Fehmet rulit. Mačči anda ara tsersem ijiṭunen kan.

Lemdet ilugan, serset kra n rrhun n usileɣ, syin ɛerḍet tistratijiyin. Ifecka-nneɣ d tsimulasyunin-nneɣ sseknent-awen-d amek tteddu rulit, tuzzya s tuzzya.

Amek ara turarem →ldi bet-builder/

37 n texxamin s umyizwer n uḍebsi, 0 d amezwaru · azeggaɣ 18 · aberkan 18 · azegzaw 1

Ulac rrehn yettwafernen

tixxamin37 (0–36)

lmaziyya n lkazinu2,70% ɣef yal rrehn

ilemyiwen, azegzaw

awellehserset taɣerdayt ɣef texxamt · sitet ɣef ṭṭabla

01 · Rulit deg 5 n tesdatin

Yiwet n tunnḍa, seg tazwara ar taggara

Ɣret tamsirt meṛṛa →

Serset ijiṭunen

Serset ijiṭunen ɣef wuṭṭunen neɣ deg tenkulin i ten-yezzin. Tzemrem ad tsersem aṭas n rrhun deg yiwet n tikkelt.

Takurt tettwaḍeqqer

Akrupi yezzi aḍebsi ɣer yiwet n tama, yessazzal takurt ɣef yiri ɣer tama nniḍen.

Ulac rrhun nniḍen

Akrupi yesserwat afus-is nnig tfelwit. Ijiṭunen ur zmiren ara ad ttwasmuttin.

Takurt teɣli

Takurt teqqim deg yiwet seg 37 n texxamin. Akrupi yecreḍ uṭṭun i d-yeffɣen ɣef ṭṭabla.

Lexlaṣ

Ijiṭunen yexsren ttwakksen qbel, syin wid yerbḥen ttwaxelṣen s wassaɣ yettwasbedden n rrehn.

02 · Fehmet ṭṭabla

Uṭṭunen-nni yiwen, lǧiran nniḍen

Sitet ɣef wuṭṭunen akken ad tsersem ijiṭunen ɣef yiwen wuṭṭun, neɣ ɣef tenkult tazɣarayt akken ad teḍebrem agraw. Aḍebsi nnig-a yesberraz tixxamin-nni yiwet, ihi ad twalim belli lǧiran ɣef ṭṭabla mačči d lǧiran ɣef uḍebsi.

Abennay n rrhun · $10 i yal uṭṭun

tixxamin37 (0–36)

lmaziyya n lkazinu2,70% ɣef yal rrehn

ilemyiwen, azegzaw

awellehserset taɣerdayt ɣef texxamt · sitet ɣef ṭṭabla

03 · Tiwsatin tigejdanin n rrhun

Drus n wuṭṭunen, lexlaṣ meqqren, yiwet n lmaziyya

lexlaṣ = 36/n − 1 · lmaziyya = 1/37

rrehniḍebbertixxaminp(rrbeḥ)ixelleṣev / rrehn

yiwen wuṭṭun1/372,70%35:1−2,70%sin wuṭṭunen2/375,41%17:1−2,70%izirig3/378,11%11:1−2,70%tiɣmert4/3710,81%8:1−2,70%sin yizirigen6/3716,22%5:1−2,70%ddzina12/3732,43%2:1−2,70%tagejdit12/3732,43%2:1−2,70%azeggaɣ18/3748,65%1:1−2,70%

04 · Taprubabilit d lmaziyya n lkazinu

Ansi d-tekka lmaziyya n lkazinu n 2,70%

Tiririt tawezlant

Rulit tawrupit tesɛa lmaziyya n lkazinu n 2,70% ɣef yal rrehn amagnu.

Acuɣer

Lkazinu txelleṣ rrbeḥ ɣef yiwen wuṭṭun s 35:1 ɣas llan 37 n yigmaḍ i yezmren ad d-ffɣen. Assaɣ n lḥeqq yili d 36:1. Aferdis-nni yexuṣṣen, yettwabḍan ɣef 37 n yigmaḍ, d lmaziyya.

Tasemselt

EV = (1/37)·(+35) + (36/37)·(−1)
   = 35/37 − 36/37
   = −1/37 ≈ −0,0270

Tusnakt meṛṛa →

Yiwen n rrehn, kraḍ n yiḍebsiyen

Tawrupit

37 n texxamin · 1 n yilem

2,70%

Tamarikanit

38 n texxamin · 0 d 00

5,26%

Tafransist

37 n texxamin · La Partage

1,35%

Ilugan ifransisen bḍan lmaziyya ɣef sin ɣef rrhun s lexlaṣ imsawi kan: mi ara d-yeffeɣ yilem, La Partage terra-d azgen n rrehn, En Prison teṭṭef-it i tuzzya nniḍen. Ayen meṛṛa deg usmel-a yebna ɣef uḍebsi awrupi, ala ma yettwanna-d nniḍen.

