯕꯦꯠꯆꯤꯞꯌꯥꯎꯕ ꯃꯁꯤꯡꯃꯍꯩꯁꯤꯡ (ꯅꯦꯠ ꯌꯨꯅꯤꯠ, ꯄꯣꯀꯦꯠ)EV (ꯌꯨꯅꯤꯠ)
ꯚꯣꯌꯥꯖꯦꯟ ꯗꯨ ꯖꯦꯔꯣ917+15 × 3 · +9 × 14 · −9 × 20−9/37
ꯇꯤꯌꯦꯌꯔ ꯗꯨ ꯁꯤꯂꯦꯟꯗ꯭ꯔ612+12 × 12 · −6 × 25−6/37
ꯑꯣꯔꯐꯦꯂꯦꯟ (ꯑꯣꯡ ꯁꯦꯚꯥꯜ)58+31 × 2 · +13 × 6 · −5 × 29−5/37
ꯌꯨꯝꯂꯣꯟꯅꯕ ꯕꯦꯠ (5)55+31 × 5 · −5 × 32−5/37
ꯖꯨ ꯖꯦꯔꯣ47+32 × 1 · +14 × 6 · −4 × 30−4/37
ꯁꯦꯛꯇꯔ ꯑꯍꯨꯝ ꯄꯨꯝꯅꯃꯛ ꯄꯨꯟꯅ2037ꯄꯣꯀꯦꯠꯀꯤ ꯃꯇꯨꯡ ꯏꯟꯅ +15/+9/+12/+31/+13; ꯀꯩꯗꯧꯉꯩꯗꯁꯨ ꯃꯥꯏꯊꯤꯗꯦ−20/37
EV ꯑꯗꯨ ꯆꯤꯞꯅ ꯈꯥꯌꯔꯕꯗꯤ ꯔꯣ ꯈꯨꯗꯤꯡꯃꯛ −1/37 ꯑꯣꯏ꯫

ꯇꯤꯌꯦꯌꯔ ꯗꯨ ꯁꯤꯂꯦꯟꯗ꯭ꯔ (ꯆꯤꯞ 6, ꯃꯁꯤꯡ 12)

ꯁ꯭ꯞꯂꯤꯠ ꯇꯔꯨꯛ, ꯈꯨꯗꯤꯡꯃꯛꯅ 17 ꯄꯤ꯫ ꯀꯔꯤꯒꯨꯝꯕ ꯑꯃꯗ ꯊꯣꯛꯂꯕꯗꯤ: +17 − 5 = +12꯫ ꯊꯣꯛꯇꯕꯗꯤ: −6꯫ EV = (12 × 12 − 25 × 6)/37 = (144 − 150)/37 = −6/37꯫ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯂꯦꯞꯄ ꯂꯩꯇꯕ ꯀꯣꯜ ꯕꯦꯠꯇꯦꯕꯜꯀꯣꯜ ꯕꯦꯠꯈꯨꯠꯅ ꯊꯝꯗꯅ ꯗꯤꯂꯔꯗ ꯂꯥꯑꯣꯊꯣꯛꯄ ꯕꯦꯠ, ꯌꯥꯝꯅ ꯚꯣꯌꯥꯖꯦꯟ ꯅꯠꯔꯒ ꯇꯤꯌꯦꯌꯔꯒꯨꯝꯕ ꯆꯛꯔꯒꯤ ꯁꯦꯛꯇꯔ ꯕꯦꯠ ꯑꯃꯅꯤ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: “ꯂꯥꯑꯣꯊꯣꯛꯄ ꯕꯦꯠ”꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →: ꯄꯦꯑꯥꯎꯠ ꯑꯃꯈꯛꯇ, ꯃꯥꯏꯊꯤꯕ ꯑꯃꯈꯛꯇ꯫

ꯑꯣꯔꯐꯦꯂꯦꯟ (ꯆꯤꯞ 5, ꯃꯁꯤꯡ 8)

