Matematik Ruleet · Kuutoragol · hojomaaji 7

Njaru Fodaandu Pariiji Wiyaaɗi

Voisins, tiers, orphelinsFR · geɗal taarordeOrphelins“Ɓiɓɓe ɓe ɓaaba alaa”: limooje jeetati ɗe voisins e tiers ndaccii: 17, 34, 6 e 1, 20, 14, 31, 9.Tar fof →, takkoyɗe e jeu zéro, kala e mum hiisaa haa −1/37 e jetoŋ kala.

Jaabawol rabbiɗngol

Pariiji wiyaaɗi ko kawtal pariiji ndenndaaɗi e teddeendi ceertuɗi, ɗum noon njoɓdi mum ina waylitoo e suudukuutorɗeSuuduGootel e cuuɗi 37 limoraaɗi e rotoor. Ina noddee kadi: wenndu, kopp.Tar fof →. Kala e mum ko −2,70% pari fof tawon, sabu njaru fodaandu ina kawtoo. Hello ngoo ina holla hiisa joy ɗii fof.

pariiji wiyaaɗi
5 ndenndaaɗi
jetoŋji
4 haa 9
EV e jetoŋ kala
−1/37
njoɓdi ina waylitoo e suudu
eey

Ko waɗi ɗi ceerti e yiyde

Limoore wooterepariLimoore wootereLimoore wootere tan, ina yoɓa 35:1.Tar fof → ina jogii njeñtudi wootere yoɓeteendi. Voisins du zéroFR · geɗal taarordeVoisins du zéro“Takkoyɗe seero”: limooje sappo e jeeɗiɗi immorde 22 haa 25 e taarorde, pariyaaɗe e jetoŋji jeenay.Tar fof → ina jogii njoɓdikaalisNjoɓdiKo pari dañndi ruttata, wiyaa “X e 1” ɓeydaa e pari ruttaaɗo.Tar fof → tati ceertuɗi, e no balkuutorɗeBalBal tokoosal werlaangal e laawol ngol e laawol rotoor ngol. Balli jamaanu hannde ko ivorine walla Teflon, 18–21 mm.Tar fof → oo tellirta: e limooje tatipariLimooje tatiLimooje tati e lelnde wootere e tapi, ina yoɓa 11:1. E Farayse: transversale.Tar fof → jogiiɗe jetoŋji ɗiɗi, e limooje naypariLimooje nayLimooje nay sendiiɗe kooñal gootal e tapi, ina yoɓa 8:1.Tar fof → jogiiɗe jetoŋji ɗiɗi walla e limooje ɗiɗipariLimooje ɗiɗiLimooje ɗiɗi takkondirɗe, ina yoɓa 17:1.Tar fof → jogiiɗe jetoŋ gooto. Ceertugol ngol ina suuɗa huunde tabitnde: kala jetoŋkaalisJetoŋMaande hollirde kaalis tabitiiɗo, waɗetee e tapi ngam waɗde pari. Ina wiyee kadi: check.Tar fof → nder pari ndii ko pari ndenndaandi jogiindi EV −1/37 mayri, fof ko kawtal mum.

Voisins du zéro (jetoŋji 9, limooje 17)

2 e 0-2-3 (limooje tati, ina yoɓa 11), 2 e 25-26-28-29 (limooje nay, ina yoɓa 8), 1 kala e limooje ɗiɗi 4-7, 12-15, 18-21, 19-22, 32-35 (ina yoɓa 17). Hewtude e limooje tati: +22 − 7 = +15. Hewtude e limooje nay: +16 − 7 = +9. Hewtude e limooje ɗiɗi: +17 − 8 = +9. Ronkude hewtude: −9. EV = (3 × 15 + 4 × 9 + 10 × 9 − 20 × 9)/37 = (45 + 36 + 90 − 180)/37 = −9/37. Jetoŋji jeenay, −9/37: −1/37 e jetoŋ kala.

pari wiyaandijetoŋjiina hupinjeñtuɗi (initeeji laaɓɗi, cuuɗi)EV (initeeji)
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
Takkoyɗe (5)55+31 × 5 · −5 × 32−5/37
Jeu zéro47+32 × 1 · +14 × 6 · −4 × 30−4/37
Geɗe tati ɗee fof kawtuɗe2037+15/+9/+12/+31/+13 e suudu; alaa ronkude hewtude−20/37
Feccir EV e jetoŋji, laawol kala ina wonta −1/37.

