ᱞᱮᱵᱯᱚᱨᱚᱠᱷ 06df = 36α = 0.05ᱥᱤᱰ 99

ᱨᱩᱞᱮᱴ ᱪᱟᱠᱟ ᱵᱟᱭᱟᱥ

ᱢᱤᱫ ᱵᱟᱭᱟᱥ ᱨᱩᱞᱮᱴ ᱪᱟᱠᱟ ᱫᱚ ᱢᱤᱫ ᱥᱟᱡ ᱠᱷᱟᱹᱢᱤ ᱞᱟᱹᱜᱤᱫ ᱠᱤᱪᱷᱩ ᱠᱷᱟᱱᱟ ᱠᱚ ᱫᱷᱟᱨᱮ ᱞᱚᱦᱚᱫ ᱮᱫᱟ: ᱞᱟᱹᱡᱩᱜ ᱯᱷᱨᱮᱴ, ᱵᱟᱝ ᱥᱚᱢᱟᱱ ᱨᱚᱴᱚᱨ, ᱠᱷᱟᱭᱟ ᱟᱠᱟᱱ ᱠᱷᱟᱱᱟ᱾ ᱨᱩᱞᱮᱴ ᱪᱟᱠᱟ ᱵᱟᱭᱟᱥ ᱢᱮᱱᱟᱜ-ᱟ ᱟᱨ ᱚᱱᱟ ᱵᱮᱵᱷᱟᱨ ᱦᱚᱸ ᱦᱩᱭ ᱟᱠᱟᱱᱟ᱾ ᱢᱩᱥᱠᱤᱞ ᱫᱚ ᱱᱚᱣᱟ ᱠᱟᱱᱟ ᱡᱮ ᱢᱤᱫ ᱯᱩᱨᱟᱹ ᱴᱷᱤᱠ ᱪᱟᱠᱟ ᱦᱚᱸ ᱡᱟᱣᱜᱮ “ᱜᱚᱨᱚᱢ ᱮᱞ” ᱵᱮᱱᱟᱣ ᱮᱫᱟ, ᱚᱱᱟᱛᱮ ᱠᱩᱠᱞᱤ ᱫᱚ ᱢᱤᱫ ᱮᱞ ᱜᱚᱨᱚᱢ ᱥᱮ ᱵᱟᱝ ᱚᱱᱟ ᱫᱚ ᱵᱟᱝ, ᱢᱮᱱᱠᱷᱟᱱ ᱡᱚᱛᱚ ᱞᱮᱠᱷᱟ ᱫᱚ ᱵᱷᱟᱹᱜᱭᱚ ᱠᱷᱚᱱ ᱵᱮᱥᱤ ᱮᱠᱷᱮᱨ ᱥᱮ ᱵᱟᱝ᱾

1. ᱴᱷᱤᱠ ᱪᱟᱠᱟ ᱨᱮᱭᱟᱜ ᱱᱢᱩᱱᱟ

ᱡᱟᱦᱟᱱ ᱵᱟᱭᱟᱥ ᱵᱟᱹᱱᱩᱜ ᱢᱤᱫ ᱥᱤᱢᱩᱞᱮᱴ ᱪᱟᱠᱟ ᱠᱷᱚᱱ ᱜᱷᱩᱨᱟᱹᱣ ᱠᱚ᱾ ᱱᱢᱩᱱᱟ ᱢᱟᱯ ᱵᱚᱫᱚᱞ ᱯᱮ ᱟᱨ ᱡᱚᱛᱚ ᱠᱷᱚᱱ ᱜᱚᱨᱚᱢ ᱠᱷᱟᱱᱟ ᱧᱮᱞ ᱯᱮ᱾

0321519421225173462713361130823105241633120143192218297281235326
ᱜᱷᱩᱨᱟᱹᱣ370
ᱢᱤᱫ ᱢᱤᱫ ᱠᱷᱟᱱᱟ ᱨᱮ ᱟᱸᱫᱟᱡᱽ10.0
ᱥᱟᱱᱟᱢ ᱠᱷᱚᱱ ᱜᱚᱨᱚᱢ ᱠᱷᱟᱱᱟ20 · 16 ᱦᱤᱴ (4.32%)
ᱥᱟᱱᱟᱢ ᱠᱷᱚᱱ ᱜᱚᱨᱚᱢ ᱟᱨ ᱟᱸᱫᱟᱡᱽ+60% · 1.9σ
ᱠᱟᱭ-ᱥᱠᱣᱮᱭᱟᱨ · p32.8 · 0.622
ᱪᱤᱱᱛᱟᱹᱵᱟᱭᱟᱥ ᱨᱮᱭᱟᱜ ᱯᱨᱚᱢᱟᱱ ᱵᱟᱹᱱᱩᱜ-ᱟ

