Matsala: har yaushe sifili zai fito

Tambayar

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 → yana da yiwuwarlissafiYiwuwaDamar faruwar wani sakamako, daga 0 zuwa 1 ko daga 0% zuwa 100%. Lamba ɗaya: 1/37 = 2.70%.Karanta gaba ɗaya → 1/37 a kowane juyi. (a) Mene ne yiwuwar rashin sifili a juye-juye 37 masu zuwa? (b) Mene ne median na jira? (c) A zaman wasa na ɗaya zuwa ɗaya mai juye-juye 200, sifili nawa ya kamata ɗan wasa ya yi tsammani, kuma mene ne zangon?

Amsoshi

(a) (36/37)³⁷ = 36.3%. Fiye da kashi ɗaya cikin uku na lokaci, juye-juye 37 suna wucewa ba tare da sifili ko ɗaya ba, wanda lissafi ɗaya ne da cewa “aƙalla nasara ɗaya a straight upcacaStraight upLamba ɗaya tak, biya 35:1.Karanta gaba ɗaya → (cacar lamba ɗaya) a juye-juye 37” 63.7% ce kawai. (b) Jira W yana bin rarraba geometric; p(W > k) = (36/37)ᵏ; median shi ne k inda wannan ya ketare 0.5, wato k ≈ 25. Rabin jire-jire juye-juye 25 ne ko ƙasa da haka, rabi kuma sun fi haka tsawo; doguwar wutsiya ce ke ɗaga matsakaicin 37. (c) Sifili a juye-juye 200 yana bin rarraba binomial tare da matsakaici 200/37 = 5.4 da standard deviationlissafiStandard deviationTushen murabba'i na bambancin sakamako; nisan da sakamako ke yawan yi daga ƙimar da ake tsammani.Karanta gaba ɗaya → √(200 × (1/37) × (36/37)) ≈ 2.3. Zangon 95% kusan daga 1 zuwa 10 ne.

Abin da sifili ke kashe wa mai cacar ɗaya zuwa ɗaya

Kowane sifili yana kashe kuɗin caca ɗaya, kuma sifili shi ne gaba ɗaya fifikon a kan jacacaJaCacar ɗaya zuwa ɗaya (even-money) a kan lambobi ja 18. A Faransanci: rouge.Karanta gaba ɗaya →: a juye-juye 37 na matsakaici, nasarori 18 da asarori 18 suna soke juna, kuma sifili ɗaya shi ne −1/37. A zaman wasa na juye-juye 200 da $10, sifili 5.4 da ake tsammani suna kashe $54, wanda daidai yake da 200 × $10 / 37. Zaman wasa mai sifili 2 ya sami sa'a mai kyau ta $34; zaman wasa mai sifili 9 ya sami rashin sa'a ta $36, kuma zai ji kamar an yi maguɗi. A teburin la partageƙa'idaLa partageƘa'idar Faransa: idan sifili ya fito, ana mayar da rabin kuɗin cacar ɗaya zuwa ɗaya (even-money). Tana rage fifikon gidan caca a kan waɗannan cace-cace da rabi, zuwa 1.35%.Karanta gaba ɗaya → kowane sifili yana kashe rabin kuɗin caca, kuma adadin yana raguwa da rabi.

Dokar La Partage a rouletteShin an shirya roulette na intanet don zamba? Tatsuniyar

Tambaya ta gaba

Mene ne yiwuwar sifili biyu a jere? (1/37)² = 1/1,369. A gidan caca mai teburai 20 da ke juyawa sau 50 a sa'a, hakan kusan sifili biyu a jere ne a wani wuri duk bayan sa'a 1.4. ʼYan wasan da suka gan shi suna cewa dabaran ya lalace; lissafin yana cewa rana ce kawai ta yau da kullum.

Ku gwada

Simulator na zaman wasa yana ƙirga sifili a kowane zaman wasa. Ku gudanar da juye-juye 100 sau ʼyan ɗari kaɗan sannan ku zana yawan: histogram ɗin da ke sama zai bayyana, tare da doguwar wutsiyarsa ta dama. A wutsiyar ne labaran ke fitowa.

Ƙa'idar lissafi

Tambayoyi