0321519421225173462713361130823105241633120143192218297281235326

ᱨᱩᱞᱮᱴ ᱵᱩᱡᱷᱟᱹᱣ ᱯᱮ᱾ ᱪᱤᱯ ᱚᱠᱟ ᱨᱮ ᱫᱚᱦᱚ ᱦᱩᱭᱩᱜ-ᱟ ᱚᱱᱟ ᱜᱮ ᱫᱚ ᱵᱟᱝ᱾

ᱱᱤᱭᱚᱢ ᱪᱮᱫ ᱯᱮ, ᱠᱚᱭᱢᱟ ᱮᱥᱮᱫ ᱵᱟᱡᱤ ᱞᱟᱜᱟᱣ ᱯᱮ, ᱤᱱᱟᱹ ᱛᱟᱭᱚᱢ ᱥᱴᱨᱮᱴᱮᱡᱤ ᱠᱚ ᱯᱚᱨᱚᱠᱷ ᱯᱮ᱾ ᱟᱞᱮᱭᱟᱜ ᱦᱟᱹᱛᱤᱭᱟᱹᱨ ᱟᱨ ᱥᱤᱢᱩᱞᱮᱥᱚᱱ ᱫᱚ ᱨᱩᱞᱮᱴ ᱪᱮᱫ ᱞᱮᱠᱟ ᱪᱟᱞᱟᱜ-ᱟ ᱚᱱᱟ ᱜᱷᱩᱨᱟᱹᱣ ᱞᱮᱠᱟᱛᱮ ᱩᱫᱩᱜ ᱮᱫᱟ᱾

ᱪᱟᱠᱟ ᱛᱷᱟᱨ ᱨᱮ 37 ᱠᱷᱟᱱᱟ, ᱯᱩᱭᱞᱩ 0 · ᱟᱨᱟᱜ 18 · ᱦᱮᱸᱫᱮ 18 · ᱦᱟᱹᱨᱭᱟᱹᱲ 1
ᱡᱟᱦᱟᱸᱱ ᱵᱟᱡᱤ ᱵᱟᱝ ᱵᱟᱪᱷᱟᱣ ᱟᱠᱟᱱᱟ
ᱠᱷᱟᱱᱟ37 (0–36)
ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱨᱮ 2.70%
ᱡᱤᱨᱚᱥᱤᱝᱜᱚᱞ, ᱦᱟᱹᱨᱭᱟᱹᱲ
ᱤᱥᱟᱨᱟᱢᱤᱫ ᱠᱷᱟᱱᱟ ᱪᱮᱛᱟᱱ ᱨᱮ ᱢᱟᱣᱩᱥ ᱫᱚᱦᱚ ᱯᱮ · ᱴᱮᱵᱩᱞ ᱨᱮ ᱴᱮᱯ ᱯᱮ
01 · 5 ᱢᱤᱱᱤᱴ ᱨᱮ ᱨᱩᱞᱮᱴ