2. ᱧᱮᱞ ᱟᱠᱟᱱ ᱟᱨ ᱟᱸᱫᱟᱡᱽ

ᱡᱚᱛᱚ ᱵᱟᱨ ᱫᱚ ᱪᱟᱠᱟ ᱛᱟᱹᱞᱤᱠᱟᱹ ᱞᱮᱠᱟᱛᱮ ᱢᱤᱫ ᱠᱷᱟᱱᱟ ᱠᱟᱱᱟ᱾ ᱰᱮᱥ ᱫᱟᱜ ᱫᱚ ᱟᱸᱫᱟᱡᱽ ᱞᱮᱠᱷᱟ, n/37 ᱠᱟᱱᱟ᱾ ᱪᱷᱟᱭᱟᱹ ᱯᱟᱴᱤ ᱫᱚ ±2 ᱥᱴᱮᱱᱰᱟᱨᱰ ᱰᱤᱵᱷᱤᱭᱮᱥᱚᱱ ᱠᱟᱱᱟ: ᱢᱤᱫ ᱴᱷᱤᱠ ᱪᱟᱠᱟ ᱨᱮ ᱥᱟᱦᱟ ᱵᱤᱥᱤ ᱠᱷᱟᱱᱟ ᱠᱷᱚᱱ ᱢᱤᱫ ᱠᱷᱟᱱᱟ ᱵᱷᱟᱹᱜᱭᱚ ᱛᱮ ᱜᱮ ᱚᱱᱟ ᱠᱷᱚᱱ ᱵᱟᱦᱨᱮ ᱥᱮᱱᱚᱜ-ᱟ᱾

0ᱪᱟᱠᱟ ᱛᱟᱹᱞᱤᱠᱟᱹ ᱞᱮᱠᱟᱛᱮ ᱠᱷᱟᱱᱟ ᱠᱚ →26

3. ᱠᱟᱭ-ᱥᱠᱣᱮᱭᱟᱨ ᱯᱚᱨᱚᱠᱷ

ᱯᱚᱨᱚᱠᱷ ᱫᱚ ᱡᱚᱛᱚ ᱠᱷᱟᱱᱟ ᱟᱸᱫᱟᱡᱽ ᱠᱷᱚᱱ ᱛᱤᱱᱟᱹᱜ ᱥᱟᱸᱠᱷᱟ ᱢᱮᱱᱟᱜ-ᱟ, ᱵᱚᱨᱜᱚ ᱟᱨ ᱥᱠᱮᱞ ᱠᱟᱛᱮ, ᱡᱚᱲᱟᱣ ᱮᱫᱟ᱾ ᱢᱤᱫ ᱴᱷᱤᱠ ᱪᱟᱠᱟ ᱨᱮ ᱡᱚᱲᱟᱣ ᱫᱚ 36 ᱥᱟᱫᱷᱤᱱᱛᱟ ᱰᱤᱜᱽᱨᱤ ᱥᱟᱶ ᱠᱟᱭ-ᱥᱠᱣᱮᱭᱟᱨ ᱵᱟᱸᱴᱟᱣ ᱞᱮᱠᱟᱛᱮ ᱪᱟᱞᱟᱜ-ᱟ; 0.05 ᱠᱷᱚᱱ ᱠᱚᱢ p ᱜᱚᱱᱚᱝ ᱫᱚ ᱱᱤᱭᱚᱢ ᱞᱮᱠᱟᱛᱮ ᱥᱴᱮᱴᱤᱥᱴᱤᱠᱟᱞ ᱜᱚᱱᱚᱝ ᱢᱮᱱᱛᱮ ᱠᱚ ᱨᱚᱲᱟ᱾

