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391:(or informally, "groups") of outcomes. For comparison, we could define an event to occur when "at least one 'heads'" is flipped in the experiment - that is, when the outcome contains at least one 'heads'. This event would contain all outcomes in the sample space except the element (T, T).
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Some treatments of probability assume that the various outcomes of an experiment are always defined so as to be equally likely. However, there are experiments that are not easily described by a set of equally likely outcomes— for example, if one were to toss a
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Some "mixed" distributions contain both stretches of continuous outcomes and some discrete outcomes; the discrete outcomes in such distributions can be called
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Since individual outcomes may be of little practical interest, or because there may be prohibitively (even infinitely) many of them, outcomes are grouped into
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many times and observe whether it landed with its point upward or downward, there is no symmetry to suggest that the two outcomes should be equally likely.
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are (H, T), (T, H), (T, T) and (H, H), where "H" represents a "heads", and "T" represents a "tails". Outcomes should not be confused with
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distribution, individual outcomes all have zero probability, and non-zero probabilities can only be assigned to ranges of outcomes.
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of the sample space are defined as events). However, this approach does not work well in cases where the sample space is
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Typically, when the sample space is finite, any subset of the sample space is an event (that is, all elements of the
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or trial. Each possible outcome of a particular experiment is unique, and different outcomes are
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Outcomes may occur with probabilities that are between zero and one (inclusively). In a
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Algebra and
Trigonometry: Functions and Applications, Teacher's Edition
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Probability, Statistics and Random
Processes for Electrical Engineering
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For the experiment where we flip a coin twice, the four possible
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of outcomes that satisfy some condition, which are called "
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An event containing exactly one outcome is called an
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669:. Bowling Green State University. Archived from
752:(2nd ed.). New York: Springer. p. 9.
537:Up or down? Flipping a brass tack leads to two
779:(Classics ed.). Upper Saddle River, NJ:
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439:(most notably when the outcome must be some
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644:"Outcome - Probability - Math Dictionary"
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16:Possible result of an experiment or trial
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474:and can have non-zero probabilities.
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581:or shaved dice, and other methods).
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749:Foundations of Modern Probability
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834:Experiment (probability theory)
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529:that are almost equally likely.
459:probability distribution whose
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104:Collectively exhaustive events
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692:Leon-Garcia, Alberto (2008).
525:Flipping a coin leads to two
509:and not necessarily the full
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358:is a possible result of an
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719:Pfeiffer, Paul E. (1978).
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623:Realization (probability)
451:Probability of an outcome
611:Probability distribution
395:Sets of outcomes: events
274:Law of total probability
269:Conditional independence
158:Exponential distribution
143:Probability distribution
517:Equally likely outcomes
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820:at Wikimedia Commons
646:. HighPointsLearning
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437:uncountably infinite
343:For other uses, see
279:Law of large numbers
248:Marginal probability
173:Poisson distribution
22:Part of a series on
238:Complementary event
180:Probability measure
168:Pareto distribution
163:Normal distribution
673:on 16 October 2000
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352:probability theory
289:Boole's inequality
225:Stochastic process
114:Mutual exclusivity
31:Probability theory
816:Media related to
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617:Probability space
502:{\displaystyle S}
483:probability space
479:measure-theoretic
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377:that make up our
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220:Random walk
61:Determinism
49:Probability
783:. p.
630:References
587:thumb tack
477:Under the
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360:experiment
131:Experiment
78:Randomness
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511:power set
487:σ-algebra
433:power set
124:Singleton
828:Category
677:June 25,
593:See also
545:In some
539:outcomes
527:outcomes
457:discrete
375:outcomes
205:Variance
650:25 June
356:outcome
345:Outcome
119:Outcome
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579:loaded
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54:Axioms
567:cards
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789:ISBN
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Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