ᱢᱤᱫ ᱫᱟᱣ, ᱮᱦᱚᱵ ᱠᱷᱚᱱ ᱢᱩᱪᱟᱹᱫ ᱦᱟᱹᱵᱤᱡ

ᱯᱩᱨᱟᱹ ᱯᱟᱲᱦᱟᱣ ᱯᱟᱲᱦᱟᱣ ᱯᱮ →
01
ᱪᱤᱯ ᱫᱚᱦᱚ
ᱮᱞ ᱠᱚ ᱨᱮ ᱟᱨᱵᱟᱝ ᱚᱱᱠᱚᱣᱟᱜ ᱜᱷᱮᱨ ᱨᱮᱭᱟᱜ ᱵᱟᱠᱥ ᱠᱚ ᱨᱮ ᱪᱤᱯ ᱫᱚᱦᱚ ᱯᱮ᱾ ᱢᱤᱫ ᱫᱷᱟᱣ ᱨᱮ ᱟᱯᱮ ᱟᱭᱢᱟ ᱵᱟᱡᱤ ᱞᱟᱜᱟᱣ ᱫᱟᱲᱮᱭᱟᱜ-ᱟ᱾
02
ᱵᱚᱞ ᱪᱟᱞᱟᱜ-ᱟ
ᱰᱤᱞᱟᱨ ᱫᱚ ᱪᱟᱠᱟ ᱢᱤᱫ ᱫᱷᱟᱨᱮ ᱜᱷᱩᱨᱟᱹᱣ ᱮᱫᱟᱭ ᱟᱨ ᱵᱚᱞ ᱫᱚ ᱮᱴᱟᱜ ᱫᱷᱟᱨᱮ ᱨᱤᱢ ᱜᱷᱮᱨ ᱛᱮ ᱠᱩᱞ ᱮᱫᱟᱭ᱾
03
ᱟᱨ ᱵᱟᱡᱤ ᱵᱟᱝ
ᱰᱤᱞᱟᱨ ᱫᱚ ᱞᱮᱭᱟᱣᱴ ᱪᱮᱛᱟᱱ ᱛᱮ ᱛᱤ ᱮ ᱦᱤᱞᱚᱣᱟ᱾ ᱪᱤᱯ ᱫᱚ ᱟᱨ ᱵᱟᱝ ᱥᱟᱦᱟᱬ ᱫᱟᱲᱮᱭᱟᱜ-ᱟ᱾
04
ᱵᱚᱞ ᱧᱩᱨᱚᱜ-ᱟ
ᱵᱚᱞ ᱫᱚ 37 ᱠᱷᱟᱱᱟ ᱠᱷᱚᱱ ᱢᱤᱫ ᱨᱮ ᱥᱟᱹᱠᱷᱤᱛᱚᱜ-ᱟ᱾ ᱰᱤᱞᱟᱨ ᱫᱚ ᱴᱮᱵᱩᱞ ᱨᱮ ᱡᱤᱛ ᱮᱞ ᱪᱤᱱᱦᱟᱹᱣ ᱮᱫᱟᱭ᱾
05
ᱦᱤᱥᱟᱹᱵ ᱢᱤᱴᱟᱹᱣ
ᱯᱟᱦᱤᱞ ᱦᱟᱨᱟᱣ ᱪᱤᱯ ᱠᱚ ᱚᱪᱚᱜᱚᱜ-ᱟ, ᱛᱟᱭᱚᱢ ᱛᱮ ᱡᱤᱛᱟᱹᱣᱤᱡ ᱠᱚ ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ ᱛᱷᱤᱨ ᱚᱰᱥ ᱨᱮ ᱵᱷᱩᱜᱛᱟᱱᱚᱜ ᱠᱚᱣᱟ᱾
02 · ᱴᱮᱵᱩᱞ ᱵᱩᱡᱷᱟᱹᱣ ᱯᱮ

ᱢᱤᱫ ᱜᱮ ᱮᱞ, ᱮᱴᱟᱜ ᱯᱟᱲᱚᱥᱤ

ᱥᱴᱨᱮᱴ ᱚᱯ ᱪᱤᱯ ᱫᱚᱦᱚ ᱞᱟᱹᱜᱤᱫ ᱮᱞ ᱨᱮ ᱴᱮᱯ ᱯᱮ, ᱟᱨᱵᱟᱝ ᱢᱤᱫ ᱜᱟᱫᱮᱞ ᱥᱮᱞᱮᱫ ᱞᱟᱹᱜᱤᱫ ᱵᱟᱦᱨᱮ ᱵᱟᱠᱥᱚ ᱨᱮ᱾ ᱪᱮᱛᱟᱱ ᱨᱮᱭᱟᱜ ᱪᱟᱠᱟ ᱫᱚ ᱚᱱᱟ ᱜᱮ ᱠᱷᱟᱱᱟ ᱠᱚ ᱪᱤᱠᱤᱧ ᱛᱮ ᱩᱫᱩᱜ ᱮᱫᱟ, ᱚᱱᱟᱛᱮ ᱟᱯᱮ ᱧᱮᱞ ᱫᱟᱲᱮᱭᱟᱜ-ᱟ ᱡᱮ ᱴᱮᱵᱩᱞ ᱯᱟᱲᱚᱥᱤ ᱫᱚ ᱪᱟᱠᱟ ᱯᱟᱲᱚᱥᱤ ᱫᱚ ᱵᱟᱝ ᱠᱟᱱᱟ᱾

ᱵᱟᱡᱤ ᱵᱮᱱᱟᱣᱤᱡ · ᱢᱤᱫ ᱢᱤᱫ ᱮᱞ ᱨᱮ $10 ᱵᱟᱡᱤ ᱴᱟᱠᱟ
ᱠᱷᱟᱱᱟ37 (0–36)
ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤᱡᱚᱛᱚ ᱵᱟᱡᱤ ᱨᱮ 2.70%
ᱡᱤᱨᱚᱥᱤᱝᱜᱚᱞ, ᱦᱟᱹᱨᱭᱟᱹᱲ
ᱤᱥᱟᱨᱟᱢᱤᱫ ᱠᱷᱟᱱᱟ ᱪᱮᱛᱟᱱ ᱨᱮ ᱢᱟᱣᱩᱥ ᱫᱚᱦᱚ ᱯᱮ · ᱴᱮᱵᱩᱞ ᱨᱮ ᱴᱮᱯ ᱯᱮ
03 · ᱢᱩᱞ ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ ᱞᱮᱠᱟᱱ

