ᱥᱚᱢᱥᱭᱟ: ᱡᱟᱱᱟᱢ ᱫᱤᱱ ᱪᱟᱠᱟ
ᱡᱟᱦᱟᱱᱟᱜ ᱮᱞ ᱫᱩᱦᱲᱟᱹ ᱦᱤᱡᱩᱜ ᱞᱟᱦᱟ ᱨᱮ ᱛᱤᱱᱟᱹᱜ ᱜᱷᱩᱨᱟᱹᱣ? ᱡᱟᱹᱥᱛᱤ ᱦᱚᱲ ᱡᱟᱦᱟᱸ ᱟᱸᱫᱟᱡᱽ ᱠᱚ ᱠᱟᱹᱢᱤᱭᱟ, ᱚᱱᱟ ᱠᱷᱚᱱ ᱟᱹᱰᱤ ᱠᱚᱢ᱾

37 ᱠᱷᱟᱱᱟᱥᱟᱡ ᱥᱟᱢᱟᱱᱠᱷᱟᱱᱟᱨᱚᱴᱚᱨ ᱨᱮᱭᱟᱜ 37 ᱮᱞ ᱚᱞ ᱠᱷᱟᱱᱟ ᱠᱷᱚᱱ ᱢᱤᱫ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱥᱞᱚᱴ, ᱠᱟᱯ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱪᱟᱠᱟ ᱨᱮ ᱡᱟᱱᱟᱢ ᱫᱤᱱ ᱥᱚᱢᱥᱭᱟ: ᱠᱷᱟᱹᱞᱤ 8 ᱜᱷᱩᱨᱟᱹᱣ ᱛᱟᱭᱚᱢ ᱡᱟᱦᱟᱱᱟᱜ ᱮᱞ ᱵᱟᱨ ᱫᱷᱟᱣ ᱦᱤᱡᱩᱜ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱫᱚ ᱟᱫᱷᱟ ᱠᱷᱚᱱ ᱵᱮᱥᱤ᱾ ᱠᱷᱮᱞᱚᱸᱰ ᱠᱚ ᱫᱚᱦᱲᱟ ᱮᱞ ᱫᱚ ᱱᱟᱠᱥᱟ ᱞᱮᱠᱟ ᱠᱚ ᱯᱟᱲᱦᱟᱣᱟ; ᱢᱮᱱᱠᱷᱟᱱ ᱱᱚᱶᱟ ᱫᱚ ᱴᱷᱤᱠ ᱪᱟᱠᱟ ᱨᱮᱭᱟᱜ ᱟᱸᱫᱟᱡᱽ ᱟᱫᱚᱛ ᱜᱮ ᱠᱟᱱᱟ᱾
ᱥᱚᱢᱥᱭᱟ
ᱢᱤᱫ ᱴᱷᱤᱠ ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱪᱟᱠᱟ ᱜᱷᱩᱨᱟᱹᱣ ᱯᱮ᱾ ᱠᱚᱢ ᱥᱮ ᱠᱚᱢ ᱵᱟᱨ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱢᱤᱫ ᱜᱮ ᱮᱞ ᱩᱫᱩᱜ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟᱜᱚᱱᱤᱛᱥᱚᱢᱵᱷᱟᱵᱱᱟᱢᱤᱫ ᱨᱮᱡᱟᱞᱴ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ, 0 ᱠᱷᱚᱱ 1 ᱟᱨᱵᱟᱝ 0% ᱠᱷᱚᱱ 100%᱾ ᱢᱤᱫ ᱮᱞ: 1/37 = 