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  2. History of probability - Wikipedia

    en.wikipedia.org/wiki/History_of_probability

    The mathematical sense of the term is from 1718. In the 18th century, the term chance was also used in the mathematical sense of "probability" (and probability theory was called Doctrine of Chances). This word is ultimately from Latin cadentia, i.e. "a fall, case". The English adjective likely is of Germanic origin, most likely from Old Norse ...

  3. Probability - Wikipedia

    en.wikipedia.org/wiki/Probability

    Probability is the branch of mathematics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an event is to occur. [note 1] [1] [2] A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the ...

  4. Probability theory - Wikipedia

    en.wikipedia.org/wiki/Probability_theory

    Probability theory or probability calculus 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 ...

  5. Timeline of probability and statistics - Wikipedia

    en.wikipedia.org/wiki/Timeline_of_probability...

    1866 – John Venn 's Logic of Chance defends the frequency interpretation of probability. 1877–1883 – Charles Sanders Peirce outlines frequentist statistics, emphasizing the use of objective randomization in experiments and in sampling. Peirce also invented an optimally designed experiment for regression.

  6. Probability axioms - Wikipedia

    en.wikipedia.org/wiki/Probability_axioms

    Probability theory. The standard probability axioms are the foundations of probability theory introduced by Russian mathematician Andrey Kolmogorov in 1933. [1] These axioms remain central and have direct contributions to mathematics, the physical sciences, and real-world probability cases. [2]

  7. History of statistics - Wikipedia

    en.wikipedia.org/wiki/History_of_statistics

    History of statistics. Statistics, in the modern sense of the word, began evolving in the 18th century in response to the novel needs of industrializing sovereign states. In early times, the meaning was restricted to information about states, particularly demographics such as population. This was later extended to include all collections of ...

  8. Classical definition of probability - Wikipedia

    en.wikipedia.org/wiki/Classical_definition_of...

    The classical definition of probability assigns equal probabilities to events based on physical symmetry which is natural for coins, cards and dice. Some mathematicians object that the definition is circular. [11] The probability for a "fair" coin is... A "fair" coin is defined by a probability of... The definition is very limited.

  9. Bayesian probability - Wikipedia

    en.wikipedia.org/wiki/Bayesian_probability

    t. e. Bayesian probability (/ ˈbeɪziən / BAY-zee-ən or / ˈbeɪʒən / BAY-zhən) [1] is an interpretation of the concept of probability, in which, instead of frequency or propensity of some phenomenon, probability is interpreted as reasonable expectation [2] representing a state of knowledge [3] or as quantification of a personal belief.