Tanarit n rulit · Tanarit · Tidaddanin · 7 tsd

Tiddi n tegrumma

Acḥal n tuzzyiwin send ad d-tini tmudemt kra.

Tiririt tawezlant

Akken ad tettwaf, s laman yelhan, taxxamt i yeɣlin 1 seg 30 deg wadeg n 1 seg 37, ilaq-d qrib 4 400 n tuzzyiwin. Taxxamt n 1 seg 35, anaw ara yettaken rrbeḥ s tidet, tesra azal n 70 000.

1 seg 25
~1 100 n tuzzyiwin
1 seg 30
~4 400 n tuzzyiwin
1 seg 35
~70 000 n tuzzyiwin
ahuzzu n tegnit
∝ 1/√n

Acuɣer aṭas akka

Tazmilt, kra n tikkal i yernan i yal agim n tuzzyiwin, d tamecṭuḥt zdat uhuzzu abinumyal n √(n·p·(1−p)) ≈ √(n/37). Ahuzzu yettenqis am 1/√n, ihi asenqes n ccekk s uzgen yesqam ukkuẓ n tikkal n tuzzyiwin. TaxxamtibenkanTaxxamtYiwet seg 37 n texxamin s wuṭṭunen ɣef uqerru yettezzin. Daɣen: slot, cup.Ɣer akk → s 1/30 teɣli 33 n tikkal i yal agim mgal 27 yettwaṛǧan: sḍis n tikkal i yernan, s ubeɛɛed alugan (SD)tusnaktAbeɛɛed aluganAẓar amkuẓ n tavaryans; ameccaq n umata gar ugmuḍ d wazal yettwaṛǧan.Ɣer akk → n wazal n semmus. Yiwet n tegrumma n ugim ur tezmir ara ad tent-tefreq s laman.

Tuzzyiwin i ilaqen i tifin n texxamt s umyal (tazmert 80%, yiwet n tama 5%)tuzzyiwin
1 seg 20
≈ 500
1 seg 25
≈ 1 100
1 seg 30
≈ 4 400
1 seg 33
≈ 10 000
1 seg 35
≈ 70 000
tuzzyiwin
035000≈ 70 000
Amyal ara yettaken rrbeḥ (1/35 neɣ ugar) yesra timerwin n yigiman n tuzzyiwin. Wid i tzemrem ad twalim deg ugim n tuzzyiwin d imeqqranen aṭas u ur ttidiren ara deffir uḥraz.

Tasemselt

I ukayad s yiwet n tama n yiwet n texxamt s uswir n 5% s tezmert n 80%, n i ilaqen d azal n ((1,645·√(p₀(1−p₀)) + 0,84·√(p₁(1−p₁))) / (p₁ − p₀))², s p₀ = 1/37 d p₁ d afmiḍi yesɛan ccekk. Aya yeṣḥa i yiwet n texxamt yettwafernen uqbel. Ma tettnadim deg 37 n texxamin meṛṛa ɣef tin yeḥman akk, sgutet s wazal n sin ɣer kraḍ akken afmiḍi n yilɣa n lɣelṭ ad yeqqim d aṣeḥḥan.

Taɣuri n tilawt

Uṭṭun yeḥmanlexrafaUṭṭun yeḥmanUṭṭun i d-yeffɣen ugar n wayen yettwaṛǧan melmi kan. Ɣef uḍebsi imsawi ur d-yettbeggin acemma.Ɣer akk → deffir 300 n tuzzyiwin d ahuzzu n tegnit. Deffir 3 000, d ssebba i ujmaɛ n 3 000 nniḍen seg yiwen n uḍebsi. Deffir 30 000, yezmer ad yili d aḍebsi yesɛan azal n uktazal s tfizikt. Yal aseqdec n umyal yettwarun deg umezruy yebna ɣef timerwin n yigiman n tuzzyiwin yettwarun, u yal yiwen seg-sen yeṭṭef aṭas n wayyuren.

