Lissafin roulette · Aiki · minti 7

Tsawon zaman wasa da kuɗinsa

Tsawon lokacin da jarin caca ke ɗauka a wani kuɗin caca, da abin da sa'o'in ke kashewa. Lambobin da yawancin ʼyan wasa ba sa taɓa lissafawa, alhali yawancinsu ya kamata su lissafa.

Amsa a taƙaice

Caca a kan ɗaya zuwa ɗaya da kuɗi ɗaya tana ɗaukar, a matsakaici, juye-juye 37 ga kowane kuɗin caca da ke cikin jarin, ko da yake rabin dukkan zaman wasa suna ƙarewa kafin haka; asarar da ake tsammani a sa'a ɗaya ita ce kuɗin caca × juye-juye a sa'a / 37. Tare suna ba ku damar sanin farashin yammaci kafin ya fara.

lokacin ƙarewar jari a ɗaya zuwa ɗaya
juye-juye 37 × B/s, a matsakaici
$500 da $10
≈ juye-juye 1,364, median
kuɗin da ake kashewa a sa'a
s × juye-juye/sa'a / 37
$10 a 50/sa'a
$13.51 a sa'a

Tsawon lokacin da jarin caca ke ɗauka

Da jarin cacakuɗiJarin cacaJimillar kuɗin da aka ware don wasa. Sarrafa jarin caca shi ne yanke shawarar nawa za a sa a haɗari a kowace caca da kowane zaman wasa.Karanta gaba ɗaya → B da kuɗin caca s ɗaya tak a kan ɗaya zuwa ɗaya, jarin yana raguwa da s/37 a kowane juyi a matsakaici, kuma yana kaɗawa da kusan s a kowane juyi sama ko ƙasa. Raguwar kaɗai ce ke tsara matsakaicin: jarin yana ɗaukar juye-juye 37 × B/s, domin wannan shi ne lokacin da ake ɗauka don asarar B da s/37 a juyi. Kaɗawar ce ke sa tsawon ya bambanta. Wasu zaman wasa suna ƙarewa da wuri saboda mummunan jerin sakamako, ʼyan kaɗan suna daɗewa sosai, kuma median, wato tsawon da rabin dukkan zaman wasa ba sa kaiwa gare shi, yana ƙasa da matsakaicin. Jarin $500 da $10 (B/s = 50) yana ɗaukar juye-juye 1,850 a matsakaici da 1,364 a median, kusan sa'o'i 27 a teburi kai tsaye. Da $50 (B/s = 10) median juye-juye 136 ne, ƙasa da sa'o'i uku.

jarin cacakuɗin cacaB/smedian na juye-juye zuwa ƙarewar jari (ɗaya zuwa ɗaya)a juye-juye 50/sa'amatsakaicin juye-juye zuwa ƙarewar jari
$500$51003,134≈ sa'o'i 633,700
$500$10501,364≈ sa'o'i 271,850
$500$2520394≈ sa'o'i 8740
$500$5010136≈ sa'o'i 2 da minti 45370
$500$100541≈ minti 50185
$100$1010136≈ sa'o'i 2 da minti 45370
Daidai, caca da kuɗi ɗaya a kan ja a dabaran Turai ba tare da wata dokar tsayawa ba. Cacar straight up tana ƙare jari da sauri a kowane layi saboda bambancin sakamako ya fi yawa.
Jari ɗaya, kuɗin caca ɗaya: wasu zaman wasa suna ƙarewa da wuri, ʼyan kaɗan suna daɗewa sosai, kuma median yana ƙasa da matsakaicin.

Abin da sa'o'in ke kashewa

Asarar da ake tsammanilissafiAsarar da ake tsammaniƘimar da ake tsammani sau jimillar kuɗin da aka yi caca da su; matsakaicin adadin da ake rasawa a cikin zaman wasa ko wani lokaci.Karanta gaba ɗaya → a sa'a = kuɗin caca × juye-juye a sa'a / 37. Lambobi biyu da ke hannunku su ne kuɗin caca da saurin wasa. Mai caca da $10 a juye-juye 50 a sa'a yana biyan $13.51 a sa'a a teburin Turai, $6.76 a teburin Faransa, $27 a teburi mai sauri. Ku yanke shawarar nawa sa'a ɗaya ta roulette ke da daraja a wurinku, sai kuɗin caca ya biyo baya.

