We talk about probability when one is not certain of the result of a calculation, event or experiment. This is a theory that you use in life every day without even knowing it. Probability in itself is not difficult, provided you master its fundamentals and reasoning which are behind each event. If you can understand its fundamentals, you will manage to make it your own, and assimilate easily. In this article, Franck Peltier will help you discover the foundations that will enable you to better understand this discipline called probability!
What are the foundations for probability?
First, probability can be defined as the ratio of the number of outcomes in a given event, over the total number of possible outcomes.
You cannot measure it, but you can analyze a specific case, to determine the number of times you can get the same result.
Take the example of a game where the possible events have the same probability of occurring: the dice game with six faces! The number of times even numbers occur is 3/6 or ½, same as the probability of having odd numbers.
In this case, we speak of equal probability, because chances are equal or 0.5 for the occurrence of each event. Otherwise, we talk about unequal probability.
You should also know that for every random experiment, all the possible outcomes are contained in a universal set called the sample space.
This is the set of all probable and possible outcomes that can result from a random experiment. It is denoted by “Ω”.
The odds of a given event depend on random occurrences and thus on chance. The ability to predict how many times a given can occur is the main foundation of this discipline! Let’s thank Franck Peltier for giuding us through this.