Mienzaniso Nhanho neNhanho · Muenzaniso nhanho nenhanho · maminitsi 6

Muenzaniso: Nzira yeMadozeni Maviri paRoulette

Madhora gumi pane imwe neimwe yemadozeni maviri, nhamba 24 dzakafukidzwa, kwekutenderera makumi mashanu. Nzira yemadozeni maviri paRoulette ibheti rekufukidza rinokunda kutenderera kuviri pakutatu asi richiri kudhura 2.70%.

Mhinduro pfupi

Sesheni yakafananidzirwa yekutenderera 50 ye$10 padozeni rekutanga nerechipiri. Kukunda makumi matatu nekumwe kwe$10, kurasikirwa gumi nekupfumbamwe kwe$20 (dozeni rechitatu kana zero). Pundutso −$70, takambokwira $90. Bheti rinonzwika rakachengeteka nekuti rinowanzokunda uye rakaiswa mutengo zvakafanana chaizvo nemamwe ese.

pakutenderera kwega kwega
$20 pa1–12 ne13–24
inofukidza
24 pa37
p(kukunda)
64.9%
zvinotarisirwa pakutenderera kwega kwega
−$0.54

Hurongwa: nzira yemadozeni maviri paRoulette

$10 padozenibhetiDozeni1–12, 13–24 kana 25–36, rinobhadhara 2:1.Verengai zvese → rekutanga ne$10 parechipiri. Nhamba kubva pa1 kusvika 24 inobhadhara dozeni rimwe $20 uye rimwe rinorasikirwa $10: +$10. Nhamba kubva pa25 kusvika 36, kana zerovhiriZeroGomba rimwe chete rakasvibira risingafukidzwi nebheti remubhadharo wakaenzana, redozeni kana rekoramu; ndiko kunobva chikamu chekasino. Mamwe mazita: zero imwe, 0.Verengai zvese →, inorasisa ese ari maviri: −$20. Kukosha kunotarisirwamasvomhuKukosha kunotarisirwaMhedzisiro yepakati pabheti rimwe nekufamba kwenguva refu. −1/37 yemari yakabhejwa pabheti rimwe nerimwe reEurope rakajairwa.Verengai zvese →: (24 × 10 − 13 × 20)/37 = −20/37 = −$0.54 pakutenderera kwega kwega, inova 2.70% ye$20. Chiyero chekukunda 64.9%, nhamba inotengesa bheti iri.

Kutenderera 1–25

Kukunda gumi nekusere, kurasikirwa kunomwe: +$180 − $140 = +$40. Kurasikirwa kunomwe kwakasanganisira zero kamwe chete nemutsara wenhamba nhatu dzedozeni rechitatu pakutenderera 11–13 kwakadhura $60 kwakatevedzana uye kwakanzwika sechinhu chisingawanzoitiki. Yaiva 35.1% ichiuya yakaunganidzana, sezvinoitwa nezvikwata.

kutendereramu1–24mu25–36 kana 0pundutsomari yasara
1–1073+$10+$10
11–1303−$60−$50
14–25111+$90+$40
Nhamba nhatu dzakatevedzana kubva kudozeni risina kufukidzwa dzinodhura $60: 35% ichiuya yakaunganidzana.

Kutenderera 26–50

Kukunda gumi nekutatu, kurasikirwa gumi nekuviri: +$130 − $240 = −$110. Kurasikirwa gumi nekuviri mukutenderera 25 chiitiko che20%, kwete chisingawanzoitiki. Pakupedzisira −$70; pamusoro +$90 pakutenderera 31. Bheti harina kumbounza kuzungunuka kukuru kune rumwe rutivi, nekuti kukunda i$10 uye kurasikirwa $20; rakangokuya zvishoma nezvishoma.

Sesheni iyi nedzimwe pfumbamwe dzakaita sayomhedzisiro vs kutanga
+$530$0−$500+$190−$2500125250375500kutendereramhedzisiro
masesheni 1,000 × kutenderera 500 · violet p10/p25/p75/p90, bhuruu yakajeka median, masampuru 82 akachenuruka · fambisai pamusoro pechati kuti muone maquantile pakutenderera
  • p10 −$500
  • p25 −$500
  • median −$280
  • p75 −$40
  • p90 +$170
masesheni 1,000 × kutenderera 500 · y-axis yakachekwa kusvika papercentile ye1–99 (magumo −$500 kusvika +$980) · kutenderera 500 · $20 kutanga · madozeni maviri
Madozeni maviri pa$20 yose: +$10 kutenderera kuviri pakutatu, −$20 kutenderera kumwe pakutatu. Musiyano wakaderera; mutsetse weavhareji unotsveyama pa −$0.54 pakutenderera kwega kwega, kutsveyama kwakafanana ne$20 patsvuku.

