Ngā Hurihanga Rūreti Motuhake
Ka tīmata ia hurihanga mai i te kore noa.

Kāore te putanga o tētahi hurihanga e pā ki te mea e whai ake ana. Ko ia tātaitanga i tēnei pae e tū ana ki runga i taua meka.
Te tikanga o te motuhaketanga
p(wheropetiWheroHe peti utu ōrite ki ngā tau whero e 18. Wīwī: rouge.Pānuitia katoatia → i te hurihanga 2 | whero i te hurihanga 1) = p(whero) = 18/37. Kāore he mea e rerekē ina herea ki ngā mea o mua. Ko ngā tau werapakiwaitaraTau weraHe tau kua nui ake te puta i tērā i tūmanakohia i nā tata nei. I te wīra tōkeke, kāore he matapae.Pānuitia katoatia →, ngā tau makariripakiwaitaraTau makaririHe tau kāore anō kia puta mō ngā hurihanga maha. Kāore he mōhiotanga mō ngā hurihanga kei mua i te wīra tōkeke.Pānuitia katoatia → me ngā tae kua “tae te wā” he whakaahua i ngā mea o mua, ehara i te matapae, ā, ka tū ia mea ki runga i te kerēme hē ehara ngā hurihanga rūreti i te motuhake. Ā-ōkawa, ko te tūponotangapāngarauTūponotangaTe tūpono o tētahi putanga, mai i te 0 ki te 1, mai i te 0% ki te 100% rānei. Tau kotahi: 1/37 = 2.70%.Pānuitia katoatia → hono o tētahi raupapa ko te otinga o ngā tūponotanga o ia hurihanga kotahi, koinā anake te take e whakaaetia ai te ture whakarea i te whārangi tūponotanga.
He aha he hē ā-tinana te kī “ehara ngā hurihanga rūreti i te motuhake”
Ka panga ā-ringa te pōrotaputapuPōroTe pōro iti ka panga ki te ara, ki te ahunga kōaro ki te rōta. Ko ngā pōro o nāianei he ivorine, he Teflon rānei, 18–21 mm.Pānuitia katoatia → i tētahi tere e rerekē ana mā ngā hautekau o te mita i ia hēkona; ka porohita i tētahi ara e rerekē ana tōna waku i te puehu me te haumākū; ka pā ki tētahi o ngā kaiparetaputapuKaipareTētahi o ngā ārai whakarewa i te pāpātītaha e whakamarara ana i te pōro e taka ana. Arā anō: waka, taimana, titi.Pānuitia katoatia → e waru i tētahi koki i whakaritea e ērā katoa; ka tupeke i runga i ngā pakitarataputapuPakitaraTe wehenga whakarewa i waenga i ngā kōhao e rua i te wīra.Pānuitia katoatia →, ā, ko tō rātou pānga ki tētahi pōro i te 1 m/s he hepohepo i tōna tikanga hangarau. Kāore tētahi wāhanga o te hua o mua e ora tonu ana ki roto i tētahi o aua taurangi. Ko te rōtataputapuRōtaTe wāhanga o te wīra e huri ana, e mau ana i ngā kōhao.Pānuitia katoatia → taua rōta anō, koinā anake te wāhi e huna ai te whakawhirinakitanga, ā, koinā te pātai mō te wīra tītaha.
Ngā hua ka puta
Ko ia pūnaha peti he taumahi o ngā hua o mua. Mēnā kāore he mōhiohio o ngā hua o mua mō te hurihanga e whai ake ana, kāore he taumahi pērā e taea te whakapai ake i te uara tūmanakopāngarauUara tūmanakoTe hua toharite mō ia peti i te wā roa. −1/37 o te moni peti mō ia peti Ūropi paerewa.Pānuitia katoatia → o te peti e whai ake ana. Koinei te momo ōkawa o te tautohe ki ngā pūnaha, ā, koinā te take e taea ai te tuhi i ngā whārangi rautaki i mua mō ngā pūnaha kāore anō kia hangaia: kāore te whakamatautau e whakawhirinaki ana ki te ture.
Ngā wā e hinga ai
Mēnā anake he tītaha ā-tinana te wīra, ka taea rānei te matapae i te tuku a te kaitiritiri. He kaupapa ērā nō te Taiwhanga. Ahakoa i reira, ko te whakawhirinakitanga kei te ahupūngao, kaua kei ngā hua o mua: ko tētahi kōhaotaputapuKōhaoTētahi o ngā wehenga e 37 kua tauia i te rōta. Arā anō: slot, cup.Pānuitia katoatia → tītaha he nui ake tōna tūpono i ia hurihanga, kaua i muri i tōna “makariri”. Ko ngā raraunga mai i ngā hurihanga o mua he taunakitanga mō te wīra, he mea rerekē tērā i tētahi tauira i ngā putanga.
