# How to Calculate Roulette Probabilities (Mathematics)

21/11/2019

Despite all of the talk about probabilities and statistics, it looks like few people can actually calculate mathematically the opportunity of any roulette outcome. Sometimes they resort to excel or use specialized programs, trying to test countless spins in order to think of the right number. Whenever someone understands basic probability, one can answer just about any question concerning the certainty of any result using just a simple calculator or simply put the equation as a formulation in a simple excel document.
First we must understand what’s exactly the the factorial function, which has the symbol:!
This means to multiply a string of descending natural amounts.
Cases:
4! = 4 ?? 3 ?? 2 ?? 1 7! = 7 ?? 6 ?? 5 ?? 4 ?? 3 ?? two ?? 1 = 5040
1! = 1
0! =1 (axiomatically)
Practically for roulette purposes, a factorial shows how many various ways, distinct items (or amounts ) can be arranged. Without repeats of amount or the same item. To give you an idea how huge this amount can become, for 37 numbers, such as in European roulette:
37! = 1.3763753??1043
This usually means that there are lots of trillions of trillions of different arrangements of the 37 roulette figures. Without counting the probable repetitions of numbers. Just how many distinct ways (strings ) all the roulette numbers can appear in 37 spins. You may read more about mathematical combinations here.