ꯑꯣꯁ꯭ꯀꯔꯒꯤ ꯒ꯭ꯔꯥꯏꯟꯗ ꯔꯨꯂꯦꯠ ꯊꯧꯔꯥꯡ

ꯑꯣꯁ꯭ꯀꯔꯒꯤ ꯒ꯭ꯔꯥꯏꯟꯗ ꯔꯨꯂꯦꯠ ꯁꯤꯁ꯭ꯇꯦꯝꯅ ꯀꯔꯝꯅ ꯊꯕꯛ ꯇꯧꯕꯒꯦ?

ꯌꯨꯅꯤꯠꯁꯦꯜꯌꯨꯅꯤꯠꯁꯤꯁ꯭ꯇꯦꯝ ꯅꯠꯔꯒ ꯁꯥꯟꯅꯔꯤꯕ ꯑꯃꯅ ꯁꯤꯖꯤꯟꯅꯕ ꯃꯔꯨꯑꯣꯏꯕ ꯊꯝꯂꯕ ꯁꯦꯜ꯫ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯅꯁꯤꯡ ꯌꯨꯅꯤꯠꯇ ꯁꯟꯗꯣꯛꯂꯤ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯃꯈꯣꯌ ꯀꯔꯤꯒꯨꯝꯕ ꯇꯦꯕꯜꯗ ꯆꯠꯂꯤ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯗ ꯁꯥꯏꯀꯜ ꯑꯃꯥ ꯍꯧꯕꯤꯌꯨ꯫ ꯃꯥꯏꯊꯤꯔꯕꯗ ꯑꯗꯨꯃꯛ ꯑꯃꯨꯛ ꯍꯟꯅꯥ ꯊꯝꯂꯣ꯫ ꯃꯥꯏꯄꯥꯛꯂꯕꯗ ꯃꯊꯪꯒꯤ ꯕꯦꯠ ꯌꯨꯅꯤꯠ ꯑꯃꯥ ꯍꯦꯅꯒꯠꯍꯜꯂꯣ, ꯑꯗꯨꯕꯨ ꯁꯥꯏꯀꯜ ꯑꯗꯨ ꯆꯞꯆꯥꯅ +1 ꯌꯨꯅꯤꯠ ꯑꯣꯏꯍꯟꯅꯕ ꯃꯊꯧ ꯇꯥꯕꯗꯒꯤ ꯀꯩꯗꯧꯉꯩꯗꯁꯨ ꯍꯦꯟꯅꯥ ꯊꯝꯒꯅꯨ꯫ ꯁꯥꯏꯀꯜ ꯑꯗꯨ +1 ꯌꯧꯔꯕꯗ ꯌꯨꯅꯤꯠ ꯑꯃꯗ ꯑꯅꯧꯕ ꯑꯃꯥ ꯍꯧꯕꯤꯌꯨ꯫ ꯃꯃꯤꯡ ꯑꯁꯤ ꯑꯆꯨꯝꯕꯅꯤ: ꯃꯁꯤꯅ ꯑꯃꯨꯛꯇ ꯌꯨꯅꯤꯠ ꯑꯃꯥ ꯈꯛ ꯇꯞꯅ ꯍꯩꯊꯣꯀꯏ꯫ ꯑꯦꯂꯟ ꯋꯤꯂꯁꯟ (Allan Wilson) ꯅ 1965 ꯇ ꯃꯍꯥꯛꯀꯤ Casino Gambler’s Guide ꯇ ꯃꯁꯤ ꯁꯟꯗꯣꯛꯅ ꯏꯈꯤ, ꯃꯍꯥꯛꯅ ꯑꯣꯁ꯭ꯀꯔ ꯍꯥꯌꯅ ꯈꯛꯇ ꯈꯉꯂꯝꯕ ꯗꯥꯏꯁ ꯁꯥꯟꯅꯔꯤꯕ ꯑꯃꯗꯒꯤ꯫

ꯁꯥꯏꯀꯜ ꯑꯃꯥ ꯀꯔꯝꯕ ꯃꯑꯣꯡꯗ ꯎꯕꯒꯦ?