ᱠᱚᱢ ᱮᱞ, ᱢᱟᱨᱟᱝ ᱵᱷᱩᱜᱛᱟᱱ, ᱢᱤᱫ ᱞᱮᱠᱟᱱ ᱵᱟᱲᱛᱤ

ᱵᱷᱩᱜᱛᱟᱱ = 36/n − 1 · ᱵᱟᱲᱛᱤ = 1/37
04 · ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱟᱨ ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤ

ᱠᱮᱥᱤᱱᱳ ᱨᱮᱭᱟᱜ 2.70% ᱵᱟᱲᱛᱤ ᱚᱠᱟ ᱠᱷᱚᱱ ᱦᱮᱡᱚᱜ-ᱟ

ᱠᱷᱟᱴᱚ ᱛᱮᱞᱟ
ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱨᱩᱞᱮᱴ ᱨᱮ ᱡᱚᱛᱚ ᱥᱴᱮᱱᱰᱟᱨᱰ ᱵᱟᱡᱤ ᱨᱮ 2.70% ᱠᱮᱥᱤᱱᱳ ᱵᱟᱲᱛᱤ ᱢᱮᱱᱟᱜ-ᱟ᱾
ᱪᱮᱫᱟᱜ
37 ᱨᱮᱡᱟᱞᱴ ᱦᱩᱭ ᱫᱟᱲᱮᱭᱟᱜ ᱠᱟᱱ ᱦᱚᱸ ᱠᱮᱥᱤᱱᱳ ᱫᱚ ᱥᱴᱨᱮᱴ ᱚᱯ ᱡᱤᱛ ᱨᱮ 35:1 ᱵᱷᱩᱜᱛᱟᱱ ᱮᱫᱟ᱾ ᱱᱤᱭᱟᱭ ᱚᱰᱥ ᱫᱚ 36:1 ᱦᱩᱭᱩᱜ ᱛᱟᱦᱮᱸ ᱠᱟᱱᱟ᱾ ᱚᱱᱟ ᱟᱫ ᱟᱠᱟᱱ ᱭᱩᱱᱤᱴ, 37 ᱨᱮᱡᱟᱞᱴ ᱨᱮ ᱟᱸᱡᱮ ᱠᱟᱛᱮ, ᱜᱮ ᱵᱟᱲᱛᱤ ᱠᱟᱱᱟ᱾
ᱯᱷᱚᱨᱢᱩᱞᱟ
EV = (1/37)·(+35) + (36/37)·(−1)
   = 35/37 − 36/37
   = −1/37 ≈ −0.0270
ᱡᱚᱛᱚ ᱜᱚᱱᱤᱛ →
ᱢᱤᱫ ᱞᱮᱠᱟᱱ ᱵᱟᱡᱤ, ᱯᱮ ᱪᱟᱠᱟ
ᱭᱩᱨᱚᱯᱤᱭᱟᱱ
37 ᱠᱷᱟᱱᱟ · 1 ᱡᱤᱨᱚ
2.70%
ᱟᱢᱮᱨᱤᱠᱟᱱ
38 ᱠᱷᱟᱱᱟ · 0 ᱟᱨ 00
5.26%
ᱯᱷᱨᱮᱧᱪ
37 ᱠᱷᱟᱱᱟ · ᱞᱟ ᱯᱟᱨᱛᱟᱡᱽ
1.35%
ᱯᱷᱨᱮᱧᱪ ᱱᱤᱭᱚᱢ ᱫᱚ ᱥᱩᱢᱩᱝ ᱥᱚᱢᱟᱱ ᱴᱟᱠᱟ ᱵᱟᱡᱤ ᱨᱮ ᱵᱟᱲᱛᱤ ᱟᱫᱷᱟ ᱠᱚᱨᱟᱣ ᱮᱫᱟ: ᱡᱤᱨᱚ ᱦᱤᱡᱩᱜ ᱠᱷᱟᱱ, ᱞᱟ ᱯᱟᱨᱛᱟᱡᱽ ᱫᱚ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ ᱟᱫᱷᱟ ᱨᱩᱣᱟᱹᱲ ᱮᱢ ᱮᱫᱟ ᱟᱨ ᱚᱸ ᱯᱨᱤᱡᱚᱸ ᱫᱚ ᱚᱱᱟ ᱮᱴᱟᱜ ᱜᱷᱩᱨᱟᱹᱣ ᱞᱟᱹᱜᱤᱫ ᱫᱚᱦᱚ ᱮᱫᱟ᱾ ᱡᱩᱫᱤ ᱮᱴᱟᱜ ᱞᱮᱠᱟ ᱵᱟᱝ ᱞᱟᱹᱭ ᱟᱠᱟᱱ ᱠᱷᱟᱱ ᱱᱚᱣᱟ ᱥᱟᱭᱤᱴ ᱨᱮᱭᱟᱜ ᱡᱚᱛᱚ ᱠᱟᱛᱷᱟ ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱪᱟᱠᱟ ᱢᱟᱱᱟᱣ ᱮᱫᱟ᱾
05 · ᱥᱴᱨᱮᱴᱮᱡᱤ

