Matsala: dozin biyu da tsabar caca ɗaya

Tambayar

Kuna saka $10 a kan dozincacaDozin1–12, 13–24 ko 25–36, biya 2:1.Karanta gaba ɗaya → na farko, $10 a kan dozin na biyu da $1 a kan sifilidabaranSifiliRamin kore guda ɗaya da babu cacar ɗaya zuwa ɗaya, ta dozin ko ta ginshiƙi da ke rufe shi; tushen fifikon gidan caca. Ana kuma kiransa: sifili ɗaya, 0.Karanta gaba ɗaya →. (a) Waɗanne sakamako ne za su iya faruwa, kuma mene ne yiwuwarsu? (b) Mene ne ƙimar da ake tsammanilissafiƘimar da ake tsammaniMatsakaicin sakamako a kowace caca a cikin dogon lokaci. −1/37 na kuɗin caca a kowace cacar Turai ta yau da kullum.Karanta gaba ɗaya →? (c) Shin tsabar cacakuɗiTsabar cacaAlamar da ke wakiltar ƙayyadadden adadin kuɗi, wadda ake ajiyewa a kan teburin caca don yin caca. Ana kuma kiranta: check.Karanta gaba ɗaya → ta sifili tana inganta cacar?

Amsar (a) da (b)

Sakamako: ƙwallokayan aikiƘwalloƘaramin ƙwallon da ake jefawa a hanyarsa a akasin juyawar rotor. Ƙwallayen zamani na ivorine ko Teflon ne, 18–21 mm.Karanta gaba ɗaya → a 1–24 (ramukakayan aikiRamiƊaya daga cikin ɗakuna 37 masu lamba a kan rotor. Ana kuma kiransa: slot, cup.Karanta gaba ɗaya → 24): dozin ɗaya tana biyan $20, ɗayar tana asarar $10, sifili yana asarar $1: ribar tsaf +$9. Ƙwallo a 25–36 (ramuka 12): dozin biyun suna asara, sifili yana asara: −$21. Ƙwallo a sifili (rami 1): dozin suna asarar $20, sifili yana biyan $35: +$15. EV = (24 × 9 + 1 × 15 − 12 × 21)/37 = (216 + 15 − 252)/37 = −21/37 ≈ −$0.57 a kowane juyi a kan $21 da aka saka: 2.70%.

Amsar (c)

Ba tare da tsabar caca ta sifili ba: (24 × 10 − 13 × 20)/37 = (240 − 260)/37 = −20/37 ≈ −$0.54 a kan $20 da aka saka, shi ma 2.70%. Tsabar caca ta sifili ta mayar da sakamakon sifili na −$20 zuwa +$15 (ingantawa ta $35 sau ɗaya cikin 37, darajarta $0.95 a kowane juyi) kuma ta kashe $1 a sauran juye-juye 36 (darajarsa $0.97 a kowane juyi). Canjin tsaf: −$0.03 a kowane juyi, wanda shi ne 2.70% na ƙarin dalar. An sa wa inshorar farashi daidai da kowane abu.

Dalilin da ya sa wannan ya shafi komai

Ƙimomin da ake tsammani suna haɗuwa. Duk wani tarin cace-cace da aka yi a lokaci guda yana da EV daidai da jimillar EV na ɓangarorinsa, kowanne kuma −1/37 ne na kuɗin cacarsa. Don haka kowane haɗi −1/37 ne na jimillar kuɗin caca. Babu wani tsarin ajiye tsabobin caca a kan shimfiɗar teburikayan aikiTeburin caca (layout)Ragar caca da aka buga a kan tebur. Ana kuma kiransa: table, felt, cloth.Karanta gaba ɗaya →, komai yawansu, da zai tsere wa wannan; kayan aikin Mai haɗa caca zai tabbatar da hakan ga duk wani tarin da kuka iya sakawa. Abin da haɗe-haɗe ke canjawa shi ne rarrabar sakamako: sau nawa kuke cin nasara, nawa, da kuma yadda mafi munin sakamako yake.

Tambaya ta gaba mafi wuya

Ku nemo haɗin cace-cace na yau da kullum da zai rufe dukkan lambobi 37. Dozin uku ($10 kowacce) tare da $1 a kan sifili: kowace lamba daga 1–36 tana ba da ribar tsaf −$1 (dozin ɗaya tana biyan $20, sauran biyu suna asarar $20, sifili yana asarar $1), kuma sifili yana ba da +$35 − $30 = +$5. EV = (36 × (−1) + 5)/37 = −31/37 a kan $31 da aka saka: 2.70%. Kuna iya tabbatar da cewa ba za ku taɓa yin mamaki ba, amma har yanzu kuna biyan farashi ɗaya don wannan gata.

Ƙa'idar lissafi

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