Caɗeele: Taarorde Ñalnde Jibinannde
Ko foti taarle ado limoore woɗnde ruttaade? Ko ɓuri famɗude ko ɓuri heewde e yimɓe sikki.
Caɗeele ñalnde jibinannde e taarorde cuuɗikuutorɗeSuuduGootel e cuuɗi 37 limoraaɗi e rotoor. Ina noddee kadi: wenndu, kopp.Tar fof → 37: caggal taarle 8 tan, porobabilite ina ɓuri feccere wonde limoore woɗnde yaltii laabi ɗiɗi kisa. Fijooɓe ina njanga ruttaade hono maandeeji; ɗum ko ko fodaa e taarorde peewnde.
Caɗeele ɗee
Taarnu taarorde Orop peewnde. Ko foti taarle haa porobabilitematematikPorobabiliteSahaa njeñtudi, immorde 0 haa 1 walla 0% haa 100%. Limoore wootere: 1/37 = 2,70%.Tar fof → wonde taarle ɗiɗi ko famɗi fof hollii limoore wootere ɓura feccere? Ko ɓuri heewde e fijooɓe ina sikki hono 18 walla 19, feccere 37. Jaabawol ngol ko 8.
Jaabawol ngol
Hiis porobabilite wonde alaa ruttaade, ittu ɗum e gooto. Caggal taarle k, p(fof ceertuɗe) = (37/37)(36/37)(35/37)…((38 − k)/37). Ngam k = 8: 1 × 0,973 × 0,946 × 0,919 × 0,892 × 0,865 × 0,838 × 0,811 ≈ 0,44, ɗum noon p(ruttaade woɗnde) ≈ 0,56. Ngam k = 14 ko 0,93; ngam k = 20 ko 0,996. Miijo neɗɗo ina juumi sabu limoore ɗiɗi-ɗiɗi taarle ina ɓeydoo hono k², tawa kala ɗiɗi ina mbaawi fotde.
Ko waɗi ɗum ina fawii e taabal
Tabalo njeñtuɗi limooje 20 sakkitiiɗe ina holla sahaa kala hono ruttaade gootol ko famɗi fof, ko heewi ɗiɗi walla tati. Fijooɓe ina njiya “17 yaltii laabi ɗiɗi e nder taarle sappo” ina mbiya 17 ko wulnde; hiisa ñalnde jibinannde ina wiya ruttaade e nder taarle sappo ina waɗa 74% sahaa, limoore ruttiinde nde kadi ko e sahaa. Maande nden ko goonga; firo mayre wonaa goonga.
Caɗeele jokkooje
Ko foti taarle haa limoore anndaande, wiyen 17, yaltude laabi ɗiɗi? Ɗum ko naamnal goɗngal jogiingal jaabawol ɓurngol mawnude no feewi: fadde fodaande ndee ko taarle 74, porobabilite yiyde 17 laabi ɗiɗi e nder taarle 20 ko hono 10%. Ceertugol hakkunde “limoore woɗnde ina ruttoo” (taarle 8) e “limoore ndee ina ruttoo” (taarle 74) ko ceertugol hakkunde maande nde teskoto-ɗaa caggal e anndinol ko waɗata ngol waɗɗaa adii.
Etto ɗum
Taarnu taarorde Fijo demo oo laabi sappo, ƴeew daartol ngol. Ko heewi ruttaade ina woodi. Fijo ɗum kadi. Limoore ruttiinde nde ina wonta woɗnde. Waɗ ɗum laabi sappo, a yiyii caɗeele ñalnde jibinanndematematikCaɗeele ñalnde jibinanndeYimɓe hoto foti ngam ɗiɗo e maɓɓe ina mbaawi wondude ñalnde jibinannde, walla taarle hoto foti ngam limoore ruttaade. E taarorde cuuɗi 37, taarle 8 ina keddii ngam porobabilite ɓurnde feccere.Tar fof →; waɗ ɗum laabi ujunere (simulateerji ɗii ina mbaawi) a ƴeewtii ɗum.
