Dambudziko: Madozeni Maviri neChipi
Madozeni maviri anofukidza nhamba 24. Wedzerai chipi pazero uye mafukidza 25. Inishuwarenzi iyi inobhadhara here?

Kwete. Chikamu chimwe nechimwe chiri −2.70% yemari yacho yakabhejwa, saka musanganiswa uri −2.70% yemari yose. Dambudziko rinotsanangura kuti sei, rinoverenga kuparadzirwa chaiko, uye rinoratidza zvinochinja (chimiro) nezvisingachinji (mutengo).
Dambudziko
Munobheja $10 padozenibhetiDozeni1–12, 13–24 kana 25–36, rinobhadhara 2:1.Verengai zvese → rekutanga, $10 padozeni rechipiri uye $1 pazerovhiriZeroGomba rimwe chete rakasvibira risingafukidzwi nebheti remubhadharo wakaenzana, redozeni kana rekoramu; ndiko kunobva chikamu chekasino. Mamwe mazita: zero imwe, 0.Verengai zvese →. (a) Mhedzisiro dzingangoitika ndedzipi nemikana yadzo? (b) Kukosha kunotarisirwamasvomhuKukosha kunotarisirwaMhedzisiro yepakati pabheti rimwe nekufamba kwenguva refu. −1/37 yemari yakabhejwa pabheti rimwe nerimwe reEurope rakajairwa.Verengai zvese → ndekupi? (c) ChipimariChipiChiratidzo chinomiririra mari yakatarwa, chinoiswa patafura yekubhejera kuita bheti. Rimwe zita: check.Verengai zvese → chezero chinovandudza bheti here?
Mhinduro (a) ne(b)
Mhedzisiro: bhoramidziyoBhoraBhora diki rinokandwa mumugero richienda rimwe divi nerotor. Mabhora emazuva ano ndeeivorine kana Teflon, 18–21 mm.Verengai zvese → mu1–24 (makombamidziyoGombaImwe yemakamuri 37 ane nhamba parotor. Mamwe mazita: slot, cup.Verengai zvese → 24): dozeni rimwe rinobhadhara $20, rimwe rinorasikirwa $10, zero inorasikirwa $1: pundutso +$9. Bhora mu25–36 (makomba 12): madozeni ese anorasikirwa, zero inorasikirwa: −$21. Bhora pazero (gomba 1): madozeni anorasikirwa $20, zero inobhadhara $35: +$15. EV = (24 × 9 + 1 × 15 − 12 × 21)/37 = (216 + 15 − 252)/37 = −21/37 ≈ −$0.57 pakutenderera pa$21 yakabhejwa: 2.70%.
Mhinduro (c)
Pasina chipi chezero: (24 × 10 − 13 × 20)/37 = (240 − 260)/37 = −20/37 ≈ −$0.54 pa$20 yakabhejwa, zvakare 2.70%. Chipi chezero chashandura mhedzisiro yezero, −$20, kuita +$15 (kuvandudzwa kwe$35 kamwe pa37, kunokosha $0.95 pakutenderera) uye chadhura $1 pakutenderera kumwe 36 (kunokosha $0.97 pakutenderera). Shanduko yose: −$0.03 pakutenderera, iri 2.70% yedhora rakawedzerwa. Inishuwarenzi ine mutengo wakafanana chaizvo nezvimwe zvese.
Sei izvi zvichishanda kwese
Kukosha kunotarisirwa kunowedzerana. Seti ipi neipi yemabheti panguva imwe ine EV yakaenzana nehuwandu hweEV dzezvikamu, chimwe nechimwe chiri −1/37 yemari yacho yakabhejwa. Saka musanganiswa upi neupi uri −1/37 yemari yose yakabhejwa. Hapana marongerwo emachipi patafura yekubhejeramidziyoTafura yekubhejeraGridhi yekubhejera yakadhindwa patafura. Mamwe mazita: table, felt, cloth.Verengai zvese →, kunyange akawanda sei, anopukunyuka izvi; chishandiso cheMuvaki weBheti chichazvisimbisa paseti ipi neipi yamunogona kuisa. Chinochinjwa nemisanganiswa kuparadzirwa: kuti munokunda kangani, zvakawanda sei, uye kuti mamiriro akaipisisa akaipa zvakadii.
Rinotevera rakaoma
Tsvagai musanganiswa wemabheti akajairika unofukidza nhamba dzese 37. Madozeni matatu ($10 rimwe nerimwe) pamwe ne$1 pazero: chero ipi ye1–36 inopa −$1 (dozeni rimwe rinobhadhara $20, mamwe maviri anorasikirwa $20, zero inorasikirwa $1), uye zero inopa +$35 − $30 = +$5. EV = (36 × (−1) + 5)/37 = −31/37 pa$31 yakabhejwa: 2.70%. Munogona kuvimbisa kuti hamumbofi makashamiswa, uye muchiri kubhadhara mutengo mumwe chete werombo iroro.
Fomula
Mibvunzo
Kwete, patafura yeEurope. Patafura yeFrance, mabheti emubhadharo wakaenzanabhetiBheti remubhadharo wakaenzanaTsvuku/nhema, isina kuenzana/yakaenzana, dzepamusoro/dzepasi. Nhamba 18, rinobhadhara 1:1.Verengai zvese → oga ari 1.35%; kuwedzera chimwe chinhu kunokwidza chikamu chekasino chakasanganiswa.
Kunorasikirwa $1 pa$1 pazero chete, hakukundi chinhu kumwe. EV −2.70% pasina chakanaka: musanganiswa mumwe chete usina basa zvachose.
Kusarudza chimiro chesesheni chamunofarira. Ichi chikonzero chakanaka uye ndicho chete.
Kuseka zvishoma

Inishuwarenzi patafura yeRoulette inodhura chaizvo zvainoponesa.
Zvinyorwa
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.