NHWEHWƐMU DANSƆHWƐ 06ahofadie dodoɔ = 36α = 0.05seed 99

Roulette ntwahonan animhwɛ

Roulette ntwahonan a ɛyɛ animhwɛ pɛ ntokuru bi ɛfiri sɛeɛ bi a ɛwɔ ne honam mu nti: ntamu ban a ayɛ mmerɛ, rotor a ɛnkari pɛ, ntokuru a awe. Roulette ntwahonan animhwɛ wɔ hɔ na nnipa de anya mfasoɔ pɛn. Ɛyɛ den ɛfiri sɛ ntwahonan a ɛyɛ pɛ koraa ma “nɔma a ɛhye” ba bere biara, enti asɛmmisa no nyɛ sɛ nɔma bi hye anaa, na mmom sɛ nhyehyɛe no nyinaa nkari pɛ sene sɛdeɛ akwadworɔ tumi ma anaa.

1. Yi nhwɛsoɔ firi ntwahonan a ɛyɛ pɛ so

Kyinhyia a ɛfiri ntwahonan a wɔasɔ ahwɛ a animhwɛ biara nni so koraa. Sesa nhwɛsoɔ dodoɔ no na hwɛ tokuru a ɛhye koraa no.

0321519421225173462713361130823105241633120143192218297281235326
kyinhyia370
deɛ wɔhwɛ kwan wɔ tokuru biara mu10.0
tokuru a ɛhye koraa20 · mprɛ 16 (4.32%)
deɛ ɛhye koraa ne deɛ wɔhwɛ kwan+60% · 1.9σ
chi-square · p32.8 · 0.622
atemmuoanimhwɛ ho adansedeɛ biara nni hɔ

2. Deɛ wohunuu ne deɛ wɔhwɛ kwan

Dua biara yɛ tokuru wɔ ntwahonan so nhyehyɛe mu. Nsensanee a ɛtetew no yɛ dodoɔ a wɔhwɛ kwan, n/37. Ntam kwan a ɛyɛ kusuu no yɛ ±2 gyinapɛn nsakraeɛ: wɔ ntwahonan a ɛyɛ pɛ so no, ntokuru aduonu mu bɛyɛ baako bɛfiri mu kwa.

0ntokuru wɔ ntwahonan so nhyehyɛe mu →26

3. Chi-square sɔhwɛ

Sɔhwɛ no ka sɛdeɛ tokuru biara ne deɛ wɔhwɛ kwan ntam kwan teɛ bom, a wɔabɔ no ahinanan na wɔasusu. Wɔ ntwahonan a ɛyɛ pɛ so no, ne nyinaa bom di chi-square nkyekyɛmu a ahofadie dodoɔ 36 wom akyi; p-boɔ a ɛwɔ 0.05 ase no, wɔtaa frɛ no akontaabu mu nnyinasoɔ.

χ² = Σ (Oᵢ − Eᵢ)² / Eᵢ Eᵢ = n/37 df = 36
n = 370 · E = 10.00 · χ² = 32.80 · p = 0.622
Kɔkɔbɔ fa nhwɛsoɔ dodoɔ hoSɛ ɛba fam sene bɛyɛ kyinhyia 1,000 a, sɔhwɛ no nni tumi biara sɛ ɛbɛhunu animhwɛ a ɛtaa ba, na nsɛm a “akontaabu mu nnyinasoɔ wom” wɔ p < 0.05 bɛba kwa mprɛ 1 wɔ nhwɛsoɔ 20 a ɛyɛ pɛ biara a wohwɛ mu. Sɛ wosɔ ntwahonan pii hwɛ, anaa wosan sɔ ntwahonan koro no ara hwɛ kɔsi sɛ ɛbɛfa a, ɛma nkonim hunu ba ampa.

4. Kyinhyia dodoɔ a ɛbɛhia wo

Kyinhyia a ɛhia na woahunu tokuru baako a bɔɔl tɔ mu mpɛn pii sene 1/37, wɔ ɔfa baako 5% nnyinasoɔ ne tumi 80% so. Tokuru a bɔɔl tɔ mu mprɛ 1 wɔ 35 mu mmom sene 1 wɔ 37 mu no bɛyɛ mfasoɔ kɛseɛ ama agorɔfoɔ, na ɛhia kyinhyia mpem du du pii a wɔakyerɛw ato hɔ ansa na woasi so dua.

dodoɔ ankasaagorɔfoɔ mfasoɔkyinhyia a ɛhiawɔ kyinhyia 40/dɔnhwerew
25 mu 1+44.0%1,108nnɔnhwerew 28
30 mu 1+20.0%4,392nnɔnhwerew 110
33 mu 1+9.1%15,747nnɔnhwerew 394
35 mu 1+2.9%69,461nnɔnhwerew 1,737
Sɛ wopɛ sɛ wosi animhwɛ so dua a, ɛkyerɛ sɛ wobɛkyerɛw kyinhyia ato hɔ anadwo biara, mpem du du pii.

Akontaabu ɔkwan

Nhwɛsoɔ yi. Ntokuru 37 mu nhwɛsoɔ a ne hokwan yɛ pɛ, a ɛfiri nɔma yɛfoɔ a wɔde aba bi (mulberry32, seed 99), sɛdeɛ ɛbɛyɛ a krataafa no bɛsan ama nsɛm koro no ara.
Sɔhwɛ. Pearson chi-square sɔhwɛ a ɛhwɛ sɛ ɛhyia anaa, ahofadie dodoɔ 36, p-boɔ a ɛfiri regularized incomplete gamma function mu.
Tumi. Normal bɛyɛ a ɛfa one-proportion sɔhwɛ ho, α = 0.05 ɔfa baako, tumi 0.80.
Ne kɛseɛ. Akontaabu mu hunu nko ara. Nneɛma a ɛfiri ntwahonan no honam mu ne nhwehwɛmu a ɛgyina afa so (sene ntokuru) no wɔ Ntwahonan afa ho nhwehwɛmu mu.

Serew kakra

Ntwahonan a ɛyɛ pɛ ma nɔma a ɛhye ba anadwo biara. Sɛ wopɛ sɛ wokyerɛ animhwɛ a, ɛhia kyinhyia mpem du du pii.

Ntwahonan a ɛyɛ pɛ ma nɔma a ɛhye ba anadwo biara. Sɛ wopɛ sɛ wokyerɛ animhwɛ a, ɛhia kyinhyia mpem du du pii.

Nsɛm fibea

  1. Pearson, K. (1900). On the criterion that a given system of deviations… Philosophical Magazine, 50(302).
  2. Thorp, E. O. (1969). Optimal gambling systems for favorable games. Review of the International Statistical Institute, 37(3).
  3. Ethier, S. N. (2010). The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer. Ti 13, Roulette.