Te Pāngarau o te Rūreti · Whakahāngai · 7 meneti

Te Uara Tūmanako o ngā Peti Karanga

Voisins, tiers, orphelinsFR · wāhangaOrphelins“Pani”: ngā tau e waru i toe i te voisins me te tiers: 17, 34, 6 me 1, 20, 14, 31, 9.Pānuitia katoatia →, ngā kiritata me te jeu zéro, kua tātaihia ia mea ki tōna −1/37 mō ia maramara.

Whakautu poto

Ko ngā peti karanga he huinga o ngā peti paerewa me ngā taumaha rerekē, nō reira ka rerekē ō rātou utunga i ia kōhaotaputapuKōhaoTētahi o ngā wehenga e 37 kua tauia i te rōta. Arā anō: slot, cup.Pānuitia katoatia →. Ko ia mea he −2.70% tonu o te moni peti katoa, nā te mea ka tāpiri ngā uara tūmanako. Ka whakaatu te whārangi nei i te tātai mō ngā mea e rima.

ngā peti karanga
5 paerewa
maramara
4 ki te 9
EV mō ia maramara
−1/37
ka rerekē ngā utunga i ia kōhao
āe

He aha i rerekē ai te āhua

Kotahi noa te putanga e utu ana i te tau kotahipetiTau kotahiHe tau kotahi, ko te utunga 35:1.Pānuitia katoatia →. E toru ngā 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 → rerekē o te Voisins du zéroFR · wāhangaVoisins du zéro“Ngā kiritata o te kore”: ngā tau tekau mā whitu mai i te 22 ki te 25 i te wīra, ka petihia ki ngā maramara e iwa.Pānuitia katoatia →, i runga anō i te taunga o te pōrotaputapuPōroTe pōro iti ka panga ki te ara, ki te ahunga kōaro ki te rōta. Ko ngā pōro o nāianei he ivorine, he Teflon rānei, 18–21 mm.Pānuitia katoatia → ki te rārangipetiRārangiNgā tau e toru i tētahi rārangi o te mahere peti, ko te utunga 11:1. Wīwī: transversale.Pānuitia katoatia → taumaha-rua, ki te kokongapetiKokongaNgā tau e whā e tiritahi ana i tētahi kokonga i te mahere peti, ko te utunga 8:1.Pānuitia katoatia → taumaha-rua, ki tētahi takiruapetiTakiruaNgā tau e rua e tata ana, ko te utunga 17:1.Pānuitia katoatia → kotahi rānei. Ka hunaia e te kanorau tētahi mea pūmau: ko ia maramaramoniMaramaraHe tohu e tohu ana i tētahi moni pūmau, ka whakatakotoria ki te mahere peti hei peti. Arā anō: check.Pānuitia katoatia → i roto i te peti he peti noa me te EV −1/37 o tōna ake rahi, ā, ko te katoa te tapeke.

Voisins du zéro (9 maramara, 17 tau)

E 2 ki te 0-2-3 (rārangi, ka utu 11), e 2 ki te 25-26-28-29 (kokonga, ka utu 8), 1 ki ia takirua 4-7, 12-15, 18-21, 19-22, 32-35 (ka utu 17). Ka pā i te rārangi: +22 − 7 = +15. Ka pā i te kokonga: +16 − 7 = +9. Ka pā i tētahi takirua: +17 − 8 = +9. Ka hapa: −9. EV = (3 × 15 + 4 × 9 + 10 × 9 − 20 × 9)/37 = (45 + 36 + 90 − 180)/37 = −9/37. E iwa ngā maramara, −9/37: −1/37 mō ia maramara.

peti karangamaramaraka hipokingā putanga (wae huamoni, kōhao)EV (wae)
Voisins du zéro917+15 × 3 · +9 × 14 · −9 × 20−9/37
Tiers du cylindre612+12 × 12 · −6 × 25−6/37
Orphelins (en cheval)58+31 × 2 · +13 × 6 · −5 × 29−5/37
Kiritata (5)55+31 × 5 · −5 × 32−5/37
Jeu zéro47+32 × 1 · +14 × 6 · −4 × 30−4/37
Ngā wāhanga e toru katoa2037+15/+9/+12/+31/+13 i ia kōhao; kāore e hapa−20/37
Wehea te EV ki ngā maramara, ā, he −1/37 ia rārangi.

