valószínségszámításnak

Valószínűségszámítás (probability theory) is a branch of mathematics concerned with the analysis of random phenomena. It quantifies the likelihood of events occurring and provides a framework for understanding uncertainty. The fundamental concept is probability, which is a numerical measure of the chance that a specific event will happen. Probabilities range from 0 (an impossible event) to 1 (a certain event).

The field deals with random experiments, which are processes whose outcomes cannot be predicted with certainty. The set of all possible outcomes of an experiment is called the sample space. An event is any subset of the sample space. Key concepts include conditional probability, which measures the probability of an event given that another event has already occurred, and independence, where the occurrence of one event does not affect the probability of another.

Valószínűségszámítás uses mathematical tools like random variables, probability distributions, and statistical inference to model and analyze real-world phenomena. It finds applications in diverse fields such as physics, engineering, economics, genetics, and computer science, forming the basis for statistical analysis and decision-making under uncertainty.