LABTEKO 06df = 36α = 0.05seed 99

Leeme la Lebidi la Roulette

Lebidi la roulette le nang le leeme le rata mekotlana e meng ka lebaka la bofokodi ba motjhini: lepheko le hlephileng, rotor e sa lekaneng, mekotlana e senyehileng. Leeme la lebidi la roulette le teng mme le kile la sebediswa. Bothata ke hore lebidi le lokileng ka botlalo le hlahisa “dinomoro tse tjhesang” kamehla, kahoo potso ha se mohla e leng hore na nomoro e a tjhesa, empa ke hore na paterone yohle e sekame ho feta kamoo monyetla o dumellang.

1. Nka sampole ya lebidi le lokileng

Dipotoloho tse nkilweng lebiding le etsisitsweng le se nang leeme ho hang. Fetola boholo ba sampole mme o shebe mokotlana o tjhesang ka ho fetisisa.

0321519421225173462713361130823105241633120143192218297281235326
dipotoloho370
e lebelletsweng ka mokotlana10.0
mokotlana o tjhesang haholo20 · ho otla ha 16 (4.32%)
o tjhesang haholo le e lebelletsweng+60% · 1.9σ
chi-square · p32.8 · 0.622
qetoha ho bopaki ba leeme

2. Tse bonweng kgahlanong le tse lebelletsweng

Bara ka nngwe ke mokotlana ka tatelano ya lebidi. Mola wa matheba ke palo e lebelletsweng, n/37. Sebaka se nang le moriti ke ±2 diphapang tse tlwaelehileng: lebiding le lokileng e ka bang mokotlana o le mong ho e mashome a mabedi o tla tswa ka ntle ho sona ka monyetla feela.

0mekotlana ka tatelano ya lebidi →26

3. Teko ya chi-square

Teko e kopanya hore na mokotlana ka mong o hole hakae le tebello, ka sekwere mme o lekantswe. Lebiding le lokileng kakaretso e latela kabo ya chi-square ka degrees of freedom tse 36; p-value e ka tlase ho 0.05 ka tlwaelo e bitswa ya bohlokwa.

χ² = Σ (Oᵢ − Eᵢ)² / Eᵢ Eᵢ = n/37 df = 36
n = 370 · E = 10.00 · χ² = 32.80 · p = 0.622
Temoso ya boholo ba sampoleKa tlase ho dipotoloho tse ka bang 1,000 teko e batla e se na matla a ho fumana maeme a nnete, mme sephetho sa “bohlokwa” ho p < 0.05 se tla etsahala ka monyetla ho 1 ho disampole tse ding le tse ding tse 20 tse lokileng tseo o di shebang. Ho leka mabidi a mangata, kapa ho leka lebidi le le leng hape ho fihlela le feta, ho netefatsa diphetho tse fosahetseng.

4. O ka hloka dipotoloho tse kae

Dipotoloho tse hlokehang ho fumana mokotlana o le mong o tswang kgafetsa ho feta 1/37, boemong ba 5% ba lehlakore le le leng ka matla a 80%. Mokotlana o tswang 1 ho tse 35 ho e na le 1 ho tse 37 e ka ba molemo o matla bakeng sa sebapadi, mme ho nka dipotoloho tse mashome a dikete tse ngotsweng ho o netefatsa.

tekanyo ya nnetemolemo wa sebapadidipotoloho tse hlokehangka dipotoloho tse 40/h
1 ho 25+44.0%1,10828 h
1 ho 30+20.0%4,392110 h
1 ho 33+9.1%15,747394 h
1 ho 35+2.9%69,4611,737 h
Ho netefatsa leeme ho bolela ho ngola dipotoloho bosiu ka mora bosiu, tse mashome a dikete tsa tsona.

Mokgwa wa ho Bala

Ho nka sampole. Ho kgetha ho lekanang ho tswa mekotlaneng e 37 ho sebediswa jenereithara e nang le seed (mulberry32, seed ya 99), e le hore leqephe le ka phetwa.
Teko. Pearson chi-square goodness of fit, degrees of freedom tse 36, p-value ho tswa ho regularized incomplete gamma function.
Matla. Kakanyo ya normal ya teko ya karolo e le nngwe, α = 0.05 ka lehlakore le le leng, matla a 0.80.
Boholo. Ho fumana ka dipalopalo feela. Disosa tsa motjhini le manollo e itshetlehileng ka dikarolo tsa lebidi (ho e na le mekotlana) di hlaloswa ho Manollo ya Dikarolo tsa Lebidi.

Ho phomola ka metlae

Lebidi le lokileng le etsa dinomoro tse tjhesang bosiu bo bong le bo bong. Ho paka leeme ho nka dipotoloho tse mashome a dikete.

Lebidi le lokileng le etsa dinomoro tse tjhesang bosiu bo bong le bo bong. Ho paka leeme ho nka dipotoloho tse mashome a dikete.

Mehlodi

  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. Kgaolo ya 13, Roulette.