Ikibazo: Imirwi Ibiri na Jetoni Imwe
Imirwi ibiri ifata inomero 24. Wongeyeko jetoni kuri zeru, ufata 25. Iyo ngurane yoba irafasha?

Oya. Igice cose ni −2,70% vy'amahera y'itego ryaco, ku buryo imvange yose ari −2,70% vy'igiteranyo. Iki kibazo gisigura igituma, giharura neza ukwikwiragiza kw'ivyavuyemwo, kandi cerekana igihinduka (isura) n'ikidahinduka (igiciro).
Ikibazo
Utega $10 ku murwiitegoUmurwi1–12, 13–24 canke 25–36, riha 2:1.Soma vyose → wa mbere, $10 ku murwi wa kabiri na $1 kuri zeruuruzigaZeruAkazu kamwe k'icatsi kibisi kadapfukwa n'itego rya rimwe kuri rimwe, ry'umurwi canke ry'inkingi; ni yo soko y'inyungu ya kazino. Kandi bita: zeru imwe, 0.Soma vyose →. (a) Ivyavuyemwo bishoboka ni ibihe kandi ugushoboka kwavyo ni ukuhe? (b) Agaciro kitezweimibareAgaciro kitezweIvyavuyemwo vy'impuzandengo kuri buri tego mu gihe kirekire. −1/37 c'amahera y'itego kuri buri tego risanzwe ry'i Buraya.Soma vyose → ni akahe? (c) JetoniamaheraJetoniIkimenyetso gihagararira amahera adahinduka, gishirwa ku kibaho c'amatego kugira ngo utege. Kandi citwa: check.Soma vyose → iri kuri zeru yoba itunganya itego?
Inyishu (a) na (b)
Ivyavuyemwo: umupiraibikoreshoUmupiraUmupira mutoyi uterwa mu nzira uhushanye na rotor. Imipira y'ubu ikozwe muri ivorine canke Teflon, 18–21 mm.Soma vyose → muri 1–24 (utuzuibikoreshoAkazuKimwe mu bibanza 37 bifise inomero kuri rotor. Kandi bita: slot, cup.Soma vyose → 24): umurwi umwe uriha $20, uwundi uhomba $10, zeru ihomba $1: inyungu nyakuri +$9. Umupira muri 25–36 (utuzu 12): imirwi yose ibiri irahomba, zeru irahomba: −$21. Umupira kuri zeru (akazu 1): imirwi ihomba $20, zeru iriha $35: +$15. EV = (24 × 9 + 1 × 15 − 12 × 21)/37 = (216 + 15 − 252)/37 = −21/37 ≈ −$0,57 kuri buri kuzunguruka ku mahera $21 yateze: 2,70%.
Inyishu (c)
Utagira jetoni kuri zeru: (24 × 10 − 13 × 20)/37 = (240 − 260)/37 = −20/37 ≈ −$0,54 ku mahera $20 yateze, na vyo ni 2,70%. Jetoni iri kuri zeru yahinduye ivyavuyemwo vya zeru vya −$20 biba +$15 (iterambere rya $35 incuro imwe kuri 37, rifise agaciro ka $0,95 kuri buri kuzunguruka) kandi yatwaye $1 mu kuzunguruka 36 gusigaye (gufise agaciro ka $0,97 kuri buri kuzunguruka). Ihinduka nyakuri: −$0,03 kuri buri kuzunguruka, ari vyo 2,70% vy'idorari ryongeweko. Iyo ngurane ifise igiciro kingana neza n'ibindi vyose.
Igituma ivyo biri hose
Agaciro kitezwe karateranywa. Umugwi uwo ari wo wose w'amatego ashizweho icarimwe ufise EV ingana n'igiteranyo ca EV z'ibice vyawo, kimwe cose kikaba −1/37 y'amahera y'itego ryaco. Ku buryo imvange iyo ari yo yose ari −1/37 y'amahera yose y'itego. Nta buryo na bumwe bwo gushira amajetoni ku kibaho c'amategoibikoreshoIkibaho c'amategoIkibaho co gutega canditswe ku meza. Kandi bita: ameza, igitambara.Soma vyose →, n'aho yoba ari menshi gute, bushobora kubihunga; igikoresho Umutunganya w'Amatego kizobikwemereza ku mugwi uwo ari wo wose ushobora gushiraho. Ico imvange zihindura ni ukwikwiragiza: incuro utsinda, ingene utsinda, n'ingene ivyago bibi kuruta ibindi bingana.
Ikibazo gikurikira kigoye kurushiriza
Rondera imvange y'amatego asanzwe ifata inomero 37 zose. Imirwi itatu ($10 kuri umwe umwe) hamwe na $1 kuri zeru: inomero iyo ari yo yose muri 1–36 itanga inyungu nyakuri ya −$1 (umurwi umwe uriha $20, iyindi ibiri ihomba $20, zeru ihomba $1), kandi zeru itanga +$35 − $30 = +$5. EV = (36 × (−1) + 5)/37 = −31/37 ku mahera $31 yateze: 2,70%. Urashobora kwemeza ko utazotangazwa na rimwe, kandi uracariha igiciro kimwe kuri ico kiza.
Ingingo y'imibare
Ibibazo
Oya, ku meza ya ruleti y'i Buraya. Ku meza ya ruleti y'Ubufaransa, amatego ya rimwe kuri rimweitegoItego rya rimwe kuri rimweGitukura/cirabura, igiharwe/igiharuro, binini/bito. Inomero 18, riha 1:1.Soma vyose → yonyene ni 1,35%; kwongerako ikindi cose vyongereza inyungu ya kazino ivanze.
Uhomba $1 kuri $1 kuri zeru gusa, ata co utsinda ahandi. EV −2,70% ata nyungu na nkeya: ni yo mvange yonyene idafise akamaro na gato.
Kugira ngo uhitemwo isura y'igihe c'ugukina ikunezereza. Iyo ni imvo ibereye kandi ni yo yonyene.
Agakuru ko gutwenga

Ingurane ku meza ya ruleti itwara neza neza ivyo ikiza.
Aho Twakuye
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.