L L L W W W: ꯊꯝꯂꯕ ꯁꯦꯜꯁꯤꯡ 1, 1, 1, 1, 2, 1꯫ −3 + 1 + 2 = 0 ꯒꯤ ꯃꯇꯨꯡꯗ ꯅꯤꯌꯝꯅ ꯑꯔꯣꯏꯕ ꯕꯦꯠ ꯑꯗꯨ +1 ꯌꯧꯅꯕ ꯃꯊꯧ ꯇꯥꯕ 1 (3 ꯅꯠꯇꯦ) ꯗ ꯉꯝꯈꯩ ꯊꯝꯃꯤ꯫ ꯃꯍꯩꯁꯤꯡ −1 −1 −1 +1 +2 +1 = +1꯫ ꯃꯥꯏꯄꯥꯛꯄ ꯑꯍꯨꯝ ꯑꯃꯁꯨꯡ ꯃꯥꯏꯊꯤꯕ ꯑꯍꯨꯃꯒꯥ ꯂꯣꯌꯅꯅ ꯁ꯭ꯄꯤꯟ ꯇꯔꯨꯛꯀꯤ ꯃꯇꯨꯡꯗ ꯁꯥꯏꯀꯜ ꯂꯣꯏꯔꯦ꯫

ꯁꯦꯁꯟ ꯑꯃꯥ ꯀꯔꯝꯕ ꯃꯑꯣꯡꯗ ꯎꯕꯒꯦ?

ꯊꯝꯂꯕ ꯁꯦꯜꯁꯤꯡ ꯃꯥꯏꯄꯥꯛꯄꯒꯤ ꯃꯇꯨꯡꯗ ꯈꯛꯇ ꯀꯥꯏ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯃꯥꯏꯊꯤꯕꯒꯤ ꯁ꯭ꯇ꯭ꯔꯤꯛ ꯑꯃꯅ ꯊꯝꯂꯕ ꯁꯦꯜ ꯋꯥꯡꯈꯠꯍꯟꯗꯦ꯫ ꯃꯥꯏꯊꯤꯔꯤꯕ ꯃꯇꯃꯗ ꯁꯥꯏꯀꯂꯁꯤꯡ ꯁꯥꯡꯂꯛꯂꯤ ꯈꯛꯇꯅꯤ: −8 ꯐꯥꯑꯣꯕ ꯇꯥꯕ ꯁꯥꯏꯀꯜ ꯑꯃꯅ ꯊꯣꯔꯛꯅꯕ ꯀꯥꯛꯂꯤꯕ ꯊꯝꯂꯕ ꯁꯦꯜꯁꯤꯡꯗ ꯃꯥꯏꯄꯥꯛꯄ ꯈꯔꯥ ꯃꯊꯧ ꯇꯥꯏ, ꯑꯃꯁꯨꯡ ꯊꯝꯂꯕ ꯁꯦꯜꯁꯤꯡ ꯀꯩꯗꯧꯉꯩꯗꯁꯨ ꯌꯥꯝꯅ ꯋꯥꯡꯅ ꯆꯣꯡꯊꯗꯦ꯫ ꯃꯍꯩ ꯑꯗꯨꯗꯤ ꯊꯝꯂꯕ ꯁꯦꯜꯗ ꯈꯔꯥ ꯃꯊꯛꯇ ꯆꯦꯟꯊꯕ ꯑꯃꯁꯨꯡ ꯃꯔꯛ ꯃꯔꯛꯇ ꯁꯥꯡꯂꯕ ꯍꯩꯊꯣꯀꯄꯒꯤ ꯁꯥꯏꯀꯂꯁꯤꯡ ꯂꯩꯕ ꯐ꯭ꯂꯦꯠ ꯕꯦꯇꯤꯡꯊꯧꯔꯥꯡꯐ꯭ꯂꯦꯠ ꯕꯦꯇꯤꯡꯁ꯭ꯄꯤꯟ ꯈꯨꯗꯤꯡꯗ ꯁꯦꯜ ꯃꯥꯟꯅꯕ ꯊꯝꯕ꯫ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯟ ꯈꯨꯗꯤꯡꯃꯛ ꯆꯥꯡꯗꯝꯅꯕ ꯃꯔꯨꯑꯣꯏꯕ ꯃꯈꯥꯌꯣꯜꯅꯤ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯒꯨꯝꯕ ꯁꯦꯁꯟ ꯑꯃꯅꯤ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯃꯃꯤꯡ ꯑꯁꯤ ꯄꯤꯈꯤ꯫

ꯑꯣꯁ꯭ꯀꯔꯒꯤ ꯒ꯭ꯔꯥꯏꯟꯗꯅ ꯊꯕꯛ ꯇꯧꯕ꯭ꯔꯥ?

