Roulette ƒe akɔntabubu · Akɔntabubu ƒe kuxi · aɖabaƒoƒo 7

Kuxi: ɣeyiɣi ka hafi zero nado

Zero dzena zi ɖeka le trɔtrɔ 37 me le titina me. Ɣeyiɣi ka nàlala vavã, eye nu ka wòwɔna na amesi ɖoa bɛt sɔsɔe?

Ŋuɖoɖo kpui

Lalaɣi va ɖo zero nye geometric: titina trɔtrɔ 37, titinatɔ 25, eye lalaɣi ɖeka le blaeve me wua trɔtrɔ 110. Le fefeɣi si xɔ trɔtrɔ 200 me la, amesi ɖoa bɛt sɔsɔe kpɔa mɔ na zero 5.4, eye àkpɔ tso 1 va ɖo 10.

lalaɣi titina
trɔtrɔ 37
lalaɣi titinatɔ
trɔtrɔ 25
p(zero aɖeke medze o le trɔtrɔ 100 me)
6.5%
zerowo le trɔtrɔ 200 me
5.4 ± 2.3

Kuxi la

ZeroʋuafɔZeroDo gbemumu ɖeka si dzi bɛt sɔsɔe, wuieve alo sɔti ƒe bɛt aɖeke metsyɔna o; kasino ƒe viɖe ƒe dzɔtsoƒe. Woyɔnɛ hã be zero ɖeka, 0.Xlẽe blibo → ƒe mɔnukpɔkpɔakɔntabubuMɔnukpɔkpɔMɔnukpɔkpɔ be emetsonu aɖe nadzɔ, tso 0 va ɖo 1 alo tso 0% va ɖo 100%. Xexlẽdzesi ɖeka: 1/37 = 2.70%.Xlẽe blibo → nye 1/37 le trɔtrɔ ɖe sia ɖe me. (a) Mɔnukpɔkpɔ ka li be zero aɖeke madze o le trɔtrɔ 37 siwo gbɔna me? (b) Lalaɣi titinatɔ ka? (c) Le bɛt sɔsɔe ƒe fefeɣi si xɔ trɔtrɔ 200 me la, zero nenie wòle be fefewɔla nakpɔ mɔ na, eye nu ka nye eƒe didime?

Ŋuɖoɖowo

(a) (36/37)³⁷ = 36.3%. Wu akpa etɔ̃ me ɖeka la, trɔtrɔ 37 vana yina eye zero aɖeke medzena kura o, si nye akɔntabubu ɖeka ma ke si gblɔ be “xexlẽdzesi ɖeka ƒe bɛtbɛtXexlẽdzesi ɖekaXexlẽdzesi ɖeka, fetu 35:1.Xlẽe blibo → nadze zi ɖeka ya teti le trɔtrɔ 37 me” nye 63.7% ko. (b) Lalaɣi W nye geometric; p(W > k) = (36/37)ᵏ; titinatɔ nye k si gbɔ esia to 0.5 le, si nye k ≈ 25. Lalaɣiwo ƒe afã nye trɔtrɔ 25 alo kpuie wu, eye afã didi wu; asike didi la dzia titina 37 ɖe dzi. (c) Zerowo le trɔtrɔ 200 me nye binomial kple titina 200/37 = 5.4 kple kakaɖe ƒe dzidzenuakɔntabubuKakaɖe ƒe dzidzenuKakaɖe ƒe ke; didime si emetsonu aɖe ɖona tso asixɔxɔ si wokpɔ mɔ na gbɔ zi geɖe.Xlẽe blibo → √(200 × (1/37) × (36/37)) ≈ 2.3. Didime 95% nye abe 1 va ɖo 10 ene.

lalaɣi va ɖo zeromɔnukpɔkpɔ
le trɔtrɔ 10 me24.0%
le trɔtrɔ 25 me49.6%
le trɔtrɔ 37 me63.7%
le trɔtrɔ 50 me74.6%
le trɔtrɔ 100 me93.5%
wu trɔtrɔ 110≈ 5%
wu trɔtrɔ 2000.4%
p(W ≤ k) = 1 − (36/37)ᵏ. Titina 37, titinatɔ 25.