tuzzyiwin yettwarunayen i tzemrem ad t-tinim s tidet
< 500ulac acemma ɣef ula d yiwet n texxamt
1 000akayad chi-square yezmer ad yettwaselkem; yettaf kan leɛyub imeqqranen
5 000taxxamt s 1/30 ahat ad tban; tin s 1/35 ur tettban ara
20 000taxxamt s 1/33 tettban akken iwata; tigezmin zemrent ad ttwasnelɣen
70 000+taxxamt s 1/35 i yettaken rrbeḥ tezmer ad tettwasentem
yal amḍan, yettwasdukklen seg waṭas n yiḍebsiyenulac acemma; tsekyadem taxlaḍt

Ssuma n yisefka

S 50 n tuzzyiwin deg usrag, 10 000 n tuzzyiwin d 200 n yisragen n tira, neɣ kra n ddurat n unɣal n umazray yettwasuffɣen, seg yiwen uqerru n uḍebsiibenkanAqerru n uḍebsiYiwen unamek d rotor: aḥric yettezzin i yeṭṭfen uṭṭunen.Ɣer akk → yettwassnen ur tebeddel ara lkazinu u ur as-beddlen ara leḥyuḍ n texxamin deg wakud-nni. D aya, mačči tidaddanin, i yenɣan urar n umyal: tunnḍa n uḥraz teqser ɣef tunnḍa n ujmaɛ n yisefka.

Taɣuri n umezruy n tuzzyiwin yettwasuffɣen

Tiddi n tegrumma i lmaziyya s yiman-is

Yiwen n umḍan-a yeqqar-d acḥal n wakud i yesra umurar akken ad iwali lmaziyya n lkazinutusnaktLmaziyya n lkazinuAḥric n yal rrehn i teṭṭef lkazinu s ulemmas: 2,70% deg rulit tawrupit.Ɣer akk → deg yigmaḍ-is: azal n 1 400 n tuzzyiwin s lexlaṣ imsawi i yiwen sigma, 10 000 akken lmaziyya ad tban war ccekk. Yal win yeqqaren belli anagraw yedda s tuzzyiwin ddaw n waya yettawi-d ahuzzu n tegnit.

Tasemselt

n ≈ ((1,645·√(p₀(1−p₀)) + 0,84·√(p₁(1−p₁))) / (p₁ − p₀))²
σ(asiḍen) = √(n·p·(1−p))

Isteqsiyen

Yella ubrid awezlan?

Asekyed n tigezminaḍebsiTagzemtAḥric n texxamin yemmeḍfaren ɣef uḍebsi, mačči d tagrumma ɣef tfelwit.Ɣer akk → deg wadeg n texxamin yettɛawan, acku lɛib n tfizikt s umata tennal tagzemt u tazmilt tettemyernay seg texxamt ɣer tayeḍ. Ur ibeddel ara aswir n tiddi.

Zemreɣ ad sdukkleɣ isefka n yiwen n uḍebsi deg wussan yemgaraden?

Ih, ma yella uqerru n uḍebsi d yiwen u ur yettwaseggem ara. D aya i iweɛren ad yettwassen.

Acuɣer tazmert n 80%?

D lɛada. Yebɣa ad yini amyal n tidet n tiddi yettwabedren ad yettwaf ukkuẓ n tikkal seg semmus.

Taḍsa i usgunfu

Ahuzzu yettenqis am 1/√n. Ṣṣber yettenqis s tazrit ugar.

Ahuzzu yettenqis am 1/√n. Ṣṣber yettenqis s tazrit ugar.

Iɣbula

  1. Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, taẓrigt tis 3, 1968. Aɣelluy n umqemmer, ixef XIV.
  2. Barnhart, R. T. Beating the Wheel. Lyle Stuart, 1992.
Tanarit n rulitAmyal n uḍebsi n rulitTanarit n rulitAmek ara d-naf amyal n uḍebsiTanarit n rulitAzal adaddan
yettwasenqed 2026-09-28tamudemt: tawrupit, yiwen yilemtarrayt ↗iɣbula ↗