Azal yettwaṛǧan n rrhun s wawal
Voisins, tiers, orphelinsFR · tagzemtOrphelins«Igujilen»: tam n wuṭṭunen i d-yeqqimen deffir voisins d tiers: 17, 34, 6 d 1, 20, 14, 31, 9.Ɣer akk →, lǧiran d jeu zéro, yal yiwen yettwaḥseb alamma d −1/37-ines i yal ajiṭun.

Rrhun s wawal d isemlilen n rrhun imagnuten s taẓayt ur nemsawa, ihi lexlaṣ-nsen yettbeddil s texxamtibenkanTaxxamtYiwet seg 37 n texxamin s wuṭṭunen ɣef uqerru yettezzin. Daɣen: slot, cup.Ɣer akk →. Yal yiwen yeqqim −2,70% n udrim akk n rrehn, acku azalen yettwaṛǧan ttwarnan. Asebter yesskan leḥsab i semmus-nni akk.
Ayɣer ttbanen mgaraden
Yiwen wuṭṭunrrehnYiwen wuṭṭunYiwen wuṭṭun kan, ixelleṣ 35:1.Ɣer akk → yesɛa yiwen ugmuḍ i ixelleṣen. Voisins du zéroFR · tagzemtVoisins du zéro«Lǧiran n yilem»: sbeɛṭac n wuṭṭunen seg 22 ɣer 25 ɣef uḍebsi, s tẓa n yijiṭunen.Ɣer akk → yesɛa kraḍ n lexlaṣidrimenLexlaṣAyen i d-yettak rrehn i yerbḥen, yettwanna «X ɣef 1» nnig rrehn i d-yettuɣalen.Ɣer akk → yemgaraden ɣef leḥsab ma teɣli tkurtibenkanTakurtTakurt tamecṭuḥt i yettwaḍeqqren deg ubrid mgal aqerru yettezzin. Tikurin n tura d ivorine neɣ d Teflon, 18–21 mm.Ɣer akk → deg yizirigrrehnIzirigKraḍ n wuṭṭunen deg yiwen ujerriḍ n tfelwit, ixelleṣ 11:1. S tefransist: transversale.Ɣer akk → s snat n tẓayin, deg tɣemertrrehnTiɣmertUkkuẓ n wuṭṭunen yesɛan yiwet n tɣemert tamcerkt ɣef tfelwit, ixelleṣ 8:1.Ɣer akk → s snat n tẓayin neɣ deg yiwen n sin wuṭṭunenrrehnSin wuṭṭunenSin wuṭṭunen yemyuḍanen, ixelleṣ 17:1.Ɣer akk →. Tanawit-a teffer ayen ur nettbeddil: yal ajiṭunidrimenAjiṭunTamatart i d-yemmalen azal yettwasbedden, yettwasersen ɣef tfelwit akken ad yili rrehn. Daɣen: check.Ɣer akk → deg rrehn d rrehn am wiyaḍ s EV n −1/37 n yiman-is, yerna ayen akk d timernit.
Voisins du zéro (9 n yijiṭunen, 17 n wuṭṭunen)
2 ɣef 0-2-3 (izirig, ixelleṣ 11), 2 ɣef 25-26-28-29 (tiɣmert, txelleṣ 8), 1 ɣef yal yiwen seg sin wuṭṭunen 4-7, 12-15, 18-21, 19-22, 32-35 (xellṣen 17). Tuṭṭfa deg yizirig: +22 − 7 = +15. Tuṭṭfa deg tɣemert: +16 − 7 = +9. Tuṭṭfa ɣef sin wuṭṭunen: +17 − 8 = +9. Ulac tuṭṭfa: −9. EV = (3 × 15 + 4 × 9 + 10 × 9 − 20 × 9)/37 = (45 + 36 + 90 − 180)/37 = −9/37. Tẓa n yijiṭunen, −9/37: −1/37 i yal ajiṭun.