1 ꯗ ꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞ 1 (35 ꯄꯤ), ꯁ꯭ꯞꯂꯤꯠ 6-9, 14-17, 17-20, 31-34 (17 ꯄꯤ)꯫ 1 ꯗ ꯊꯣꯛꯂꯕꯗꯤ: +35 − 4 = +31꯫ 17 ꯗ ꯊꯣꯛꯂꯕꯗꯤ (ꯁ꯭ꯞꯂꯤꯠ ꯑꯅꯤ): +34 − 3 = +31꯫ 6, 9, 14, 20, 31, 34 ꯗ ꯊꯣꯛꯂꯕꯗꯤ: +17 − 4 = +13꯫ ꯊꯣꯛꯇꯕꯗꯤ: −5꯫ EV = (31 + 31 + 6 × 13 − 29 × 5)/37 = (62 + 78 − 145)/37 = −5/37꯫

ꯌꯨꯝꯂꯣꯟꯅꯕ ꯕꯦꯠ ꯑꯃꯁꯨꯡ ꯖꯨ ꯖꯦꯔꯣ

ꯌꯨꯝꯂꯣꯟꯅꯕ ꯕꯦꯠꯕꯦꯠꯌꯨꯝꯂꯣꯟꯅꯕ ꯕꯦꯠꯆꯛꯔꯗ ꯃꯁꯤꯡ ꯑꯃꯥ ꯑꯃꯁꯨꯡ ꯃꯗꯨꯒꯤ ꯅꯥꯀꯜ ꯑꯅꯤꯃꯛꯇ ꯂꯩꯕ ꯄꯣꯀꯦꯠ ꯑꯅꯤ ꯑꯅꯤ, ꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞ ꯆꯤꯞ ꯃꯉꯥ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →: ꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞ ꯃꯉꯥ; ꯀꯔꯤꯒꯨꯝꯕ ꯑꯃꯗ ꯊꯣꯛꯂꯕꯗꯤ +35 − 4 = +31; EV = (5 × 31 − 32 × 5)/37 = (155 − 160)/37 = −5/37꯫ ꯖꯨ ꯖꯦꯔꯣꯐ꯭ꯔꯦꯟꯆ · ꯁꯦꯛꯇꯔꯖꯨ ꯖꯦꯔꯣ“ꯖꯤꯔꯣꯒꯤ ꯁꯥꯟꯅꯕ”: ꯖꯤꯔꯣꯒꯤ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯃꯅꯥꯛꯇ ꯂꯩꯕ ꯃꯁꯤꯡ ꯇꯔꯦꯠ (12, 35, 3, 26, 0, 32, 15), ꯆꯤꯞ ꯃꯔꯤꯅ ꯕꯦꯠ ꯊꯝꯃꯤ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ →: ꯁ꯭ꯞꯂꯤꯠ 0-3, 12-15, 32-35 ꯑꯃꯁꯨꯡ 26 ꯗ ꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞ ꯑꯃꯥ; 26 ꯗ ꯊꯣꯛꯂꯕꯗꯤ: +35 − 3 = +32; ꯁ꯭ꯞꯂꯤꯠ ꯊꯣꯛꯂꯕꯗꯤ: +17 − 3 = +14; EV = (32 + 6 × 14 − 30 × 4)/37 = (32 + 84 − 120)/37 = −4/37꯫

ꯀꯔꯤꯒꯨꯝꯕ ꯑꯃꯥ ꯊꯣꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕ, ꯀꯣꯜ ꯕꯦꯠꯁꯤꯡꯁ꯭ꯄꯤꯟꯒꯤ %
ꯖꯨ ꯖꯦꯔꯣ (7)
18.9%
ꯌꯨꯝꯂꯣꯟꯅꯕ ꯕꯦꯠ (5)
13.5%
ꯑꯣꯔꯐꯦꯂꯦꯟ (8)
21.6%
ꯇꯤꯌꯦꯌꯔ (12)
32.4%
ꯚꯣꯌꯥꯖꯦꯟ (17)
45.9%
ꯑꯍꯨꯝ ꯄꯨꯝꯅꯃꯛ (37)
100%
ꯁ꯭ꯄꯤꯟꯒꯤ %
050100%
ꯆꯤꯞ 20 ꯅ ꯄꯨꯝꯅꯃꯛ ꯌꯥꯎꯍꯜꯂꯕꯗꯤ ꯌꯨꯅꯤꯠ −2 ꯑꯃꯁꯨꯡ +16 ꯒꯤ ꯃꯔꯛꯇ ꯃꯍꯩ ꯑꯃꯥ ꯑꯃꯁꯨꯡ −20/37 ꯒꯤ EV ꯁꯣꯌꯗꯅ ꯐꯪꯏ꯫ ꯁꯣꯌꯗꯅ ꯐꯪꯕ ꯑꯁꯤꯒꯤ ꯃꯃꯜ ꯑꯁꯤꯁꯨ ꯑꯇꯩ ꯄꯨꯝꯅꯃꯛꯒꯨꯝꯅ 2.70% ꯆꯥꯡꯏ꯫