ᱵᱟᱡᱤ ᱥᱤᱥᱴᱮᱢ ᱥᱟᱹᱨᱤ ᱛᱮ ᱪᱮᱫ ᱠᱚ ᱠᱚᱨᱟᱣᱟ

ᱢᱟᱨᱴᱤᱝᱜᱮᱞ ᱨᱮ, ᱡᱚᱛᱚ ᱦᱟᱹᱱᱤ ᱛᱟᱭᱚᱢ ᱟᱯᱮ ᱵᱟᱡᱤ ᱵᱟᱨ ᱜᱩᱱ ᱯᱮ ᱠᱚᱨᱟᱣᱟ᱾ ᱦᱩᱰᱤᱧ ᱡᱤᱛ ᱠᱚ ᱡᱚᱢᱟᱜ ᱫᱟᱲᱮᱭᱟᱜ-ᱟ, ᱛᱟᱭᱚᱢ ᱛᱮ ᱦᱟᱹᱱᱤ ᱨᱮᱭᱟᱜ ᱢᱤᱫ ᱞᱟᱜᱟᱛᱟᱨ ᱚᱱᱠᱚ ᱢᱮᱴᱟᱣ ᱫᱟᱲᱮᱭᱟᱜ-ᱟ᱾ ᱟᱸᱫᱟᱡᱽ ᱦᱟᱹᱱᱤ ᱫᱚ ᱵᱟᱡᱤ ᱞᱟᱜᱟᱣ ᱡᱚᱛᱚ ᱰᱚᱞᱟᱨ ᱯᱤᱪᱷᱤ 2.70% ᱜᱮ ᱛᱟᱦᱮᱸᱱᱟ᱾

ᱦᱟᱹᱱᱤ #ᱫᱟᱨᱟᱭ ᱵᱟᱡᱤᱡᱚᱛᱚ ᱡᱚᱠᱷᱤᱢp(ᱥᱮᱴᱮᱨ)
0$10$10100.00%
1$20$3051.35%
2$40$7026.37%
3$80$15013.54%
4$160$3106.95%
5$320$6303.57%
6$640$1,2701.83%
7$1,280$2,5500.94%
ᱵᱮᱥ ᱵᱟᱡᱤ $10, ᱴᱮᱵᱩᱞ ᱥᱤᱢᱟᱹ $500᱾ ᱛᱩᱨᱩᱭ ᱦᱟᱹᱱᱤ ᱛᱟᱭᱚᱢ ᱫᱟᱨᱟᱭ ᱵᱟᱡᱤ ᱫᱚ $640 ᱠᱟᱱᱟ, ᱥᱤᱢᱟᱹ ᱠᱷᱚᱱ ᱵᱮᱥᱤ: ᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱ ᱫᱚ $630 ᱦᱟᱹᱱᱤ ᱥᱟᱶ ᱨᱟᱹᱯᱩᱫᱚᱜ-ᱟ᱾ ᱟᱨᱟᱜ ᱨᱮ ᱞᱟᱜᱟᱛᱟᱨ ᱛᱩᱨᱩᱭ ᱦᱟᱹᱱᱤ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱫᱚ (19/37)^6 = 1.83% ᱠᱟᱱᱟ, ᱥᱟᱦᱟ ᱡᱚᱛᱚ 55 ᱪᱮᱥᱴᱟ ᱨᱮ ᱢᱤᱫ ᱫᱷᱟᱣ᱾
ᱢᱟᱨᱴᱤᱝᱜᱮᱞ ᱟᱨ ᱢᱤᱫ ᱞᱮᱠᱟᱱ ᱵᱟᱡᱤ · ᱥᱤᱰ ᱢᱮᱱᱟᱜ ᱢᱤᱫ ᱥᱮᱥᱚᱱ150 ᱜᱷᱩᱨᱟᱹᱣ · ᱟᱨᱟᱜ · ᱢᱩᱪᱟᱹᱫ: ᱢᱟᱨᱴ +$680 · ᱢᱤᱫ ᱞᱮᱠᱟᱱ −$120
+$690−$260
ᱢᱟᱨᱴᱤᱝᱜᱮᱞᱢᱤᱫ ᱞᱮᱠᱟᱱ $1010,000 ᱥᱮᱥᱚᱱ ᱪᱟᱞᱟᱣ →
06 · ᱨᱩᱞᱮᱴ ᱞᱮᱵ