2.70%᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱫᱚ ᱟᱫᱷᱟ ᱠᱷᱚᱱ ᱵᱮᱥᱤ ᱦᱩᱭᱩᱜ ᱦᱟᱹᱵᱤᱡ ᱛᱤᱱᱟᱹᱜ ᱜᱷᱩᱨᱟᱹᱣ ᱞᱟᱹᱠᱛᱤᱭᱟ? ᱡᱟᱹᱥᱛᱤ ᱠᱷᱮᱞᱚᱸᱰ ᱠᱚ ᱟᱸᱫᱟᱡᱽᱟ 18 ᱥᱮ 19 ᱞᱮᱠᱟ, 37 ᱨᱮᱭᱟᱜ ᱟᱫᱷᱟ᱾ ᱛᱮᱞᱟ ᱫᱚ 8᱾
ᱥᱟᱢᱵᱷᱟᱲ
ᱫᱚᱦᱲᱟ ᱵᱟᱹᱱᱩᱜ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱦᱤᱥᱟᱹᱵ ᱯᱮ ᱟᱨ ᱢᱤᱫ ᱠᱷᱚᱱ ᱟᱹᱪᱩᱨ ᱯᱮ᱾ k ᱜᱷᱩᱨᱟᱹᱣ ᱛᱟᱭᱚᱢ, p(ᱡᱚᱛᱚ ᱵᱷᱮᱜᱟᱨ) = (37/37)(36/37)(35/37)…((38 − k)/37)᱾ k = 8 ᱞᱟᱹᱜᱤᱫ: 1 × 0.973 × 0.946 × 0.919 × 0.892 × 0.865 × 0.838 × 0.811 ≈ 0.44, ᱚᱱᱟᱛᱮ p(ᱡᱟᱦᱟᱱᱟᱜ ᱫᱚᱦᱲᱟ) ≈ 0.56᱾ k = 14 ᱞᱟᱹᱜᱤᱫ ᱱᱚᱶᱟ 0.93; k = 20 ᱞᱟᱹᱜᱤᱫ 0.996᱾ ᱢᱚᱱ ᱨᱮᱭᱟᱜ ᱵᱷᱟᱵᱱᱟ ᱵᱷᱩᱞᱚᱜ-ᱟ, ᱪᱮᱫᱟᱜ ᱥᱮ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮᱭᱟᱜ ᱡᱚᱲᱟ ᱠᱚ ᱨᱮᱭᱟᱜ ᱮᱞ ᱫᱚ k² ᱞᱮᱠᱟ ᱵᱟᱹᱲᱛᱤᱭᱚᱜ-ᱟ, ᱟᱨ ᱡᱟᱦᱟᱱᱟᱜ ᱡᱚᱲᱟ ᱦᱚᱸ ᱢᱤᱞᱟᱹᱣ ᱫᱟᱲᱮᱭᱟᱜ-ᱟ᱾
ᱴᱮᱵᱩᱞ ᱨᱮ ᱱᱚᱶᱟ ᱪᱮᱫᱟᱜ ᱞᱟᱹᱠᱛᱤ
ᱢᱩᱪᱟᱹᱫ 20 ᱮᱞ ᱨᱮᱭᱟᱜ ᱨᱮᱡᱟᱞᱴ ᱵᱳᱨᱰ ᱨᱮ ᱯᱷᱟᱞᱟᱹᱣ ᱜᱮ ᱠᱚᱢ ᱥᱮ ᱠᱚᱢ ᱢᱤᱫ ᱫᱚᱦᱲᱟ ᱧᱮᱞᱚᱜ-ᱟ, ᱟᱭᱢᱟ ᱫᱷᱟᱣ ᱵᱟᱨ ᱥᱮ ᱯᱮ᱾ ᱠᱷᱮᱞᱚᱸᱰ ᱠᱚ ᱧᱮᱞᱟ “ᱜᱮᱞ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ 17 ᱵᱟᱨ ᱫᱷᱟᱣ ᱦᱤᱡᱩᱜ ᱮᱱᱟ” ᱟᱨ ᱵᱷᱟᱵᱱᱟ ᱠᱚ ᱡᱮ 17 ᱫᱚ ᱜᱚᱨᱚᱢ; ᱡᱟᱱᱟᱢ ᱫᱤᱱ ᱦᱤᱥᱟᱹᱵ ᱢᱮᱱᱟᱜ-ᱟ ᱡᱮ ᱜᱮᱞ ᱜᱷᱩᱨᱟᱹᱣ ᱵᱷᱤᱛᱤᱨ ᱫᱚᱦᱲᱟ ᱫᱚ 74% ᱚᱠᱛᱚ ᱦᱩᱭᱩᱜ-ᱟ ᱟᱨ ᱫᱚᱦᱲᱟ ᱮᱞ ᱫᱚ ᱵᱷᱟᱜᱚ ᱛᱮ ᱜᱮ᱾ ᱱᱟᱠᱥᱟ ᱫᱚ ᱥᱟᱹᱨᱤ; ᱚᱱᱟ ᱨᱮᱭᱟᱜ ᱢᱟᱱᱮ ᱫᱚ ᱵᱟᱝ᱾
ᱫᱟᱨᱟᱭ ᱥᱚᱢᱥᱭᱟ
ᱢᱤᱫ ᱠᱷᱟᱥ ᱮᱞ, ᱡᱮᱞᱮᱠᱟ 17, ᱵᱟᱨ ᱫᱷᱟᱣ ᱦᱤᱡᱩᱜ ᱦᱟᱹᱵᱤᱡ ᱛᱤᱱᱟᱹᱜ ᱜᱷᱩᱨᱟᱹᱣ? ᱱᱚᱶᱟ ᱫᱚ ᱵᱷᱮᱜᱟᱨ ᱠᱩᱠᱞᱤ ᱠᱟᱱᱟ ᱟᱨ ᱚᱱᱟ ᱨᱮᱭᱟᱜ ᱛᱮᱞᱟ ᱫᱚ ᱟᱹᱰᱤ ᱢᱟᱨᱟᱝ: ᱟᱸᱫᱟᱡᱽ ᱟᱹᱛᱩᱨ ᱫᱚ 74 ᱜᱷᱩᱨᱟᱹᱣ, ᱟᱨ 20 ᱜᱷᱩᱨᱟᱹᱣ ᱵᱷᱤᱛᱤᱨ ᱵᱟᱨ ᱫᱷᱟᱣ 17 ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱫᱚ ᱠᱚᱢ ᱵᱮᱥᱤ 10%᱾ “ᱡᱟᱦᱟᱱᱟᱜ ᱮᱞ ᱫᱚᱦᱲᱟᱜ-ᱟ” (8 ᱜᱷᱩᱨᱟᱹᱣ) ᱟᱨ “ᱱᱚᱶᱟ ᱮᱞ ᱫᱚᱦᱲᱟᱜ-ᱟ” (74 ᱜᱷᱩᱨᱟᱹᱣ) ᱛᱟᱞᱟ ᱨᱮᱭᱟᱜ ᱯᱷᱟᱨᱟᱠ ᱫᱚ ᱛᱟᱭᱚᱢ ᱛᱮ ᱧᱮᱞ ᱧᱟᱢ ᱱᱟᱠᱥᱟ ᱟᱨ ᱮᱦᱚᱵ ᱨᱮ ᱜᱮ ᱞᱟᱹᱭ ᱥᱚᱫᱚᱨ ᱛᱟᱞᱟ ᱨᱮᱭᱟᱜ ᱥᱟᱱᱟᱢ ᱯᱷᱟᱨᱟᱠ ᱠᱟᱱᱟ᱾
ᱪᱮᱥᱴᱟ ᱯᱮ
ᱰᱮᱢᱚ ᱠᱷᱮᱞ ᱜᱮᱞ ᱜᱷᱩᱨᱟᱹᱣ ᱪᱟᱞᱟᱣ ᱯᱮ ᱟᱨ ᱤᱛᱤᱦᱟᱹᱥ ᱧᱮᱞ ᱯᱮ᱾ ᱡᱟᱹᱥᱛᱤ ᱛᱮ ᱢᱤᱫ ᱫᱚᱦᱲᱟ ᱛᱟᱦᱮᱸᱱᱟ᱾ ᱫᱩᱦᱲᱟᱹ ᱪᱟᱞᱟᱣ ᱯᱮ᱾ ᱫᱚᱦᱲᱟ ᱮᱞ ᱫᱚ ᱮᱴᱟᱜ ᱜᱮ ᱦᱩᱭᱩᱜ-ᱟ᱾ ᱜᱮᱞ ᱫᱷᱟᱣ ᱱᱚᱶᱟ ᱠᱟᱹᱢᱤ ᱯᱮ, ᱟᱨ ᱟᱯᱮ ᱡᱟᱱᱟᱢ ᱫᱤᱱ ᱥᱚᱢᱥᱭᱟᱜᱚᱱᱤᱛᱡᱟᱱᱟᱢ ᱫᱤᱱ ᱥᱚᱢᱥᱭᱟᱵᱟᱨ ᱦᱚᱲ ᱨᱮᱭᱟᱜ ᱢᱤᱫ ᱡᱟᱱᱟᱢ ᱫᱤᱱ ᱦᱩᱭ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱞᱟᱹᱜᱤᱫ ᱛᱤᱱᱟᱹᱜ ᱦᱚᱲ ᱞᱟᱹᱠᱛᱤ, ᱟᱨᱵᱟᱝ ᱢᱤᱫ ᱮᱞ ᱫᱚᱦᱲᱟ ᱦᱤᱡᱩᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱞᱟᱹᱜᱤᱫ ᱛᱤᱱᱟᱹᱜ ᱜᱷᱩᱨᱟᱹᱣ᱾ 37 ᱠᱷᱟᱱᱟ ᱪᱟᱠᱟ ᱨᱮ 8 ᱜᱷᱩᱨᱟᱹᱣ ᱛᱮ ᱜᱮ ᱥᱚᱢᱥᱚᱢ ᱠᱷᱚᱱ ᱵᱮᱥ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱦᱩᱭᱩᱜ-ᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱧᱮᱞ ᱠᱮᱫᱟ ᱯᱮ; ᱢᱤᱫ ᱦᱟᱡᱟᱨ ᱫᱷᱟᱣ ᱠᱟᱹᱢᱤ ᱯᱮ (ᱥᱤᱢᱩᱞᱮᱴᱚᱨ ᱠᱚ ᱫᱟᱲᱮᱭᱟᱜ-ᱟ) ᱟᱨ ᱟᱯᱮ ᱚᱱᱟ ᱢᱟᱯ ᱠᱮᱫᱟ ᱯᱮ᱾
ᱯᱷᱚᱨᱢᱩᱞᱟ
ᱠᱩᱠᱞᱤ ᱠᱚ
ᱴᱷᱤᱠ ᱚᱱᱟ ᱜᱮ, 365 ᱫᱤᱱ ᱵᱚᱫᱚᱞ ᱛᱮ 37 ᱠᱷᱟᱱᱟ᱾ ᱡᱟᱱᱟᱢ ᱫᱤᱱ ᱞᱟᱹᱜᱤᱫ 23 ᱦᱚᱲ ᱛᱮ 50% ᱦᱩᱭᱩᱜ-ᱟ; ᱪᱟᱠᱟ ᱞᱟᱹᱜᱤᱫ 8 ᱜᱷᱩᱨᱟᱹᱣ ᱛᱮ 56%᱾
ᱠᱚᱢ ᱵᱮᱥᱤ 19 ᱜᱷᱩᱨᱟᱹᱣ ᱛᱟᱭᱚᱢ 50%᱾ ᱱᱚᱶᱟ ᱦᱚᱸ ᱥᱟᱫᱷᱟᱨᱚᱬ ᱜᱮ᱾
ᱵᱟᱝ᱾ ᱢᱤᱫ ᱪᱟᱠᱟ ᱨᱮᱭᱟᱜ ᱦᱟᱡᱟᱨ ᱦᱟᱡᱟᱨ ᱜᱷᱩᱨᱟᱹᱣ ᱫᱚ ᱩᱫᱩᱜ ᱫᱟᱲᱮᱭᱟᱜ-ᱟ; ᱢᱤᱫ ᱫᱚᱦᱲᱟ ᱫᱚ ᱡᱚᱠᱷᱚᱱ ᱦᱚᱸ ᱵᱟᱝ᱾
ᱜᱚᱱᱤᱛ ᱥᱟᱶ ᱨᱟᱹᱥᱠᱟᱹ
ᱱᱚᱶᱟ ᱠᱚ ᱯᱩᱭᱞᱩ ᱟᱯᱮ ᱛᱮ ᱠᱩᱨᱩᱢᱩᱴᱩ ᱯᱮ᱾ ᱢᱤᱫ ᱢᱤᱫ ᱥᱚᱢᱟᱫᱷᱟᱱ ᱫᱚ ᱩᱠᱩ ᱢᱮᱱᱟᱜ-ᱟ; ᱛᱮᱭᱟᱨ ᱦᱩᱭ ᱠᱟᱛᱮ ᱡᱷᱤᱡᱽ ᱯᱮ᱾
ᱟᱢᱮᱨᱤᱠᱟᱱ ᱪᱟᱠᱟ ᱫᱷᱟᱨᱮ ᱨᱮ ᱢᱤᱫ ᱨᱮᱡᱟᱞᱴ ᱵᱳᱨᱰ ᱢᱩᱪᱟᱹᱫ 16 ᱜᱷᱩᱨᱟᱹᱣ ᱩᱫᱩᱜᱟ᱾ ᱚᱱᱰᱮ ᱡᱟᱦᱟᱱ ᱮᱞ ᱵᱟᱨ ᱫᱷᱟᱣ ᱵᱟᱝ ᱧᱮᱞᱚᱜ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱪᱮᱫ?
