ᱣᱟᱡᱟᱸ ᱫᱩ ᱡᱮᱨᱳ ᱨᱩᱞᱮᱴ ᱵᱟᱡᱤ
ᱨᱩᱞᱮᱴ ᱨᱮ ᱣᱟᱡᱟᱸ ᱫᱩ ᱡᱮᱨᱳ ᱨᱮᱭᱟᱜ ᱢᱟᱱᱮ ᱫᱚ “ᱡᱤᱨᱚ ᱨᱮᱭᱟᱜ ᱯᱟᱲᱚᱥᱤ”: ᱡᱤᱨᱚ ᱜᱷᱮᱨᱟ 22 ᱠᱷᱚᱱ 25 ᱦᱟᱹᱵᱤᱡ ᱜᱮᱞ ᱮᱭᱟᱭ ᱠᱷᱟᱱᱟ᱾
ᱟᱨᱮ ᱪᱤᱯ ᱜᱮᱞ ᱮᱭᱟᱭ ᱮᱞ ᱠᱚᱵᱷᱟᱨᱟ᱾ ᱥᱚᱢᱵᱷᱟᱵᱱᱟᱜᱚᱱᱤᱛᱥᱚᱢᱵᱷᱟᱵᱱᱟᱢᱤᱫ ᱨᱮᱡᱟᱞᱴ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ, 0 ᱠᱷᱚᱱ 1 ᱟᱨᱵᱟᱝ 0% ᱠᱷᱚᱱ 100%᱾ ᱢᱤᱫ ᱮᱞ: 1/37 = 2.70%᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → 45.95%᱾ ᱵᱷᱩᱜᱛᱟᱱ ᱫᱚ ᱚᱠᱟ ᱮᱞ ᱦᱮᱡᱚᱜ-ᱟ ᱚᱱᱟ ᱨᱮ ᱥᱟᱵ ᱢᱮᱱᱟᱜ-ᱟ᱾
ᱨᱩᱞᱮᱴ ᱨᱮ ᱣᱟᱡᱟᱸ ᱫᱚ ᱪᱮᱫ ᱠᱟᱱᱟ?
0-2-3 ᱥᱴᱨᱤᱴᱵᱟᱡᱤᱥᱴᱨᱤᱴᱞᱮᱭᱟᱣᱴ ᱨᱮᱭᱟᱜ ᱢᱤᱫ ᱯᱟᱹᱱᱛᱤ ᱨᱮ ᱯᱮ ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 11:1᱾ ᱯᱷᱨᱮᱧᱪ ᱨᱮ: ᱴᱨᱟᱸᱥᱣᱮᱨᱥᱟᱞ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱵᱟᱨ ᱪᱤᱯᱴᱟᱠᱟᱪᱤᱯᱛᱷᱤᱠ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ ᱪᱤᱱᱦᱟᱹ ᱴᱚᱠᱮᱱ, ᱵᱟᱡᱤ ᱞᱟᱹᱜᱤᱫ ᱞᱮᱭᱟᱣᱴ ᱨᱮ ᱫᱚᱦᱚᱜ-ᱟ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱪᱮᱠ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →, 25-26-28-29 ᱠᱚᱨᱱᱟᱨᱵᱟᱡᱤᱠᱚᱨᱱᱟᱨᱞᱮᱭᱟᱣᱴ ᱨᱮ ᱢᱤᱫ ᱠᱚᱬᱟ ᱥᱟᱡᱷᱟ ᱟᱠᱟᱱ ᱯᱩᱱ ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 8:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱵᱟᱨ, ᱟᱨ ᱢᱚᱬᱮ ᱥᱯᱞᱤᱴᱵᱟᱡᱤᱥᱯᱞᱤᱴᱵᱟᱨ ᱥᱟᱵᱟᱫ ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 17:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱨᱮ ᱢᱤᱫ ᱢᱤᱫ ᱪᱤᱯ: 4-7, 12-15, 18-21, 19-22, 32-35᱾ ᱟᱨᱮ ᱪᱤᱯ, ᱜᱮᱞ ᱮᱭᱟᱭ ᱠᱷᱟᱱᱟᱥᱟᱡ ᱥᱟᱢᱟᱱᱠᱷᱟᱱᱟᱨᱚᱴᱚᱨ ᱨᱮᱭᱟᱜ 37 ᱮᱞ ᱚᱞ ᱠᱷᱟᱱᱟ ᱠᱷᱚᱱ ᱢᱤᱫ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱥᱞᱚᱴ, ᱠᱟᱯ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →: 22 18 29 7 28 12 35 3 26 0 32 15 19 4 21 2 25, ᱛᱟᱞᱟ ᱨᱮ ᱡᱤᱨᱚᱪᱟᱠᱟᱡᱤᱨᱚᱢᱤᱫᱜᱮ ᱦᱟᱹᱨᱭᱟᱹᱲ ᱠᱷᱟᱱᱟ ᱡᱟᱦᱟᱸ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ, ᱰᱚᱡᱮᱱ ᱟᱨᱵᱟᱝ ᱠᱚᱞᱚᱢ ᱵᱟᱡᱤ ᱵᱟᱭ ᱠᱚᱵᱷᱟᱨᱟ; ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤ ᱨᱮᱭᱟᱜ ᱢᱩᱞ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱥᱤᱝᱜᱚᱞ ᱡᱤᱨᱚ, 0᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱥᱟᱶ ᱢᱤᱫ ᱞᱟᱜᱟᱛᱟᱨ ᱵᱟᱸᱠᱟ᱾ “ᱣᱟᱡᱟᱸ” ᱞᱮᱠᱟ ᱨᱚᱲᱚᱜ-ᱟ (ᱞᱮ ᱣᱟᱡᱟᱸ ᱫᱩ ᱡᱮᱨᱳFR · ᱥᱮᱠᱴᱚᱨᱣᱟᱡᱟᱸ ᱫᱩ ᱡᱮᱨᱳ“ᱡᱤᱨᱚ ᱨᱮᱭᱟᱜ ᱯᱟᱲᱚᱥᱤ”: ᱪᱟᱠᱟ ᱨᱮ 22 ᱠᱷᱚᱱ 25 ᱦᱟᱹᱵᱤᱡ ᱜᱮᱞᱮᱭᱟᱭ ᱮᱞ, ᱟᱨᱮ ᱪᱤᱯ ᱛᱮ ᱵᱟᱡᱤ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ →)᱾
ᱠᱷᱟᱱᱟ ᱞᱮᱠᱟ ᱛᱮ ᱣᱟᱡᱟᱸ ᱨᱮᱭᱟᱜ ᱵᱷᱩᱜᱛᱟᱱ