χ² = Σ (Oᵢ − Eᵢ)² / Eᵢ Eᵢ = n/37 df = 36
n = 370 · E = 10.00 · χ² = 32.80 · p = 0.622
ᱱᱢᱩᱱᱟ ᱢᱟᱯ ᱦᱚᱥᱤᱭᱟᱨᱥᱟᱦᱟ 1,000 ᱜᱷᱩᱨᱟᱹᱣ ᱠᱷᱚᱱ ᱠᱚᱢ ᱨᱮ ᱯᱚᱨᱚᱠᱷ ᱫᱚ ᱥᱟᱹᱨᱤ ᱞᱮᱠᱟᱱ ᱵᱟᱭᱟᱥ ᱧᱟᱢ ᱞᱟᱹᱜᱤᱫ ᱡᱟᱦᱟᱱ ᱫᱟᱲᱮ ᱵᱟᱹᱱᱩᱜ-ᱟ ᱞᱮᱠᱟᱱ, ᱟᱨ p < 0.05 ᱨᱮ ᱢᱤᱫ “ᱜᱚᱱᱚᱝ” ᱨᱮᱡᱟᱞᱴ ᱫᱚ ᱟᱯᱮ ᱧᱮᱞ ᱠᱟᱱ ᱡᱚᱛᱚ 20 ᱴᱷᱤᱠ ᱱᱢᱩᱱᱟ ᱨᱮ 1 ᱫᱷᱟᱣ ᱵᱷᱟᱹᱜᱭᱚ ᱛᱮ ᱜᱮ ᱦᱩᱭᱩᱜ-ᱟ᱾ ᱟᱭᱢᱟ ᱪᱟᱠᱟ ᱯᱚᱨᱚᱠᱷ, ᱟᱨᱵᱟᱝ ᱢᱤᱫ ᱪᱟᱠᱟ ᱯᱟᱥ ᱦᱟᱹᱵᱤᱡ ᱫᱚᱦᱲᱟ ᱫᱚᱦᱲᱟ ᱯᱚᱨᱚᱠᱷ ᱫᱚ ᱵᱷᱩᱞ ᱯᱚᱡᱤᱴᱤᱵᱷ ᱨᱮᱡᱟᱞᱴ ᱡᱟᱣᱨᱟ ᱮᱢ ᱮᱫᱟ᱾

4. ᱟᱯᱮ ᱛᱤᱱᱟᱹᱜ ᱜᱷᱩᱨᱟᱹᱣ ᱞᱟᱹᱠᱛᱤᱭᱟ

ᱢᱤᱫ ᱠᱷᱟᱱᱟ 1/37 ᱠᱷᱚᱱ ᱵᱮᱥᱤ ᱦᱤᱡᱩᱜ ᱠᱟᱱᱟ ᱚᱱᱟ ᱧᱟᱢ ᱞᱟᱹᱜᱤᱫ ᱞᱟᱹᱠᱛᱤ ᱜᱷᱩᱨᱟᱹᱣ, ᱢᱤᱫ ᱫᱷᱟᱨᱮ 5% ᱛᱷᱟᱨ ᱟᱨ 80% ᱫᱟᱲᱮ ᱥᱟᱶ᱾ 37 ᱨᱮ 1 ᱫᱷᱟᱣ ᱵᱚᱫᱚᱞ 35 ᱨᱮ 1 ᱫᱷᱟᱣ ᱦᱤᱡᱩᱜ ᱠᱷᱟᱱᱟ ᱫᱚ ᱠᱷᱮᱞᱚᱸᱰ ᱞᱟᱹᱜᱤᱫ ᱢᱤᱫ ᱠᱮᱴᱮᱡ ᱵᱟᱲᱛᱤ ᱦᱩᱭᱩᱜ-ᱟ, ᱟᱨ ᱚᱱᱟ ᱯᱚᱠᱟ ᱞᱟᱹᱜᱤᱫ ᱜᱮᱞ ᱜᱮᱞ ᱦᱟᱡᱟᱨ ᱚᱞ ᱫᱚᱦᱚ ᱜᱷᱩᱨᱟᱹᱣ ᱞᱟᱹᱠᱛᱤᱭᱟ᱾

ᱥᱟᱹᱨᱤ ᱦᱟᱨᱠᱷᱮᱞᱚᱸᱰ ᱵᱟᱲᱛᱤᱞᱟᱹᱠᱛᱤ ᱜᱷᱩᱨᱟᱹᱣ40 ᱜᱷᱩᱨᱟᱹᱣ/ᱜᱷᱟᱸᱴᱟ ᱨᱮ
25 ᱨᱮ 1+44.0%1,10828 ᱜᱷᱟᱸᱴᱟ
30 ᱨᱮ 1+20.0%4,392110 ᱜᱷᱟᱸᱴᱟ
33 ᱨᱮ 1+9.1%15,747394 ᱜᱷᱟᱸᱴᱟ
35 ᱨᱮ 1+2.9%69,4611,737 ᱜᱷᱟᱸᱴᱟ
ᱵᱟᱭᱟᱥ ᱯᱚᱠᱟ ᱞᱟᱹᱜᱤᱫ ᱧᱤᱫᱟᱹ ᱛᱟᱭᱚᱢ ᱧᱤᱫᱟᱹ ᱜᱷᱩᱨᱟᱹᱣ ᱚᱞ ᱫᱚᱦᱚ ᱞᱟᱹᱠᱛᱤᱭᱟ, ᱜᱮᱞ ᱜᱮᱞ ᱦᱟᱡᱟᱨ᱾

