Rrhun n rulit · Rrehn s lexlaṣ imsawi · impair/pair · 7 tsd

Rrehn ɣef uryan / uyug

Rrehn ɣef uryan/uyug deg rulit yeṭṭef tmanṭac n wuṭṭunen iryanen neɣ tmanṭac n wuṭṭunen iyugen. Ilem ur yelli d yiwen deg-sen.

Tiririt tawezlant

Ixelleṣ 1:1, taprubabilittusnaktTaprubabilitAzal n yiwen ugmuḍ ad d-yeḍru, seg 0 ɣer 1 neɣ seg 0% ɣer 100%. Yiwen wuṭṭun: 1/37 = 2,70%.Ɣer akk → 48,65%. Yiwen n wassaɣ n lexlaṣ am uzeggaɣ/aberkan.

yeṭṭef
18 / 37
taprubabilit
48,65%
ixelleṣ
1:1
SD i $1
1,00
Ɣef ṭṭabla · 18 n wuṭṭunen
Ɣef uḍebsi
0321519421225173462713361130823105241633120143192218297281235326

Asers

Tiɣerfin «Even» d «Odd» deg ujerriḍ azɣaray, gar ddzinatrrehnDdzina1–12, 13–24 neɣ 25–36, ixelleṣ 2:1.Ɣer akk → d tɣerfin n lmas n yiniten; pair d impair ɣef tfelwit n rrhunibenkanTafelwit n rrhunAẓeṭṭa n rrhun yettwarun ɣef ṭṭabla. Daɣen: ṭṭabla, tajellabt, aceṭṭiḍ.Ɣer akk → tafransist. Yal yiwet ilaq ad tawweḍ talast tadday n ṭṭabla.

Anda tettruḥu tkurt ɣef rrehn ɣef uryan% n tuzzyiwin
rrehn-a yerbeḥ
48,65%
uṭṭun nniḍen
48,65%
ilem
2,70%
% n tuzzyiwin
024,3248,65%

Tilisa n ṭṭabla n rulitRulit tafransist

Ilem d aryan neɣ d uyug deg rulit?

IlemaḍebsiIlemTaxxamt 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 → d uyug deg leḥsab (yebḍu ɣef sin) u yexser i rrhun ɣef uryan d uyug ɣef ṭṭabla n rulit. Tafelwit tefru asteqsi-a mi ur d-tebder ara ilem deg yiwet n tɣerfit. Imenza tikwal ttemnaɣen ɣef waya; ikrupiyen slan-t yakan.

$10 × 100 n tuzzyiwinaryan
taprubabilit i yal tuzzya48,65%
tikkal n rrbeḥ yettwaṛǧan deg 100 n tuzzyiwin48,6
agmuḍ yettwaṛǧan−$27,03
abeɛɛed alugan$100
p(ulac rrbeḥ deg 100 n tuzzyiwin)0,000000%
azrar n lexsara amagnu aɣezfan ugar7 n tuzzyiwin
Yiwet n lexsara yettwaṛǧan am yal rrehn nniḍen. D tuzzra i tettafrenem.

Aryan/uyug mgal azeggaɣ/aberkan

Kif kif deg tusnakt: 18 n wuṭṭunen, 1 ɣef 1, 48,65%. Snat-nni n tyugiwin n rrhun mgaradent kan deg tmanṭac n wuṭṭunen i ṭṭfent, ihi asemlili am «azeggaɣrrehnAzeggaɣRrehn s lexlaṣ imsawi ɣef 18 n wuṭṭunen izeggaɣen. S tefransist: rouge.Ɣer akk → d uyug» yeṭṭef 28 n wuṭṭunen s rrbeḥ s snat n tikkal ɣef tam-nni n wuṭṭunen yellan d izeggaɣen d iyugen (12, 14, 16, 18, 30, 32, 34, 36). Afecku «Abennay n rrhun» yettḥasab yal amlil am wa.