ᱜᱚᱨᱚᱢ ᱮᱞ ᱫᱚ ᱡᱟᱹᱥᱛᱤ ᱠᱟᱛᱮ ᱦᱩᱞᱟᱹᱢ ᱜᱮ ᱠᱟᱱᱟ

ᱢᱤᱫ ᱴᱷᱤᱠ ᱪᱟᱠᱟ ᱦᱚᱸ ᱡᱟᱣᱜᱮ ᱮᱠᱷᱮᱨ ᱱᱢᱩᱱᱟ ᱮᱢ ᱮᱫᱟ᱾ ᱞᱮᱵ ᱨᱮ ᱪᱟᱠᱟ ᱟᱨ ᱵᱚᱞ ᱨᱮᱭᱟᱜ ᱯᱷᱤᱡᱤᱠᱥ, ᱵᱟᱭᱟᱥ ᱧᱟᱢ, ᱱᱢᱩᱱᱟ ᱢᱟᱯ ᱟᱨ ᱥᱟᱹᱨᱤ ᱠᱷᱟᱹᱢᱤ ᱟᱨ ᱥᱟᱜᱩᱱ ᱞᱟᱜᱟᱛᱟᱨ ᱨᱮᱭᱟᱜ ᱯᱷᱟᱨᱟᱠ ᱵᱟᱰᱟᱭ ᱞᱟᱹᱜᱤᱫ ᱞᱟᱹᱠᱛᱤ ᱥᱴᱮᱴᱤᱥᱴᱤᱠᱥ ᱢᱮᱱᱟᱜ-ᱟ᱾

ᱜᱷᱩᱨᱟᱹᱣ370
ᱡᱚᱛᱚ ᱠᱷᱚᱱ ᱜᱚᱨᱚᱢ ᱠᱷᱟᱱᱟ20 · 16 ᱦᱤᱴ (ᱟᱸᱫᱟᱡᱽ 10)
ᱠᱟᱭ-ᱥᱠᱣᱮᱭᱟᱨ (df 36)32.8
p ᱜᱚᱱᱚᱝ0.62
ᱵᱤᱪᱟᱹᱨᱵᱟᱭᱟᱥ ᱨᱮᱭᱟᱜ ᱡᱟᱦᱟᱱ ᱥᱟᱵᱩᱫ ᱵᱟᱹᱱᱩᱜ-ᱟ
ᱞᱮᱵ ᱨᱮ ᱵᱚᱞᱚᱱ ᱯᱮ →
ᱡᱚᱛᱚ ᱠᱷᱟᱱᱟ ᱨᱮ ᱧᱮᱞ ᱟᱠᱟᱱ ᱦᱤᱴ · ᱪᱟᱠᱟ ᱛᱟᱹᱞᱤᱠᱟᱹᱢᱤᱫᱢᱤᱫ ᱨᱮ ᱟᱸᱫᱟᱡᱽ 10
ᱥᱤᱰ ᱢᱮᱱᱟᱜ ᱴᱷᱤᱠ ᱪᱟᱠᱟ ᱱᱢᱩᱱᱟ᱾ ᱡᱚᱛᱚ ᱠᱷᱚᱱ ᱧᱩᱛ ᱡᱟᱭᱜᱟ ᱫᱚ “ᱜᱚᱨᱚᱢ ᱮᱞ” ᱞᱮᱠᱟ ᱧᱮᱞᱚᱜ-ᱟ; ᱠᱟᱭ-ᱥᱠᱣᱮᱭᱟᱨ ᱯᱚᱨᱚᱠᱷ ᱫᱚ ᱢᱮᱱ ᱮᱫᱟ ᱡᱮ ᱡᱚᱛᱚ ᱞᱮᱠᱷᱟ ᱫᱚ ᱥᱟᱫᱷᱟᱨᱚᱬ ᱜᱮ᱾
07 · ᱤᱱᱴᱟᱨᱮᱠᱴᱤᱵᱷ ᱦᱟᱹᱛᱤᱭᱟᱹᱨ

