# How to Calculate Roulette Probabilities (Mathematics)

21/11/2019

Despite all of the talk about probabilities and figures, it seems that few people can actually calculate mathematically the opportunity of any roulette outcome. Sometimes they resort to excel or utilize specialized applications, trying to test millions of spins in order to come up with the right 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 just put the equation for a formulation in a simple excel document.
First we have to understand what’s the the factorial function, which has the emblem:!
This means to multiply a string of descending natural numbers.
Examples:
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 different ways, different items (or numbers) could be arranged. Without repetitions of the same item or amount. To give you an idea how enormous this amount can become, for 37 numbers, like in Western roulette:
37! = 1.3763753??1043
This means that there are lots of trillions of trillions of distinct arrangements of their 37 roulette numbers. Without counting the possible repetitions of amounts. Just in how many different ways (strings ) each of the roulette numbers can appear in 37 spins. You may read more about mathematical combinations here.