Asarar da ake tsammani a sa'a da $10 a juyi$ a sa'a
Gidan caca na zahiri · 40/sa'a
$10.81
Teburi kai tsaye · 55/sa'a
$14.86
Kai tsaye mai sauri · 100/sa'a
$27.03
RNG · 200/sa'a
$54.05
$ a sa'a
027.03$54.05
kuɗin caca × juye-juye a sa'a / 37. Saurin wasa shi ne abu mafi ƙarfi da ke tasiri a kan abin da sa'a ɗaya ke kashewa.

Roulette na Faransa

Haɗa su tare

Ɗan wasa da ke da $500 wanda ke son yammaci na sa'o'i huɗu a teburi kai tsaye mai juye-juye 50 (juye-juye 200) kuma ba ya son jarinsa ya ƙare, kada ya saka fiye da kusan $25 (B/s = 20, median na ƙarewar jari juye-juye 394). Kuɗin da ake tsammanin yammacin zai kashe shi ne 200 × $25 / 37 = $135. Idan $135 ya yi yawa, kuɗin caca yana raguwa kuma yammacin yana zama mafi aminci da rahusa a lokaci guda: da $10, kuɗin da ake tsammani $54 ne kuma ƙarewar jari kafin juye-juye 200 ba kasafai take faruwa ba.

Yammaci goma sha biyu na sa'o'i huɗu, $500 da $25 a kan jasakamako idan aka kwatanta da farko
+$1,050$0−$500+$400−$2500125250375500juye-juyesakamako
zaman wasa 1,000 × juyi 500 · shunayya p10/p25/p75/p90, shuɗi mai haske tsakiya, samfurori 82 marasa haske · ku matsa a kan jadawalin don ganin kashi-kashi a wani juyi
  • p10 −$500
  • p25 −$500
  • tsakiya −$500
  • p75 −$50
  • p90 +$350
zaman wasa 1,000 × juyi 500 · an yanke layin y zuwa kashi na 1–99 (iyakoki −$500 zuwa +$1,700) · juyi 500 · tushe $25 · 1 zuwa 1
Ƙarshen da ake tsammani: −$135. Yawancin layukan suna tsira; kusan yammaci ɗaya cikin huɗu yana taɓa sifili. Da $10 kusan ɗaya cikin 700 ne zai taɓa.

Zaman wasa na straight up

Ga straight upscacaStraight upLamba ɗaya tak, biya 35:1.Karanta gaba ɗaya → (cacar lamba ɗaya) dole kuɗin caca ya fi ƙanƙanta don tsawon zaman wasa iri ɗaya: σ a kan kowace raka'akuɗiRaka'aKuɗin caca na tushe da tsari ko ɗan wasa ke aiki da shi. Ana bayyana jerin ƙarin caca a raka'a don su yi aiki a kowane tebur.Karanta gaba ɗaya → 5.84 ce a kan kusan 1 ga jacacaJaCacar ɗaya zuwa ɗaya (even-money) a kan lambobi ja 18. A Faransanci: rouge.Karanta gaba ɗaya →, don haka jarin dole ya iya jure dogayen lokutan rashin nasara. Median na juye-juye 200 yana buƙatar B/s na kusan 13 a kan ja da kusan 56 a kan lamba ɗaya, wato kusan ninki huɗu na yawan kuɗin caca. Jarin $500 da zai ɗauki juye-juye 200 na straight ups a median yana buƙatar kuɗin caca kusan $9. ʼYan wasan da ke saka $25 a straight ups daga $500 suna sayen gajeren yammaci mai hayaniya: rashin nasara sau ashirin a jere yana kawo ƙarshensa, kuma hakan yana faruwa fiye da rashin faruwarsa.

Jerin farashi na gaskiya

Roulette tana kashe kuɗin caca × juye-juye / 37. Duk wani abu dabam, tsarin, lambar sa'a, kariya, yana tsara yanayin yammacin ne, ba farashinsa ba. Ɗan wasa da ya fara lissafa farashin sannan ya zaɓi kuɗin caca da yake farin cikin biya ya yi abu ɗaya tilo na dabara da ke aiki.

