It is important to add that the above-mentioned calculation of probability deals with a multiple (successive) events, i.e. If such a bet on a series of outcomes was possible in Roulette, we would win $3 billion for a $1 bet(!) The true (fair) odds are calculated as a reciprocal of the probability, that is 1 ÷ probability. If we convert this probability into true odds that would have to be offered to us by a casino, we get the value 3,010,936,384 to one. That is a very small number indeed, roughly three billionths only. Therefore the probability that the same number comes up six times in a row is: During the course of the American Roulette, number ten occurred even six times in a row! The probability of such (successive) events is determined by a multiplication of individual events. The longest reliable series was registered at the hotel El San Chuan in Puerto Rico on 9 June 1959. There is no doubt that it is a great coincidence when the same number comes up again and again.
The probability that any single number occurs is 1/37 in French Roulette and 1/38 in American Roulette (there are 36 numbers + zero + double zero in American Roulette). Record Occurrence of a Single Number in Roulette