ꯖꯨ ꯖꯦꯔꯣ ꯔꯨꯂꯦꯠ ꯕꯦꯠ

ꯏꯂꯦꯛꯠꯔꯣꯅꯤꯛ ꯆꯛꯔ ꯑꯃꯗ

ꯕꯣꯂꯃꯦꯟ (2021) ꯅ ꯁꯟꯗꯣꯛꯅ ꯇꯥꯀꯄꯒꯤ ꯃꯇꯨꯡ ꯏꯟꯅ, IGT ꯒꯤ Roulette Evolution ꯅ ꯀꯣꯜ ꯕꯦꯠꯁꯤꯡ ꯑꯁꯤ ꯏꯂꯦꯛꯠꯔꯣꯅꯤꯛ ꯁꯤꯡꯒꯜ-ꯖꯤꯔꯣꯆꯛꯔꯖꯤꯔꯣꯆꯞ ꯃꯥꯟꯅꯕ, ꯗꯖꯟ ꯅꯠꯔꯒ ꯀꯂꯝ ꯕꯦꯠ ꯑꯃꯠꯇꯅ ꯀꯨꯞꯇꯕ ꯑꯁꯪꯕ ꯄꯣꯀꯦꯠ ꯑꯃꯈꯛꯇ; ꯍꯥꯎꯁ ꯑꯦꯖꯀꯤ ꯍꯧꯔꯀꯐꯝꯅꯤ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯁꯤꯡꯒꯜ ꯖꯤꯔꯣ, 0꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯆꯛꯔ ꯑꯃꯗ ꯄꯤꯔꯤ꯫ ꯃꯁꯤꯡ ꯊꯤꯕ ꯑꯗꯨ ꯍꯣꯡꯗꯦ: ꯃꯈꯣꯌ ꯈꯨꯗꯤꯡꯃꯛ ꯍꯧꯖꯤꯀꯁꯨ ꯆꯤꯞ ꯈꯨꯗꯤꯡꯗ −1/37 ꯑꯣꯏ꯫ ꯍꯣꯡꯂꯀꯄ ꯑꯗꯨꯗꯤ ꯁꯦꯛꯇꯔꯆꯛꯔꯁꯦꯛꯇꯔꯆꯛꯔꯗ ꯃꯔꯛ ꯂꯩꯇꯅ ꯃꯈꯥ ꯆꯠꯅꯅ ꯂꯩꯕ ꯄꯣꯀꯦꯠꯁꯤꯡꯒꯤ ꯁꯔꯨꯛ, ꯂꯦꯑꯥꯎꯠꯇ ꯂꯩꯕ ꯀꯥꯡꯂꯨꯞ ꯑꯃꯗꯒꯤ ꯇꯣꯉꯥꯟꯅ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯕꯦꯠꯁꯤꯡꯒꯤꯗꯃꯛ ꯁꯥꯟꯅꯔꯤꯕꯁꯤꯡꯅ ꯄꯤꯔꯤꯕ ꯋꯥꯐꯝ ꯑꯃꯈꯛꯇ ꯑꯗꯨꯅꯤ꯫ ꯑꯁꯦꯡꯕ ꯇꯦꯕꯜ ꯑꯃꯗ ꯈꯔꯅ ꯗꯤꯂꯔꯒꯤ ꯃꯤꯅꯤꯡ ꯑꯃꯁꯨꯡ ꯁ꯭ꯄꯤꯟꯒꯤ ꯊꯨꯅꯕ ꯑꯗꯨ ꯐꯅ ꯄꯥꯗꯨꯅ ꯕꯣꯜ ꯑꯗꯨ ꯆꯛꯔꯒꯤ ꯀꯗꯥꯏꯗ ꯆꯦꯟꯊꯔꯛꯀꯅꯤ ꯍꯥꯌꯕ ꯈꯟꯖꯤꯟꯕ ꯉꯝꯒꯅꯤ ꯍꯥꯌꯅ ꯊꯥꯖꯩ, ꯃꯁꯤꯕꯨ ꯍꯨꯏꯜ ꯀ꯭ꯂꯣꯀꯤꯡ ꯍꯥꯏ, ꯑꯃꯁꯨꯡ ꯀꯣꯜ ꯕꯦꯠ ꯑꯁꯤ ꯃꯐꯝ ꯑꯃꯗ ꯕꯦꯠ ꯊꯝꯅꯕ ꯃꯍꯧꯁꯥꯒꯤ ꯂꯝꯕꯤꯅꯤ꯫ ꯏꯂꯦꯛꯠꯔꯣꯅꯤꯛ ꯆꯛꯔ ꯑꯃꯗ ꯄꯥꯅꯕ ꯗꯤꯂꯔ ꯂꯩꯇꯦ, ꯑꯃꯁꯨꯡ ꯑꯁꯦꯡꯕ ꯇꯦꯕꯜꯗꯁꯨ ꯑꯋꯥꯠꯄ ꯂꯩꯔꯕ ꯋꯥꯐꯝ ꯑꯗꯨ ꯃꯐꯝ ꯑꯁꯤꯗꯗꯤ ꯂꯣꯏꯔꯦ꯫

ꯏꯂꯦꯛꯠꯔꯣꯅꯤꯛ ꯆꯛꯔ ꯑꯃꯗ ꯄꯥꯅꯕ ꯗꯤꯂꯔ ꯂꯩꯇꯦ, ꯑꯃꯁꯨꯡ ꯆꯛꯔꯒꯤ ꯃꯐꯝ ꯑꯃꯗ ꯕꯦꯠ ꯊꯝꯅꯕ ꯋꯥꯐꯝ ꯑꯗꯨꯁꯨ ꯃꯗꯨꯒꯥ ꯂꯣꯌꯅꯅ ꯂꯣꯏꯔꯦ꯫

ꯏꯂꯦꯛꯇ꯭ꯔꯣꯅꯤꯛ ꯔꯨꯂꯦꯠ ꯇꯔꯃꯤꯅꯦꯜꯁꯤꯡ

ꯇꯃꯖꯕ ꯋꯥꯐꯝ

ꯀꯣꯜ ꯕꯦꯠꯁꯤꯡ ꯑꯁꯤ ꯂꯥꯏꯕꯒꯤꯗꯃꯛꯅꯤ, ꯃꯦꯊꯃꯦꯇꯤꯛꯁ ꯅꯠꯇꯦ꯫ ꯃꯈꯣꯌ ꯑꯁꯤ ꯆꯛꯔꯒꯤ ꯁꯦꯛꯇꯔ ꯑꯃꯗ ꯕꯦꯠ ꯊꯝꯅꯕ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯊꯨꯕ ꯂꯝꯕꯤꯅꯤ ꯑꯃꯁꯨꯡ ꯂꯥꯑꯣꯊꯣꯛꯄ ꯑꯃꯈꯛꯇꯗ ꯃꯁꯤ ꯇꯧꯕ ꯉꯝꯕ ꯂꯝꯕꯤ ꯑꯃꯈꯛꯇꯅꯤ꯫ ꯃꯈꯣꯌꯒꯤ ꯐꯪꯒꯗꯕ ꯃꯃꯜꯃꯦꯊꯃꯦꯇꯤꯛꯁꯐꯪꯒꯗꯕ ꯃꯃꯜꯃꯇꯝ ꯁꯥꯡꯅ ꯌꯦꯡꯂꯕꯗ ꯕꯦꯠ ꯑꯃꯒꯤ ꯑꯦꯚꯔꯦꯖ ꯃꯍꯩ꯫ ꯃꯔꯨꯑꯣꯏꯕ ꯌꯨꯔꯣꯄꯤꯌꯟ ꯕꯦꯠ ꯈꯨꯗꯤꯡꯗ ꯊꯝꯂꯕ ꯁꯦꯜꯒꯤ −1/37꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯁꯤ ꯆꯤꯞ ꯈꯨꯗꯤꯡꯗ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯃꯌꯥꯝ ꯑꯣꯏꯕ ꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞꯀꯥ ꯆꯞ ꯃꯥꯟꯅꯩ, ꯑꯃꯁꯨꯡ ꯄꯦꯑꯥꯎꯠ ꯈꯦꯠꯅꯕ ꯑꯁꯤ ꯍꯤꯁꯥꯕ ꯊꯝꯕ ꯈꯛꯇꯅꯤ, ꯑꯦꯖ ꯅꯠꯇꯦ꯫

ꯐꯣꯔꯃꯨꯂꯥ

EV(ꯀꯣꯜ ꯕꯦꯠ) = Σ EV(ꯆꯤꯞꯁꯤꯡ) = −(ꯆꯤꯞꯁꯤꯡ)/37
ꯊꯣꯀꯄꯥ ꯃꯇꯃꯗ ꯅꯦꯠ = ꯃꯥꯏꯄꯥꯛꯂꯕ ꯆꯤꯞꯀꯤ ꯄꯦꯑꯥꯎꯠ − ꯃꯥꯏꯊꯤꯔꯕ ꯆꯤꯞꯁꯤꯡ

ꯋꯥꯍꯪꯁꯤꯡ

ꯀꯣꯜ ꯕꯦꯠ ꯑꯃꯃꯛ ꯍꯦꯟꯅ ꯃꯃꯜ ꯐꯕꯔꯥ?

ꯅꯠꯇꯦ꯫ ꯃꯈꯣꯌ ꯈꯨꯗꯤꯡꯃꯛ ꯆꯤꯞ ꯈꯨꯗꯤꯡꯗ −1/37 ꯑꯣꯏ꯫ ꯃꯈꯣꯌ ꯌꯥꯎꯕ ꯃꯁꯤꯡ ꯑꯃꯁꯨꯡ ꯄꯦꯑꯥꯎꯠꯀꯤ ꯃꯑꯣꯡꯗ ꯈꯛꯇ ꯈꯦꯠꯅꯩ꯫

ꯑꯣꯔꯐꯦꯂꯦꯅꯅ 17 ꯗ +31 ꯀꯔꯤꯒꯤ ꯄꯤꯕꯒꯦ?

ꯁ꯭ꯞꯂꯤꯠ ꯑꯅꯤꯗ 17 ꯌꯥꯎꯏ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯊꯣꯀꯄꯥ ꯃꯇꯃꯗ 17 ꯑꯃꯨꯛ ꯑꯅꯤ ꯄꯤ ꯑꯃꯁꯨꯡ ꯆꯤꯞ ꯑꯍꯨꯝ ꯈꯛꯇꯃꯛ ꯃꯥꯡꯏ꯫

ꯑꯩꯅ ꯚꯣꯌꯥꯖꯦꯟꯗ ꯃꯐꯝ ꯈꯨꯗꯤꯡꯗ ꯆꯤꯞ 2 ꯊꯝꯂꯕꯗꯤ ꯀꯔꯤ ꯑꯣꯏꯒꯅꯤ?

ꯆꯤꯞ 18, ꯄꯦꯑꯥꯎꯠ ꯈꯨꯗꯤꯡꯃꯛ ꯑꯅꯤ ꯊꯣꯛ, EV −18/37꯫ ꯆꯥꯡ ꯍꯦꯅꯒꯠꯍꯟꯕꯅ ꯀꯔꯤꯒꯨꯝꯕ ꯑꯃꯠꯇ ꯍꯣꯡꯗꯣꯛꯇꯦ꯫

ꯃꯦꯊꯃꯦꯇꯤꯛꯁꯀꯥ ꯁꯥꯟꯅꯕ

ꯃꯁꯤꯁꯤꯡ ꯑꯍꯥꯅꯕꯗ ꯅꯍꯥꯛ ꯃꯁꯥꯃꯛꯅ ꯍꯣꯠꯅꯕꯤꯌꯨ꯫ ꯄꯥꯎꯈꯨꯝ ꯈꯨꯗꯤꯡꯃꯛ ꯊꯨꯡꯗꯨꯅ ꯊꯝꯂꯤ; ꯁꯦꯝ ꯁꯥꯔꯕ ꯃꯇꯃꯗ ꯍꯥꯡꯗꯣꯛꯄꯤꯌꯨ꯫