Tiers du cylindre (6 n yijiṭunen, 12 n wuṭṭunen)
Sḍis n rrhun ɣef sin wuṭṭunen, yal yiwen ixelleṣ 17. Yal tuṭṭfa: +17 − 5 = +12. Ulac tuṭṭfa: −6. EV = (12 × 12 − 25 × 6)/37 = (144 − 150)/37 = −6/37. Rrehn s wawalṭṭablaRrehn s wawalRrehn i yettwanan i ukrupi deg wadeg ad yettwasers s ufus, s umata d rrehn ɣef tegzemt n uḍebsi am voisins neɣ tiers. Daɣen «announced bet».Ɣer akk → yettɣimin akk: yiwen lexlaṣ, yiwet n lexsara.
Orphelins (5 n yijiṭunen, 8 n wuṭṭunen)
1 n yiwen wuṭṭun ɣef 1 (ixelleṣ 35), sin wuṭṭunen 6-9, 14-17, 17-20, 31-34 (xellṣen 17). Tuṭṭfa ɣef 1: +35 − 4 = +31. Tuṭṭfa ɣef 17 (sin n rrhun ɣef sin wuṭṭunen): +34 − 3 = +31. Tuṭṭfa ɣef 6, 9, 14, 20, 31, 34: +17 − 4 = +13. Ulac tuṭṭfa: −5. EV = (31 + 31 + 6 × 13 − 29 × 5)/37 = (62 + 78 − 145)/37 = −5/37.
Lǧiran d jeu zéro
LǧiranrrehnLǧiranYiwen wuṭṭun d snat n texxamin ɣef yal tama-s ɣef uḍebsi, semmus n yijiṭunen ɣef yiwen wuṭṭun.Ɣer akk →: semmus n rrhun ɣef yiwen wuṭṭun; yal tuṭṭfa +35 − 4 = +31; EV = (5 × 31 − 32 × 5)/37 = (155 − 160)/37 = −5/37. Jeu zéroFR · tagzemtJeu zéro«Urar n yilem»: sa n wuṭṭunen iqerben ugar ɣer yilem (12, 35, 3, 26, 0, 32, 15), s ukkuẓ n yijiṭunen.Ɣer akk →: sin wuṭṭunen 0-3, 12-15, 32-35 d yiwen wuṭṭun ɣef 26; tuṭṭfa ɣef 26: +35 − 3 = +32; tuṭṭfa ɣef sin wuṭṭunen: +17 − 3 = +14; EV = (32 + 6 × 14 − 30 × 4)/37 = (32 + 84 − 120)/37 = −4/37.
Ɣef uḍebsi aliktruni
Roulette Evolution n IGT, akken i t-yeglem Bollman (2021), tettak rrhun-a s wawal ɣef uḍebsi aliktruni s yiwen yilemaḍebsiIlemTaxxamt tazegzawt tasuft ur yeṭṭif ula d yiwen n rrehn s lexlaṣ imsawi, n ddzina neɣ n tgejdit; d aɣbalu n lmaziyya n lkazinu. Daɣen: yiwen yilem, 0.Ɣer akk →. Leḥsab ur ibeddel ara: yal yiwen yeqqim −1/37 i yal ajiṭun. Ayen ibeddlen d ssebba kan i d-ttaken yimuraren i rrhun n tegzemtaḍebsiTagzemtAḥric n texxamin yemmeḍfaren ɣef uḍebsi, mačči d tagrumma ɣef tfelwit.Ɣer akk →. Ɣef ṭṭabla n tidet kra ttamnen belli zemren ad ɣren lɛadat n ukrupi d tazrit n tuzzya akken ad ɣilen tamnaḍt anda ara teɣli tkurt, ayen i wumi qqaren aktazal n uḍebsi, yerna rrehn s wawal d abrid agamay n urhen ɣef tmnaḍt. Aḍebsi aliktruni ulac ɣur-s akrupi ara teɣrem, yerna ssebba-nni, ur nǧhid ara ula ɣef ṭṭabla n tidet, iruḥ.

Tasirt
Rrhun s wawal d asishel, mačči d tusnakt. D abrid yettɣawalen akk i urhen ɣef tegzemt n uḍebsi, d abrid kan i t-yexdmen s yiwen n wawal. Azal-nsen yettwaṛǧantusnaktAzal yettwaṛǧanAlemmas n ugmuḍ n yal rrehn deg uɣawas aɣezfan. −1/37 n rrehn i yal rrehn amagnu awrupi.Ɣer akk → d yiwen i yal ajiṭun am rrehn ɣef yiwen wuṭṭun amagnu akk, yerna tanawit n lexlaṣ d leḥsab kan, mačči d lmaziyya.
