Te Pāngarau o te Rūreti · Tohutoro · 5 meneti

Te Tūtohi Tūpono me te Tūponotanga Rūreti

Ia peti paerewa me tōna tūponotanga, utunga, uara tūmanakopāngarauUara tūmanakoTe hua toharite mō ia peti i te wā roa. −1/37 o te moni peti mō ia peti Ūropi paerewa.Pānuitia katoatia → me tōna hipanga paerewa.

Whakautu poto

He ōrite te uara tūmanako o ngā peti katoa, arā, −2.70% o te moni peti. Ko te tūponotanga me te hora anake te rerekētanga.

ngā peti kua whakarārangitia
9
EV, ngā peti katoa
−2.70%
awhe σ
1.00 ki te 5.84
ngā peti karanga
2.70% hoki

Me pēhea te pānui i tēnei tūtohi tūpono rūreti

Ka kōrero te tūponotangapāngarauTūponotangaTe tūpono o tētahi putanga, mai i te 0 ki te 1, mai i te 0% ki te 100% rānei. Tau kotahi: 1/37 = 2.70%.Pānuitia katoatia → ki a koe e hia te auau o tō toa; ka kōrero te utungamoniUtungaTe moni ka whakahokia e te peti toa, ka kīia ko “X ki te 1”, hei tāpiri ki te moni peti ka whakahokia.Pānuitia katoatia →, e kīia ana ko ngā tūpono rūreti, e hia te nui; ka kōrero te σ e pēhea te tūpekepeke o te haerenga. He ōrite te tīwae EV i ia rārangi nā te hanga tonu, nō reira he rārangi kai o ngā tītaringapāngarauTītaringaHe inenga o te whānui o te marara o ngā hua huri noa i te uara tūmanako. He teitei mō te tau kotahi, he hakahaka mō ngā peti utu ōrite.Pānuitia katoatia → te tūtohi nei i te utu kotahi.

petika hipokip(toa)ka utuσ mō ia $1
Tau kotahi1/372.70%35:15.84
Takirua2/375.41%17:14.09
Rārangi3/378.11%11:13.28
Kokonga4/3710.81%8:12.84
Rārangi ono6/3716.22%5:12.23
Tatini12/3732.43%2:11.39
Tīwae12/3732.43%2:11.39
Utu ōrite18/3748.65%1:11.00
Ko te EV he −$0.027 mō ia $1 i ia rārangi.

Ngā peti karanga

Ko ngā peti wāhangawīraWāhangaHe pewa kōhao honohono i te wīra, he rerekē i tētahi rōpū i te mahere peti.Pānuitia katoatia → he huinga o ngā peti paerewa, ā, ka riro mai i a rātou tō rātou painga. He āhua utunga motuhake tō ia peti nā te mea kāore i te ōrite te tohatoha o ngā maramaramoniMaramaraHe tohu e tohu ana i tētahi moni pūmau, ka whakatakotoria ki te mahere peti hei peti. Arā anō: check.Pānuitia katoatia →.

peti karangamaramaraka hipokip(pā tētahi)huamoni ina pā (wae)EV mō ia wae
Kiritata (5)55/3713.51%+31−2.70%
Jeu zéro47/3718.92%+14, +32 rānei−2.70%
Orphelins58/3721.62%+13, +31 rānei−2.70%
Tiers du cylindre612/3732.43%+12−2.70%
Voisins du zéro917/3745.95%+9, +15 rānei−2.70%

Te Uara Tūmanako o ngā Peti Karanga

I ngā hurihanga maha

Ngā tūponotanga kia kotahi te pā, neke atu rānei, i ngā hurihanga k, mō ētahi pātai noa.

petii ngā hurihanga 10i ngā hurihanga 37i ngā hurihanga 100
Tau kotahi24.0%63.7%93.5%
Takirua42.6%87.1%99.6%
Kokonga68.1%98.6%> 99.9%
Tatini98.0%> 99.9%> 99.9%
Kore (motuhake)24.0%63.7%93.5%
1 − (1 − p)ᵏ.

Ngā hora o te wā tākaro

Te hipanga paerewapāngarauHipanga paerewaTe pūtake rua o te tītaringa; te tawhiti noa o te hua i te uara tūmanako.Pānuitia katoatia → o te wā tākaro hurihanga 100 ki te $10 papatahi, mō ia peti, me te hua tūmanako ōrite o te −$27.

σ o ngā hurihanga 100 ki te $10$
Tau kotahi
$584
Takirua
$409
Rārangi
$328
Kokonga
$284
Rārangi ono
$223
Tatini / tīwae
$139
Utu ōrite
$100
$
0292$584

Ngā pātai

He aha i ōrite ai te EV i ia rārangi?

Nā te mea ko ia utunga he 36/n − 1 ki te utu tōkeke 37/n − 1. Tirohia te whārangi painga o te wharepāngarauPainga o te whareTe wāhanga o ia moni peti ka puritia e te whare petipeti i te toharite: 2.70% i te rūreti Ūropi.Pānuitia katoatia →.

Kei hea te la partage?

Ko ngā peti utu ōritepetiPeti utu ōriteWhero/pango, kehe/taurite, teitei/hakahaka. 18 ngā tau, ko te utunga 1:1.Pānuitia katoatia → i te tēpu Wīwī: kāore e rerekē te p me te utunga, ko te EV −1.35%, σ ≈ 0.99.

He tūtohi rānei mō te wīra Amerika?

Wehea ki te 38, kaua ki te 37, ā, ka −5.26% te tīwae EV i ia rārangi, −7.89% mō te peti tau e rima.

He katakata iti

E iwa ngā peti, kotahi te uara tūmanako, kore he mahara.

E iwa ngā peti, kotahi te uara tūmanako, kore he mahara.

Ngā Puna

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Upoko 13, rūreti.
i arotakehia 2026-09-28tauira: Ūropi, kore kotahitikanga mahi ↗ngā puna kōrero ↗