ᱪᱤᱯ ᱠᱚ ᱵᱷᱟᱨ ᱢᱮᱱᱟᱜ ᱛᱮ, ᱵᱷᱩᱜᱛᱟᱱᱴᱟᱠᱟᱵᱷᱩᱜᱛᱟᱱᱡᱤᱛ ᱵᱟᱡᱤ ᱪᱮᱫ ᱨᱩᱣᱟᱹᱲᱟ, ᱨᱩᱣᱟᱹᱲ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱪᱮᱛᱟᱱ “X ᱨᱮ 1” ᱞᱮᱠᱟ ᱨᱚᱲᱚᱜ-ᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ ᱵᱚᱞᱥᱟᱡ ᱥᱟᱢᱟᱱᱵᱚᱞᱨᱚᱴᱚᱨ ᱨᱮᱭᱟᱜ ᱩᱞᱴᱟᱹ ᱥᱮᱫ ᱴᱨᱮᱠ ᱨᱮ ᱜᱤᱰᱤ ᱦᱩᱰᱤᱧ ᱵᱚᱞ᱾ ᱱᱤᱛᱚᱜᱟᱜ ᱵᱚᱞ ᱫᱚ ᱟᱭᱣᱚᱨᱤᱱ ᱟᱨᱵᱟᱝ ᱴᱮᱯᱷᱞᱚᱱ ᱨᱮᱭᱟᱜ, 18–21 mm᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱚᱠᱟ ᱨᱮ ᱧᱩᱨᱩᱜ-ᱟ ᱚᱱᱟ ᱨᱮ ᱥᱟᱵ ᱢᱮᱱᱟᱜ-ᱟ᱾ ᱰᱚᱵᱚᱞ ᱥᱴᱨᱤᱴ 0-2-3 ᱨᱮ ᱡᱤᱛ ᱫᱚ 11 × 2 = 22 ᱮᱢᱟᱭ ᱟᱨ ᱮᱴᱟᱜ ᱮᱭᱟᱭ ᱪᱤᱯ ᱦᱟᱨᱟᱣᱚᱜ-ᱟ: ᱥᱩᱫᱽ +15᱾ ᱰᱚᱵᱚᱞ ᱠᱚᱨᱱᱟᱨ 25-26-28-29 ᱨᱮ ᱡᱤᱛ ᱫᱚ 8 × 2 = 16 ᱮᱢᱟᱭ ᱟᱨ ᱮᱭᱟᱭ ᱦᱟᱨᱟᱣᱚᱜ-ᱟ: ᱥᱩᱫᱽ +9᱾ ᱡᱟᱦᱟᱸ ᱥᱯᱞᱤᱴ ᱮᱞ ᱨᱮ ᱡᱤᱛ ᱫᱚ ᱢᱤᱫ ᱪᱤᱯ ᱨᱮ 17 ᱮᱢᱟᱭ ᱟᱨ ᱤᱨᱟᱹᱞ ᱦᱟᱨᱟᱣᱚᱜ-ᱟ: ᱥᱩᱫᱽ +9᱾ ᱡᱟᱦᱟᱸ ᱦᱟᱨᱟᱣ ᱨᱮ ᱡᱚᱛᱚ ᱟᱨᱮ ᱦᱟᱨᱟᱣᱚᱜ-ᱟ᱾
ᱥᱣᱚᱵᱷᱟᱵ
ᱢᱤᱫ ᱨᱚᱲ ᱛᱮ ᱡᱷᱟᱞᱟ ᱟᱫᱷᱟ ᱪᱟᱠᱟ ᱠᱚᱵᱷᱟᱨᱟ, ᱚᱱᱟᱛᱮ ᱡᱷᱟᱞᱟ ᱵᱟᱨ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱢᱤᱫ ᱡᱤᱛᱟᱹᱣᱚᱜ-ᱟ, ᱟᱨ ᱡᱚᱛᱚ ᱦᱟᱨᱟᱣ ᱨᱮ ᱟᱨᱮ ᱭᱩᱱᱤᱴᱴᱟᱠᱟᱭᱩᱱᱤᱴᱢᱤᱫ ᱥᱤᱥᱴᱮᱢ ᱟᱨᱵᱟᱝ ᱠᱷᱮᱞᱚᱸᱰ ᱵᱮᱵᱷᱟᱨ ᱵᱮᱥ ᱵᱟᱡᱤ ᱴᱟᱠᱟ᱾ ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱ ᱠᱚ ᱭᱩᱱᱤᱴ ᱛᱮ ᱵᱩᱡᱷᱟᱹᱣᱚᱜ-ᱟ ᱡᱮᱢᱚᱱ ᱡᱟᱦᱟᱸᱱ ᱴᱮᱵᱩᱞ ᱨᱮ ᱞᱟᱹᱜᱩ ᱦᱩᱭᱩᱜ-ᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱞᱟᱜᱟ᱾ ᱟᱣᱥᱚᱛ 37 ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ: 