First, the probability that a roulette wheel has a different number than a wheel of 10.
(10 + 1 + 2 + 3 +… + 10)^3
Then, the probability that the wheel with that number has no number at all.
(2^6 + 4^6 + 4^7 +… + 4^30 + 40 + 100) * 3.5*10^-7 = 1 in 26.6000000
This one’s easy: the chance that an exact number on the wheel is the number you are looking for is 1 in 26.6000000.
If you use the same wheel, the probability that no number matches your expectation is the same — 1 in 26.6000000.
There is a reason why roulette wheels do not have numbers at the end, but we will get to that later.
There is the probability that you will end up with a number on the wheel that is exactly 3 digits long. Thats the number of decimal places (1, 2, 3, 4) on the wheel.
The number of places on the wheel of 1/26.6000000
is therefore 1/26.4000000, or .002
There are 2,268,000,000,000,000,000,000 possible decimal places in a 2 digit number (1, 2, 3, 4) and so your chance of finding a number is:
1 in 26.4000000 = 1 in 6
The probability of finding a number exactly 3 digits long, that is the number of decimal places (1, 2, 3, 4) on the wheel: 1 in 60000636.68
That’s not all. This number is also called the “odds of finding the number on the wheel of 1/26.6000000” [1]
That number is also known as the “divisor” of 3 in roulette. It is the number you have to divide the number on the wheel of 1/26.6000000 by 2 when trying to find the number.
Here is the table of divisors for 6 digit numbers (1, 2, 3, 4):
6 digit number divisor 1 2 3 4 1/26.6000000 2 2.4000000 2.25 2.8 2.95 3.1 3.2 3.3 3.4 3.5 3.6 3
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