About: Event (probability theory)

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In probability theory, an event is a set of outcomes of an experiment (a subset of the sample space) to which a probability is assigned. A single outcome may be an element of many different events, and different events in an experiment are usually not equally likely, since they may include very different groups of outcomes. An event consisting of only a single outcome is called an elementary event or an atomic event; that is, it is a singleton set. An event is said to occur if contains the outcome of the experiment (or trial) (that is, if ). The probability (with respect to some probability measure) that an event occurs is the probability that contains the outcome of an experiment (that is, it is the probability that ). An event defines a complementary event, namely the complementary

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rdfs:label	Event (probability theory) (en)
rdfs:comment	In probability theory, an event is a set of outcomes of an experiment (a subset of the sample space) to which a probability is assigned. A single outcome may be an element of many different events, and different events in an experiment are usually not equally likely, since they may include very different groups of outcomes. An event consisting of only a single outcome is called an elementary event or an atomic event; that is, it is a singleton set. An event is said to occur if contains the outcome of the experiment (or trial) (that is, if ). The probability (with respect to some probability measure) that an event occurs is the probability that contains the outcome of an experiment (that is, it is the probability that ). An event defines a complementary event, namely the complementary (en)
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Subject	Experiment (probability theory)
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Link from a Wikipage to another Wikipage	Non-measurable set Normal distribution Probability Probability distribution Probability measure Probability space Probability theory Uncountable set Bernoulli trial Borel measure Σ-algebra Experiment (probability theory) Power set Set (mathematics) Card deck Sample space Complementary event Conditional probability Outcome (probability) Elementary event Empty set Image (mathematics) Mizar system Experiment (probability theory) Joint probability distribution Map (mathematics) Venn diagram Subset Pathological (mathematics) Lebesgue measure Measure (mathematics) Random variable Real number Singleton (mathematics)
has abstract	In probability theory, an event is a set of outcomes of an experiment (a subset of the sample space) to which a probability is assigned. A single outcome may be an element of many different events, and different events in an experiment are usually not equally likely, since they may include very different groups of outcomes. An event consisting of only a single outcome is called an elementary event or an atomic event; that is, it is a singleton set. An event is said to occur if contains the outcome of the experiment (or trial) (that is, if ). The probability (with respect to some probability measure) that an event occurs is the probability that contains the outcome of an experiment (that is, it is the probability that ). An event defines a complementary event, namely the complementary set (the event not occurring), and together these define a Bernoulli trial: did the event occur or not? Typically, when the sample space is finite, any subset of the sample space is an event (that is, all elements of the power set of the sample space are defined as events). However, this approach does not work well in cases where the sample space is uncountably infinite. So, when defining a probability space it is possible, and often necessary, to exclude certain subsets of the sample space from being events (see , below). (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Event_(probability_theory)
is Wikipage redirect of	Probability/Event Stochastic event Event (probability) Event (statistics) Event probability Random event
is Link from a Wikipage to another Wikipage of	List of statistics articles Log probability 100 prisoners problem A priori probability Additive smoothing Almost everywhere Almost surely Areas of mathematics Bayes' theorem Bayesian statistics Bernoulli trial Birthday problem Boole's inequality Borel–Cantelli lemma Borel–Kolmogorov paradox Buffon's noodle Catalog of articles in probability theory Beauty Behind the Madness Gerolamo Cardano Glossary of areas of mathematics Glossary of engineering: M–Z Glossary of probability and statistics Doob decomposition theorem Kullback–Leibler divergence Mutual knowledge (logic) Odds Chain rule (probability) Classification rule Cyclical theory (United States history) Degenerate distribution Hypercycle (chemistry) List of probability topics Coincidence Collectively exhaustive events Complementary event Conditional dependence

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