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rule of total probability

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  • Law of total probability — In probability theory, the law (or formula) of total probability is a fundamental rule relating marginal probabilities to conditional probabilities. Contents 1 Statement 2 Applications 3 Other names 4 See …   Wikipedia

  • probability theory — Math., Statistics. the theory of analyzing and making statements concerning the probability of the occurrence of uncertain events. Cf. probability (def. 4). [1830 40] * * * Branch of mathematics that deals with analysis of random events.… …   Universalium

  • Rule of succession — In probability theory, the rule of succession is a formula introduced in the 18th century by Pierre Simon Laplace in the course of treating the sunrise problem.The formula is still used, particularly to estimate underlying probabilities for… …   Wikipedia

  • probability — Likelihood; appearance of reality or truth; reasonable ground of presumption; verisimilitude; consonance to reason. The likelihood of a proposition or hypothesis being true, from its conformity to reason or experience, or from superior evidence… …   Black's law dictionary

  • List of probability topics — This is a list of probability topics, by Wikipedia page. It overlaps with the (alphabetical) list of statistical topics. There are also the list of probabilists and list of statisticians.General aspects*Probability *Randomness, Pseudorandomness,… …   Wikipedia

  • Conditional probability — The actual probability of an event A may in many circumstances differ from its original probability, because new information is available, in particular the information that an other event B has occurred. Intuition prescribes that the still… …   Wikipedia

  • Law of total cumulance — In probability theory and mathematical statistics, the law of total cumulance is a generalization to cumulants of the law of total probability, the law of total expectation, and the law of total variance. It has applications in the analysis of… …   Wikipedia

  • Law of total expectation — The proposition in probability theory known as the law of total expectation, the law of iterated expectations, the tower rule, the smoothing theorem, among other names, states that if X is an integrable random variable (i.e., a random variable… …   Wikipedia

  • Classical definition of probability — The classical definition of probability is identified[citation needed] with the works of Pierre Simon Laplace. As stated in his Théorie analytique des probabilités, The probability of an event is the ratio of the number of cases favorable to it,… …   Wikipedia

  • Selection rule — In physics and chemistry, especially in the context of quantum mechanics, a selection rule is a condition constraining the physical properties of the initial system and the final system that is necessary for a process to occur with a nonzero… …   Wikipedia

  • Tower rule — The tower rule may refer to one of two rules in mathematics:* Law of total expectation, in probability and stochastic theory * a rule governing the degree of a field extension of a field extension in field theory …   Wikipedia

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