ᱟᱢᱮᱨᱤᱠᱟᱱ ᱨᱩᱞᱮᱴ ᱪᱟᱠᱟ ᱟᱨ ᱱᱤᱭᱚᱢ
ᱯᱮ ᱜᱮᱞ ᱤᱨᱟᱹᱞ ᱠᱷᱟᱱᱟ, 0 ᱟᱨ 00, 5.26%᱾ ᱢᱤᱫ ᱞᱮᱠᱟᱱ ᱵᱷᱩᱜᱛᱟᱱ, ᱦᱟᱨᱟᱣ ᱞᱟᱹᱜᱤᱫ ᱟᱨᱦᱚᱸ ᱢᱤᱫ ᱦᱚᱨ᱾
ᱰᱚᱵᱚᱞ ᱡᱤᱨᱚ ᱪᱟᱠᱟ ᱫᱚ ᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱨᱮ ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱪᱟᱠᱟ ᱞᱮᱠᱟ ᱜᱮ ᱵᱷᱩᱜᱛᱟᱱ ᱮᱫᱟ, ᱚᱱᱟᱛᱮ ᱵᱟᱹᱲᱛᱤ ᱠᱷᱟᱱᱟ ᱫᱚ ᱠᱷᱟᱹᱞᱤ ᱠᱷᱚᱨᱚᱪ ᱜᱮ ᱠᱟᱱᱟ: ᱥᱴᱮᱱᱰᱟᱨᱰ ᱵᱟᱡᱤ ᱨᱮ 5.26%, ᱢᱚᱬᱮ ᱮᱞ ᱵᱟᱥᱠᱮᱴᱵᱟᱡᱤᱵᱟᱥᱠᱮᱴᱥᱤᱝᱜᱚᱞ ᱡᱤᱨᱚ ᱪᱟᱠᱟ ᱨᱮ: ᱢᱤᱫ ᱪᱤᱯ ᱛᱮ 0, 1, 2, 3, ᱵᱷᱩᱜᱛᱟᱱ 8:1᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱯᱟᱦᱤᱞ ᱯᱩᱱ, ᱠᱟᱛᱨ ᱯᱨᱮᱢᱤᱭᱮ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ 7.89%᱾
ᱦᱤᱥᱟᱹᱵ
ᱥᱴᱨᱮᱴ ᱚᱯᱵᱟᱡᱤᱥᱴᱨᱮᱴ ᱚᱯᱢᱤᱫ ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 35:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ 1/38 ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱛᱮ ᱡᱤᱛᱚᱜ-ᱟ ᱟᱨ 35:1 ᱵᱷᱩᱜᱛᱟᱱ ᱮᱫᱟ: EV = 35/38 − 37/38 = −2/38 = −5.26%᱾ ᱮᱴᱟᱜ ᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱦᱚᱸ ᱚᱱᱟ ᱜᱮ ᱮᱞ ᱮᱢᱚᱜ-ᱟ, ᱪᱮᱫᱟᱜ ᱥᱮ ᱵᱷᱩᱜᱛᱟᱱᱴᱟᱠᱟᱵᱷᱩᱜᱛᱟᱱᱡᱤᱛ ᱵᱟᱡᱤ ᱪᱮᱫ ᱨᱩᱣᱟᱹᱲᱟ, ᱨᱩᱣᱟᱹᱲ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱪᱮᱛᱟᱱ “X ᱨᱮ 1” ᱞᱮᱠᱟ ᱨᱚᱲᱚᱜ-ᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮᱭᱟᱜ ᱱᱤᱭᱚᱢ ᱫᱚ ᱱᱤᱛᱚᱜ ᱦᱚᱸ 36 ᱠᱷᱟᱱᱟᱥᱟᱡ ᱥᱟᱢᱟᱱᱠᱷᱟᱱᱟᱨᱚᱴᱚᱨ ᱨᱮᱭᱟᱜ 37 ᱮᱞ ᱚᱞ ᱠᱷᱟᱱᱟ ᱠᱷᱚᱱ ᱢᱤᱫ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱥᱞᱚᱴ, ᱠᱟᱯ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱢᱮᱱᱟᱜ-ᱟ ᱢᱮᱱᱛᱮ ᱵᱷᱟᱱᱟᱣ ᱮᱫᱟ᱾ ᱢᱤᱫᱜᱮ ᱵᱟᱦᱨᱮ ᱫᱚ 0-00-1-2-3 ᱨᱮ ᱢᱚᱬᱮ ᱮᱞ ᱵᱟᱡᱤ ᱠᱟᱱᱟ, ᱡᱟᱦᱟᱸ ᱫᱚ 6:1 ᱵᱷᱩᱜᱛᱟᱱ ᱮᱫᱟ, ᱡᱟᱦᱟᱸ ᱴᱷᱮᱱ ᱱᱤᱭᱚᱢ ᱞᱮᱠᱟ 36/5 − 1 = 6.2 ᱦᱩᱭᱩᱜ ᱛᱟᱦᱮᱸ ᱠᱟᱱᱟ; ᱞᱟᱛᱟᱨ ᱥᱮᱫ ᱜᱚᱞ ᱠᱚᱨᱟᱣ ᱛᱮ ᱱᱚᱣᱟ ᱨᱮ 7.89% ᱵᱟᱲᱛᱤ ᱦᱩᱭᱩᱜ ᱠᱟᱱᱟ, ᱨᱩᱞᱮᱴ ᱨᱮ ᱥᱟᱱᱟᱢ ᱠᱷᱚᱱ ᱠᱷᱟᱨᱟᱯ ᱥᱴᱮᱱᱰᱟᱨᱰ ᱵᱟᱡᱤ᱾
ᱰᱚᱵᱚᱞ ᱡᱤᱨᱚ ᱨᱩᱞᱮᱴ ᱪᱟᱠᱟ ᱨᱮᱭᱟᱜ ᱵᱮᱱᱟᱣ
ᱟᱢᱮᱨᱤᱠᱟᱱ ᱪᱟᱠᱟ ᱫᱚ ᱮᱴᱟᱜ ᱮᱞ ᱛᱷᱟᱨ ᱵᱮᱵᱷᱟᱨ ᱮᱫᱟ, ᱚᱱᱟ ᱨᱮ 0 ᱟᱨ 00 ᱫᱚ ᱢᱤᱫ ᱮᱴᱟᱜ ᱥᱟᱢᱟᱝ ᱥᱟᱢᱟᱝ ᱢᱮᱱᱟᱜ ᱠᱟᱱᱟ: 0 28 9 26 30 11 7 20 32 17 5 22 34 15 3 24 36 13 1 00 27 10 25 29 12 8 19 31 18 6 21 33 16 4 23 35 14 2᱾ ᱛᱟᱭᱚᱢ ᱛᱟᱭᱚᱢ ᱮᱞ ᱠᱚ ᱫᱚ ᱪᱟᱠᱟ ᱨᱮ ᱥᱚᱡᱷᱮ ᱥᱟᱢᱟᱝ ᱥᱟᱢᱟᱝ ᱫᱩᱲᱩᱵ ᱠᱟᱱᱟ᱾ ᱣᱟᱡᱟᱸ ᱟᱨ ᱛᱤᱭᱮᱨ ᱞᱮᱠᱟᱱ ᱠᱚᱞ ᱵᱟᱡᱤᱴᱮᱵᱩᱞᱠᱚᱞ ᱵᱟᱡᱤᱛᱤ ᱛᱮ ᱫᱚᱦᱚ ᱵᱚᱫᱚᱞ ᱰᱤᱞᱟᱨ ᱴᱷᱮᱱ ᱨᱚᱲ ᱠᱟᱛᱮ ᱞᱟᱜᱟᱣ ᱟᱠᱟᱱ ᱵᱟᱡᱤ, ᱟᱡᱟᱭ ᱛᱮ ᱣᱟᱡᱟᱸ ᱟᱨᱵᱟᱝ ᱛᱤᱭᱮᱨ ᱞᱮᱠᱟᱱ ᱪᱟᱠᱟ ᱥᱮᱠᱴᱚᱨ ᱵᱟᱡᱤ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ “ᱨᱚᱲ ᱵᱟᱡᱤ”᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱱᱚᱣᱟ ᱨᱮ ᱵᱟᱹᱱᱩᱜ-ᱟ, ᱪᱮᱫᱟᱜ ᱥᱮ ᱩᱱᱤ ᱠᱚ ᱩᱫᱩᱜ ᱠᱟᱫ ᱥᱮᱠᱴᱚᱨᱪᱟᱠᱟᱥᱮᱠᱴᱚᱨᱪᱟᱠᱟ ᱨᱮ ᱛᱟᱭᱚᱢ ᱛᱟᱭᱚᱢ ᱠᱷᱟᱱᱟ ᱨᱮᱭᱟᱜ ᱢᱤᱫ ᱜᱩᱞᱟᱹᱭ ᱦᱟᱹᱴᱤᱧ, ᱞᱮᱭᱟᱣᱴ ᱨᱮᱭᱟᱜ ᱜᱩᱴᱤ ᱠᱷᱚᱱ ᱟᱞᱟᱜ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱦᱚᱸ ᱵᱟᱹᱱᱩᱜ-ᱟ᱾
ᱟᱢᱮᱨᱤᱠᱟᱱ ᱨᱩᱞᱮᱴ ᱴᱮᱵᱩᱞ ᱚᱠᱟᱨᱮ ᱧᱟᱢᱚᱜ-ᱟ
ᱞᱟᱥ ᱵᱷᱮᱜᱟᱥ ᱟᱨ ᱟᱹᱰᱤ US ᱠᱮᱥᱤᱱᱳ, ᱛᱤᱱᱟᱹᱜ ᱜᱟᱱ ᱞᱮᱴᱤᱱ ᱟᱢᱮᱨᱤᱠᱟ ᱟᱨ ᱠᱮᱨᱤᱵᱤᱭᱟᱱ ᱠᱮᱥᱤᱱᱳ, ᱟᱨ “ᱟᱢᱮᱨᱤᱠᱟᱱ” ᱚᱞ ᱚᱱᱞᱟᱭᱤᱱ ᱴᱮᱵᱩᱞ᱾ ᱛᱤᱱᱟᱹᱜ ᱜᱟᱱ US ᱦᱟᱭ-ᱞᱤᱢᱤᱴ ᱠᱩᱴᱤᱢ ᱨᱮ ᱢᱟᱨᱟᱝ ᱠᱚᱢ ᱥᱮ ᱠᱚᱢ ᱵᱟᱡᱤ ᱥᱟᱶ ᱥᱤᱝᱜᱚᱞ ᱡᱤᱨᱚᱪᱟᱠᱟᱡᱤᱨᱚᱢᱤᱫᱜᱮ ᱦᱟᱹᱨᱭᱟᱹᱲ ᱠᱷᱟᱱᱟ ᱡᱟᱦᱟᱸ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ, ᱰᱚᱡᱮᱱ ᱟᱨᱵᱟᱝ ᱠᱚᱞᱚᱢ ᱵᱟᱡᱤ ᱵᱟᱭ ᱠᱚᱵᱷᱟᱨᱟ; ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤ ᱨᱮᱭᱟᱜ ᱢᱩᱞ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱥᱤᱝᱜᱚᱞ ᱡᱤᱨᱚ, 0᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱴᱮᱵᱩᱞ ᱢᱮᱱᱟᱜ-ᱟ, ᱟᱨ ᱛᱤᱱᱟᱹᱜ ᱜᱟᱱ US ᱠᱮᱥᱤᱱᱳ ᱨᱮ “ᱥᱟᱨᱮᱱᱰᱟᱨ” ᱢᱮᱱᱟᱜ-ᱟ (0 ᱟᱨᱵᱟᱝ 00 ᱦᱤᱡᱩᱜ ᱠᱷᱟᱱ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤᱵᱟᱡᱤᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤᱟᱨᱟᱜ/ᱦᱮᱸᱫᱮ, ᱵᱤᱡᱳᱲ/ᱡᱳᱲ, ᱢᱟᱨᱟᱝ/ᱦᱩᱰᱤᱧ᱾ 18 ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 1:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱟᱫᱷᱟ ᱨᱩᱣᱟᱹᱲ), ᱡᱟᱦᱟᱸ ᱫᱚ ᱩᱱᱤ ᱵᱟᱡᱤ ᱠᱚ 2.63% ᱨᱮ ᱟᱹᱜᱩ ᱮᱫᱟ᱾
ᱱᱚᱣᱟ ᱪᱮᱫᱟᱜ ᱵᱟᱧᱪᱟᱣ ᱢᱮᱱᱟᱜ-ᱟ