ᱦᱤᱥᱟᱹᱵ ᱦᱚᱨᱟ

ᱱᱢᱩᱱᱟ᱾ ᱢᱤᱫ ᱥᱤᱰ ᱢᱮᱱᱟᱜ ᱡᱮᱱᱮᱨᱮᱴᱚᱨ (mulberry32, ᱥᱤᱰ 99) ᱛᱮ 37 ᱠᱷᱟᱱᱟ ᱠᱷᱚᱱ ᱥᱚᱢᱟᱱ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱨᱮ ᱵᱟᱪᱷᱟᱣ, ᱚᱱᱟᱛᱮ ᱥᱟᱦᱴᱟ ᱫᱚ ᱫᱚᱦᱲᱟ ᱵᱮᱱᱟᱣ ᱡᱚᱜ ᱠᱟᱱᱟ᱾
ᱯᱚᱨᱚᱠᱷ᱾ ᱯᱤᱭᱟᱨᱥᱚᱱ ᱠᱟᱭ-ᱥᱠᱣᱮᱭᱟᱨ ᱯᱚᱨᱚᱠᱷ (ᱜᱩᱰᱱᱮᱥ ᱚᱯᱷ ᱯᱷᱤᱴ), 36 ᱥᱟᱫᱷᱤᱱᱛᱟ ᱰᱤᱜᱽᱨᱤ, p ᱜᱚᱱᱚᱝ ᱫᱚ ᱨᱮᱜᱩᱞᱟᱨᱟᱭᱤᱡᱽᱰ ᱤᱱᱠᱚᱢᱯᱞᱤᱴ ᱜᱟᱢᱟ ᱯᱷᱟᱝᱠᱥᱚᱱ ᱠᱷᱚᱱ᱾
ᱫᱟᱲᱮ᱾ ᱢᱤᱫ-ᱯᱨᱚᱯᱚᱨᱥᱚᱱ ᱯᱚᱨᱚᱠᱷ ᱞᱟᱹᱜᱤᱫ ᱱᱚᱨᱢᱟᱞ ᱟᱸᱫᱟᱡᱽ, α = 0.05 ᱢᱤᱫ ᱫᱷᱟᱨᱮ, ᱫᱟᱲᱮ 0.80᱾
ᱥᱤᱢᱟᱹ᱾ ᱥᱩᱢᱩᱝ ᱥᱴᱮᱴᱤᱥᱴᱤᱠᱟᱞ ᱧᱟᱢ᱾ ᱥᱟᱡ ᱨᱮᱭᱟᱜ ᱠᱟᱨᱚᱬ ᱟᱨ ᱥᱮᱠᱴᱚᱨ ᱞᱮᱠᱟᱛᱮ (ᱠᱷᱟᱱᱟ ᱞᱮᱠᱟᱛᱮ ᱫᱚ ᱵᱟᱝ) ᱡᱟᱸᱪ ᱫᱚ ᱥᱮᱠᱴᱚᱨ ᱡᱟᱸᱪ ᱨᱮ ᱢᱮᱱᱟᱜ-ᱟ᱾

ᱞᱟᱸᱫᱟ ᱞᱟᱹᱜᱤᱫ ᱠᱚᱢᱤᱠ

ᱴᱷᱤᱠ ᱪᱟᱠᱟ ᱦᱚᱸ ᱡᱚᱛᱚ ᱧᱤᱫᱟᱹ ᱜᱚᱨᱚᱢ ᱮᱞ ᱵᱮᱱᱟᱣ ᱮᱫᱟ᱾ ᱵᱟᱭᱟᱥ ᱯᱚᱨᱢᱟᱱ ᱞᱟᱹᱜᱤᱫ ᱫᱚ ᱜᱮᱞ ᱜᱮᱞ ᱦᱟᱡᱟᱨ ᱜᱷᱩᱨᱟᱹᱣ ᱞᱟᱹᱠᱛᱤᱭᱟ᱾

ᱴᱷᱤᱠ ᱪᱟᱠᱟ ᱦᱚᱸ ᱡᱚᱛᱚ ᱧᱤᱫᱟᱹ ᱜᱚᱨᱚᱢ ᱮᱞ ᱵᱮᱱᱟᱣ ᱮᱫᱟ᱾ ᱵᱟᱭᱟᱥ ᱯᱚᱨᱢᱟᱱ ᱞᱟᱹᱜᱤᱫ ᱫᱚ ᱜᱮᱞ ᱜᱮᱞ ᱦᱟᱡᱟᱨ ᱜᱷᱩᱨᱟᱹᱣ ᱞᱟᱹᱠᱛᱤᱭᱟ᱾

ᱯᱷᱮᱰᱟᱛ

  1. Pearson, K. (1900). On the criterion that a given system of deviations… Philosophical Magazine, 50(302).
  2. Thorp, E. O. (1969). Optimal gambling systems for favorable games. Review of the International Statistical Institute, 37(3).
  3. Ethier, S. N. (2010). The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer. Ch. 13, Roulette.