Despite all the discussion about probabilities and figures, it looks like few people can actually calculate mathematically the opportunity of any given roulette result. Sometimes they resort to excel or use specialized applications, attempting to test countless twists in order to come up with the ideal number. When someone understands basic probability, one can answer just about any question concerning the certainty of any result using only a simple calculator or just put the equation as a formulation in a simple excel file.
First we have to know what’s the the factorial function, which gets the symbol:!
This means to multiply a string of descending natural numbers.
4! = 4 ?? 3 ?? 2 ?? 1 = 24 7! = 7 ?? 6 ?? 5 ?? 4 ?? 3 ?? two ?? 1 = 5040
1! = 1
0! =1 (axiomatically)
Practically for roulette functions, a factorial shows in how many various ways, distinct items (or numbers) can be arranged. Without repetitions of number or the same item. To give you an idea how enormous this number can become, for 37 amounts, like in Western roulette:
37! = 1.3763753??1043
This usually means that there are many trillions of trillions of distinct arrangements of the 37 roulette figures. Without counting the possible repetitions of numbers. Just in how many different ways (sequences) all the roulette numbers can appear in 37 spins. You can read more about mathematical combinations here.