Amatego ya rimwe kuri rimwe ku meza ya ruleti y'Ubufaransa: p n'iriha ntibihinduka, EV −1,35%, σ ≈ 0,99.

Imibare ya Ruleti · Inyandiko yo kurabirako · iminota 5

Imbonerahamwe y'Igipimo c'Ugushoboka n'Ugushoboka muri Ruleti

Itego ryose risanzwe hamwe n'ugushoboka kwaryo, iriha ryaryo, agaciro kitezweimibareAgaciro kitezweIvyavuyemwo vy'impuzandengo kuri buri tego mu gihe kirekire. −1/37 c'amahera y'itego kuri buri tego risanzwe ry'i Buraya.Soma vyose → n'itandukaniro risanzwe.

Inyishu ngufi

Amatego yose afise agaciro kitezwe kamwe, −2,70% vy'amahera y'itego. Atandukanira gusa ku gushoboka no ku kwikwiragiza.

amatego ari ku rutonde

EV, amatego yose

−2,70%

urugero rwa σ

kuva 1,00 gushika 5,84

amatego avugwa

na yo ni 2,70%

Ukuntu wosoma iyi mbonerahamwe y'ugushoboka muri ruleti

UgushobokaimibareUgushobokaUgushoboka kw'ivyavuyemwo, kuva kuri 0 gushika kuri 1 canke 0% gushika 100%. Inomero imwe: 1/37 = 2,70%.Soma vyose → kukubwira incuro utsinda; irihaamaheraIrihaIvyo itego ritsinze rizana, bivugwa nka “X kuri 1” hiyongereyeko amahera y'itego asubizwa.Soma vyose →, rivugwa nk'igipimo c'ugushoboka muri ruleti, rikubwira ingene utsinda; σ ikubwira ingene urugendo ruzoba rufise ivyobo. Inkingi ya EV ingana ku murongo wose kubera ukuntu ruleti yubatswe, ku buryo iyi mbonerahamwe ari urutonde rw'amahindagurikaimibareIhindagurika ry'IvyavuyemwoIgipimo c'ukuntu ivyavuyemwo bikwiragira kure y'agaciro kitezwe. Kinini kuri straight up, gito ku matego ya rimwe kuri rimwe.Soma vyose → ku giciro kimwe.

itegorifatap(gutsinda)rihaσ kuri $1

Straight up1/372,70%35:15,84

Split2/375,41%17:14,09

Street3/378,11%11:13,28

Corner4/3710,81%8:12,84

Six line6/3716,22%5:12,23

Umurwi12/3732,43%2:11,39

Inkingi12/3732,43%2:11,39

Rimwe kuri rimwe18/3748,65%1:11,00

EV ni −$0,027 kuri $1 ku murongo wose.

Amatego avugwa

Amatego y'igice c'uruzigauruzigaIgice c'uruzigaUrukurikirane rw'utuzu dufatanye ku ruziga, rutandukanye n'umugwi w'inomero ku kibaho c'amatego.Soma vyose → ni imvange y'amatego asanzwe kandi araga inyungu ya kazino yayo. Rimwe rimwe rifise uburyo bwaryo bwo kuriha kubera ko amajetoniamaheraJetoniIkimenyetso gihagararira amahera adahinduka, gishirwa ku kibaho c'amatego kugira ngo utege. Kandi citwa: check.Soma vyose → adashirwa ku rugero rumwe.

itego rivugwaamajetonirifatap(gufata iyo ari yo yose)inyungu nyakuri iyo bifashe (ibice)EV ku gice

Ababanyi (5)55/3713,51%+31−2,70%

Jeu zéro47/3718,92%+14 canke +32−2,70%

Orphelins58/3721,62%+13 canke +31−2,70%

Tiers du cylindre612/3732,43%+12−2,70%

Voisins du zéro917/3745,95%+9 canke +15−2,70%

Agaciro Kitezwe k'Amatego Avugwa

Ku kuzunguruka kwinshi

Ugushoboka kwo gufata nibura incuro imwe mu kuzunguruka k, ku bibazo bike bikunda kubazwa.

itegomu kuzunguruka 10mu kuzunguruka 37mu kuzunguruka 100

Straight up24,0%63,7%93,5%

Split42,6%87,1%99,6%

Corner68,1%98,6%> 99,9%

Umurwi98,0%> 99,9%> 99,9%

Zeru (yonyene)24,0%63,7%93,5%

1 − (1 − p)ᵏ.

Ukwikwiragiza mu gihe c'ugukina

Itandukaniro risanzweimibareItandukaniro risanzweUmuzi kare w'ihindagurika ry'ivyavuyemwo; intera isanzwe iri hagati y'ivyavuyemwo n'agaciro kitezwe.Soma vyose → ry'igihe c'ugukina c'ukuzunguruka 100 utega $10 ataco uhinduye, ku itego rimwe rimwe, hamwe n'ivyavuyemwo vyitezwe bisangiwe vya −$27.

σ y'ukuzunguruka 100 utega $10$

Straight up

$584

Split

$409

Street

$328

Corner

$284

Six line

$223

Umurwi / inkingi

$139

Rimwe kuri rimwe

$100

0292$584

Ibibazo

Ni kubera iki EV ingana ku murongo wose?

Kubera ko iriha ryose ari 36/n − 1 aho kuba iriha ritabogamye rya 37/n − 1. Raba urupapuro rw'inyungu ya kazinoimibareInyungu ya kazinoIgice c'amahera y'itego kazino igumana ku mpuzandengo: 2,70% muri ruleti y'i Buraya.Soma vyose →.

La partage iri he?

Amatego ya rimwe kuri rimweitegoItego rya rimwe kuri rimweGitukura/cirabura, igiharwe/igiharuro, binini/bito. Inomero 18, riha 1:1.Soma vyose → ku meza ya ruleti y'Ubufaransa: p n'iriha ntibihinduka, EV −1,35%, σ ≈ 0,99.

Hari imbonerahamwe y'uruziga rwa ruleti y'Amerika?

Gabanya kuri 38 aho kuba 37 maze inkingi ya EV ihinduke −5,26% ku murongo wose, −7,89% ku itego ry'inomero zitanu.

Agakuru ko gutwenga

$Amatego icenda, agaciro kitezwe kamwe, nta kwibuka.$

Amatego icenda, agaciro kitezwe kamwe, nta kwibuka.

Aho Twakuye

Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Igice ca 13, ruleti.

vyasubiwemwo 2026-09-28icitegererezo: ruleti y'i Buraya, zeru imweuburyo dukoresha ↗amasoko ↗