Matematik · Miijo hoolaaro · hojomaaji 7

Njaru Fodaandu e Ruleet

Njaru fodaandu ruleet ko njeñtudi hakkundeere pari so a waawnoo fiyde ɗum haa abada. E ruleet Orop ndu gootu e kala pari ganndaaɗo: a majjina 1/37 e kala pari, e hakkundeere, e kala taarol.

E haala laaɓtuka

Sikku a waɗii pari $10 gootum e boɗeere miliyoŋ laabi. Won taarle ina ndañna $10, won ina majjina $10. Tawtu njeñtuɗi ɗii fof, feccir miliyoŋ: a heɓay hono −$0,27. Ndee limoore ko njaru fodaandu pari ruleet. Wonaa ko waɗata e taarol gootol; ko hakkundeere e juuta e kala taarol.

Jaabawol ɓadaangolEV = porobabilite dañde × kaalis dañaaɗo − porobabilite majjude × kaalis majjuɗo. E kala pari ruleet ganndaaɗo, ɗum ina yalta −2,70% e pari.

Formil njaru fodaandu pari ruleet

EV = p · W − (1 − p) · S
p = n/37 · W = S·(36/n − 1) · n = limooje uddaaɗe · S = pari

Waylu sariya njoɓdi ruleet, 36/n − 1, n ina momtoo. Ɗum woni taariika ɓural kasino fof e nder dowol gootol:

EV = (n/37)·S·(36/n − 1) − ((37−n)/37)·S
= S·(36 − n − 37 + n)/37
= −S/37

Etu: limorde njaru fodaandu ruleet

Suɓo limooje ɗe pari oo uddata. Porobabilite e njoɓdi ina mbayloo; njaru fodaandu waylotaako.

limoore 1 uddaande · njoɓdi 35:1pari $10

majjere 97,3%

p(dañde)1/37 = 2,70%

dañal ina yoɓa+$350

majjere ina coggi−$10

EV = p·W − (1−p)·S0,0270·$350 − 0,9730·$10

njaru fodaandu−$0,27 e kala taarol · −2,70%

No ɗum hollirtee e nder sahaa

Njeñtudi hakkundeere e kala taarol ngam pari boɗeere $10, no taarle ɓeydotoo. E fuɗɗoode, sahaa ina ɓuri doole; hakkundeere jokkotoonde ndee ina tabitoo e −$0,27 no misal ngal mawnirta. Ɗum woni ɓadagol e juuta ngol kasino hoolii.

Taarol caggal taarol, hakkundeere jokkotoonde ndee ina dara dillude, ina tabita les seero seeɗa.

Miijooji juumɗi ɗi ɓuri heewde

“EV ñaawnde ina firti mi majjinay e kala jonnde.”

Alaa. Ina firti hakkundeere jonɗe keewɗe ko majjere. Jonɗe gooto gooto ina ceertoo no feewi, ɓuri noon e pariiji wariyaas toownuɗo no limoore wootere.

“Kasino ina sokli sahaa juutɗo ngam dañde.”

Ɓural kasino ina huuwa e kala taarol; ko juuta waɗata ko hollirde njeñtudi ndii ina waawi anndeede adan. E nder jonnde wootere, sahaa ko ɓuri doole.

“Won pariiji ɓuri goɗɗi njaru fodaandu.”

Wonaa e ruleet Orop, si wonaa e ɗum gootum: e la partage walla en prison, pariiji njoɓdi fotndi ina njogii feccere ɓural kasino woowaangal.

Ƴeewndo weltinoowo

$Wonaa ko waɗata e taarol gootol. Hakkundeere taarle ɗee fof.$

Wonaa ko waɗata e taarol gootol. Hakkundeere taarle ɗee fof.