ᱮᱞ ᱠᱚ ᱟᱯᱮ ᱟᱡ ᱛᱮ ᱦᱤᱥᱟᱹᱵ ᱯᱮ

ᱡᱚᱛᱚ ᱦᱟᱹᱛᱤᱭᱟᱹᱨ →
roulette-odds-calculator/ᱨᱩᱞᱮᱴ ᱚᱰᱥ ᱠᱮᱞᱠᱩᱞᱮᱴᱚᱨᱡᱟᱦᱟᱱ ᱵᱟᱡᱤ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟ ᱟᱨ ᱵᱷᱩᱜᱛᱟᱱroulette-payout-calculator/ᱨᱩᱞᱮᱴ ᱵᱷᱩᱜᱛᱟᱱ ᱠᱮᱞᱠᱩᱞᱮᱴᱚᱨᱢᱤᱫ ᱵᱟᱡᱤ ᱴᱟᱠᱟ ᱨᱮᱭᱟᱜ ᱨᱩᱣᱟᱹᱲ ᱟᱨ ᱥᱩᱫᱽ ᱞᱟᱵᱷbet-builder/ᱵᱟᱡᱤ ᱵᱮᱱᱟᱣᱤᱡᱮᱞ ᱥᱟᱵ ᱯᱮ, ᱵᱟᱲᱛᱤ ᱟᱨ ᱟᱸᱫᱟᱡᱽ ᱦᱟᱹᱱᱤ ᱧᱮᱞ ᱯᱮwheel-visualizer/ᱪᱟᱠᱟ ᱧᱮᱞ ᱦᱟᱹᱛᱤᱭᱟᱹᱨᱪᱟᱠᱟ ᱨᱮ ᱥᱮᱠᱴᱚᱨ, ᱯᱟᱲᱚᱥᱤ ᱟᱨ ᱠᱚᱞ ᱵᱟᱡᱤroulette-session-simulator/ᱨᱩᱞᱮᱴ ᱥᱮᱥᱚᱱ ᱥᱤᱢᱩᱞᱮᱴᱚᱨᱢᱤᱫ ᱥᱮᱥᱚᱱ, ᱜᱷᱩᱨᱟᱹᱣ ᱛᱟᱭᱚᱢ ᱜᱷᱩᱨᱟᱹᱣroulette-strategy-simulator/ᱨᱩᱞᱮᱴ ᱥᱴᱨᱮᱴᱮᱡᱤ ᱥᱤᱢᱩᱞᱮᱴᱚᱨᱡᱟᱦᱟᱱ ᱥᱤᱥᱴᱮᱢ ᱨᱮᱭᱟᱜ 10,000 ᱥᱮᱥᱚᱱroulette-martingale-simulator/ᱨᱩᱞᱮᱴ ᱢᱟᱨᱴᱤᱝᱜᱮᱞ ᱥᱤᱢᱩᱞᱮᱴᱚᱨᱯᱨᱚᱜᱽᱨᱮᱥᱚᱱ ᱫᱚ ᱛᱤᱱᱟᱹᱜ ᱫᱷᱟᱣ ᱨᱟᱹᱯᱩᱫᱚᱜ-ᱟroulette-bankroll-calculator/ᱨᱩᱞᱮᱴ ᱠᱷᱮᱞ ᱯᱩᱸᱡᱤ ᱠᱮᱞᱠᱩᱞᱮᱴᱚᱨᱢᱤᱫ ᱞᱚᱜᱚᱱ ᱨᱮ ᱵᱟᱡᱮᱴ ᱫᱚ ᱛᱤᱱᱟᱹᱜ ᱡᱮᱞᱮᱧ ᱥᱮᱱᱚᱜ-ᱟrisk-of-ruin-calculator/ᱯᱩᱸᱡᱤ ᱢᱩᱪᱟᱹᱫ ᱡᱚᱠᱷᱤᱢ ᱠᱮᱞᱠᱩᱞᱮᱴᱚᱨᱞᱤᱠᱷᱤᱭᱟᱹ ᱥᱮᱴᱮᱨ ᱢᱟᱲᱟᱝ ᱨᱮ ᱯᱩᱸᱡᱤ ᱢᱩᱪᱟᱹᱫ ᱨᱮᱭᱟᱜ ᱥᱚᱢᱵᱷᱟᱵᱱᱟroulette-wheel-bias-analyzer/ᱨᱩᱞᱮᱴ ᱪᱟᱠᱟ ᱵᱟᱭᱟᱥ ᱡᱟᱸᱪᱤᱡᱟᱯᱮᱭᱟᱜ ᱜᱷᱩᱨᱟᱹᱣ ᱞᱚᱜ ᱨᱮ ᱠᱟᱭ-ᱥᱠᱣᱮᱭᱟᱨ ᱯᱚᱨᱚᱠᱷ
08 · ᱞᱟᱭᱤᱵᱷ ᱨᱩᱞᱮᱴ