ᱤᱛᱤᱦᱟᱹᱥ ᱟᱨ ᱦᱟᱹᱵᱤᱡ᱾ ᱵᱞᱟᱸ (Blanc) ᱭᱩᱨᱚᱯ ᱨᱮ ᱢᱤᱫ ᱡᱤᱨᱚ ᱚᱪᱚᱜ ᱞᱟᱦᱟ ᱨᱩᱞᱮᱴ ᱫᱚ ᱵᱟᱨᱭᱟ ᱡᱤᱨᱚ ᱥᱟᱶ ᱟᱢᱮᱨᱤᱠᱟ ᱥᱮᱴᱮᱨ ᱮᱱᱟ, ᱟᱨ ᱪᱮᱫ ᱦᱚᱸ ᱯᱮᱴᱟᱨ ᱫᱚ ᱵᱚᱫᱚᱞ ᱞᱟᱹᱜᱤᱫ ᱫᱟᱵ ᱵᱟᱭ ᱮᱢ ᱞᱮᱫᱟ᱾ US ᱠᱮᱥᱤᱱᱳ ᱠᱚ ᱧᱮᱞ ᱠᱟᱫᱟ ᱡᱮ ᱠᱷᱮᱞᱚᱸᱰ ᱠᱚ ᱫᱚ ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤᱜᱚᱱᱤᱛᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱠᱷᱚᱱ ᱠᱮᱥᱤᱱᱳ ᱟᱣᱥᱚᱛ ᱛᱮ ᱫᱚᱦᱚᱭ ᱦᱟᱹᱴᱤᱧ: ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱨᱩᱞᱮᱴ ᱨᱮ 2.70%᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱠᱷᱚᱱ ᱴᱮᱵᱩᱞ ᱨᱮᱭᱟᱜ ᱠᱚᱢ ᱥᱮ ᱠᱚᱢ ᱵᱟᱡᱤ ᱜᱮ ᱟᱹᱰᱤ ᱟᱞᱜᱟ ᱛᱮ ᱛᱩᱞᱟᱹᱣ ᱠᱟᱫ ᱠᱚᱣᱟ, ᱚᱱᱟᱛᱮ $10 ᱠᱚᱢ ᱥᱮ ᱠᱚᱢ ᱥᱟᱶ ᱰᱚᱵᱚᱞ ᱡᱤᱨᱚ ᱪᱟᱠᱟ ᱫᱚ $100 ᱨᱮᱭᱟᱜ ᱥᱤᱝᱜᱚᱞ ᱡᱤᱨᱚ ᱪᱟᱠᱟ ᱥᱟᱶ ᱢᱤᱫ ᱥᱟᱶ ᱛᱟᱦᱮᱸ ᱠᱟᱱᱟ᱾ ᱡᱟᱦᱟᱸ ᱨᱮ ᱵᱟᱨᱭᱟ ᱥᱟᱫᱮ ᱥᱟᱫᱮ ᱢᱮᱱᱟᱜ ᱠᱟᱱᱟ, ᱦᱤᱥᱟᱹᱵ ᱢᱮᱱ ᱮᱫᱟ: ᱢᱟᱨᱟᱝ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱥᱟᱶ ᱰᱚᱵᱚᱞ ᱡᱤᱨᱚᱨᱩᱯᱰᱚᱵᱚᱞ ᱡᱤᱨᱚᱟᱢᱮᱨᱤᱠᱟᱱ ᱪᱟᱠᱟ ᱨᱮᱭᱟᱜ 00 ᱠᱷᱟᱱᱟ᱾ ᱱᱚᱶᱟ ᱛᱟᱦᱮᱸ ᱛᱮ ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤ 2.70% ᱠᱷᱚᱱ 5.26% ᱦᱟᱹᱵᱤᱡ ᱪᱮᱛᱟᱱᱚᱜ-ᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱵᱚᱫᱚᱞ ᱨᱮ ᱦᱩᱰᱤᱧ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱥᱟᱶ ᱥᱤᱝᱜᱚᱞ ᱡᱤᱨᱚ ᱠᱷᱮᱞ ᱯᱮ᱾
ᱤᱜᱚᱞ
