Te Whakapōturi
Te wāhanga kotahi o te hurihanga e tino taea ana te matapae.
Ko te whakapōturi o te pōro i runga i te ara, ka whai i tētahi kōpiko māeneene e whakaritea ana e te waku me te ātete. Mai i ētahi wā huringa ruarua, ka taea e koe te whakatau tata i te wā taka ki roto i tētahi hautanga o te hēkona. Ko te marara i muri, ka whakakore i te nuinga o taua tōtika.
Te tauira
Me whakaaro he whakapōturi 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 raro i tētahi wāhanga pūmau a (te waku takaoriori) me tētahi wāhanga e hāngai ana ki te tere b·v (te ātete hau me ngā ngaronga e whai pānga ana ki te tere): dv/dt = −(a + bv). Ko te otinga, he whakatata ā-taupū ki te tere taka arohaehae. Nō reira ka tipu te wā rauna T = 2πr/v i ia rauna i tētahi rahinga e piki haere ana. Whakataua te a me te b mai i ngā rauna tuatahi ruarua, ā, ka whai mai ngā rauna e toe ana me te wā taka. Kāore he mea ke i konei; he pūhanga tau tuatahi o te whare wānanga e whakahāngaitia ana ki tētahi pōro i runga i tētahi ara.
He aha te hua o te whakatau tata
Ko tētahi wā taka ki roto i te 0.2 hēkona, me te tere rōtataputapuRōtaTe wāhanga o te wīra e huri ana, e mau ana i ngā kōhao.Pānuitia katoatia → 15 kōhaotaputapuKōhaoTētahi o ngā wehenga e 37 kua tauia i te rōta. Arā anō: slot, cup.Pānuitia katoatia → i ia hēkona, ka kitea te kōhao kei raro i te wāhi taka ki roto i te āhua o te toru kōhao. Koinei te rongo pai mō te kaimatapae. Ko te rongo kino, ka whakawhiti te pōro i te pāpātītahataputapuPāpātītahaTe wāhi tītaha i waenga i te ara pōro me ngā kōhao, kei reira ngā kaipare.Pānuitia katoatia →, ka patu i tētahi kaiparetaputapuKaipareTētahi o ngā ārai whakarewa i te pāpātītaha e whakamarara ana i te pōro e taka ana. Arā anō: waka, taimana, titi.Pānuitia katoatia →, ka pekepeke i ngā pakitarataputapuPakitaraTe wehenga whakarewa i waenga i ngā kōhao e rua i te wīra.Pānuitia katoatia →, ā, ko te kōhao whakamutunga ka horahia ki tētahi tohatoha 20 ki te 30 kōhao te whānui. Ko te tōtika o te wāhanga ara, ka pau te nuinga i te marara o te wāhanga taka.
He aha e toe ana
Mēnā he mōti tō te tohatoha marara, arā, he nui ake te tau o te pōro ki te taha o te kōhao taka i tā te matapōkere, nā ka puta he painga iti mā te peti i tētahi wāhangawīraWāhangaHe pewa kōhao honohono i te wīra, he rerekē i tētahi rōpū i te mahere peti.Pānuitia katoatia → huri noa i te kōhao kua matapaetia. I ine a Small rāua ko Tse (2012) i tēnei i te taiwhanga me tētahi kāmera, ā, i kitea e rāua he teitei rawa te pāpātanga pā o te wāhanga kua matapaetia, i huri ai te painga o te wharepāngarauPainga o te whareTe wāhanga o ia moni peti ka puritia e te whare petipeti i te toharite: 2.70% i te rūreti Ūropi.Pānuitia katoatia → hei painga mō te kaitākaro, ruarua ōrau. Ko ō rāua āhuatanga, he tirohanga katoa mai i runga, he wīra mōhiotia, he peti i tukuna i muri i te tukunga o te pōro, kāore i te tēpu ora.
He aha e rerekē ana i tēnā hāora, i tēnā
Kāore ngā pūmau e rua i te pūmau mō tētahi wīra. I kitea e ngā Eudaemons, nā rātou i ine te wā o tētahi wīra whare petipeti mō ngā tau maha i ngā tau 1970, ko te hau te nuinga o te whakapōturi, nui ake i te ara, ā, he take tō te pōro: ko tētahi pōro Teflon i ngaro tōna tere kia rua ngā wā te tere ake i tētahi pōro i hangaia ki te rauemi pōro piriata. I kite anō rātou i te paheke o ā rātou matapae i te 5 ki te 10% i te hāora ina huakina tētahi kūaha, ina huri rānei te huarere, nā te mea ka wawe ake te whakapōturi o te pōro i te hau mākū, taumaha rānei. Nō reira i puritia e tā rātou hōtaka he tautuhinga motuhake mō te pāpātanga whakapōturi o te pōro me te tere e wehe ai ia i te ara, ā, i tautuhi anō te kaitākaro i ēnei e rua i ia tēpu, ā, anō hoki i te wā ka tīmata ngā matapae ki te paheke.