Formil
Naamne
Ko gooto tigi, e cuuɗi 37 nden e ñalɗi 365. Yimɓe 23 ina ndokka 50% ngam ñalɗi jibinannde; taarle 8 ina ndokka 56% ngam taarorde ndee.
50% caggal hono taarle 19. Ɗum kadi ko ko waɗotoo sahaa kala.
Alaa. Taarle ujunaaji iwɗe e taarorde wootere ina mbaawi; ruttaade gootol hollataa ɗum abadaa.
Weltaare e Matematik
Etu ɗum hoore maa adii. Kala jaabawol ina suuɗii; uddit ɗum so a heblii.
Tabalo njeñtuɗi ɓadiiɗo taarorde Amerik ina holla taarle 16 sakkitiiɗe ɗee. Ko woni porobabilite wonde alaa limoore yaltunde laabi ɗiɗi e mum?
Hollu jaabawol ngol
Jaabawol Hedde 2,5%: hedde tabalooji 39 e 40 ina kolla limoore ruttiinde e ɓuri famɗude wootere.
Yahu taarol e taarol. Taarol adanngol ina waawi wonde ko woni fof. Ɗiɗmol ngol foti wonaa ngol: sahaaji 37 e 38. Tataɓol ngol foti wonaa ɗiɗi ɗii: 36 e 38. Sappo e jeegomol ngol foti wonaa limooje sappo e joy: 23 e 38.
Fiil: 38/38 × 37/38 × 36/38 × … × 23/38 ≈ 0,0246.
Tabalo alaa limoore ruttiinde ko kanko ɓuri seeɗaade. Tabalo jogiiɗo limoore ruttiinde wiyataa hay huunde e taarorde ndee.
E taarle sappo taarorde Orop, ko woni porobabilite 17 yaltude laabi joy tigi? Limoore woo, limoore kala, yaltude laabi joy walla ko ɓuri? E limoore woo yaltude laabi tati walla ko ɓuri e taarle nay?
Hollu jaabawol ngol
Jaabawol 17 laabi joy tigi: 1 e 315 576. Limoore woo laabi joy walla ko ɓuri: hedde 1 e 8 333. Limoore woo laabi tati walla ko ɓuri e taarle nay: 1 e 349.
17 laabi joy: suɓo taarle joy e sappo ɗee, laabi 252, kala e porobabilite (1/37)⁵ × (36/37)⁵. Hawtaa, 1 e 315 576.
Limoore woo: kala e limooje 37 ɗee ina jogii porobabilite 1 e 308 325 e hiɓɗe joy walla ko ɓuri, ɗum ina rokka 37 e 308 325, walla 1 e 8 333. Ko seeɗa ko limooje ɗiɗi kala e hiɓɗe joy ina limee laabi ɗiɗi, kono momtude ɗum waylitaa hay huunde e ndee peewal.
Laabi tati e taarle nay: ngam limoore wootere, 4 × 36 + 1 = 145 e 37⁴ njeñtuɗi waawooji; ngam kala e limooje 37 ɗee, 145/37³ = 1 e 349.
Ngam taarorde 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 → ɗiɗi, limooje nanndooje ɗee ko 1 e 359 275, 1 e 9 243 e 1 e 368. Ceerndugol hakkunde “17” e “limoore woo” ko caɗeele ñalnde jibinanndematematikCaɗeele ñalnde jibinanndeYimɓe hoto foti ngam ɗiɗo e maɓɓe ina mbaawi wondude ñalnde jibinannde, walla taarle hoto foti ngam limoore ruttaade. E taarorde cuuɗi 37, taarle 8 ina keddii ngam porobabilite ɓurnde feccere.Tar fof → kadi: ina woodi laabi 37 ngam haaweede.
Ƴeewndo weltinoowo
Huunde ina ruttoo law. Huunde nden ko e sahaa.
Iwdi
- Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1.
- Wizard of Odds. “Ask the Wizard”, naamne ruleet.