ᱥᱚᱢᱟᱫᱷᱟᱱ ᱩᱫᱩᱜ
ᱛᱮᱞᱟ ᱡᱷᱚᱛᱚ 2.5%: ᱡᱷᱚᱛᱚ 40 ᱵᱳᱨᱰ ᱠᱷᱚᱱ 39 ᱵᱳᱨᱰ ᱨᱮ ᱠᱚᱢ ᱥᱮ ᱠᱚᱢ ᱢᱤᱫ ᱮᱞ ᱫᱩᱦᱲᱟᱹ ᱧᱮᱞᱚᱜ-ᱟ᱾
ᱜᱷᱩᱨᱟᱹᱣ ᱛᱟᱭᱚᱢ ᱜᱷᱩᱨᱟᱹᱣ ᱪᱟᱞᱟᱜ ᱯᱮ᱾ ᱯᱟᱹᱦᱤᱞ ᱜᱷᱩᱨᱟᱹᱣ ᱡᱟᱦᱟᱸ ᱜᱮ ᱦᱩᱭ ᱫᱟᱲᱮᱭᱟᱜ-ᱟ᱾ ᱵᱟᱨ ᱥᱟᱭ ᱫᱚ ᱚᱱᱟ ᱵᱟᱝ ᱦᱤᱡᱩᱜ ᱞᱟᱹᱠᱛᱤᱭᱟ: 38 ᱨᱮ 37 ᱥᱚᱢᱵᱷᱟᱵᱱᱟ᱾ ᱯᱮ ᱥᱟᱭ ᱫᱚ ᱵᱟᱨᱭᱟ ᱵᱟᱝ ᱦᱤᱡᱩᱜ ᱞᱟᱹᱠᱛᱤᱭᱟ: 38 ᱨᱮ 36᱾ ᱜᱮᱞ ᱛᱩᱨᱩᱭ ᱥᱟᱭ ᱫᱚ ᱜᱮᱞ ᱢᱚᱬᱮ ᱮᱞ ᱵᱟᱝ ᱦᱤᱡᱩᱜ ᱞᱟᱹᱠᱛᱤᱭᱟ: 38 ᱨᱮ 23᱾
ᱜᱩᱱ ᱯᱮ: 38/38 × 37/38 × 36/38 × … × 23/38 ≈ 0.0246᱾
ᱫᱩᱦᱲᱟᱹ ᱵᱮᱜᱚᱨ ᱵᱳᱨᱰ ᱜᱮ ᱠᱚᱢ ᱧᱮᱞᱚᱜ-ᱟ᱾ ᱫᱩᱦᱲᱟᱹ ᱢᱮᱱᱟᱜ ᱵᱳᱨᱰ ᱫᱚ ᱪᱟᱠᱟ ᱵᱚᱵᱚᱛ ᱪᱮᱫ ᱦᱚᱸ ᱵᱟᱝ ᱢᱮᱱᱟ᱾
ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱪᱟᱠᱟ ᱨᱮᱭᱟᱜ ᱜᱮᱞ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ, 17 ᱴᱷᱤᱠ ᱢᱚᱬᱮ ᱫᱷᱟᱣ ᱦᱤᱡᱩᱜ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱪᱮᱫ? ᱡᱟᱦᱟᱸ ᱜᱮ ᱢᱤᱫ ᱮᱞ ᱢᱚᱬᱮ ᱥᱮ ᱚᱱᱟ ᱠᱷᱚᱱ ᱵᱟᱹᱲᱛᱤ ᱫᱷᱟᱣ ᱦᱤᱡᱩᱜ ᱨᱮᱭᱟᱜ? ᱟᱨ ᱯᱩᱱ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱡᱟᱦᱟᱸ ᱜᱮ ᱢᱤᱫ ᱮᱞ ᱠᱚᱢ ᱥᱮ ᱠᱚᱢ ᱯᱮ ᱫᱷᱟᱣ ᱦᱤᱡᱩᱜ ᱨᱮᱭᱟᱜ?
