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Re: The Roulette Conundrum
The probability to have something else than a zero is 36/38 (on a common roulette, with a 0 and a 00). That is for one spin.
For n spins, the probability is (36/38)^n (36/38 to the power n).
If this value reaches 50 % (or 0.5), the probability that you have no zero spin is equal to the probability that you have had at least one zero spin.
With two zeroes this will be after 12 or 13 spins, with only one zero this would be after 25 or 26 spins. You can check this easily with a formula in Excel.
Of course, even with an unlimitted number of spins, you can never be sure that at least once you had a zero. An unbiased roulette "forgets" what numbers have come out before !
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"Wonder is no wonder" (Simon Stevin 1549-1620)
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