Tiers du cylindre (jetoŋji 6, limooje 12)

Limooje ɗiɗi jeegom, kala e mum ina yoɓa 17. Hewtude kala: +17 − 5 = +12. Ronkude hewtude: −6. EV = (12 × 12 − 25 × 6)/37 = (144 − 150)/37 = −6/37. Pari wiyaanditaabalPari wiyaandiPari wiyetee kurupiye, wonaa waɗeede e jungo, ko ɓuri heewde pari e geɗal taarorde hono voisins walla tiers. Ina wiyee kadi “pari anndinaandi”.Tar fof → ɓurndi fotde: njoɓdi wootere, majjere wootere.

Orphelins (jetoŋji 5, limooje 8)

1 limoore wootere e 1 (ina yoɓa 35), limooje ɗiɗi 6-9, 14-17, 17-20, 31-34 (ina yoɓa 17). Hewtude e 1: +35 − 4 = +31. Hewtude e 17 (limooje ɗiɗi laabi ɗiɗi): +34 − 3 = +31. Hewtude e 6, 9, 14, 20, 31, 34: +17 − 4 = +13. Ronkude hewtude: −5. EV = (31 + 31 + 6 × 13 − 29 × 5)/37 = (62 + 78 − 145)/37 = −5/37.

Takkoyɗe e jeu zéro

TakkoyɗepariTakkoyɗeLimoore e cuuɗi ɗiɗi e kala sera mayre e taarorde, jetoŋji joy limoore wootere.Tar fof →: pariiji limoore wootere joy; hewtude kala +35 − 4 = +31; EV = (5 × 31 − 32 × 5)/37 = (155 − 160)/37 = −5/37. Jeu zéroFR · geɗal taarordeJeu zéro“Fijo seero”: limooje jeeɗiɗi ɓadiiɗe seero (12, 35, 3, 26, 0, 32, 15), pariyaaɗe e jetoŋji nay.Tar fof →: limooje ɗiɗi 0-3, 12-15, 32-35 e limoore wootere e 26; hewtude e 26: +35 − 3 = +32; hewtude e limooje ɗiɗi: +17 − 3 = +14; EV = (32 + 6 × 14 − 30 × 4)/37 = (32 + 84 − 120)/37 = −4/37.

Porobabilite hewtude kala, pariiji wiyaaɗi% taarle
Jeu zéro (7)
18,9%
Takkoyɗe (5)
13,5%
Orphelins (8)
21,6%
Tiers (12)
32,4%
Voisins (17)
45,9%
Tati ɗee fof (37)
100%
% taarle
050100%
Hupde fof e jetoŋji 20 ina hoolnii njeñtudi hakkunde −2 e +16 initeeji e EV −20/37. Hoolaare nden ina coggoo 2,70% hono kala huunde.

Pari Jeu zéro e Ruleet

E taarorde elektoronik

Roulette Evolution mo IGT, hono no Bollman (2021) sifori ɗum, ina rokka pariiji wiyaaɗi ɗii e taarorde elektoronik seerotaarordeSeeroSuudu haako wootere nde hay pari njoɓdi fotndi, sappo e ɗiɗi walla kolon kuuɓataa; ko ɗum woni iwdi ɓural kasino. Ina noddee kadi: seero gooto, 0.Tar fof → gooto. Hiisa ngal waylotaako: kala e mum ko −1/37 e jetoŋ kala tawon. Ko waylotoo ko daliilu gootu ngu fijooɓe ndokkata ngam pariiji geɗe taarordetaarordeGeɗal taarordeCeeɓnde cuuɗi takkondirɗi e taarorde, ceertunde e mooftere e tapi.Tar fof →. E taabal goonga, woɓɓe ina sikki ina mbaawi janngude jikkuuji kurupiye oo e yaawngal taarol ngol ngam anndude geɗal ɗo bal oo yanata, ɗum ina wiyee wheel clocking, pari wiyaandi kadi ko laawol ɓurngol newnude ngam waɗde pari e geɗal. Taarorde elektoronik alaa kurupiye janngeteeɗo, daliilu ngun, ngu semmbaaki e taabal goonga, majjii.

E taarorde elektoronik alaa kurupiye janngeteeɗo, daliilu waɗde pari e geɗal taarorde kadi ina majja e mum.

Masinaaji Ruleet Elektoronik

Ekkitinol ngol

Pariiji wiyaaɗi ko newnugol, wonaa matematik. Ko laawol ɓurngol yaawde ngam waɗde pari e geɗal taarorde e laawol gootol ngol waawi waɗde ɗum e anndinol gootol. Njaru fodaandumatematikNjaru fodaanduNjeñtudi hakkundeere e kala pari e juuta. −1/37 pari ngam kala pari Orop laawol.Tar fof → mum ko gooto e jetoŋ kala e limoore wootere ɓurnde newnude, ceertugol njoɓdi ko hiisa binndol, wonaa ɓural.

