### What does **probability theory** mean?

# Definitions for probability theory

prob·a·bil·i·ty the·o·ry

#### This dictionary definitions page includes all the possible meanings, example usage and translations of the word **probability theory**.

### Princeton's WordNet

probability theory, theory of probabilitynoun

the branch of applied mathematics that deals with probabilities

### Wiktionary

probability theorynoun

The mathematical study of probability (the likelihood of occurrence of random events in order to predict the behavior of defined systems).

### Wikipedia

Probability theory

Probability theory is the branch of mathematics concerned with probability. Although there are several different probability interpretations, probability theory treats the concept in a rigorous mathematical manner by expressing it through a set of axioms. Typically these axioms formalise probability in terms of a probability space, which assigns a measure taking values between 0 and 1, termed the probability measure, to a set of outcomes called the sample space. Any specified subset of the sample space is called an event. Central subjects in probability theory include discrete and continuous random variables, probability distributions, and stochastic processes (which provide mathematical abstractions of non-deterministic or uncertain processes or measured quantities that may either be single occurrences or evolve over time in a random fashion). Although it is not possible to perfectly predict random events, much can be said about their behavior. Two major results in probability theory describing such behaviour are the law of large numbers and the central limit theorem. As a mathematical foundation for statistics, probability theory is essential to many human activities that involve quantitative analysis of data. Methods of probability theory also apply to descriptions of complex systems given only partial knowledge of their state, as in statistical mechanics or sequential estimation. A great discovery of twentieth-century physics was the probabilistic nature of physical phenomena at atomic scales, described in quantum mechanics.

### ChatGPT

probability theory

Probability theory is a branch of mathematics that deals with the analysis of random phenomena and events. It involves calculating the likelihood of occurrence of various events or outcomes, measuring uncertainties, predicting the most probable outcomes, and making informed decisions based on these calculated probabilities. Its concepts and principles are applied in various fields such as statistics, finance, gambling, computer science, physics, and AI among others. Probability theory essentially quantifies uncertainty.

### Wikidata

Probability theory

Probability theory is the branch of mathematics concerned with probability, the analysis of random phenomena. The central objects of probability theory are random variables, stochastic processes, and events: mathematical abstractions of non-deterministic events or measured quantities that may either be single occurrences or evolve over time in an apparently random fashion. If an individual coin toss or the roll of dice is considered to be a random event, then if repeated many times the sequence of random events will exhibit certain patterns, which can be studied and predicted. Two representative mathematical results describing such patterns are the law of large numbers and the central limit theorem. As a mathematical foundation for statistics, probability theory is essential to many human activities that involve quantitative analysis of large sets of data. Methods of probability theory also apply to descriptions of complex systems given only partial knowledge of their state, as in statistical mechanics. A great discovery of twentieth century physics was the probabilistic nature of physical phenomena at atomic scales, described in quantum mechanics.

### U.S. National Library of Medicine

Probability Theory

The branch of mathematics dealing with the purely logical properties of probability. Its theorems underlie most statistical methods. (Last, A Dictionary of Epidemiology, 2d ed)

### Matched Categories

### Numerology

Chaldean Numerology

The numerical value of probability theory in Chaldean Numerology is:

**2**Pythagorean Numerology

The numerical value of probability theory in Pythagorean Numerology is:

**4**

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"probability theory." *Definitions.net.* STANDS4 LLC, 2024. Web. 24 Jul 2024. <https://www.definitions.net/definition/probability+theory>.

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