Abennay n rrhun

Initen n wuṭṭunen iryanen d yiyugen deg rulit

Aryan d uzeggaɣ mačči d yiwet n tmanṭac n wuṭṭunen. Mraw seg wuṭṭunen iryanen d izeggaɣen, tam d iberkanenrrehnAberkanRrehn s lexlaṣ imsawi ɣef 18 n wuṭṭunen iberkanen. S tefransist: noir.Ɣer akk →: izeggaɣen 1, 3, 5, 7, 9, 19, 21, 23, 25 d 27; iberkanen 11, 13, 15, 17, 29, 31, 33 d 35. Uṭṭunen iyugen bḍan s lǧiha nniḍen, tam d izeggaɣen d mraw d iberkanen. Ihi azeggaɣ d uryan ṭṭfen 26 n wuṭṭunen, mraw deg-sen snat n tikkal, ma d azeggaɣ d uyug ṭṭfen 28.

Lexlaṣ n uryan/uyug deg rulit d wayen yettwaṛǧan

Assaɣ n tidet mgal 18 seg 37 d 1,056 ɣef 1; ṭṭabla txelleṣ 1. Deg 37 n tuzzyiwin n walemmas s $10, rrehn ɣef uyug yettrebḥ 18 n tikkal (+$180), yettxesser mgal tmanṭac n wuṭṭunen iryanen (−$180) u yettxesser mgal yilem yiwet n tikkelt (−$10): −$10 ɣef $370 yettwarehnen, 2,70%. Ɣef uḍebsi s sin yilmawen, llan sin yilmawen n lexsara, u ssuma d $20 ɣef $380, 5,26%.

Ɣef uḍebsi

Aryan d uyug ttwasemlalen ɣef yiri akken ulac aḥric ara yesmenyafen yiwen deg-sen. Amyizwer yettwasbadu s tyugiwin: ma twalam aḍebsi, sin wuṭṭunen iryanen s umata ḍefren-ten sin iyugen. Am rrhun izɣarayenrrehnRrehn azɣarayRrehn ɣef yiferdisen i d-yezzin i uẓeṭṭa: ddzinat, tigejda d rrhun s lexlaṣ imsawi.Ɣer akk → meṛṛa, ur yeṭṭif ula d yiwet n tgezmitaḍebsiTagzemtAḥric n texxamin yemmeḍfaren ɣef uḍebsi, mačči d tagrumma ɣef tfelwit.Ɣer akk →.

Ilugan ifransisen

S la partagealugenLa partageAlugen afransis: mi ara d-yeffeɣ yilem, azgen n rrehn s lexlaṣ imsawi yettuɣal-d. Yessenqas lmaziyya n lkazinu ɣef rrhun-a ɣer uzgen, d 1,35%.Ɣer akk →, azgen n rrehn ɣef uryan neɣ uyug yettuɣal-d mi ara d-yeɣli yilem, u ssuma tṣubb ɣer 1,35%. S en prisonalugenEn prisonAlugen afransis: mi ara d-yeffeɣ yilem, rrehn s lexlaṣ imsawi yettwaṭṭaf i tuzzya i d-iteddun deg wadeg ad yexser. Yessenqas lmaziyya n lkazinu ɣef rrhun-a ɣer uzgen.Ɣer akk →, rrehn yeqqim ɣef tfelwit i tuzzya nniḍen: ma yerbeḥ yettuɣal-d war rrbeḥ, ma yexser yettwakkes, ayen i d-yettawin qrib yiwet n ssuma. Ma yella ilem yettwaḥsab d uyug ur d-yettili ara, acku alugen yeṭṭef pair d impair kif kif.

En prison: deffir yilem, ajiṭun n lexlaṣ imsawi yettwaṭṭef ɣef ujerriḍ i tuzzya nniḍen.

