Martin Blakey: Roulette : a winning strategy, pp52,53

set of 16 numbers selected in any manner will yield similar results is a valid conclusion and satisfies the theoretical expected conclusion.

I do not believe that there are any biased wheels in use in any Australian or UK casino. It would be against the casino's interest to allow any bias since an aware player could take advantage of such a situation.

I do not believe that any croupier using the modern shallow roulette wheels, is able to spin the roulette ball so that it comes to rest in a predetermined slot or even predetermined section of the wheel. Many experienced croupiers may try to impress you by claiming all sorts of historical tales. If a croupier was able to control the destination of the roulette ball then after a short period of time, surely his friends and family would all be wealthy. Over a period of time the same results would be obtained if an infinite number of different croupiers had one spin each of the roulette wheel.

The roulette wheel is a mechanical device which produces random events, thus there is no validity in any method, strategy or system which will purport to predict the next outcome since each roulette outcome is an independent event.

For the interested reader, the following table sets out the frequency of each number over the 40000 roulette spins. The 40000 spins were recorded from play at Launceston Casino over several sessions. Each sessions play have been linked consecutively to give a continuous flow of 40000 consecutive spins.

The effect of time breaks do not effect the data. It would be in effect as though the roulette wheel was put in storage between each session.

The following frequency table shows the number of times each roulette outcome ranging from 0 to 36 occurred in the set of 40000 spins. The column headed TOT reflects the total frequency for each roulette number. It can be seen that the number 0 occurred 1004 times whilst the number 2 occurred 1120 times. The longest gap between a number occurring is shown in the last column headed L.


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It can be seen that number 9 slept for 401 spins at one stage during the 40000 spins. The theoretical frequency for any number would be calculated by dividing 40000 by 37 which is 1081or 2.7%

NO.TOT  %  L
  010042.51270
  110822.70330
  211202.80246
  310302.57246
  411962.99237
  511262.81265
  610722.68278
  711052.76260
  810362.59250
  910492.62401
1011072.76295
1110432.60237
1210832.70238
1310192.54261
14 9892.47260
1510802.70261
1610052.51264
1711612.90291
1811232.80252
NO.TOT  %  L
1910732.68429
2010842.71284
2111802.95230
2211142.78267
2311162.79251
2410232.55293
2511602.90248
2610402.60230
2710082.52215
2810752.68324
2911202.80265
3011082.77339
3110982.74324
3211192.79258
3310332.58291
3410542.63237
3510762.69321
3610872.71215
    

Comparing the actual results to the theoretical, it can be seen that there is a strong correlation.

Having said all this you may be wondering if I am negating my own belief that it is possible to use past roulette outcomes as an aid to selecting a set of numbers to play in the future in order to overcome the house percentage. In order to try to convey my theory I suggest you ponder the following.

Consider a bet on red only. The probability of winning is 18 chances in 37 or .4865, since there are 18 red numbers and a total of 37 numbers. Suppose the consecutive roulette outcomes are recorded and after 50 spins, red only resulted on 10 occasions. What would be your level of confidence that over the next 50 spins red will occur 10 or less times?

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