19 ᱥᱟᱭ ᱥᱮᱨᱢᱟ ᱨᱮᱭᱟᱜ ᱥᱩᱨᱩ ᱟᱢᱮᱨᱤᱠᱟᱱ ᱪᱟᱠᱟ ᱠᱚ ᱫᱚ ᱤᱜᱚᱞ ᱪᱤᱱᱦᱟᱹ ᱥᱟᱶ ᱯᱮᱭᱟᱜ ᱠᱮᱥᱤᱱᱳ ᱠᱷᱟᱱᱟ ᱥᱮᱞᱮᱫ ᱞᱮᱫᱟ, ᱡᱟᱦᱟᱸ ᱛᱮ ᱵᱟᱲᱛᱤ 7% ᱠᱷᱚᱱ ᱵᱮᱥᱤ ᱦᱩᱭ ᱮᱱᱟ᱾ ᱯᱮᱴᱟᱨ ᱨᱮ ᱱᱚᱣᱟ ᱵᱟᱭ ᱵᱟᱧᱪᱟᱣ ᱫᱟᱲᱮᱭᱟᱫᱟ᱾ 2016 ᱨᱮᱭᱟᱜ ᱴᱨᱤᱯᱚᱞ ᱡᱤᱨᱚ ᱪᱟᱠᱟ ᱫᱚ ᱚᱱᱟ ᱜᱮ ᱵᱷᱟᱵᱱᱟ ᱠᱟᱱᱟ, ᱪᱮᱬᱮ ᱵᱚᱫᱚᱞ ᱨᱮ ᱞᱚᱜᱚ ᱥᱟᱶ᱾
ᱠᱩᱠᱞᱤ ᱠᱚ
ᱵᱟᱝ᱾ ᱱᱚᱣᱟ ᱜᱮ ᱢᱩᱞ ᱠᱟᱛᱷᱟ ᱠᱟᱱᱟ: ᱢᱤᱫ ᱞᱮᱠᱟᱱ ᱵᱷᱩᱜᱛᱟᱱ, ᱵᱮᱥᱤ ᱠᱷᱟᱱᱟ᱾
ᱵᱟᱝ᱾ ᱨᱩᱞᱮᱴ ᱨᱮ ᱱᱚᱣᱟ ᱜᱮ ᱢᱤᱫᱜᱮ ᱵᱟᱡᱤ ᱠᱟᱱᱟ ᱡᱟᱦᱟᱸ ᱨᱮᱭᱟᱜ ᱵᱟᱲᱛᱤ ᱮᱴᱟᱜ ᱠᱚ ᱠᱷᱚᱱ ᱵᱷᱮᱜᱟᱨ, ᱟᱨ ᱱᱚᱣᱟ ᱵᱮᱥᱤ ᱠᱷᱟᱨᱟᱯ ᱠᱟᱱᱟ᱾
ᱦᱮᱸ, ᱚᱱᱟ ᱜᱮ ᱵᱮᱱᱟᱣ ᱥᱟᱶ᱾ ᱟᱸᱫᱟᱡᱽ ᱦᱟᱹᱱᱤᱜᱚᱱᱤᱛᱟᱸᱫᱟᱡᱽ ᱦᱟᱹᱱᱤᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝ ᱜᱩᱬ ᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱴᱟᱠᱟ; ᱢᱤᱫ ᱥᱮᱥᱚᱱ ᱟᱨᱵᱟᱝ ᱚᱠᱛᱚ ᱨᱮ ᱟᱣᱥᱚᱛ ᱛᱮ ᱦᱟᱨᱟᱣᱚᱜ ᱴᱟᱠᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ 20 ᱭᱩᱱᱤᱴᱴᱟᱠᱟᱭᱩᱱᱤᱴᱢᱤᱫ ᱥᱤᱥᱴᱮᱢ ᱟᱨᱵᱟᱝ ᱠᱷᱮᱞᱚᱸᱰ ᱵᱮᱵᱷᱟᱨ ᱵᱮᱥ ᱵᱟᱡᱤ ᱴᱟᱠᱟ᱾ ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱ ᱠᱚ ᱭᱩᱱᱤᱴ ᱛᱮ ᱵᱩᱡᱷᱟᱹᱣᱚᱜ-ᱟ ᱡᱮᱢᱚᱱ ᱡᱟᱦᱟᱸᱱ ᱴᱮᱵᱩᱞ ᱨᱮ ᱞᱟᱹᱜᱩ ᱦᱩᱭᱩᱜ-ᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮᱭᱟᱜ 2.70% ᱵᱚᱫᱚᱞ ᱨᱮ 5.26% ᱠᱟᱱᱟ᱾
ᱞᱟᱸᱫᱟ ᱞᱟᱹᱜᱤᱫ ᱠᱚᱢᱤᱠ
ᱢᱤᱫ ᱞᱮᱠᱟᱱ ᱵᱷᱩᱜᱛᱟᱱ᱾ ᱯᱮ ᱜᱮᱞ ᱤᱨᱟᱹᱞ ᱠᱷᱟᱱᱟ᱾ 5.26%᱾
ᱯᱷᱮᱰᱟᱛ
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Schwartz, D. G. Roll the Bones: The History of Gambling.