Maakaundi

Mari yose yakabhejwa $1,000 mukutenderera 50. Kurasikirwa kunotarisirwamasvomhuKurasikirwa kunotarisirwaKukosha kunotarisirwa kwakapetwa nemari yose yakabhejwa; mari yepakati inorasika musesheni kana munguva yakati.Verengai zvese → $27; chaiko −$70, kunenge standard deviationmasvomhuStandard deviationMudzi wesikweya wemusiyano; chinhambwe chakajairwa chemhedzisiro kubva pakukosha kunotarisirwa.Verengai zvese → imwe pasi (σ pakutenderera kwega kwega ingangoita $14, saka ingangoita $100 mukutenderera 50). $20 imwe chete patsvukubhetiTsvukuBheti remubhadharo wakaenzana panhamba 18 tsvuku. ChiFrench: rouge.Verengai zvese → ingadai yakava netarisiro yakafanana uye σ yakakura, ingangoita $140 musesheni: madozeni maviri inzira ine musiyanomasvomhuMusiyanoChiyero chekuti mhedzisiro yakapararira zvakadii kutenderedza kukosha kunotarisirwa. Wakakwirira pastraight up, wakaderera pamabheti emubhadharo wakaenzana.Verengai zvese → wakaderera yekurasikirwa nemari imwe chete.

Zvinoratidzwa nesesheni

Kufukidza nhamba 24 kunoita kuti Roulette inzwike semutambo wamunowanzokunda, uye munokunda: 64.9% yekutenderera. MubhadharomariMubhadharoZvinodzoserwa nebheti rakunda, zvinotaurwa se“X kusvika ku1” pamusoro pemari yakabhejwa inodzoserwa.Verengai zvese → wakatarwa kuitira kuti 35.1% yamunorasikirwa idhure kakapetwa kaviri pane zvinobhadharwa nekukunda, uye chiyero chinogadziriswa netafura yekubhejeramidziyoTafura yekubhejeraGridhi yekubhejera yakadhindwa patafura. Mamwe mazita: table, felt, cloth.Verengai zvese → kusvika pa −1/37 yemari yose yakabhejwa. Wedzerai chipimariChipiChiratidzo chinomiririra mari yakatarwa, chinoiswa patafura yekubhejera kuita bheti. Rimwe zita: check.Verengai zvese → pazero se“inshuwarenzi” uye chikamu chekasino chakasanganiswa chichiri 2.70%, nekuti inshuwarenzi yakaiswa mutengo we2.70% zvakare. Peji reDambudziko: Madozeni Maviri neChipi rinozvishanda.

Mibvunzo

Madozeni maviri kana makoramu maviri?

Masvomhu akafanana: nhamba 24, +yunitimariYunitiMari yehwaro inoshandiswa nesisitimu kana nemutambi. Maprogression anotsanangurwa nemayuniti kuitira kuti ashande patafura ipi zvayo.Verengai zvese → 1 kana yabuda, −2 kana isina kubuda. MakoramubhetiKoramuNhamba gumi nembiri mukoramu imwe yakamira yetafura yekubhejera, rinobhadhara 2:1.Verengai zvese → anoparadzira nhamba dzakafukidzwa pavhiri rese; madozeni anodziunganidza patafura yekubhejera. Hapana chakakosha pazviri.

Ko chipi pazero?

Inofukidza nhamba 25; zero zvino inopa +$16 panzvimbo pe −$20 nemutengo we$1 pakutenderera kwega kwega. Kukosha kunotarisirwa i −$0.57 pa$21, kuchiri 2.70%.

Ko 64.9% hairevi “nguva zhinji” here?

Inoreva, uye mubhadharo wakaenzaniswa nayo. Nguva zhinji munokunda $10. Dzimwe nguva munorasikirwa $20. Avhareji ndiyo chikamu chekasinomasvomhuChikamu chekasinoChikamu chemari yega yega yakabhejwa chinochengetwa nekasino paavhareji: 2.70% muRoulette yeEurope.Verengai zvese →.

Kuseka zvishoma

Kundai kutenderera kuviri pakutatu. Rasikirwai kakapetwa kaviri pakwechitatu. Mhedzisiro i2.70%.

Kundai kutenderera kuviri pakutatu. Rasikirwai kakapetwa kaviri pakwechitatu. Mhedzisiro i2.70%.

Zvinyorwa

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Chitsauko 13, Roulette.
yakaongororwa 2026-09-28modhi: yeEurope, zero imwemaitiro ↗zvinyorwa ↗