Nu si zero xɔna tso amesi ɖoa bɛt sɔsɔe si

Zero ɖe sia ɖe xɔa bɛtga ɖeka, eye zerowoe nye kasino ƒe viɖe blibo la le dzĩbɛtDzĩBɛt sɔsɔe ɖe xexlẽdzesi dzĩ 18 la dzi. Le Frans gbe me: rouge.Xlẽe blibo → dzi: le trɔtrɔ 37 titina me la, dziɖuɖu 18 kple gabubu 18 tutua wo nɔewo ɖa, eye zero ɖeka la nye −1/37. Le fefeɣi si xɔ trɔtrɔ 200 kple $10 me la, zero 5.4 si wokpɔ mɔ na xɔa $54, si nye 200 × $10 / 37 pɛpɛpɛ. Fefeɣi si me zero 2 dze le kpɔ dzɔgbenyui $34; fefeɣi si me zero 9 dze le kpɔ dzɔgbevɔ̃ $36, eye wòanɔ abe woblee ene. Le la partageseLa partageFrans se: ne zero do la, bɛt sɔsɔe ƒe bɛtga ƒe afã gbugbɔna vana. Eɖe kasino ƒe viɖe le bɛt mawo dzi ɖe afã me va ɖo 1.35%.Xlẽe blibo → kplɔ̃ dzi la, zero ɖe sia ɖe xɔa bɛtga ƒe afã, eye xexlẽdzesiawo ɖina ɖe afã.

Zerowo le fefeɣi si xɔ trɔtrɔ 200 me% le fefeɣiwo me
0–1
2.5%
2–3
18%
4–5
34%
6–7
28%
8–9
13%
10 alo wu
4.5%
% le fefeɣiwo me
01734%
Binomial(200, 1/37). Amesi ɖoa $10 ɖe dzĩ dzi xea $10 le zero ɖe sia ɖe nu; zerowo ƒe kakaɖe nye fiẽ la ƒe asi ƒe kakaɖe.

La Partage ƒe se le roulette meƉe woble roulette le internet dzi? Dzixɔse tovo la

Nyabiase si kplɔe ɖo

Mɔnukpɔkpɔ ka li be zero eve nadze ɖe wo nɔewo yome? (1/37)² = 1/1,369. Le kasino si wɔa kplɔ̃ 20 kple trɔtrɔ 50 le gaƒoƒo ɖeka me la, ema nye zero eve ɖe wo nɔewo yome abe zi ɖeka ene le afi aɖe le gaƒoƒo 1.4 ɖe sia ɖe me. Fefewɔla siwo kpɔe tsoa nya me be ʋuafɔ la gblẽ; akɔntabubu gblɔ be Blaɖa gbe ko wònye.

Te ekpɔ

Fefeɣi ƒe kpɔɖeŋumɔ̃ la xlẽa zerowo le fefeɣi ɖe sia ɖe me. Wɔ trɔtrɔ 100 zi alafa ʋɛ aɖewo eye nàɖe xexlẽme la fia le nɔnɔmetata me: histogram si le etame la adze, kple eƒe asike didi le ɖusime. Asike la mee ŋutinyawo tsona.

Akɔntaŋɔŋlɔ

p(W > k) = (36/37)ᵏ
E[W] = 37 · titinatɔ ≈ 25
zerowo le trɔtrɔ N me ~ Binomial(N, 1/37)

Nyabiasewo

Ɖe zero dzena wu le ʋuafɔ aɖewo dzi?

Le ʋuafɔ dzɔdzɔe dzi la, ao. Le ʋuafɔ si ɖea akpanumekuƒeƲuafɔ si ɖea akpaƲuafɔ si ƒe gbegblẽwo na be dowo dometɔ aɖewo ƒe mɔnukpɔkpɔ de to wu 1/37. Mesɔ gbɔ o, eye woate ŋu adze sii to trɔtrɔ akpe geɖe siwo woŋlɔ ɖi me ko.Xlẽe blibo → dzi la, dodɔwɔnuDoDo 37 siwo dzi xexlẽdzesiwo le le rotor la dzi dometɔ ɖeka. Woyɔnɛ hã be slot, cup.Xlẽe blibo → ɖe sia ɖe ate ŋu adze wu, eye ahiã trɔtrɔ akpewo hafi woanyae.

Ɖe wòle be maɖo gakpe ɖe zero dzi ɣesiaɣi abe afɔkuxexe ene?

Enye bɛt 2.70% abe bubu ɖe sia ɖe ene. Etrɔa fefeɣi la ƒe nɔnɔme (zero zua dziɖuɖu), gake metrɔa asi la o.

Nu ka ta titinatɔ sue wu titina?

Elabena lalaɣiwo ƒe mama meɖɔ ɖo o: lalaɣi kpui geɖe, kple didi ŋutɔ ʋɛ aɖewo.

Nukokoe sue

Titina 37, titinatɔ 25, kple asike didi afi si glinyawo nɔna.

Titina 37, titinatɔ 25, kple asike didi afi si glinyawo nɔna.

Nunyaƒewo

  1. Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, ɖeɖe 3lia, 1968. Gafefela ƒe gaƒoƒu blibo bubu, ta XIV.
  2. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Ta 13, roulette.
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