Lissafin roulette · Bayani · minti 5

Teburin damar nasara da yiwuwa a roulette

Kowace caca ta yau da kullum tare da yiwuwarta, biyanta, ƙimar da ake tsammanilissafiƘimar da ake tsammaniMatsakaicin sakamako a kowace caca a cikin dogon lokaci. −1/37 na kuɗin caca a kowace cacar Turai ta yau da kullum.Karanta gaba ɗaya → da standard deviation ɗinta.

Amsa a taƙaice

Dukkan cace-cace suna da ƙimar da ake tsammani iri ɗaya, −2.70% na kuɗin caca. Sun bambanta ne kawai a yiwuwa da bazuwa.

cace-cacen da aka jera
9
EV, dukkan cace-cace
−2.70%
zangon σ
1.00 zuwa 5.84
cace-cacen baki
su ma 2.70%

Yadda ake karanta wannan teburin damar roulette

YiwuwalissafiYiwuwaDamar faruwar wani sakamako, daga 0 zuwa 1 ko daga 0% zuwa 100%. Lamba ɗaya: 1/37 = 2.70%.Karanta gaba ɗaya → tana gaya muku sau nawa kuke cin nasara; biyakuɗiBiyaAbin da cacar da ta ci ke dawowa da shi, ana faɗinsa a matsayin “X zuwa 1” a kan kuɗin cacar da aka mayar.Karanta gaba ɗaya →, wanda ake bayyanawa a matsayin damar roulette, tana gaya muku nawa za ku samu; σ tana gaya muku yadda sakamakon zai riƙa hawa da sauka. Ginshiƙin EV daidai yake a kowane layi bisa tsarin wasan, don haka teburin a zahiri jerin bambancin sakamakolissafiBambancin sakamakoMa'aunin yadda sakamako ke yaɗuwa a kewayen ƙimar da ake tsammani. Yana da girma ga straight up, ƙanƙanta ga cace-cacen ɗaya zuwa ɗaya.Karanta gaba ɗaya → ne a farashi ɗaya tak.

cacalambobin da take rufewap(nasara)biyaσ a kan $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
Dozin12/3732.43%2:11.39
Ginshiƙi12/3732.43%2:11.39
Cacar ɗaya zuwa ɗaya18/3748.65%1:11.00
EV −$0.027 ne a kan kowane $1 a kowane layi.

Cace-cacen baki

Cace-cacen sashen dabarandabaranSasheRamuka da ke bin juna a jere a kan dabaran kamar baka, sabanin ƙungiyar lambobi a kan teburin caca.Karanta gaba ɗaya → haɗaɗɗun cace-cace ne na yau da kullum, kuma suna gadon fifikonsu. Kowacce tana da irin biyanta saboda ba a raba tsabobin cacakuɗiTsabar cacaAlamar da ke wakiltar ƙayyadadden adadin kuɗi, wadda ake ajiyewa a kan teburin caca don yin caca. Ana kuma kiranta: check.Karanta gaba ɗaya → daidai ba.

cacar bakitsabobin cacalambobin da take rufewap(kowace nasara)ribar tsaf idan an ci (raka'a)EV a kan raka'a
Maƙwabta (5)55/3713.51%+31−2.70%
Jeu zéro47/3718.92%+14 ko +32−2.70%
Orphelins58/3721.62%+13 ko +31−2.70%
Tiers du cylindre612/3732.43%+12−2.70%
Voisins du zéro917/3745.95%+9 ko +15−2.70%

Ƙimar da ake tsammani ta cace-cacen baki

A cikin juye-juye da yawa

Yiwuwar samun aƙalla nasara ɗaya a cikin juye-juye k, don wasu tambayoyi da aka saba yi.

cacaa juye-juye 10a juye-juye 37a juye-juye 100
Straight up24.0%63.7%93.5%
Split42.6%87.1%99.6%
Corner68.1%98.6%> 99.9%
Dozin98.0%> 99.9%> 99.9%
Sifili (takamaimai)24.0%63.7%93.5%
1 − (1 − p)ᵏ.

Bazuwar sakamako a zaman wasa

Standard deviationlissafiStandard deviationTushen murabba'i na bambancin sakamako; nisan da sakamako ke yawan yi daga ƙimar da ake tsammani.Karanta gaba ɗaya → na zaman wasa na juye-juye 100 da $10 a kowane juyi ba tare da canji ba, bisa ga caca, tare da sakamakon da ake tsammani na bai ɗaya na −$27.

σ na juye-juye 100 da $10$
Straight up
$584
Split
$409
Street
$328
Corner
$284
Six line
$223
Dozin / ginshiƙi
$139
Cacar ɗaya zuwa ɗaya
$100
$
0292$584

Tambayoyi

Me ya sa EV daidai yake a kowane layi?

Saboda kowane biya 36/n − 1 ne a maimakon biyan adalci na 37/n − 1. Ku duba shafin fifikon gidan cacalissafiFifikon gidan cacaKason kowane kuɗin caca da gidan caca ke riƙewa a matsakaici: 2.70% a roulette na Turai.Karanta gaba ɗaya →.

Ina la partage yake?

Cace-cacen ɗaya zuwa ɗayacacaCacar ɗaya zuwa ɗaya (even-money)Ja/baƙi, mara/cika, manya/ƙanana. Lambobi 18, biya 1:1.Karanta gaba ɗaya → a teburin Faransa: p da biya ba su canja ba, EV −1.35%, σ ≈ 0.99.

Akwai tebur na dabaran Amurka?

Ku raba da 38 maimakon 37, sai ginshiƙin EV ya zama −5.26% a kowane layi, da −7.89% ga cacar lambobi biyar.

Ɗan barkwanci

Cace-cace tara, ƙimar da ake tsammani ɗaya, babu ƙwaƙwalwa.

Cace-cace tara, ƙimar da ake tsammani ɗaya, babu ƙwaƙwalwa.

Majiyoyi

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Babi na 13, roulette.
an duba 2026-09-28samfuri: na Turai, sifili ɗayahanyar aiki ↗majiyoyi ↗