Formil

EV(pari wiyaandi) = Σ EV(jetoŋji) = −(jetoŋji)/37
dañal so hewtii = njoɓdi jetoŋ(ji) dañooji − jetoŋji majjooji

Naamne

Mbele pari wiyaandi woodi ɓurndi moƴƴude?

Alaa. Kala e mum ko −1/37 e jetoŋ kala. Ina ceerti e ko ɗi kupi e mbaadi njoɓdi.

Ko waɗi orphelins ina yoɓa +31 e 17?

Pariiji limooje ɗiɗi ɗiɗi ina njogii 17, ɗum noon hewtude ina yoɓa 17 laabi ɗiɗi, ina majjina jetoŋji tati tan.

So mi waɗii voisins e jetoŋji 2 e nokku kala nden?

Jetoŋji 18, njoɓdi kala ɓeydaa laabi ɗiɗi, EV −18/37. Mawninde ɗum waylataa hay huunde.

Weltaare e Matematik

Etu ɗum hoore maa adii. Kala jaabawol ina suuɗii; uddit ɗum so a heblii.

  1. Taarorde elektoronik ina rokka pariiji wiyaaɗitaabalPari wiyaandiPari wiyetee kurupiye, wonaa waɗeede e jungo, ko ɓuri heewde pari e geɗal taarorde hono voisins walla tiers. Ina wiyee kadi “pari anndinaandi”.Tar fof → Farayse: tiers (jetoŋjikaalisJetoŋMaande hollirde kaalis tabitiiɗo, waɗetee e tapi ngam waɗde pari. Ina wiyee kadi: check.Tar fof → 6), jeu zéroFR · geɗal taarordeJeu zéro“Fijo seero”: limooje jeeɗiɗi ɓadiiɗe seero (12, 35, 3, 26, 0, 32, 15), pariyaaɗe e jetoŋji nay.Tar fof → (4), orphelinsFR · geɗal taarordeOrphelins“Ɓiɓɓe ɓe ɓaaba alaa”: limooje jeetati ɗe voisins e tiers ndaccii: 17, 34, 6 e 1, 20, 14, 31, 9.Tar fof → (5), voisins (9) e takkoyɗepariTakkoyɗeLimoore e cuuɗi ɗiɗi e kala sera mayre e taarorde, jetoŋji joy limoore wootere.Tar fof → (5). E kala e majji, ko laabi njelu ina daña huunde, ko ɗum coggata?

    Hollu jaabawol ngol

    Jaabawol Kala e majji ina coggi 2,70%. Ina ndaña huunde e taarle 12, 7, 8, 17 e 5 e 37.

    Coggu ngu ina iwa e sariya hello ngoo: jetoŋ kala ko pari ordinaare majjata 1/37 mum, njaru fodaandumatematikNjaru fodaanduNjeñtudi hakkundeere e kala pari e juuta. −1/37 pari ngam kala pari Orop laawol.Tar fof → kadi ina hawtee.

    Porobabilite dañde huunde ko keewal cuuɗikuutorɗeSuuduGootel e cuuɗi 37 limoraaɗi e rotoor. Ina noddee kadi: wenndu, kopp.Tar fof → ɗi pari oo hawti, e 37. Tiers ina hawta 12, jeu zéro 7, orphelins 8 e voisins 17. Takkoyɗe ina hawta limoore e cuuɗi ɗiɗi e kala ɓadde mum e taarorde: 5.

    Bollman (2021) ina sifa jeu zéro e jetoŋji nay e 26 nde wonaa gootal. Ɗum ina waɗa pari jetoŋji 7, ina waylita njoɓdikaalisNjoɓdiKo pari dañndi ruttata, wiyaa “X e 1” ɓeydaa e pari ruttaaɗo.Tar fof → mum, wonaa coggu mum: ko 2,70% tan.

    parijetoŋjicuuɗi hawtaaɗiina daña huundeɓural kasino
    tiers61232,4%2,70%
    jeu zéro4718,9%2,70%
    orphelins5821,6%2,70%
    voisins91745,9%2,70%
    takkoyɗe5513,5%2,70%

Ƴeewndo weltinoowo

Jetoŋji jeenay, jeenay e nder tapanɗe tati e jeeɗiɗi. Hiisa ngal ko jetoŋji ɗii.

Jetoŋji jeenay, jeenay e nder tapanɗe tati e jeeɗiɗi. Hiisa ngal ko jetoŋji ɗii.

Iwdi

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Pecco 13, ruleet.
  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. Pecco 2, ruleet.
ƴeewtaa 2026-09-28misal: ruleet Orop, seero gootolaawol golle ↗iwdi ↗