ᱢᱤᱫ ᱥᱟᱹᱨᱤ ᱪᱟᱠᱟ, ᱢᱤᱫ ᱠᱮᱢᱮᱨᱟ, ᱟᱨ ᱢᱤᱫ ᱵᱟᱡᱤ ᱚᱠᱛᱚ

ᱢᱤᱫ ᱞᱟᱭᱤᱵᱷ ᱴᱮᱵᱩᱞ ᱫᱚ ᱥᱴᱩᱰᱤᱭᱳ ᱠᱷᱚᱱ ᱢᱤᱫ ᱥᱟᱹᱨᱤ ᱪᱟᱠᱟ ᱥᱴᱨᱤᱢ ᱮᱫᱟ᱾ ᱨᱮᱡᱟᱞᱴ ᱫᱚ ᱰᱤᱞᱟᱨ ᱟᱨ ᱠᱮᱢᱮᱨᱟ ᱪᱤᱱᱦᱟᱹᱣ ᱥᱤᱥᱴᱮᱢ ᱛᱮ ᱯᱟᱲᱦᱟᱣᱚᱜ-ᱟ, ᱛᱟᱭᱚᱢ ᱛᱮ ᱡᱚᱛᱚ ᱠᱷᱮᱞᱚᱸᱰ ᱟᱜ ᱥᱠᱨᱤᱱ ᱛᱮ ᱠᱩᱞᱚᱜ-ᱟ᱾ ᱚᱰᱥ ᱫᱚ ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱚᱰᱥ ᱜᱮ; ᱡᱟᱦᱟᱸ ᱵᱚᱫᱚᱞᱚᱜ-ᱟ ᱚᱱᱟ ᱫᱚ ᱞᱚᱜᱚᱱ, ᱫᱮᱨᱤ ᱟᱨ ᱵᱟᱡᱤ ᱚᱠᱛᱚ᱾

ᱞᱟᱭᱤᱵᱷ ᱨᱩᱞᱮᱴ ᱪᱮᱫ ᱞᱮᱠᱟ ᱪᱟᱞᱟᱜ-ᱟ →
00:00
ᱥᱴᱩᱰᱤᱭᱳ ᱪᱟᱠᱟ
ᱢᱤᱫ ᱥᱟᱹᱨᱤ ᱪᱟᱠᱟ, ᱡᱟᱹᱥᱛᱤ ᱠᱟᱛᱮ 80 cm, ᱰᱤᱞᱟᱨ ᱛᱮ ᱜᱷᱩᱨᱟᱹᱣ
ᱥᱟᱹᱨᱤ
00:00
ᱠᱮᱢᱮᱨᱟ ᱟᱨ ᱮᱱᱠᱳᱰᱤᱝ
ᱟᱭᱢᱟ ᱫᱷᱟᱨᱮ ᱠᱷᱚᱱ ᱵᱷᱤᱰᱤᱭᱳ, ᱟᱯᱮᱭᱟᱜ ᱥᱠᱨᱤᱱ ᱛᱮ ᱥᱴᱨᱤᱢ
~1–3 s
00:20
ᱵᱟᱡᱤ ᱚᱠᱛᱚ
ᱞᱟᱦᱟ ᱵᱷᱩᱜᱛᱟᱱ ᱛᱟᱭᱚᱢ ᱠᱷᱩᱞᱟᱹᱭᱚᱜ-ᱟ, “ᱟᱨ ᱵᱟᱡᱤ ᱵᱟᱝ” ᱨᱮ ᱵᱚᱸᱫᱚᱜ-ᱟ
15–30 s
00:45
ᱨᱮᱡᱟᱞᱴ ᱪᱤᱱᱦᱟᱹᱣ
ᱰᱤᱞᱟᱨ ᱯᱚᱠᱟ ᱮᱫᱟᱭ; ᱚᱯᱴᱤᱠᱟᱞ ᱪᱤᱱᱦᱟᱹᱣ ᱥᱤᱥᱴᱮᱢ ᱠᱷᱟᱱᱟ ᱯᱟᱲᱦᱟᱣ ᱮᱫᱟ
< 1 s
00:50
ᱦᱤᱥᱟᱹᱵ ᱢᱤᱴᱟᱹᱣ
ᱥᱟᱨᱵᱷᱟᱨ ᱵᱟᱡᱤ ᱦᱤᱥᱟᱹᱵ ᱮᱫᱟ, ᱥᱴᱨᱤᱢ ᱨᱮ ᱰᱚᱞᱤ ᱧᱮᱞᱚᱜ-ᱟ
ᱟᱡ ᱛᱮ
09 · ᱤᱛᱤᱦᱟᱹᱥ ᱟᱨ ᱞᱟᱠᱪᱟᱨ

