Umzekelo: isicwangciso seedazini ezimbini kwi-roulette
Iidola ezilishumi kwidazini nganye kwezimbini, amanani angama-24 agubungelweyo, kwimijikelo engamashumi amahlanu. Isicwangciso seedazini ezimbini kwi-roulette yibheji yokugubungela ephumelela imijikelo emibini kwemithathu kwaye isabiza i-2.70%.

Iseshoni elinganisiweyo yemijikelo engama-50 ye-$10 kwidazini yokuqala neyesibini. Iimpumelelo ezingamashumi amathathu ananye ze-$10, iilahleko ezilishumi elinesithoba ze-$20 (idazini yesithathu okanye iqanda). Inzuzo yokwenyani −$70, emva kokuba ibiphambili nge-$90. Ibheji eziva ikhuselekile kuba iphumelela rhoqo kwaye inexabiso elifana ncam nalo lonke elinye.
Isicwangciso: isicwangciso seedazini ezimbini kwi-roulette
I-$10 kwidaziniibhejiIdazini1–12, 13–24 okanye 25–36, ihlawula u-2:1.Funda yonke → yokuqala ne-$10 kweyesibini. Inani ukusuka ku-1 ukuya ku-24 lihlawula idazini enye i-$20 kwaye lilahlekelwa enye i-$10: +$10. Inani ukusuka ku-25 ukuya ku-36, okanye iqandaiviliIqandaIsikhewu esinye esiluhlaza esingagubungelwa yibheji yemali elinganayo, yedazini okanye yekholamu; umthombo wenzuzo yekhasino. Kwakhona: iqanda elinye, 0.Funda yonke →, lilahlekelwa zombini: −$20. Ixabiso elilindelekileyoizibaloIxabiso elilindelekileyoIsiphumo esiphakathi kwibheji nganye ekuhambeni kwexesha elide. −1/37 yebheji kuyo yonke ibheji eqhelekileyo yaseYurophu.Funda yonke →: (24 × 10 − 13 × 20)/37 = −20/37 = −$0.54 ngomjikelo, eyi-2.70% ye-$20. Izinga lempumelelo 64.9%, eli linani elithengisa ibheji.
Imijikelo 1–25
Iimpumelelo ezilishumi elinesibhozo, iilahleko ezisixhenxe: +$180 − $140 = +$40. Iilahleko ezisixhenxe zibandakanya iqanda kanye nothotho lwamanani amathathu edazini yesithathu kwimijikelo 11–13 olwabiza i-$60 ngokulandelelana kwaye lwaziva ngathi kukwahluka. Yayiyi-35.1% efika iyinqwaba, nto eyenziwa ziinqwaba.