ᱥᱚᱢᱟᱫᱷᱟᱱ ᱩᱫᱩᱜ
ᱛᱮᱞᱟ 17 ᱴᱷᱤᱠ ᱢᱚᱬᱮ ᱫᱷᱟᱣ: 315,576 ᱨᱮ 1᱾ ᱡᱟᱦᱟᱸ ᱜᱮ ᱮᱞ ᱢᱚᱬᱮ ᱥᱮ ᱵᱟᱹᱲᱛᱤ ᱫᱷᱟᱣ: ᱡᱷᱚᱛᱚ 8,333 ᱨᱮ 1᱾ ᱯᱩᱱ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱡᱟᱦᱟᱸ ᱜᱮ ᱮᱞ ᱯᱮ ᱥᱮ ᱵᱟᱹᱲᱛᱤ ᱫᱷᱟᱣ: 349 ᱨᱮ 1᱾
17 ᱢᱚᱬᱮ ᱫᱷᱟᱣ: ᱜᱮᱞ ᱜᱷᱩᱨᱟᱹᱣ ᱠᱷᱚᱱ ᱚᱠᱟ ᱢᱚᱬᱮ ᱵᱟᱪᱷᱟᱣ ᱯᱮ, 252 ᱦᱚᱨ, ᱡᱚᱛᱚ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ (1/37)⁵ × (36/37)⁵᱾ ᱢᱤᱫ ᱠᱟᱛᱮ, 315,576 ᱨᱮ 1᱾
ᱡᱟᱦᱟᱸ ᱜᱮ ᱮᱞ: 37 ᱮᱞ ᱨᱮᱭᱟᱜ ᱡᱚᱛᱚ ᱮᱞ ᱨᱮ ᱢᱚᱬᱮ ᱥᱮ ᱵᱟᱹᱲᱛᱤ ᱥᱮᱴᱮᱨ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ 308,325 ᱨᱮ 1 ᱢᱮᱱᱟᱜ-ᱟ, ᱡᱟᱦᱟᱸ ᱫᱚ 308,325 ᱨᱮ 37, ᱥᱮ 8,333 ᱨᱮ 1 ᱮᱢᱟ᱾ ᱵᱟᱨ ᱮᱞ ᱢᱚᱬᱮ ᱢᱚᱬᱮ ᱫᱷᱟᱣ ᱦᱤᱡᱩᱜ ᱨᱮᱭᱟᱜ ᱟᱹᱰᱤ ᱠᱚᱢ ᱦᱚᱨ ᱫᱚ ᱵᱟᱨ ᱫᱷᱟᱣ ᱞᱮᱠᱷᱟᱚᱜ-ᱟ, ᱢᱮᱱᱠᱷᱟᱱ ᱚᱱᱟ ᱚᱪᱚᱜ ᱞᱮᱠᱷᱟᱱ ᱱᱚᱣᱟ ᱥᱩᱠᱷᱚᱢ ᱨᱮ ᱪᱮᱫ ᱦᱚᱸ ᱵᱟᱝ ᱵᱚᱫᱚᱞᱚᱜ-ᱟ᱾
ᱯᱩᱱ ᱜᱷᱩᱨᱟᱹᱣ ᱨᱮ ᱯᱮ ᱫᱷᱟᱣ: ᱢᱤᱫ ᱮᱞ ᱞᱟᱹᱜᱤᱫ, 37⁴ ᱦᱩᱭ ᱫᱟᱲᱮᱭᱟᱜ ᱨᱮᱡᱟᱞᱴ ᱠᱷᱚᱱ 4 × 36 + 1 = 145; 37 ᱮᱞ ᱠᱷᱚᱱ ᱡᱟᱦᱟᱸ ᱜᱮ ᱞᱟᱹᱜᱤᱫ, 145/37³ = 349 ᱨᱮ 1᱾
