Matematik Ruleet · Tuugnorde · hojomaaji 5

Tabalo Kot e Porobabilite Ruleet

Pari kala ruleet ndenndaandi e porobabilite mum, njoɓdi mum, njaru fodaandumatematikNjaru fodaanduNjeñtudi hakkundeere e kala pari e juuta. −1/37 pari ngam kala pari Orop laawol.Tar fof → mum e seerndu ndenndaandu mum.

Jaabawol rabbiɗngol

Pariiji ɗii fof ina renndi njaru fodaandu wootere, −2,70% pari. Ina ceerti tan e porobabilite e yaajeende.

pariiji limtaaɗi
9
EV, pariiji fof
−2,70%
keeri σ
1,00 haa 5,84
pariiji wiyaaɗi
ɗum kadi 2,70%

Hono njanngirtaa tabalo kot ruleet o

PorobabilitematematikPorobabiliteSahaa njeñtudi, immorde 0 haa 1 walla 0% haa 100%. Limoore wootere: 1/37 = 2,70%.Tar fof → ina sikkina ma no ɗum ina heewi dañde; njoɓdikaalisNjoɓdiKo pari dañndi ruttata, wiyaa “X e 1” ɓeydaa e pari ruttaaɗo.Tar fof → ndii, wiyaandi kot ruleet, ina sikkina ma ko foti; σ ina sikkina ma no laawol ngol ina wayi ina caɗi. Kolon EV ina fota e laawol kala sabu no tabalo o mahiraa, ɗum noon tabalo o ko limto wariyaasuujimatematikWariyaasPeeta no njeñtuɗi saŋkitiri e njaru fodaandu. Ina toowi ngam limoore wootere, ina lesɗi ngam pariiji njoɓdi fotndi.Tar fof → e coggu gooto tabitɗo.

pariina hupip(dañde)ina yoɓaσ e $1 kala
Limoore wootere1/372,70%35:15,84
Limooje ɗiɗi2/375,41%17:14,09
Limooje tati3/378,11%11:13,28
Limooje nay4/3710,81%8:12,84
Limooje jeegom6/3716,22%5:12,23
Sappo e ɗiɗi12/3732,43%2:11,39
Kolon12/3732,43%2:11,39
Njoɓdi fotndi18/3748,65%1:11,00
EV ko −$0,027 e $1 kala e laawol kala.

Pariiji wiyaaɗi

Pariiji geɗe taarordetaarordeGeɗal taarordeCeeɓnde cuuɗi takkondirɗi e taarorde, ceertunde e mooftere e tapi.Tar fof → ko kawtal pariiji ndenndaaɗi, ina ndonoo ɓural mum. Kala e mum ina jogii mbaadi njoɓdi mum sabu jetoŋjikaalisJetoŋMaande hollirde kaalis tabitiiɗo, waɗetee e tapi ngam waɗde pari. Ina wiyee kadi: check.Tar fof → ɗii pecciraaka e fotde.

pari wiyaandijetoŋjiina hupip(hewtude kala)dañal so hewtii (initeeji)EV e inite kala
Takkoyɗe (5)55/3713,51%+31−2,70%
Jeu zéro47/3718,92%+14 walla +32−2,70%
Orphelins58/3721,62%+13 walla +31−2,70%
Tiers du cylindre612/3732,43%+12−2,70%
Voisins du zéro917/3745,95%+9 walla +15−2,70%

Njaru Fodaandu Pariiji Wiyaaɗi

E nder taarle keewɗe

Porobabilite hewtude ko famɗi fof laabi gooto e nder taarle k, ngam naamne seeɗa ɗe yimɓe ɓuri naamnaade.

parie nder taarle 10e nder taarle 37e nder taarle 100
Limoore wootere24,0%63,7%93,5%
Limooje ɗiɗi42,6%87,1%99,6%
Limooje nay68,1%98,6%> 99,9%
Sappo e ɗiɗi98,0%> 99,9%> 99,9%
Seero (tan)24,0%63,7%93,5%
1 − (1 − p)ᵏ.

Yaajeende jonɗe

Seerndu ndenndaandumatematikSeerndu ndenndaanduRaasin karee wariyaas; ko woɗɗeende aadanteende njeñtudi e njaru fodaandu.Tar fof → jonnde taarle 100 e pari fotɗi $10, e pari kala, e njeñtudi fodaandi wootere renndaandi −$27.

σ taarle 100 e $10$
Limoore wootere
$584
Limooje ɗiɗi
$409
Limooje tati
$328
Limooje nay
$284
Limooje jeegom
$223
Sappo e ɗiɗi / kolon
$139
Njoɓdi fotndi
$100
$
0292$584

Naamne

Ko waɗi EV ina fota e laawol kala?

Sabu njoɓdi kala ko 36/n − 1 e nder 37/n − 1 potndi. Ƴeew hello ɓural kasinomatematikƁural kasinoGeɗal kala pari ngal kasino jogiiyata e hakkundeere: 2,70% e ruleet Orop.Tar fof → ngo.

Hol to la partage woni?

Pariiji njoɓdi fotndipariPari njoɓdi fotndiBoɗeere/ɓaleere, peccotaake/peccotoonde, mawɗe/tokooseeje. Limooje 18, ina yoɓa 1:1.Tar fof → e taabal Farayse: p e njoɓdi ina ngoni no ngonnoo, EV −1,35%, σ ≈ 0,99.

Mbele tabalo ina woodi ngam taarorde Amerik?

Feccir e 38 nden e 37, kolon EV ina wonta −5,26% e laawol kala, −7,89% ngam pari limooje joy.

Ƴeewndo weltinoowo

Pariiji jeenay, njaru fodaandu wootere, alaa siftorde.

Pariiji jeenay, njaru fodaandu wootere, alaa siftorde.

Iwdi

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Pecco 13, ruleet.
ƴeewtaa 2026-09-28misal: ruleet Orop, seero gootolaawol golle ↗iwdi ↗