05 · Tastratijit

Ayen xeddmen s tidet yinagrawen n rrhun

S Martingale, tessnernayem rrehn s snat deffir yal lexsara. Rrbeḥ amecṭuḥ yezmer ad yemɣer, syin azrar n lexsara yezmer ad t-yekkes akk. Lexsara yettwaṛǧan teqqim d 2,70% i yal adular yettwarehnen.

lexsara #rrehn d-iteddunamatu yettwarehnenp(awaḍ)

0$10$10100,00%

1$20$3051,35%

2$40$7026,37%

3$80$15013,54%

4$160$3106,95%

5$320$6303,57%

6$640$1 2701,83%

7$1 280$2 5500,94%

Rrehn n tazwara $10, talast n ṭṭabla $500. Deffir sḍis n lexsarat, rrehn d-iteddun d $640, nnig talast: anagraw yerreẓ s lexsara n $630. Taprubabilit n sḍis n lexsarat ṭṭafarent ɣef uzeggaɣ d (19/37)^6 = 1,83%, qrib yiwet n tikkelt deg 55 n yiɛraḍen.

Martingale Paroli Fibonacci D'Alembert Labouchère Rrehn ur nettbeddil Asefrek n ugerruj

Martingale mgal rrehn ur nettbeddil · yiwet n teɣimit s uẓar150 n tuzzyiwin · azeggaɣ · taggara: mart +$680 · ur nettbeddil −$120

MartingaleUr nettbeddil $10Selkmet 10 000 n tɣimiyin →

06 · Tanarit n rulit

Uṭṭunen yeḥman, s umata, d ahuzzu n tegnit kan

Aḍebsi imsawi yettak-d yal tikkelt tigrummiwin ur nemsawa ara. Tanarit tḍebber tafizikt n uḍebsi d tkurt, tifin n umyal, tiddi n tegrumma d tidaddanin i yettusran akken ad nemyez lɛib n tidet seg uzrar n zzher.

tuzzyiwin370

taxxamt yeḥman aṭas20 · 16 n tikkal (yettwaṛǧu 10)

chi-square (df 36)32,8

azal p0,62

taggraytulac abeggen n umyal

Kcem ɣer Tnarit →

Tikkal yettwalan i yal taxxamt · amyizwer n uḍebsiyettwaṛǧu 10 i yal yiwet

3213

158

1914

215

214

2515

178

345

2710

1310

3610

117

3010

237

106

512

249

1612

3310

110

2016

1413

3111

914

228

1812

2913

2813

1212

357

2612

Tagrumma n uḍebsi imsawi s uẓar. Taxxamt yesɛan ini aberkan akk tettban-d am «uṭṭun yeḥman»; akayad chi-square yenna-d belli talɣa meṛṛa d tin n yal ass.

07 · Ifecka imyigawen

Ḥesbet s yiman-nwen

Ifecka meṛṛa →

roulette-odds-calculator/Tamsiḍent n tprubabilit n rulitTaprubabilit d lexlaṣ i yal rrehn roulette-payout-calculator/Tamsiḍent n lexlaṣ n rulitAyen yettuɣalen d rrbeḥ ačuran i yal rrehn bet-builder/Abennay n rrhunḌebret uṭṭunen, walit lmaziyya d lexsara yettwaṛǧan wheel-visualizer/Askan n uḍebsiTigezmin, lǧiran d rrhun s wawal ɣef uḍebsi roulette-session-simulator/Asimulatur n tɣimit n rulitYiwet n teɣimit, tuzzya s tuzzya roulette-strategy-simulator/Asimulatur n tstratijit n rulit10 000 n tɣimiyin n yal anagraw roulette-martingale-simulator/Asimulatur Martingale n rulitAcḥal n tikkal i yerreẓ unagraw roulette-bankroll-calculator/Tamsiḍent n ugerruj n rulitAcḥal n wakud i tettdum tadrimt s yiwen n urured risk-of-ruin-calculator/Tamsiḍent n lxeṭṛ n uɣelluyTaprubabilit n uɣelluy qbel yiswi roulette-wheel-bias-analyzer/Amesleḍ n umyal n uḍebsi n rulitAkayad chi-square ɣef usekles-nwen n tuzzyiwin

08 · Rulit srid

Aḍebsi n tidet, takamiṛat, d wakud n rrhun

Ṭṭabla srid tettazen aḍebsi n tidet seg ustudyu. Agmuḍ yeqqar-it ukrupi d unagraw n tifin s tkamiṛat, syin yettwazen ɣer ugdil n yal amurar. Tiprubabiliyin d tid n rulit tawrupit; ayen yettbeddilen d arured, aɛeṭṭel d wakud n rrhun.

Amek tteddu rulit srid →

00:00

Aḍebsi n ustudyu

Aḍebsi n tidet, s umata 80 cm, yezzi-t ukrupi

n tidet

00:00

Takamiṛatin d usettengel

Tavidyut seg waṭas n tmiwin, tettwazen ɣer ugdil-nwen

~1–3 n tsinin

00:20

Akud n rrhun

Yeldi deffir lexlaṣ yezrin, yemdel ɣer «ulac rrhun nniḍen»