ꯇꯧꯗꯦ꯫ ꯕꯦꯠ ꯈꯨꯗꯤꯡꯃꯛꯅ ꯑꯦꯚꯔꯦꯖꯗ ꯃꯁꯥꯒꯤ ꯊꯝꯂꯕ ꯁꯦꯜꯒꯤ 1/37 ꯃꯥꯡꯏ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯁꯥꯏꯀꯜ ꯑꯃꯅ ꯃꯗꯨꯗ ꯊꯝꯂꯕ ꯄꯨꯝꯅꯃꯛꯀꯤ 1/37 ꯃꯥꯡꯏ꯫ ꯃꯥꯏꯊꯤꯔꯤꯕ ꯃꯇꯃꯗ ꯊꯝꯂꯕ ꯁꯦꯜꯁꯤꯡ ꯅꯦꯝꯅ ꯂꯩꯕꯅ, ꯁ꯭ꯄꯤꯟ ꯈꯨꯗꯤꯡꯒꯤ ꯇꯔꯅꯑꯣꯚꯔꯁꯦꯜꯇꯔꯅꯑꯣꯚꯔꯁꯦꯁꯟ ꯅꯠꯔꯒ ꯃꯇꯝ ꯑꯃꯒꯤ ꯃꯅꯨꯡꯗ ꯕꯦꯠ ꯊꯝꯂꯕ ꯁꯦꯜ ꯄꯨꯝꯅꯃꯛ, ꯑꯃꯨꯛ ꯍꯟꯅꯥ ꯊꯝꯂꯕ ꯃꯥꯏꯄꯥꯛꯇꯨꯅ ꯐꯪꯂꯕ ꯁꯦꯜꯁꯨ ꯌꯥꯎꯅ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯍꯦꯟꯗꯜ, ꯑꯦꯛꯁꯟ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯐ꯭ꯂꯦꯠ ꯕꯦꯇꯤꯡꯗꯒꯤ ꯈꯔꯥ ꯈꯛ ꯍꯦꯟꯅꯥ ꯋꯥꯡꯏ, ꯑꯃꯁꯨꯡ ꯁꯦꯁꯟ ꯈꯨꯗꯤꯡꯒꯤ ꯃꯥꯡꯒꯗꯕ ꯁꯦꯜꯃꯦꯊꯃꯦꯇꯤꯛꯁꯃꯥꯡꯒꯗꯕ ꯁꯦꯜꯐꯪꯒꯗꯕ ꯃꯃꯂꯕꯨ ꯕꯦꯠ ꯊꯝꯂꯕ ꯁꯦꯜ ꯄꯨꯝꯅꯃꯛꯅ ꯃꯅꯥꯡꯕ; ꯁꯦꯁꯟ ꯅꯠꯔꯒ ꯃꯇꯝ ꯑꯃꯒꯤ ꯃꯅꯨꯡꯗ ꯃꯥꯡꯕ ꯑꯦꯚꯔꯦꯖ ꯁꯦꯜ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯃꯗꯨꯒꯥ ꯆꯥꯅꯕ ꯑꯣꯏꯅ ꯐ꯭ꯂꯦꯠꯇꯒꯤ ꯈꯔꯥ ꯍꯦꯟꯅꯥ ꯋꯥꯡꯏ꯫ ꯃꯇꯝ ꯌꯥꯝꯅ ꯁꯤꯖꯤꯟꯅꯕ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯅꯁꯤꯡꯒꯤꯊꯧꯔꯥꯡꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯟꯃꯃꯥꯡꯒꯤ ꯃꯍꯩꯁꯤꯡꯒꯤ ꯃꯈꯥꯗ ꯊꯝꯂꯕ ꯁꯦꯜ ꯍꯣꯡꯍꯟꯕ ꯅꯤꯌꯝ ꯀꯔꯤꯒꯨꯝꯕ꯫ ꯅꯦꯒꯦꯇꯤꯕ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯅꯁꯤꯡꯅ ꯃꯥꯏꯊꯤꯔꯕꯥ ꯃꯇꯨꯡꯗ ꯍꯦꯅꯒꯠꯍꯜꯂꯤ, ꯄꯣꯖꯤꯇꯤꯕꯁꯤꯡꯅ ꯃꯥꯏꯄꯥꯛꯂꯕꯥ ꯃꯇꯨꯡꯗ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯃꯅꯨꯡꯗ ꯃꯃꯂꯗ ꯐ꯭ꯂꯦꯠ ꯕꯦꯇꯤꯡꯒꯥ ꯈ꯭ꯕꯥꯏꯗꯒꯤ ꯅꯛꯄ ꯑꯗꯨ ꯃꯁꯤꯅꯤ, ꯃꯁꯤ ꯈꯔꯥ ꯈꯛꯇꯒꯤ ꯊꯥꯒꯠꯄꯅꯤ ꯑꯗꯨꯕꯨ ꯑꯆꯨꯝꯕꯅꯤ꯫

ꯀꯅꯥꯅ ꯃꯁꯤ ꯈꯅꯕꯒꯦ, ꯑꯃꯁꯨꯡ ꯀꯔꯤꯒꯤꯅꯣ?

ꯁꯦꯃꯖꯤꯟ ꯁꯥꯖꯤꯅꯕ ꯑꯃꯥ ꯄꯥꯝꯕ, ꯆꯤꯡꯒꯤ ꯃꯊꯛ ꯄꯥꯝꯗꯕ ꯑꯃꯁꯨꯡ ꯁꯥꯏꯀꯜ ꯈꯨꯗꯤꯡꯗ +1 ꯌꯨꯅꯤꯠꯇ ꯅꯨꯡꯉꯥꯏꯕ ꯁꯥꯟꯅꯔꯤꯕꯁꯤꯡ꯫ ꯃꯁꯤꯅ ꯁꯦꯁꯟ ꯌꯥꯝꯅꯥ ꯃꯥꯏꯄꯥꯛꯄꯒꯤ ꯃꯥꯔꯇꯤꯟꯒꯦꯜꯒꯤꯊꯧꯔꯥꯡꯃꯥꯔꯇꯤꯟꯒꯦꯜꯃꯥꯏꯊꯤꯕ ꯈꯨꯗꯤꯡꯒꯤ ꯃꯇꯨꯡꯗ ꯕꯦꯠ ꯑꯗꯨ ꯑꯅꯤ ꯊꯥꯛ ꯍꯦꯅꯒꯠꯍꯟꯕ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯟ꯫ ꯃꯁꯤꯅ ꯀꯔꯤ ꯇꯧꯕꯒꯦ ꯑꯃꯁꯨꯡ ꯀꯔꯤ ꯇꯧꯗꯕꯒꯦ ꯍꯥꯌꯕ ꯊꯧꯔꯥꯡꯒꯤ ꯁꯦꯛꯁꯅꯗ ꯌꯦꯡꯕꯤꯌꯨ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯐꯥꯑꯣꯕ ꯑꯗꯨ ꯄꯤꯔꯣꯏ, ꯃꯔꯃꯗꯤ ꯁꯥꯡꯂꯕ ꯁꯥꯏꯀꯂꯁꯤꯡ ꯃꯇꯝ ꯌꯥꯝꯅꯥ ꯁꯦꯁꯟ ꯑꯃꯒꯤ ꯃꯅꯨꯡꯗ ꯂꯣꯏꯗꯦ꯫ ꯃꯁꯤꯅ ꯃꯥꯔꯇꯤꯟꯒꯦꯜꯒꯤ ꯆꯤꯡꯒꯤ ꯃꯊꯛ ꯑꯗꯨꯁꯨ ꯄꯨꯊꯣꯛꯂꯣꯏ꯫

ꯁꯤꯃꯨꯂꯦꯇꯔ · ꯑꯣꯁ꯭ꯀꯔꯒꯤ ꯒ꯭ꯔꯥꯏꯟꯗ

$1,000ꯒꯤ ꯕꯦꯡꯀꯔꯣꯜꯗꯒꯤ ꯍꯧꯔꯒꯥ ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠꯁꯤꯡꯒꯤ ꯁꯦꯁꯟ 2,000꯫

ꯍꯧꯔꯛꯐꯃꯒꯤ ꯕꯦꯠ $10 · ꯇꯦꯕꯜꯒꯤ ꯉꯝꯈꯩ $500 · ꯁꯦꯁꯟ ꯈꯨꯗꯤꯡꯗ ꯁ꯭ꯄꯤꯟ 100

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