17 ᱡᱤᱛ ᱡᱚᱛᱚ ᱢᱤᱫ ᱛᱮ ᱡᱷᱟᱞᱟ +171 ᱭᱩᱱᱤᱴ, 20 ᱦᱟᱨᱟᱣ −180, ᱥᱩᱫᱽ −9᱾ ᱵᱷᱤᱛᱤᱨ ᱵᱟᱡᱤᱵᱟᱡᱤᱵᱷᱤᱛᱤᱨ ᱵᱟᱡᱤᱡᱟᱹᱞᱤ ᱨᱮᱭᱟᱜ ᱮᱞ ᱪᱮᱛᱟᱱ ᱟᱨᱵᱟᱝ ᱛᱟᱞᱟ ᱨᱮ ᱫᱚᱦᱚ ᱡᱟᱦᱟᱸᱱ ᱵᱟᱡᱤ: ᱥᱴᱨᱮᱴ ᱚᱯ, ᱥᱯᱞᱤᱴ, ᱥᱴᱨᱤᱴ, ᱠᱚᱨᱱᱟᱨ, ᱥᱤᱠᱥ ᱞᱟᱭᱤᱱ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱞᱟᱹᱜᱤᱫ ᱣᱮᱨᱤᱭᱮᱱᱥᱜᱚᱱᱤᱛᱣᱮᱨᱤᱭᱮᱱᱥᱟᱸᱫᱟᱡᱽ ᱜᱚᱱᱚᱝ ᱜᱷᱮᱨᱟᱣ ᱨᱮᱡᱟᱞᱴ ᱛᱤᱱᱟᱹᱜ ᱯᱟᱥᱱᱟᱣᱚᱜ-ᱟ ᱚᱱᱟ ᱨᱮᱭᱟᱜ ᱥᱟᱯᱲᱟᱣ᱾ ᱥᱴᱨᱮᱴ ᱚᱯ ᱞᱟᱹᱜᱤᱫ ᱵᱟᱹᱲᱛᱤ, ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ ᱞᱟᱹᱜᱤᱫ ᱠᱚᱢ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ ᱠᱚᱢ ᱠᱟᱱᱟ; ᱥᱟᱣᱟᱫ ᱫᱚ ᱞᱟᱦᱟᱭ ᱞᱟᱦᱟᱭ ᱜᱷᱟᱥᱟᱣ ᱞᱮᱠᱟ, ᱢᱤᱫ ᱢᱤᱫ ᱡᱷᱚᱜ 0-2-3 ᱵᱚᱱᱟᱥ ᱥᱟᱶ᱾
ᱡᱷᱳ ᱡᱮᱨᱳ
ᱦᱩᱰᱤᱧ ᱜᱚᱴᱟ: ᱡᱤᱨᱚ ᱥᱟᱢᱟᱝ ᱮᱭᱟᱭ ᱠᱷᱟᱱᱟ (12 35 3 26 0 32 15) ᱨᱮ ᱯᱩᱱ ᱪᱤᱯ, ᱥᱯᱞᱤᱴ 0-3, 12-15, 32-35 ᱟᱨ 26 ᱨᱮ ᱢᱤᱫ ᱥᱴᱨᱮᱴ ᱚᱯᱵᱟᱡᱤᱥᱴᱨᱮᱴ ᱚᱯᱢᱤᱫ ᱮᱞ, ᱵᱷᱩᱜᱛᱟᱱ 35:1᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱞᱮᱠᱟ᱾ 26 ᱨᱮ ᱡᱤᱛ ᱫᱚ ᱥᱩᱫᱽ +32; ᱥᱯᱞᱤᱴ ᱡᱤᱛ ᱫᱚ ᱥᱩᱫᱽ +14᱾ ᱡᱟᱨᱢᱟᱱ ᱟᱨ ᱚᱥᱴᱨᱤᱭᱟᱱ ᱠᱮᱥᱤᱱᱳ ᱨᱮ “ᱡᱮᱨᱳ ᱥᱯᱤᱞ” ᱧᱩᱛᱩᱢ ᱛᱮ ᱥᱟᱫᱷᱟᱨᱚᱬ᱾
ᱵᱷᱟᱨ ᱪᱮᱫᱟᱜ ᱵᱟᱝ ᱥᱚᱢᱟᱱ
ᱪᱤᱯ ᱠᱚ ᱫᱚ ᱞᱮᱭᱟᱣᱴᱥᱟᱡ ᱥᱟᱢᱟᱱᱞᱮᱭᱟᱣᱴᱴᱮᱵᱩᱞ ᱪᱮᱛᱟᱱ ᱪᱷᱟᱯᱟ ᱵᱟᱡᱤ ᱡᱟᱹᱞᱤ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱴᱮᱵᱩᱞ, ᱯᱷᱮᱞᱴ, ᱠᱟᱯᱲᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱛᱟᱭᱚᱢ ᱛᱮ ᱪᱟᱞᱟᱜ-ᱟ, ᱪᱟᱠᱟ ᱫᱚ ᱵᱟᱝ᱾ ᱡᱤᱨᱚ ᱨᱮᱭᱟᱜ ᱜᱮᱞ ᱮᱭᱟᱭ ᱪᱟᱠᱟ ᱯᱟᱲᱚᱥᱤᱵᱟᱡᱤᱯᱟᱲᱚᱥᱤᱪᱟᱠᱟ ᱨᱮ ᱢᱤᱫ ᱮᱞ ᱟᱨ ᱚᱱᱟ ᱨᱮᱭᱟᱜ ᱵᱟᱨᱭᱟ ᱥᱮᱫ ᱵᱟᱨ-ᱵᱟᱨ ᱠᱷᱟᱱᱟ, ᱢᱚᱬᱮ ᱥᱴᱨᱮᱴ ᱚᱯ ᱪᱤᱯ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ ᱡᱟᱹᱞᱤ ᱨᱮ ᱯᱮ ᱥᱴᱨᱤᱴ ᱜᱟᱛᱮ (0, 2, 3), ᱢᱤᱫ ᱠᱚᱨᱱᱟᱨ (25, 26, 28, 29) ᱟᱨ ᱢᱚᱬᱮ ᱥᱯᱞᱤᱴ ᱡᱩᱲᱤ ᱵᱮᱱᱟᱣᱟ᱾ ᱥᱴᱨᱤᱴ ᱟᱨ ᱠᱚᱨᱱᱟᱨ ᱨᱮ ᱰᱚᱵᱚᱞ ᱪᱤᱯ ᱫᱚ ᱥᱟᱫᱷᱟᱨᱚᱬ ᱵᱟᱡᱤ ᱛᱮ ᱚᱱᱟ ᱮᱭᱟᱭ ᱮᱞ ᱠᱚᱵᱷᱟᱨ ᱞᱟᱹᱜᱤᱫ ᱞᱟᱹᱠᱛᱤ᱾ ᱵᱟᱡᱤ ᱫᱚ ᱰᱤᱞᱟᱨ ᱠᱚ ᱞᱚᱜᱚᱱ ᱞᱟᱹᱜᱤᱫ ᱠᱚ ᱵᱮᱱᱟᱣ ᱞᱮᱫᱟ, ᱜᱚᱱᱤᱛ ᱵᱤᱜᱽᱭᱟᱱᱤ ᱠᱚ ᱥᱩᱱᱫᱚᱨ ᱞᱟᱹᱜᱤᱫ ᱫᱚ ᱵᱟᱝ᱾
ᱠᱩᱠᱞᱤ ᱠᱚ
ᱪᱤᱯ ᱯᱨᱚᱛᱤ ᱢᱤᱫ ᱜᱮ ᱵᱟᱲᱛᱤ᱾ ᱣᱟᱡᱟᱸ ᱫᱚ ᱵᱮᱥᱤ ᱠᱚᱵᱷᱟᱨᱟ ᱟᱨ ᱵᱮᱥᱤ ᱞᱟᱜᱟ; ᱛᱤᱭᱮᱨ ᱫᱚ ᱡᱚᱛᱚ ᱡᱤᱛ ᱨᱮ ᱢᱤᱫ ᱜᱮ ᱮᱢᱟᱭ᱾
ᱱᱚᱶᱟ ᱫᱚ ᱥᱴᱨᱤᱴ ᱡᱤᱛ ᱞᱮᱠᱟ ᱮᱢᱟᱭ, +15 ᱭᱩᱱᱤᱴ, ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ ᱡᱟᱦᱟᱸ ᱠᱷᱚᱱ ᱵᱮᱥ ᱯᱷᱚᱞ᱾
ᱵᱟᱝ᱾ ᱛᱷᱟᱨ ᱫᱚ ᱮᱴᱟᱜ ᱠᱟᱱᱟ ᱟᱨ ᱥᱮᱠᱴᱚᱨᱪᱟᱠᱟᱥᱮᱠᱴᱚᱨᱪᱟᱠᱟ ᱨᱮ ᱛᱟᱭᱚᱢ ᱛᱟᱭᱚᱢ ᱠᱷᱟᱱᱟ ᱨᱮᱭᱟᱜ ᱢᱤᱫ ᱜᱩᱞᱟᱹᱭ ᱦᱟᱹᱴᱤᱧ, ᱞᱮᱭᱟᱣᱴ ᱨᱮᱭᱟᱜ ᱜᱩᱴᱤ ᱠᱷᱚᱱ ᱟᱞᱟᱜ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ ᱵᱟᱹᱱᱩᱜ-ᱟ᱾
ᱞᱟᱸᱫᱟ ᱞᱟᱹᱜᱤᱫ ᱠᱚᱢᱤᱠ
ᱟᱨᱮ ᱪᱤᱯ, ᱜᱮᱞ ᱮᱭᱟᱭ ᱠᱷᱟᱱᱟ, ᱯᱮ ᱞᱮᱠᱟᱱ ᱵᱷᱩᱜᱛᱟᱱ᱾
ᱯᱷᱮᱰᱟᱛ
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Wykes, A. The Complete Illustrated Guide to Gambling.