# A report on Probability

Branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

- Probability38 related topics with Alpha

## Probability theory

6 linksProbability theory is the branch of mathematics concerned with probability.

## Blaise Pascal

4 linksFrench mathematician, physicist, inventor, philosopher, writer, and Catholic theologian.

French mathematician, physicist, inventor, philosopher, writer, and Catholic theologian.

In 1654, prompted by his friend the Chevalier de Méré, he corresponded with Pierre de Fermat on the subject of gambling problems, and from that collaboration was born the mathematical theory of probabilities.

## Artificial intelligence

2 linksIntelligence demonstrated by machines, as opposed to the natural intelligence displayed by animals including humans.

Intelligence demonstrated by machines, as opposed to the natural intelligence displayed by animals including humans.

To solve these problems, AI researchers have adapted and integrated a wide range of problem-solving techniques—including search and mathematical optimization, formal logic, artificial neural networks, and methods based on statistics, probability and economics.

## Frequentist probability

2 linksFrequentist probability or frequentism is an interpretation of probability; it defines an event's probability as the limit of its relative frequency in many trials (the long-run probability).

## Stochastic process

3 linksMathematical object usually defined as a family of random variables.

Mathematical object usually defined as a family of random variables.

The study of stochastic processes uses mathematical knowledge and techniques from probability, calculus, linear algebra, set theory, and topology as well as branches of mathematical analysis such as real analysis, measure theory, Fourier analysis, and functional analysis.

## Ars Conjectandi

2 linksArs Conjectandi (Latin for "The Art of Conjecturing") is a book on combinatorics and mathematical probability written by Jacob Bernoulli and published in 1713, eight years after his death, by his nephew, Niklaus Bernoulli.

## Pierre de Fermat

2 linksFrench mathematician who is given credit for early developments that led to infinitesimal calculus, including his technique of adequality.

French mathematician who is given credit for early developments that led to infinitesimal calculus, including his technique of adequality.

He made notable contributions to analytic geometry, probability, and optics.

## Bayesian probability

3 linksInterpretation of the concept of probability, in which, instead of frequency or propensity of some phenomenon, probability is interpreted as reasonable expectation representing a state of knowledge or as quantification of a personal belief.

Interpretation of the concept of probability, in which, instead of frequency or propensity of some phenomenon, probability is interpreted as reasonable expectation representing a state of knowledge or as quantification of a personal belief.

It is associated with probabilities implied by the odds not being coherent.

## Jacob Bernoulli

2 linksOne of the many prominent mathematicians in the Bernoulli family.

One of the many prominent mathematicians in the Bernoulli family.

He also discovered the fundamental mathematical constant e. However, his most important contribution was in the field of probability, where he derived the first version of the law of large numbers in his work Ars Conjectandi.

## Randomness

2 linksApparent or actual lack of pattern or predictability in events.

Apparent or actual lack of pattern or predictability in events.

Randomness applies to concepts of chance, probability, and information entropy.