Tasemselt
Isteqsiyen
Ala. Yal yiwen d −1/37 i yal ajiṭun. Mgaraden deg tuṭṭfa d udem n lexlaṣ.
Sin n rrhun ɣef sin wuṭṭunen sɛan 17, ihi tuṭṭfa txelleṣ 17 s sin, texser kraḍ kan n yijiṭunen.
18 n yijiṭunen, yal lexlaṣ s sin, EV −18/37. Asnerni n teskala ur ibeddel acemma.
Urar s tusnakt
Ɛerḍet-tent s yiman-nwen qbel. Yal tifrat tettwaffer; ldit-tt mi ara tilim twejdem.
Aḍebsi aliktruni yettak-d rrhun s wawalṭṭablaRrehn s wawalRrehn i yettwanan i ukrupi deg wadeg ad yettwasers s ufus, s umata d rrehn ɣef tegzemt n uḍebsi am voisins neɣ tiers. Daɣen «announced bet».Ɣer akk → ifransisen: tiers (6 n yijiṭunenidrimenAjiṭunTamatart i d-yemmalen azal yettwasbedden, yettwasersen ɣef tfelwit akken ad yili rrehn. Daɣen: check.Ɣer akk →), jeu zéroFR · tagzemtJeu zéro«Urar n yilem»: sa n wuṭṭunen iqerben ugar ɣer yilem (12, 35, 3, 26, 0, 32, 15), s ukkuẓ n yijiṭunen.Ɣer akk → (4), orphelinsFR · tagzemtOrphelins«Igujilen»: tam n wuṭṭunen i d-yeqqimen deffir voisins d tiers: 17, 34, 6 d 1, 20, 14, 31, 9.Ɣer akk → (5), voisins (9) d lǧiranrrehnLǧiranYiwen wuṭṭun d snat n texxamin ɣef yal tama-s ɣef uḍebsi, semmus n yijiṭunen ɣef yiwen wuṭṭun.Ɣer akk → (5). I yal yiwen, acḥal n tikkal i yettrebḥ kra, d acḥal i yetteklif?
Sken-d tifrat
Tiririt Yal yiwen yetteklif 2,70%. Rebḥen kra deg 12, 7, 8, 17 d 5 n tuzzyiwin seg 37.
Ssuma d-tettak seg walugen n usebter-a: yal ajiṭun d rrehn amagnu yexsren 1/37 n yiman-is, u azal yettwaṛǧantusnaktAzal yettwaṛǧanAlemmas n ugmuḍ n yal rrehn deg uɣawas aɣezfan. −1/37 n rrehn i yal rrehn amagnu awrupi.Ɣer akk → yettemrennu.
Taprubabilit n rrbeḥ n kra d amḍan n texxaminibenkanTaxxamtYiwet seg 37 n texxamin s wuṭṭunen ɣef uqerru yettezzin. Daɣen: slot, cup.Ɣer akk → i yeḍebber rrehn, seg 37. Tiers yeḍebber 12, jeu zéro 7, orphelins 8 d voisins 17. Lǧiran ḍebbren uṭṭun d snat n texxamin ɣef yal tama-s ɣef uḍebsi: 5.
Bollman (2021) yeglem-d jeu zéro s ukkuẓ n yijiṭunen ɣef 26 deg wadeg n yiwen. Ayagi yerra-t d rrehn n 7 n yijiṭunen u ibeddel lexlaṣidrimenLexlaṣAyen i d-yettak rrehn i yerbḥen, yettwanna «X ɣef 1» nnig rrehn i d-yettuɣalen.Ɣer akk →-is, mačči ssuma-s: mazal 2,70%.
rrehnijiṭunentixxamin yettwaḍebrenyerbeḥ kralmaziyya n lkazinutiers61232,4%2,70%jeu zéro4718,9%2,70%orphelins5821,6%2,70%voisins91745,9%2,70%lǧiran5513,5%2,70%
Taḍsa i usgunfu

Tẓa n yijiṭunen, tẓa n tsebɛa u tlatin. Leḥsab d ijiṭunen.
Iɣbula
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Wykes, A. The Complete Illustrated Guide to Gambling.
- Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette.