Problem: de douzenn ek enn zeton

Problem-la

Ou mize $10 lor premie douzennpariDouzenn1–12, 13–24 ouswa 25–36, peye 2:1.Lir tou →, $10 lor dezyem douzenn ek $1 lor zerorouZeroSel kaz ver ki okenn pari peman egal, douzenn ouswa kolonn pa kouver; sours lavantaz kazino. Osi: enn sel zero, 0.Lir tou →. (a) Ki bann rezilta posib ek zot probabilite? (b) Ki valer atandimatematikValer atandiRezilta mwayen par pari lor enn long dire. −1/37 miz-la pou sak pari eropeen standar.Lir tou →? (c) Eski zetonlarzanZetonEnn zeton ki reprezant enn montan fix, ki ou poze lor tapi pari pou fer enn pari. Osi: check.Lir tou → lor zero-la amelior pari-la?

Solision (a) ek (b)

Rezilta: boulekipmanBoulTi boul ki lanse dan simen-la dan sans kontrer rotor. Zordi bann boul an ivorine ouswa Teflon, 18–21 mm.Lir tou → dan 1–24 (24 kazekipmanKazEnn bann 37 konpartiman avek nimero lor rotor. Osi: slot, cup.Lir tou →): enn douzenn pey $20, lot-la perdi $10, zero perdi $1: net +$9. Boul dan 25–36 (12 kaz): le de douzenn perdi, zero perdi: −$21. Boul lor zero (1 kaz): bann douzenn perdi $20, zero pey $35: +$15. EV = (24 × 9 + 1 × 15 − 12 × 21)/37 = (216 + 15 − 252)/37 = −21/37 ≈ −$0.57 par tour lor $21 mize: 2.70%.

Solision (c)

San zeton lor zero: (24 × 10 − 13 × 20)/37 = (240 − 260)/37 = −20/37 ≈ −$0.54 lor $20 mize, osi 2.70%. Zeton lor zero-la inn transform rezilta zero −$20 an +$15 (enn amelyorasion $35 enn fwa lor 37, ki vo $0.95 par tour) ek li kout $1 lor 36 lezot tour (ki vo $0.97 par tour). Sanzman net: −$0.03 par tour, ki se 2.70% dolar anplis-la. Lasirans-la gagn pri egzakteman kouma tou lezot zafer.

Kifer sa vre partou

Bann valer atandi azoute. Ninport ki lansam pari ansam ena enn EV egal ar som EV so bann morso, ek sakenn vo −1/37 so miz. Alor ninport ki konbinezon vo −1/37 total miz-la. Pena okenn fason met zeton lor tapi pariekipmanTapi pariGrij pari ki enprime lor latab. Osi: latab, feutre, tapi.Lir tou →, ninport komie, ki sap sa; zouti Bet Builder pou konfirm li pou ninport ki lansam ou kapav met. Seki bann konbinezon sanze se distribision-la: komie souvan ou gagne, komie, ek kouma pli move ka-la move.

Enn kestion pli difisil

Rod enn konbinezon pari standar ki kouver tou 37 nimero. Trwa douzenn ($10 sakenn) plis $1 lor zero: ninport ki nimero 1–36 donn net −$1 (enn douzenn pey $20, lezot de perdi $20, zero perdi $1), ek zero donn net +$35 − $30 = +$5. EV = (36 × (−1) + 5)/37 = −31/37 lor $31 mize: 2.70%. Ou kapav garanti ki ou zame pou gagn sirpriz, me ou kontinie pey mem pri pou sa privilez-la.

Formil

Kestion