Ƙa'idar lissafi

E[kuɗi a sa'a] = s × juye-juye/sa'a / 37
matsakaicin juye-juye zuwa ƙarewar jari = 37 × B/s ga ɗaya zuwa ɗaya
straight ups: a ninka B/s da ake buƙata da ≈ 4

Tambayoyi

Akwai dabara mai sauƙi ga median?

Babu takamaimai. Ga ƙaramin jari kaɗawar ce ta fi rinjaye kuma median yana girma kusan kamar (B/s)², kamar a jefa tsabar kuɗi na adalci. Ga babban jari fifikon ne ya fi rinjaye kuma median yana kusantar matsakaicin, 37 × B/s. A kusan kuɗin caca 20 dokar (B/s)² ta dace da ainihin median ɗin, juye-juye 394; ƙasa da haka tana nuna ƙasa da ainihi, sama da haka kuma fiye da ainihi.

Shin iyakar asara tana canja kuɗin da ake kashewa?

Tana taƙaita mafi munin sakamako kuma tana gajarta zaman wasa, wanda ke rage asarar da ake tsammani gwargwadon juye-juyen da ba a buga ba.

Me game da la partage?

Tana rage kuɗin da ake kashewa a sa'a da rabi a cace-cacen ɗaya zuwa ɗayacacaCacar ɗaya zuwa ɗaya (even-money)Ja/baƙi, mara/cika, manya/ƙanana. Lambobi 18, biya 1:1.Karanta gaba ɗaya → kuma tana ninka matsakaicin lokacin ƙarewar jari, zuwa juye-juye 74 × B/s.

Nishaɗi da lissafi

Ku fara gwada waɗannan da kanku. Kowace mafita a naɗe take; ku buɗe ta idan kun shirya.

  1. Kuna yin caca da $500 a kan jacacaJaCacar ɗaya zuwa ɗaya (even-money) a kan lambobi ja 18. A Faransanci: rouge.Karanta gaba ɗaya →, $10 a kowane lokaci, a dabaran roulette na Turai, ba tare da ƙa'idar tsayawa ba. A matsakaici, juye-juye nawa jarin cacakuɗiJarin cacaJimillar kuɗin da aka ware don wasa. Sarrafa jarin caca shi ne yanke shawarar nawa za a sa a haɗari a kowace caca da kowane zaman wasa.Karanta gaba ɗaya → zai ɗauka?

    Nuna mafita

    Amsa Juye-juye 1,850: juye-juye 37 ga kowane ɗaya daga cikin kuɗin caca 50.

    Kowane juyi yana jawo asara, a matsakaici, ta 1/37 na kuɗin caca: $10/37, kusan centi 27. Jarin caca yana ɗauke da kuɗin caca 50, kuma rasa kuɗin caca 50 a 1/37 na kuɗin caca a kowane juyi yana ɗaukar 50 × 37 = juye-juye 1,850.

    Hawa da saukar sakamako ba sa canza wannan matsakaici, domin zaman wasa zai iya ƙarewa ne kawai a sifili, kuma kowane juyi kafin nan yana jawo asarar centi 27 iri ɗaya a matsakaici. Suna canza yaɗuwa: rabin dukkan zaman wasa sun ƙare kafin juyi na 1,364, kuma kusan ɗaya cikin ashirin yana wuce 5,000, abin da ke ɗaga matsakaicin.

    Epstein (2013) ya ba da ƙa'ida gabaɗaya: a gaban gidan caca da kuɗinsa ba sa ƙarewa, jarin caca na kuɗin caca z yana ɗaukar z raba fifikon gidan caca a kowane juyi. A dabaran roulette na Amurka, inda cacar da ke biyan kuɗi daidai da kuɗin caca ke rasa 1/19 na kuɗin caca a kowane juyi, $500 ɗin yana ɗaukar juye-juye 950 a matsakaici.

Ɗan barkwanci

Kuɗin caca × juye-juye / 37. Ku san farashin yammacin kafin ya fara.

Kuɗin caca × juye-juye / 37. Ku san farashin yammacin kafin ya fara.

Majiyoyi

  1. Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, bugu na 3, 1968. Ƙarewar jarin ɗan caca, babi na XIV.
  2. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Babi na 13, roulette.
  3. Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed. Academic Press, 2013.
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