Tiers du cylindre (6 maramara, 12 tau)

E ono ngā takirua, ka utu 17 ia mea. Ka pā tētahi: +17 − 5 = +12. Ka hapa: −6. EV = (12 × 12 − 25 × 6)/37 = (144 − 150)/37 = −6/37. Te peti karangatēpuPeti karangaHe peti ka pānuitia ki te kaitiritiri, kāore e whakatakotoria ā-ringa, i te nuinga he peti wāhanga wīra pērā i te voisins, i te tiers rānei. Arā anō: “peti pānui”.Pānuitia katoatia → papatahi rawa: kotahi te utunga, kotahi te ngaronga.

Orphelins (5 maramara, 8 tau)

1 tau kotahi ki te 1 (ka utu 35), ngā takirua 6-9, 14-17, 17-20, 31-34 (ka utu 17). Ka pā i te 1: +35 − 4 = +31. Ka pā i te 17 (e rua ngā takirua): +34 − 3 = +31. Ka pā i te 6, 9, 14, 20, 31, 34: +17 − 4 = +13. Ka hapa: −5. EV = (31 + 31 + 6 × 13 − 29 × 5)/37 = (62 + 78 − 145)/37 = −5/37.

Ngā kiritata me te jeu zéro

Ngā kiritatapetiKiritataHe tau me ngā kōhao e rua i ia taha ōna i te wīra, e rima ngā maramara tau kotahi.Pānuitia katoatia →: e rima ngā tau kotahi; ka pā tētahi +35 − 4 = +31; EV = (5 × 31 − 32 × 5)/37 = (155 − 160)/37 = −5/37. Jeu zéroFR · wāhangaJeu zéro“Kēmu kore”: ngā tau e whitu e tata rawa ana ki te kore (12, 35, 3, 26, 0, 32, 15), ka petihia ki ngā maramara e whā.Pānuitia katoatia →: ngā takirua 0-3, 12-15, 32-35 me tētahi tau kotahi ki te 26; ka pā i te 26: +35 − 3 = +32; ka pā tētahi takirua: +17 − 3 = +14; EV = (32 + 6 × 14 − 30 × 4)/37 = (32 + 84 − 120)/37 = −4/37.

Te tūponotanga ka pā tētahi, ngā peti karanga% o ngā hurihanga
Jeu zéro (7)
18.9%
Kiritata (5)
13.5%
Orphelins (8)
21.6%
Tiers (12)
32.4%
Voisins (17)
45.9%
Ngā mea e toru (37)
100%
% o ngā hurihanga
050100%
Mā te hipoki i ngā mea katoa ki ngā maramara 20, ka tūturu he hua i waenga i te −2 me te +16 wae, me te EV −20/37. Ko te utu o taua tūturutanga he 2.70%, pērā i ngā mea katoa.

Te Peti Rūreti Jeu Zéro

I te wīra hiko

Ko te Roulette Evolution a IGT, e ai ki tā Bollman (2021) whakamārama, ka tuku i ēnei peti karanga i tētahi wīra hiko korewīraKoreTe kōhao kākāriki kotahi kāore e kapia e tētahi peti utu ōrite, tatini, tīwae rānei; te pūtake o te painga o te whare. Arā anō: kore kotahi, 0.Pānuitia katoatia → kotahi. Kāore te tātai e rerekē: he −1/37 tonu ia mea mō ia maramara. Ko te mea ka rerekē ko te tohe kotahi a ngā kaitākaro mō ngā peti wāhangawīraWāhangaHe pewa kōhao honohono i te wīra, he rerekē i tētahi rōpū i te mahere peti.Pānuitia katoatia →. I te tēpu tūturu, e whakapono ana ētahi ka taea e rātou te pānui pai i ngā tikanga a te kaitiritiri me te tere o te hurihanga kia matapae ai i te rohe ka taka te pōro, e kīia ana ko te ine wā wīra, ā, ko te peti karanga te huarahi māori hei peti i tētahi rohe. Kāore he kaitiritiri hei pānui i te wīra hiko, ā, kua ngaro taua tohe, he ngoikore nei i te tēpu tūturu.

I te wīra hiko, kāore he kaitiritiri hei pānui, ā, ka ngaro tahi te tohe mō te peti i tētahi rohe o te wīra.

Ngā Pūrere Rūreti Hiko

Te akoranga

He mea whakangāwari ngā peti karanga, ehara i te pāngarau. Ko rātou te huarahi tere rawa hei peti i tētahi wāhanga wīra, ā, ko te huarahi anake hei mahi i tēnā i te pānui kotahi. He ōrite tō rātou 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 → mō ia maramara ki te tau kotahi māmā rawa, ā, ko te kanorau o ngā utunga he pukapuka kaute noa, ehara i te painga.

