# How to Calculate Roulette Probabilities (Mathematics)

21/11/2019

Despite all of the discussion about probabilities and statistics, it seems that few people may really calculate mathematically the opportunity of any roulette result. Sometimes they resort to excel or use specialized applications, trying to test millions of twists so as to think of the ideal number. Whenever someone understands basic probability, an individual can answer just about any question concerning the certainty of any outcome using just a simple calculator or simply put the equation as a formula in a simple excel file.
First we have to understand what is exactly the the factorial function, which has the symbol:!
This means to multiply a series of descending natural amounts.
Examples:
4! = 4 ?? 3 ?? 2 ?? 1 = 24 7! = 7 ?? 6 ?? 5 ?? 4 ?? 3 ?? two ?? 1 = 5040
1! = 1
0! =1 (axiomatically)
Practically for roulette purposes, a factorial shows how many different ways, different items (or amounts ) can be arranged. Without repetitions of amount or the exact same item. To give you an idea how enormous this number can become, for 37 numbers, such as in European roulette:
37! = 1.3763753??1043
This usually means there are many trillions of trillions of distinct arrangements of their 37 roulette numbers. Without counting the possible repetitions of amounts. Just how many different ways (strings ) each of the roulette numbers can appear in 37 spins. You may read more about mathematical mixtures.