He aha i whakamāramatia ai tēnei e te Taiwhanga
Ehara i te mea kia taea e te tangata te mahi. Engari hei whakaatu i te tino āhua o te matapōkere o te kēmu: he wāhanga tūturu e tiakina ana e ngā whare petipeti mā te kati moata i ngā peti me ngā huringa iti rawa, me tētahi wāhanga hepohepo e tiakina ana e rātou mā ngā kaipare me ngā pakitara pāpaku. Ko te kaitākaro e mārama ana ki tēnei, e mārama ana he aha i haumaru ai te 2.70%.
Mahia te tātai e koe anō
Inea te wā o te pōro e pahure ana i tētahi kaipare i tētahi pāho, mō ngā rauna e toru, ka tohu tata ai mō ngā rauna e whai ake ana; i te nuinga o te wā ka tata koe ki roto i te rauna kotahi o te taka, arā, ko te wāhanga tūturu e mahi ana pērā i te whakamārama. Kātahi ka mātaki i te wāhi tūturu ka tau te pōro e ai ki te kōhao kei raro i te wāhi taka, ā, tatauria mō ngā hurihanga e rima tekau. He tohatoha marara te tatau, ā, ko tōna whānui te whakautu ki te pātai “he aha e kore ai e taea te hinga i tēnei?”.
Tātai
Ngā pātai
Kāo. Ka rerekē te waku i te puehu, i te haumākū, i te rorenga. Ka whakatau anō ngā kaimatapae i ia hurihanga.
Mā te toru he whakatau tata mōrearea; mā te rima, te ono rānei he whakatau pai. Ko te iti rawa e whā a ngā taiwhanga pāho, he iti te wā e toe ana hei peti, ā, kua kati kē ngā peti.
Ruarua nei, mō te wā poto, me ngā taputapu, i mua i te urutau a ngā whare petipeti me te whai mai a ngā ture. Tirohia te tākaro whai painga.
He Pārekareka te Pāngarau
Me whakamātau koe i ēnei i te tuatahi. Kua kōpakina ia otinga; whakatuwherahia ina rite koe.
I te tauira whakaahua a Thorp o 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 → e pōturi haere ana, mēnā e T hēkona te roa o te takahuri kotahi i te ara, ko ngā takahuri e toe ana i mua i te wehenga o te pōro i te ara ko te 1/(e^(3T/20) − 1) − 10/3. E hia e toe ana i muri i te takahuri o te haurua hēkona, ā, i muri i te takahuri o te hēkona katoa? E hia te nekehanga o te matapae i te hapa ine wā o te 0.012 hēkona i T = 0.8?
Whakaaturia te otinga
Whakautu Tata ki ngā takahuri 9.5 i muri i te takahuri haurua hēkona, ā, 2.85 i muri i te takahuri hēkona kotahi. Ka nekehia te matapae e te hapa tata ki te 0.12 o te takahuri, tata ki ngā kōhaotaputapuKōhaoTētahi o ngā wehenga e 37 kua tauia i te rōta. Arā anō: slot, cup.Pānuitia katoatia → 4½.
T = 0.5: 3T/20 = 0.075, ā, e^0.075 ≈ 1.0779, nō reira 1/0.0779 ≈ 12.84, ā, 12.84 − 3.33 ≈ 9.51 takahuri. T = 1: e^0.15 ≈ 1.1618, 1/0.1618 ≈ 6.18, ā, 6.18 − 3.33 ≈ 2.85. Ko te takahuri tere, he maha ngā takahuri e toe ana, ā, ko te takahuri e rua whakarea te pōturi ka waiho iti iho i te hautoru te maha.
I T = 0.8 ka hoatu e te tātai ngā takahuri 4.51; i T = 0.812 ka hoatu 4.39. Ko te hapa o ngā wāhanga 12 o te kotahi mano o te hēkona, tata ki te wā e roroa ai te pōro i tōna ake whānui, ka neke i te matapae i te 0.12 o te takahuri: tata ki ngā kōhao 4½ o te wīra o ngā kōhao 37. Ko taua hapa kotahi te nuinga o ngā kōhao 5.5 e whakaaetia ana e te tahua hapa a Thorp mō te ine wā o te pōro (tirohia Tākaro Whai Painga), ā, koia ko te karaka, kaua ko te tātai, te mea e here ana i te kaimatapae.
He katakata iti
Ka taea te matapae tae noa ki te taka. Kātahi ko ngā kaipare.
Ngā Puna
- Small, M. & Tse, C. K. “Predicting the outcome of roulette.”
- Bass, T. A. The Eudaemonic Pie.
- Thorp, E. O. “Optimal gambling systems for favorable games.”