ᱰᱚᱵᱚᱞ ᱡᱤᱨᱚᱪᱟᱠᱟᱡᱤᱨᱚᱢᱤᱫᱜᱮ ᱦᱟᱹᱨᱭᱟᱹᱲ ᱠᱷᱟᱱᱟ ᱡᱟᱦᱟᱸ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ, ᱰᱚᱡᱮᱱ ᱟᱨᱵᱟᱝ ᱠᱚᱞᱚᱢ ᱵᱟᱡᱤ ᱵᱟᱭ ᱠᱚᱵᱷᱟᱨᱟ; ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤ ᱨᱮᱭᱟᱜ ᱢᱩᱞ᱾ ᱮᱴᱟᱜ ᱧᱩᱛᱩᱢ: ᱥᱤᱝᱜᱚᱞ ᱡᱤᱨᱚ, 0᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱪᱟᱠᱟ ᱞᱟᱹᱜᱤᱫ ᱚᱱᱟ ᱞᱮᱠᱟᱱ ᱮᱞ ᱠᱚ ᱫᱚ 359,275 ᱨᱮ 1, 9,243 ᱨᱮ 1 ᱟᱨ 368 ᱨᱮ 1᱾ “17” ᱟᱨ “ᱡᱟᱦᱟᱸ ᱜᱮ ᱮᱞ” ᱛᱟᱞᱟ ᱨᱮᱭᱟᱜ ᱯᱷᱟᱨᱟᱠ ᱫᱚ ᱟᱨᱦᱚᱸ ᱡᱟᱱᱟᱢ ᱫᱤᱱ ᱥᱚᱢᱥᱭᱟᱜᱚᱱᱤᱛᱡᱟᱱᱟᱢ ᱫᱤᱱ ᱥᱚᱢᱥᱭᱟᱵᱟᱨ ᱦᱚᱲ ᱨᱮᱭᱟᱜ ᱢᱤᱫ ᱡᱟᱱᱟᱢ ᱫᱤᱱ ᱦᱩᱭ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱞᱟᱹᱜᱤᱫ ᱛᱤᱱᱟᱹᱜ ᱦᱚᱲ ᱞᱟᱹᱠᱛᱤ, ᱟᱨᱵᱟᱝ ᱢᱤᱫ ᱮᱞ ᱫᱚᱦᱲᱟ ᱦᱤᱡᱩᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱞᱟᱹᱜᱤᱫ ᱛᱤᱱᱟᱹᱜ ᱜᱷᱩᱨᱟᱹᱣ᱾ 37 ᱠᱷᱟᱱᱟ ᱪᱟᱠᱟ ᱨᱮ 8 ᱜᱷᱩᱨᱟᱹᱣ ᱛᱮ ᱜᱮ ᱥᱚᱢᱥᱚᱢ ᱠᱷᱚᱱ ᱵᱮᱥ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱦᱩᱭᱩᱜ-ᱟ᱾ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ → ᱜᱮ ᱠᱟᱱᱟ: ᱦᱟᱦᱟᱲᱟ ᱞᱟᱹᱜᱤᱫ 37 ᱦᱚᱨ ᱢᱮᱱᱟᱜ-ᱟ᱾
ᱞᱟᱸᱫᱟ ᱞᱟᱹᱜᱤᱫ ᱠᱚᱢᱤᱠ

ᱡᱟᱦᱟᱱᱟᱜ ᱞᱚᱜᱚᱱ ᱫᱚᱦᱲᱟᱜ-ᱟ᱾ ᱚᱱᱟ ᱡᱟᱦᱟᱱᱟᱜ ᱫᱚ ᱵᱷᱟᱜᱚ ᱛᱮ ᱜᱮ᱾
ᱯᱷᱮᱰᱟᱛ
- Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1.
- Wizard of Odds. “Ask the Wizard”, roulette questions.