Roulette Spins Wey No Dey Depend on One Anoda
Every spin dey start from notin.

Di outcome of one spin no get any influence on di next one. Every calculation for dis site stand on dat fact.
Wetin Independence Mean
p(redbetRedEven-money bet on di 18 red numbers. For French: rouge.Read di whole tin → for spin 2 | red for spin 1) = p(red) = 18/37. To condition on history no dey change anytin. Hot numbersmythHot numberNumber wey don show pass wetin dem expect recently. For fair wheel e no dey predict anytin.Read di whole tin →, cold numbersmythCold numberNumber wey never show for many spins. For fair wheel, e no carry any information about di spins wey dey come.Read di whole tin → and colours wey “don due” na descriptions of di past, no be forecasts, and each one stand on di false claim sey roulette spins dey depend on each oda. Formally, di joint probabilitymathsProbabilityDi chance of one outcome, from 0 to 1 or from 0% to 100%. One number: 1/37 = 2.70%.Read di whole tin → of any sequence na di product of di single-spin probabilities, and na di only reason why dem allow di multiplication rule for di probability page.
Why “Roulette Spins Dey Depend on Each Oda” Na Lie for Physics
Dem dey launch di ballequipmentBallDi small ball wey dem dey throw for di track against di rotor. Modern balls na ivorine or Teflon, 18–21 mm.Read di whole tin → with hand for speed wey dey vary by tenths of metre per second; e dey go round track wey im friction dey change with dust and humidity; e dey hit one of eight deflectorsequipmentDeflectorOne of di metal tins for di apron wey dey scatter di ball as e dey fall. Dem also dey call am: canoe, diamond, pin.Read di whole tin → for angle wey all of dat one set; e dey bounce across fretsequipmentFretDi metal wey divide two pockets for di wheel.Read di whole tin → wey dia effect on ball for 1 m/s dey chaotic for di technical sense. Notin about di previous result dey survive enter any of dis variables. Di rotorequipmentRotorDi part of di wheel wey dey spin and carry di pockets.Read di whole tin → na di same rotor, and na di one place where dependence fit hide, and dat one na di wheel-bias question.
Wetin Dey Follow Am
Every betting system na function of past results. If past results no carry any information about di next spin, no such function fit improve di expected valuemathsExpected valueDi average result for each bet for di long run. −1/37 of di stake for every standard European bet.Read di whole tin → of di next bet. Na di formal version of di argument against systems be dis, and na why dem fit write di strategy pages before time for systems wey nobody never invent: di proof no depend on di rule.
When E Go Fail
Only if di wheel get physical bias or if pipo fit predict how di dealer dey release di ball. Dis ones na topics for di Lab. Even dia, di dependence na on physics, no be on previous results: pocketequipmentPocketOne of di 37 small boxes wey get number for di rotor. Dem also dey call am: slot, cup.Read di whole tin → wey get bias dey more likely for every spin, no be more likely afta e don dey “cold”. Di data from previous spins go be evidence about di wheel, and dat one different from pattern for di outcomes.
Independence Na Assumption
Dem dey allow you multiply chances only when di events no dey depend on each oda, and roulette wheel dey earn dat right through physics. For oda places, you must check am. For 1999, Sally Clark, one English solicitor, dem convict am sey she kill her two baby boys. One paediatrician tell di jury sey di chance of two cot deaths for family like her own na 1 out of 73 million, figure wey e get by squaring 1 out of 8,543, di chance of one. To square am dey treat di two deaths like two spins of wheel. But brothers dey share genes and house, so afta one cot death, di second one dey far more likely pass di first one. Di Royal Statistical Society tok am for public for 2001, and dem cancel di conviction of Clark for second appeal for 2003, afta medical evidence wey dem no disclose before come out. Hunacek (2025) dey use di case to teach di rule wey dis page stand on: multiply only wetin no dey depend on each oda.
Independence and RNG Tables
Software tables dey draw every result from certified random number generator wey dem test for exactly dis property: serial independence across millions of draws. Di wheel wey dey move for screen na decoration. RNG table wey show dependence go fail certification, and dat test strict pass anytin wey player fit run.
Questions wey pipo dey ask
No be for one pocket. Maybe, with plenty consistency, for one sectorwheelSectorPockets wey follow each oda for one arc of di wheel, no be group for di layout.Read di whole tin → more often pass chance; see dealer signatures for di Lab. Studios dey vary di release to stop am.
For bias analysis over thousands of spins, for principle. For di next spin, no.
Play with Maths
Try dem by yourself first. Each solution dey folded; open am when you ready.
Bet wey you put before two spins dey pay even money if di second number high pass di first. Tie dey lose, and 0 dey count as di lowest number. How much e dey cost for European wheel?
Show di solution
Answer Exactly 2.70%, di same as redbetRedEven-money bet on di 18 red numbers. For French: rouge.Read di whole tin →.
Di two spins no dey depend on each oda, so di chance sey di second number go high pass di first na di same as di chance sey e go low pass am. Di only oda case na tie, di same number two times, with probabilitymathsProbabilityDi chance of one outcome, from 0 to 1 or from 0% to 100%. One number: 1/37 = 2.70%.Read di whole tin → 1/37.
So di bet dey win with probability (1 − 1/37)/2 = 18/37, exactly di chance of red, and e dey cost di same 2.70%.
If you fit put am afta you see di first number, e go be free gift: afta 0, e dey win 36 times for 37. Na why bet like dis must close before di first spin.
Small laugh

Every spin dey start from notin. Every calculation here depend on am.
Sources
- 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.”