# How to Calculate Roulette Probabilities (Mathematics)

21/11/2019

Despite all of the talk about probabilities and statistics, it seems that few people can actually calculate mathematically the chance of any given roulette outcome. Sometimes they resort to excel or utilize specialized programs, attempting to test countless twists in order to think of the ideal number. When someone knows basic probability, an individual can answer just about any question regarding the certainty of any result using only a simple calculator or just put the equation for a formula in a simple excel document.
First we must know what is exactly the the factorial function, which has the symbol:!
It means to multiply a series of descending natural numbers.
Examples:
4! = 4 ?? 3 ?? two ?? 1 7! = 7 ?? 6 ?? 5 ?? 4 ?? 3 ?? 2 ?? 1 = 5040
1! = 1
0! =1 (axiomatically)
Practically for roulette functions, a factorial shows how many different ways, different items (or numbers) could be arranged. Without repetitions of amount or the exact same item. To give you an idea how enormous this number is now, for 37 amounts, like in Western roulette:
37! = 1.3763753??1043
This usually means there are lots of trillions of trillions of distinct arrangements of their 37 roulette numbers. Without counting the probable 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.