Tameddit s leḥsab

$5 ɣef uryan deg 100 n tuzzyiwin d $500 yettwarehnen, u lexsara yettwaṛǧantusnaktLexsara yettwaṛǧanAzal yettwaṛǧan seg tmerna n yidrimen yettwarhen; d alemmas n wayen yettwaxsar deg yiwet n tɣimit neɣ deg yiwen wakud.Ɣer akk → d $500 ÷ 37 = $13,51. Tamuttit tamagnut i d-yezzin i wuṭṭun-a d $50 akka, acku abeɛɛed alugantusnaktAbeɛɛed aluganAẓar amkuẓ n tavaryans; ameccaq n umata gar ugmuḍ d wazal yettwaṛǧan.Ɣer akk → n 100 n rrhun s lexlaṣ imsawirrehnRrehn s lexlaṣ imsawiAzeggaɣ/aberkan, aryan/uyug, afellay/adday. 18 n wuṭṭunen, ixelleṣ 1:1.Ɣer akk → n $5 d 5 × √100. Snat n tmeddiyin seg kraḍ akka fukkent gar $64 n lexsara d $36 n rrbeḥ.

Isteqsiyen

La partage yettwasnas?

Ih. Aryan/uyug d rrehn s lexlaṣ imsawi u yettaf-d azgen deg yilem ɣef ṭṭabla tafransist.

Ayɣer ara nerhen ɣef uryan/uyug deg wadeg n uzeggaɣ/aberkan?

Ulac sebba deg tusnakt. Kra n yimuraren sseqdacen-ten i sin akken ad mgaraden izrar, ayen ibeddlen talɣa n rrbeḥ u ur ibeddel acemma deg umatu-nsen.

Urar s tusnakt

Ɛerḍet-tent s yiman-nwen qbel. Yal tifrat tettwaffer; ldit-tt mi ara tilim twejdem.

  1. TifelwiyinibenkanTafelwit n rrhunAẓeṭṭa n rrhun yettwarun ɣef ṭṭabla. Daɣen: ṭṭabla, tajellabt, aceṭṭiḍ.Ɣer akk → tiqdimin sɛant tikwal rrehn ɣef «adday d uyug» akk. Yerbeḥ lexlaṣ imsawi ma yella wuṭṭun d adday (seg 1 ar 18) u d uyug, yexser ma ulac yiwen seg-sen, neɣ ilemaḍebsiIlemTaxxamt 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 →, u yeqqim deg umkan-is ma yella d yiwen kan seg-sen. Acḥal i yetteklif ɣef uḍebsi awrupi?

    Sken-d tifrat

    Tiririt 2,70% i yal tuzzya, maca 5,26% n yal rrehn i yettwaxelṣen s tidet.

    Ḥesbet tixxaminibenkanTaxxamtYiwet seg 37 n texxamin s wuṭṭunen ɣef uqerru yettezzin. Daɣen: slot, cup.Ɣer akk →. Adday d uyug: 2, 4 … 18, tẓa n wuṭṭunen, rebḥen. Afellay d uryan: 19, 21 … 35, tẓa n wuṭṭunen, d yilem, mraw s umata, xesren. Tmanyaṭac nniḍen, adday d uryan neɣ afellay d uyug, ǧǧan rrehn deg umkan-is.

    I yal tuzzya, rrehn yerbeḥ 9 n tikkal deg 37 u yexser 10: −1/37, 2,70%-nni yettwassnen. Maca deg 18 n tuzzyiwin seg 37 ulac ayen yeḍran. Ma nḥesb kan tuzzyiwin i t-yexelṣen, rrehn yexser 1 n uferdisidrimenAferdisRrehn agejdan s wacu i yettxeddem unagraw neɣ amurar. Inagrawen n usnerni ttwaglamen s yiferdisen akken ad ilin i yal ṭṭabla.Ɣer akk → deg 19, 5,26%, ssuma tamarikanit.

    Ɣef uḍebsi amarikani, s 00 gar wid yexsren, yetteklif 5,26% i yal tuzzya d 10% i yal rrehn yettwaxelṣen. Bollman (2024) yefka-t-id d taɣawsa n twaɛjebt.

Taḍsa i usgunfu

Ilem d uyug. Ilem yexser ɣef uyug.

Ilem d uyug. Ilem yexser ɣef uyug.

Iɣbula

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Ixef 13, rulit.
yettwasenqed 2026-09-28tamudemt: tawrupit, yiwen yilemtarrayt ↗iɣbula ↗