  1. ꯏꯂꯦꯛꯠꯔꯣꯅꯤꯛ ꯆꯛꯔ ꯑꯃꯅ ꯐ꯭ꯔꯦꯟꯆ ꯀꯣꯜ ꯕꯦꯠꯁꯤꯡꯇꯦꯕꯜꯀꯣꯜ ꯕꯦꯠꯈꯨꯠꯅ ꯊꯝꯗꯅ ꯗꯤꯂꯔꯗ ꯂꯥꯑꯣꯊꯣꯛꯄ ꯕꯦꯠ, ꯌꯥꯝꯅ ꯚꯣꯌꯥꯖꯦꯟ ꯅꯠꯔꯒ ꯇꯤꯌꯦꯌꯔꯒꯨꯝꯕ ꯆꯛꯔꯒꯤ ꯁꯦꯛꯇꯔ ꯕꯦꯠ ꯑꯃꯅꯤ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: “ꯂꯥꯑꯣꯊꯣꯛꯄ ꯕꯦꯠ”꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯄꯤ: ꯇꯤꯌꯦꯌꯔ (ꯆꯤꯞꯁꯦꯜꯆꯤꯞꯂꯦꯞꯂꯕ ꯁꯦꯜꯒꯤ ꯃꯃꯜ ꯇꯥꯛꯄ ꯇꯣꯀꯟ, ꯕꯦꯠ ꯊꯝꯅꯕ ꯂꯦꯑꯥꯎꯠꯇ ꯊꯝꯃꯤ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯆꯦꯛ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → 6), ꯖꯨ ꯖꯦꯔꯣꯐ꯭ꯔꯦꯟꯆ · ꯁꯦꯛꯇꯔꯖꯨ ꯖꯦꯔꯣ“ꯖꯤꯔꯣꯒꯤ ꯁꯥꯟꯅꯕ”: ꯖꯤꯔꯣꯒꯤ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯃꯅꯥꯛꯇ ꯂꯩꯕ ꯃꯁꯤꯡ ꯇꯔꯦꯠ (12, 35, 3, 26, 0, 32, 15), ꯆꯤꯞ ꯃꯔꯤꯅ ꯕꯦꯠ ꯊꯝꯃꯤ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → (4), ꯑꯣꯔꯐꯦꯂꯦꯟꯐ꯭ꯔꯦꯟꯆ · ꯁꯦꯛꯇꯔꯑꯣꯔꯐꯦꯂꯦꯟ“ꯃꯆꯥ ꯅꯨꯄꯥꯡꯕꯁꯤꯡ”: ꯚꯣꯌꯥꯖꯦꯟ ꯑꯃꯁꯨꯡ ꯇꯤꯌꯦꯌꯔꯅ ꯀꯨꯞꯇꯨꯅ ꯂꯩꯔꯤꯕ ꯃꯁꯤꯡ ꯅꯤꯄꯥꯟ: 17, 34, 6 ꯑꯃꯁꯨꯡ 1, 20, 14, 31, 9꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → (5), ꯚꯣꯌꯥꯖꯦꯟ (9) ꯑꯃꯁꯨꯡ ꯌꯨꯝꯂꯣꯟꯅꯕ ꯕꯦꯠꯕꯦꯠꯌꯨꯝꯂꯣꯟꯅꯕ ꯕꯦꯠꯆꯛꯔꯗ ꯃꯁꯤꯡ ꯑꯃꯥ ꯑꯃꯁꯨꯡ ꯃꯗꯨꯒꯤ ꯅꯥꯀꯜ ꯑꯅꯤꯃꯛꯇ ꯂꯩꯕ ꯄꯣꯀꯦꯠ ꯑꯅꯤ ꯑꯅꯤ, ꯁ꯭ꯇ꯭ꯔꯦꯠ-ꯑꯞ ꯆꯤꯞ ꯃꯉꯥ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → (5)꯫ ꯃꯈꯣꯌ ꯈꯨꯗꯤꯡꯃꯛꯅ ꯀꯌꯥ ꯌꯥꯝꯅ ꯀꯔꯤꯒꯨꯝꯕ ꯃꯥꯏꯄꯥꯛꯀꯅꯤ, ꯑꯃꯁꯨꯡ ꯃꯃꯜ ꯀꯌꯥ ꯂꯩꯕꯒꯦ?

    ꯄꯥꯎꯈꯨꯝ ꯎꯠꯄ

    ꯄꯥꯎꯈꯨꯝ ꯈꯨꯗꯤꯡꯃꯛꯀꯤ ꯃꯃꯜ 2.70% ꯂꯩ꯫ ꯃꯈꯣꯌꯅ ꯁ꯭ꯄꯤꯟ 37 ꯒꯤ ꯃꯅꯨꯡꯗ 12, 7, 8, 17 ꯑꯃꯁꯨꯡ 5 ꯗ ꯀꯔꯤꯒꯨꯝꯕ ꯃꯥꯏꯄꯥꯛꯏ꯫

    ꯃꯃꯜ ꯑꯗꯨ ꯂꯃꯥꯏ ꯑꯁꯤꯒꯤ ꯅꯤꯌꯝꯗꯒꯤ ꯂꯥꯀꯏ: ꯆꯤꯞ ꯈꯨꯗꯤꯡꯃꯛ ꯃꯁꯥꯒꯤ 1/37 ꯃꯥꯡꯕ ꯃꯍꯧꯁꯥꯒꯤ ꯕꯦꯠ ꯑꯃꯅꯤ, ꯑꯃꯁꯨꯡ ꯐꯪꯒꯗꯕ ꯃꯃꯜꯁꯤꯡꯃꯦꯊꯃꯦꯇꯤꯛꯁꯐꯪꯒꯗꯕ ꯃꯃꯜꯃꯇꯝ ꯁꯥꯡꯅ ꯌꯦꯡꯂꯕꯗ ꯕꯦꯠ ꯑꯃꯒꯤ ꯑꯦꯚꯔꯦꯖ ꯃꯍꯩ꯫ ꯃꯔꯨꯑꯣꯏꯕ ꯌꯨꯔꯣꯄꯤꯌꯟ ꯕꯦꯠ ꯈꯨꯗꯤꯡꯗ ꯊꯝꯂꯕ ꯁꯦꯜꯒꯤ −1/37꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯄꯨꯟꯁꯤꯟꯕ ꯌꯥꯏ꯫

    ꯀꯔꯤꯒꯨꯝꯕ ꯃꯥꯏꯄꯥꯛꯄꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕ ꯑꯁꯤ ꯕꯦꯠ ꯑꯗꯨꯅ ꯀꯨꯞꯄ ꯄꯣꯀꯦꯠꯀꯤꯈꯨꯠꯂꯥꯏꯄꯣꯀꯦꯠꯔꯣꯇꯔꯗ ꯂꯩꯕ ꯃꯁꯤꯡ ꯏꯔꯕ ꯀꯣꯠ 37 ꯒꯤ ꯃꯅꯨꯡꯗ ꯑꯃꯥ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯁ꯭ꯂꯣꯠ, ꯀꯞ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯃꯁꯤꯡꯅꯤ, 37 ꯒꯤ ꯃꯅꯨꯡꯗ꯫ ꯇꯤꯌꯦꯌꯔꯅ 12 ꯀꯨꯞꯏ, ꯖꯨ ꯖꯦꯔꯣꯅ 7, ꯑꯣꯔꯐꯦꯂꯦꯟꯅ 8 ꯑꯃꯁꯨꯡ ꯚꯣꯌꯥꯖꯦꯟꯅ 17꯫ ꯌꯨꯝꯂꯣꯟꯅꯕ ꯕꯦꯠꯅ ꯃꯁꯤꯡ ꯑꯃꯥ ꯑꯃꯁꯨꯡ ꯆꯛꯔꯗ ꯃꯗꯨꯒꯤ ꯃꯥꯌꯀꯩ ꯑꯃꯃꯃꯗ ꯄꯣꯀꯦꯠ ꯑꯅꯤ ꯀꯨꯞꯏ: 5꯫

    ꯕꯣꯂꯃꯦꯟ (2021) ꯅ ꯖꯨ ꯖꯦꯔꯣ ꯑꯁꯤ 26 ꯗ ꯆꯤꯞ ꯑꯃꯒꯤ ꯃꯍꯨꯠꯇ ꯆꯤꯞ ꯃꯔꯤꯒꯥ ꯂꯣꯌꯅꯅ ꯐꯣꯡꯗꯣꯀꯏ꯫ ꯃꯁꯤꯅ ꯆꯤꯞ 7 ꯒꯤ ꯕꯦꯠ ꯑꯃꯥ ꯁꯦꯝꯃꯤ ꯑꯃꯁꯨꯡ ꯃꯁꯤꯒꯤ ꯄꯦꯑꯥꯎꯠꯁꯤꯡꯁꯦꯜꯄꯦꯑꯥꯎꯠꯃꯥꯏꯄꯥꯛꯄ ꯕꯦꯠ ꯑꯃꯅ ꯍꯜꯂꯛꯄ ꯁꯦꯜ, ꯍꯜꯂꯀꯄ ꯊꯝꯂꯕ ꯁꯦꯜꯒꯤ ꯃꯊꯛꯇ “X ꯗꯒꯤ 1” ꯍꯥꯌꯅ ꯍꯥꯌꯏ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯍꯣꯡꯗꯣꯀꯏ, ꯃꯃꯜ ꯑꯗꯨ ꯍꯣꯡꯗꯣꯀꯄꯗꯦ: ꯍꯧꯖꯤꯀꯁꯨ 2.70%꯫

    ꯕꯦꯠꯆꯤꯞꯀꯨꯞꯄ ꯄꯣꯀꯦꯠꯀꯔꯤꯒꯨꯝꯕ ꯃꯥꯏꯄꯥꯛꯄꯍꯥꯎꯁ ꯑꯦꯖ
    ꯇꯤꯌꯦꯌꯔ61232.4%2.70%
    ꯖꯨ ꯖꯦꯔꯣ4718.9%2.70%
    ꯑꯣꯔꯐꯦꯂꯦꯟ5821.6%2.70%
    ꯚꯣꯌꯥꯖꯦꯟ91745.9%2.70%
    ꯌꯨꯝꯂꯣꯟꯅꯕ ꯕꯦꯠ5513.5%2.70%

ꯅꯣꯛꯅꯕꯒꯤ ꯀꯃꯤꯛ

ꯆꯤꯞ ꯃꯥꯄꯟ, ꯀꯨꯟꯊ꯭ꯔꯥꯇꯔꯦꯠꯇ ꯃꯥꯄꯟ꯫ ꯃꯁꯤꯡ ꯊꯤꯕ ꯑꯗꯨ ꯆꯤꯞꯁꯤꯡ ꯑꯗꯨꯅꯤ꯫

ꯆꯤꯞ ꯃꯥꯄꯟ, ꯀꯨꯟꯊ꯭ꯔꯥꯇꯔꯦꯠꯇ ꯃꯥꯄꯟ꯫ ꯃꯁꯤꯡ ꯊꯤꯕ ꯑꯗꯨ ꯆꯤꯞꯁꯤꯡ ꯑꯗꯨꯅꯤ꯫

ꯍꯧꯔꯛꯐꯃꯁꯤꯡ

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010꯫ ꯆꯦꯞꯇꯔ 13, ꯔꯨꯂꯦꯠ꯫
  2. Wykes, A. The Complete Illustrated Guide to Gambling. Doubleday, 1964.
  3. Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette. CRC Press, 2021꯫ ꯆꯦꯞꯇꯔ 2, ꯔꯨꯂꯦꯠ꯫
ꯌꯦꯡꯁꯤꯅꯈꯤꯕ 2026-09-28ꯃꯣꯗꯦꯜ: ꯌꯨꯔꯣꯄꯤꯌꯟ, ꯁꯤꯡꯒꯜ ꯖꯤꯔꯣꯃꯦꯊꯗꯣꯂꯣꯖꯤ ↗ꯍꯧꯔꯛꯐꯃꯁꯤꯡ ↗