Tātai

EV(peti karanga) = Σ EV(maramara) = −(maramara)/37
huamoni ina pā = utunga i te maramara toa − ngā maramara hinga

Ngā pātai

He uara pai ake rānei tō tētahi peti karanga?

Kāo. He −1/37 ia mea mō ia maramara. Ko te hipokinga me te āhua o te utunga te rerekētanga.

He aha i utu ai te orphelins i te +31 i te 17?

E rua ngā takirua kei roto te 17, nō reira ka utu te pā i te 17 kia rua, ā, e toru noa ngā maramara ka ngaro.

Ka ahatia mēnā ka peti au i te voisins me ngā maramara e 2 mō ia tūranga?

18 ngā maramara, kua rearuatia ia utunga, EV −18/37. Kāore te whakarahi e huri i tētahi mea.

He Pārekareka te Pāngarau

Me whakamātau koe i ēnei i te tuatahi. Kua kōpakina ia otinga; whakatuwherahia ina rite koe.

  1. Ka tukuna e tētahi wīra hiko ngā peti karangatēpuPeti karangaHe peti ka pānuitia ki te kaitiritiri, kāore e whakatakotoria ā-ringa, i te nuinga he peti wāhanga wīra pērā i te voisins, i te tiers rānei. Arā anō: “peti pānui”.Pānuitia katoatia → Wīwī: tiers (6 maramaramoniMaramaraHe tohu e tohu ana i tētahi moni pūmau, ka whakatakotoria ki te mahere peti hei peti. Arā anō: check.Pānuitia katoatia →), jeu zéroFR · wāhangaJeu zéro“Kēmu kore”: ngā tau e whitu e tata rawa ana ki te kore (12, 35, 3, 26, 0, 32, 15), ka petihia ki ngā maramara e whā.Pānuitia katoatia → (4), orphelinsFR · wāhangaOrphelins“Pani”: ngā tau e waru i toe i te voisins me te tiers: 17, 34, 6 me 1, 20, 14, 31, 9.Pānuitia katoatia → (5), voisins (9) me ngā kiritatapetiKiritataHe tau me ngā kōhao e rua i ia taha ōna i te wīra, e rima ngā maramara tau kotahi.Pānuitia katoatia → (5). Mō ia mea, ka hia te auau e toa ai i tētahi mea, ā, he aha tōna utu?

    Whakaaturia te otinga

    Whakautu He 2.70% te utu o ia mea. Ka toa i tētahi mea i ngā hurihanga 12, 7, 8, 17 me te 5 o ia 37.

    Ka ahu mai te utu i te ture o tēnei whārangi: he peti noa ia maramara ka ngaro te 1/37 o tōna ake uara, ā, ka tāpiri ngā 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 →.

    Ko te tūpono ka toa i tētahi mea, ko te maha o ngā kōhaotaputapuKōhaoTētahi o ngā wehenga e 37 kua tauia i te rōta. Arā anō: slot, cup.Pānuitia katoatia → e hipokina ana e te peti, i ngā 37. Ka hipokina e tiers ngā 12, e jeu zéro ngā 7, e orphelins ngā 8, ā, e voisins ngā 17. Ka hipokina e ngā kiritata tētahi tau me ngā kōhao e rua ki ia taha i runga i te wīra: 5.

    Ka whakamāramatia e Bollman (2021) te jeu zéro me ngā maramara e whā ki te 26, kaua ko te kotahi. Ka puta he peti maramara 7, ā, ka rerekē ōna 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 →, kaua tōna utu: 2.70% tonu.

    petimaramarakōhao e hipokina anaka toa i tētahi meapainga o te whare
    tiers61232.4%2.70%
    jeu zéro4718.9%2.70%
    orphelins5821.6%2.70%
    voisins91745.9%2.70%
    kiritata5513.5%2.70%

He katakata iti

E iwa ngā maramara, e iwa ngā toru tekau mā whitu. Ko te tātai ko ngā maramara.

E iwa ngā maramara, e iwa ngā toru tekau mā whitu. Ko te tātai ko ngā maramara.

Ngā Puna

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Upoko 13, rūreti.
  2. Wykes, A. The Complete Illustrated Guide to Gambling. Doubleday, 1964.
  3. Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette. CRC Press, 2021. Upoko 2, rūreti.
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