ᱯᱟᱥᱠᱟᱞ ᱟᱜ ᱠᱟᱹᱢᱤ ᱠᱩᱴᱤ ᱠᱷᱚᱱ ᱢᱚᱱᱴᱮ ᱠᱟᱨᱞᱚ ᱦᱟᱹᱵᱤᱡ

ᱯᱩᱨᱟᱹ ᱤᱛᱤᱦᱟᱹᱥ →
1655ᱯᱟᱥᱠᱟᱞ ᱟᱜ ᱪᱟᱠᱟᱵᱞᱮᱡᱽ ᱯᱟᱥᱠᱟᱞ (Blaise Pascal) ᱫᱚ ᱡᱟᱣᱜᱮ ᱪᱟᱞᱟᱜ ᱢᱮᱥᱤᱱ ᱥᱟᱶ ᱯᱚᱨᱚᱠᱷ ᱮ ᱠᱚᱨᱟᱣᱟ; ᱜᱷᱩᱨᱟᱹᱣ ᱪᱟᱠᱟ ᱫᱚ ᱚᱱᱟ ᱩᱭᱦᱟᱹᱨ ᱠᱷᱚᱱ ᱡᱮᱞᱮᱧ ᱛᱟᱦᱮᱸ ᱮᱱᱟ᱾
1796ᱯᱮᱨᱤᱥᱢᱤᱫ ᱱᱚᱵᱷᱮᱞ ᱫᱚ ᱯᱟᱞᱮ-ᱨᱚᱭᱟᱞ ᱨᱮᱭᱟᱜ ᱢᱤᱫ ᱡᱩᱣᱟ ᱚᱲᱟᱜ ᱨᱮ 0 ᱟᱨ 00 ᱵᱟᱨᱭᱟ ᱢᱮᱱᱟᱜ ᱨᱩᱞᱮᱴ ᱵᱟᱵᱚᱛ ᱞᱟᱹᱭ ᱮᱫᱟ᱾
1843ᱵᱟᱰ ᱦᱚᱢᱵᱩᱨᱜᱯᱷᱨᱟᱸᱥᱣᱟ ᱟᱨ ᱞᱩᱭᱤ ᱵᱞᱟᱸ ᱫᱚ ᱮᱴᱟᱜ ᱠᱮᱥᱤᱱᱳ ᱠᱚ ᱠᱷᱚᱱ ᱥᱚᱥᱛᱟ ᱦᱩᱭ ᱞᱟᱹᱜᱤᱫ ᱥᱤᱝᱜᱚᱞ ᱡᱤᱨᱚ ᱪᱟᱠᱟ ᱠᱤᱱ ᱮᱦᱚᱵ ᱠᱮᱫᱟ᱾
1863ᱢᱚᱱᱴᱮ ᱠᱟᱨᱞᱚᱵᱞᱟᱸ ᱫᱚ ᱢᱚᱱᱟᱠᱳ ᱨᱮᱭᱟᱜ ᱠᱮᱥᱤᱱᱳ ᱮ ᱦᱟᱛᱟᱣ ᱠᱮᱫᱟ; ᱥᱤᱝᱜᱚᱞ ᱡᱤᱨᱚ ᱫᱚ ᱭᱩᱨᱚᱯᱤᱭᱟᱱ ᱥᱴᱮᱱᱰᱟᱨᱰ ᱦᱩᱭ ᱮᱱᱟ᱾
ᱥᱟᱦᱟ 1880ᱡᱮᱜᱟᱨ ᱟᱜ ᱪᱟᱠᱟᱡᱚᱥᱮᱯᱷ ᱡᱮᱜᱟᱨ (Joseph Jagger) ᱫᱚ ᱟᱭᱢᱟ ᱦᱟᱯᱛᱟ ᱪᱟᱠᱟ ᱠᱚ ᱮ ᱧᱮᱞ ᱠᱮᱫᱟ ᱟᱨ ᱢᱚᱱᱴᱮ ᱠᱟᱨᱞᱚ ᱨᱮ ᱢᱤᱫ ᱵᱟᱭᱟᱥ ᱪᱟᱠᱟ ᱮ ᱵᱮᱵᱷᱟᱨ ᱠᱮᱫᱟ᱾
1891ᱪᱟᱨᱞᱥ ᱣᱮᱞᱥᱣᱮᱞᱥ ᱫᱚ ᱫᱚᱦᱲᱟ ᱫᱚᱦᱲᱟ “ᱵᱮᱸᱠ ᱨᱟᱹᱯᱩᱫ ᱮᱫᱟᱭ”; ᱱᱚᱣᱟ ᱠᱟᱹᱢᱤ ᱫᱚ ᱢᱤᱫ ᱢᱤᱭᱩᱡᱤᱠ-ᱦᱚᱞ ᱥᱮᱨᱮᱧ ᱦᱩᱭ ᱮᱱᱟ᱾
10 · ᱜᱮᱭᱟᱱ ᱵᱷᱚᱸᱰᱟᱨ ᱧᱮᱞ ᱯᱮ

236 ᱥᱟᱦᱴᱟ, ᱡᱚᱛᱚ ᱵᱩᱡᱷᱟᱹᱣ ᱞᱟᱹᱜᱤᱫ ᱢᱤᱫ