Imijikelo 26–50
Iimpumelelo ezilishumi elinesithathu, iilahleko ezilishumi elinesibini: +$130 − $240 = −$110. Iilahleko ezilishumi elinesibini kwimijikelo engama-25 sisiganeko se-20%, asinqabanga. Isiphumo sokugqibela −$70; incopho +$90 kumjikelo wama-31. Ibheji ayizange ivelise ukujinga okukhulu kwicala nalinye, kuba impumelelo yi-$10 nelahleko yi-$20; isile nje.
- p10 −$500
- p25 −$500
- umbindi −$280
- p75 −$40
- p90 +$170
Iiakhawunti
Isixa esipheleleyo esibhejiweyo yi-$1,000 kwimijikelo engama-50. Ilahleko elindelekileyoizibaloIlahleko elindelekileyoIxabiso elilindelekileyo liphindwe ngesixa esipheleleyo esibhejiweyo; isixa esiphakathi esilahlekayo kwiseshoni okanye kwixesha elithile.Funda yonke → yi-$27; eyokwenyani −$70, malunga nokutenxa okuqhelekileyo (standard deviation)izibaloUkutenxa okuqhelekileyo (standard deviation)Ingcambu yesikwere yokwahluka; umgama oqhelekileyo wesiphumo ukusuka kwixabiso elilindelekileyo.Funda yonke → okunye ngaphantsi (i-σ ngomjikelo malunga ne-$14, ngoko malunga ne-$100 kwimijikelo engama-50). I-$20 efanayo kobomvuibhejiObomvuIbheji yemali elinganayo kumanani ali-18 abomvu. NgesiFrentshi: rouge.Funda yonke → ibiya kuba nolindelo olufanayo ne-σ enkulu, malunga ne-$140 kwiseshoni: iidazini ezimbini ziyindlela yokwahlukaizibaloUkwahlukaUmlinganiselo wokuba iziphumo zisasazeke kangakanani zijikeleze ixabiso elilindelekileyo. Kuphezulu kwibheji yenani elinye, kuphantsi kwiibheji zemali elinganayo.Funda yonke → okuphantsi yokulahlekelwa sisixa esifanayo.
Oko kubonakaliswa yile seshoni
Ukugubungela amanani angama-24 kwenza i-roulette iziva ngathi ngumdlalo ophumelela kuwo ngokuqhelekileyo, kwaye uyaphumelela: kwi-64.9% yemijikelo. IntlawuloimaliIntlawuloOko ibheji ephumeleleyo ikubuyisayo, okuxelwa njengo-“X ku-1” ngaphezulu kwebheji ebuyisiweyo.Funda yonke → imiselwe ukuze i-35.1% oyilahlekelayo ibize kabini oko kuhlawulwa ziimpumelelo, kwaye umlinganiselo ulungelelaniswe yibhodi yokubhejaizixhoboIbhodi yokubhejaIgridi yokubheja eshicilelwe etafileni. Kwakhona: itafile, ilaphu.Funda yonke → ku-−1/37 webheji iyonke. Yongeza itshiphuimaliItshiphuUphawu olumele isixa esimiselweyo, olubekwa kwibhodi yokubheja ukwenza ibheji. Kwakhona: check.Funda yonke → kwiqanda “njenge-inshorensi” kwaye inzuzo yekhasino edibeneyo isengu-2.70%, kuba i-inshorensi nayo ixabiso layo li-2.70%. Iphepha elithi Ingxaki: iidazini ezimbini netshiphu liyakucacisa oku.
Imibuzo
Izibalo ezifanayo: amanani angama-24, +1 iyunithiimaliIyunithiIbheji esisiseko esetyenziswa yinkqubo okanye ngumdlali. Ukunyuswa kweebheji kuchazwa ngeeyunithi ukuze kusebenze kuyo nayiphi na itafile.Funda yonke → xa kubethwa, −2 xa kuphoswa. IikholamuibhejiIkholamuAmanani alishumi elinambini kwikholamu enye ethe nkqo yebhodi yokubheja, ihlawula u-2:1.Funda yonke → zisasaza amanani agubungelweyo evilini lonke; iidazini ziwahlanganisa kwibhodi yokubheja. Akukho nanye ebalulekileyo.
Igubungela amanani angama-25; iqanda ngoku lizisa +$16 endaweni ye-−$20 ngexabiso le-$1 ngomjikelo. Ixabiso elilindelekileyo ngu-−$0.57 kwi-$21, lisengu-2.70%.
Iyiyo, kwaye intlawulo ilinganiswe ngokwayo. Ubukhulu becala uphumelela i-$10. Ngamanye amaxesha ulahlekelwa yi-$20. Umndilili yinzuzo yekhasinoizibaloInzuzo yekhasinoIsabelo sebheji nganye esigcinwa yikhasino ngokomndilili: 2.70% kwi-roulette yaseYurophu.Funda yonke →.
Uncumo

Phumelela imijikelo emibini kwemithathu. Lahlekelwa kabini kangako kowesithathu. Isiphumo yi-2.70%.
Imithombo
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.