He whakapae te motuhaketanga
Ka whakaaetia te whakarea i ngā tūpono ina motuhake anake ngā takahanga, ā, ka riro i te wīra rūreti taua tika mā te ahupūngao. I ētahi atu wāhi me tirotiro. I te tau 1999 ka whakataua a Sally Clark, he rōia nō Ingarangi, i te kōhuru i āna tama pēpi e rua. I kī tētahi tākuta tamariki ki te kaiwhakawā ko te tūpono o ngā mate pēpi ohorere e rua i tētahi whānau pērā i tōna he 1 i roto i te 73 miriona, he tatau i kitea e ia mā te pūrua i te 1 i roto i te 8,543, te tūpono o te kotahi. Ko te pūrua ka whakaaro ki ngā mate e rua me te mea he hurihanga wīra e rua. Engari he ōrite ngā ira me te kāinga o ngā tuākana-tēina, nō reira i muri i tētahi mate pēpi ohorere, he nui ake rawa te tūpono o te tuarua i tō te tuatahi. I kī tūmatanui te Royal Statistical Society i tērā i te tau 2001, ā, i whakakorea te whiunga o Clark i te pīra tuarua i te tau 2003, i muri i te putanga mai o ngā taunakitanga hauora kāore i whakaaturia. Ka whakamahi a Hunacek (2025) i te kēhi hei whakaako i te ture e tū ai tēnei whārangi: whakareatia ngā mea motuhake anake.
Te motuhaketanga me ngā tēpu RNG
Ka tō ngā tēpu pūmanawa i ia hua mai i tētahi pūwhakaputa tau matapōkere kua whakamanahia, ā, ka whakamātauria mō tēnei āhuatanga tonu: te motuhaketanga raupapa puta noa i ngā miriona tō. He whakapaipai noa te wīra hākoritanga. Ko te tēpu RNG e whakaatu ana i te whakawhirinakitanga ka hinga i te whakamanatanga, he whakamātautau kaha ake tērā i tā tētahi kaitākaro e taea ai.
Ngā pātai
Kāore ki tētahi kōhao. Tērā pea, mā te tino pūmau, ki tētahi wāhangawīraWāhangaHe pewa kōhao honohono i te wīra, he rerekē i tētahi rōpū i te mahere peti.Pānuitia katoatia → i te auau ake i te tūpono; tirohia ngā waitohu kaitiritiri i te Taiwhanga. Ka whakarerekē ngā taiwhanga pāho i te tuku hei ārai.
Mō te tātari tītaha i ngā mano hurihanga, ā-ariā. Mō te hurihanga e whai ake ana, kāo.
He Pārekareka te Pāngarau
Me whakamātau koe i ēnei i te tuatahi. Kua kōpakina ia otinga; whakatuwherahia ina rite koe.
Ko tētahi peti ka tukuna i mua i ngā hurihanga e rua ka utu ōrite mēnā he teitei ake te tau tuarua i te tau tuatahi. Ka hinga te ōrite, ā, ko te 0 te tau iti rawa. He aha tōna utu i te wīra Ūropi?
Whakaaturia te otinga
Whakautu Ko te 2.70% tonu, he ōrite ki te wheropetiWheroHe peti utu ōrite ki ngā tau whero e 18. Wīwī: rouge.Pānuitia katoatia →.
He motuhake ngā hurihanga e rua, nō reira he ōrite te tūpono ka teitei ake te tau tuarua i te tuatahi, ka iti iho rānei. Ko te āhuatanga kotahi atu ko te ōrite, ko te tau kotahi e rua ngā wā, ko te tūponotangapāngarauTūponotangaTe tūpono o tētahi putanga, mai i te 0 ki te 1, mai i te 0% ki te 100% rānei. Tau kotahi: 1/37 = 2.70%.Pānuitia katoatia → 1/37.
Nō reira ka toa te peti ko te tūponotanga (1 − 1/37)/2 = 18/37, ko te tūpono tonu o te whero, ā, ko tōna utu ko taua 2.70% anō.
Mēnā ka taea e koe te tuku i muri i te kitenga o te tau tuatahi, he koha tēnā: i muri i te 0 ka toa 36 wā i ngā 37. Koia me kati te peti pēnei i mua i te hurihanga tuatahi.
He katakata iti

Ka tīmata ia hurihanga mai i te kore noa. Ka whakawhirinaki ia tātaitanga i konei ki tērā.
Ngā Puna
- Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1.
- Small, M. & Tse, C. K. “Predicting the outcome of roulette.”
- Hunacek, M. Quantitative Literacy Through Games and Gambling.
- Royal Statistical Society. “Statement regarding statistical issues in the Sally Clark case.”