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Opposite of a probability event
{\displaystyle \neg } A or A. Given an event, the event and its complementary event define a Bernoulli trial: did the event occur or not? For example, if a typical
Complementary_event
In statistics and probability theory, set of outcomes to which a probability is assigned
that x ∈ S {\displaystyle x\in S} ). An event defines a complementary event, namely the complementary set (the event not occurring), and together these define
Event_(probability_theory)
Any experiment with two possible random outcomes
for any event (set of outcomes), one can define a Bernoulli trial according to whether the event occurred or not (event or complementary event). Examples
Bernoulli_trial
Number measuring the chance an event occurs
− 1/6 = 5/6. For a more comprehensive treatment, see Complementary event. If two events A and B occur on a single performance of an experiment, this
Probability
Probability of shared birthdays
JavaScript enabled. Consider the event A that a group of k people does not have any repeated birthdays, and let the complementary event B be that of a group of
Birthday_problem
Mathematical concept
process under consideration. An event space, F {\displaystyle {\mathcal {F}}} , which is a set of events, where an event is a subset of outcomes in the
Probability_space
Average value of a random variable
surely, when the probability measure attributes zero-mass to the complementary event { X < 0 } . {\displaystyle \left\{X<0\right\}.} Non-negativity: If
Expected_value
Probability distribution modeling a coin toss which need not be fair
Variance Markov chain Observed value Random walk Stochastic process Complementary event Joint probability Marginal probability Conditional probability Independence
Bernoulli_distribution
System in which no randomness is involved in determining its future states
Variance Markov chain Observed value Random walk Stochastic process Complementary event Joint probability Marginal probability Conditional probability Independence
Deterministic_system
Types of numerical variables in mathematics
Variance Markov chain Observed value Random walk Stochastic process Complementary event Joint probability Marginal probability Conditional probability Independence
Continuous or discrete variable
Continuous_or_discrete_variable
Concept in probability theory
total probability of an outcome which can be realized via several distinct events, hence the name. The law of total probability is a theorem that states,
Law_of_total_probability
Randomly determined process
helped diabetic and stroke patients with balance control. Many biochemical events lend themselves to stochastic analysis. Gene expression, for example, has
Stochastic
Foundations of probability theory
elementary events. The space of all events, each of which is some set of outcomes (i.e., some subset of Ω {\textstyle \Omega } ). The event space, F {\textstyle
Probability_axioms
Ongoing extinction event caused by human activity
2021). "Protecting half the planet and transforming human systems are complementary goals". Frontiers in Conservation Science. 2 761292. Bibcode:2021FrCS
Holocene_extinction
Random process independent of past history
a sequence of possible events in which the probability of each event depends only on the state attained in the previous event. A countably infinite sequence
Markov_chain
When the occurrence of one event does not affect the likelihood of another
probability theory, as in statistics and the theory of stochastic processes. Two events are independent, statistically independent, or stochastically independent
Independence (probability theory)
Independence_(probability_theory)
Event that contains only one outcome
In probability theory, an elementary event, also called an atomic event or sample point, is an event which contains only a single outcome in the sample
Elementary_event
Quantum physics concept
the theory. The complementarity principle holds that certain pairs of complementary properties cannot all be observed or measured simultaneously. For example
Complementarity_(physics)
Probability distribution
{Jeffreys} }={\frac {x+{\frac {1}{2}}}{n+1}}.} When estimating p with very rare events and a small n (for example, if x = 0), then using the standard estimator
Binomial_distribution
Probability of an event occurring, given that another event has already occurred
conditional probability is a measure of the probability of an event occurring, given that another event (by assumption, presumption, assertion, or evidence) is
Conditional_probability
Probability theory concept
where A ¯ {\displaystyle {\overline {A}}} is the complementary event of A {\displaystyle A} . Let event B {\displaystyle B} be the chance we choose a white
Chain_rule_(probability)
Procedure that can be infinitely repeated, with a well-defined set of outcomes
outcome results— although this outcome may be included in any number of events, all of which would be said to have occurred on that trial. After conducting
Experiment (probability theory)
Experiment_(probability_theory)
Branch of mathematics concerning probability
the sample space. Any specified subset of the sample space is called an event. Central subjects in probability theory include discrete and continuous
Probability_theory
Observed value of a random variable
measurable subsets, known here as events. Subsets of the sample space that contain only one element are called elementary events. In probability and statistics
Realization_(probability)
Inequality applying to probability spaces
set of events, the probability that at least one of the events happens is no greater than the sum of the probabilities of the individual events. Formally
Boole's_inequality
Mathematical function for the probability a given outcome occurs in an experiment
assigned to the possible results of a random phenomenon—more precisely, to events, which are sets of possible outcomes of a probabilistic experiment. Informally
Probability_distribution
Diagram that shows all possible logical relations between a collection of sets
Variance Markov chain Observed value Random walk Stochastic process Complementary event Joint probability Marginal probability Conditional probability Independence
Venn_diagram
Set of events whose union covers the entire sample space
set of events is jointly or collectively exhaustive if at least one of the events must occur. For example, when rolling a six-sided die, the events 1, 2
Collectively exhaustive events
Collectively_exhaustive_events
Apparent lack of pattern or predictability in events
sequence of events, symbols or steps often has no order and does not follow an intelligible pattern or combination. Individual random events are, by definition
Randomness
Process forming a path from many random steps
Variance Markov chain Observed value Random walk Stochastic process Complementary event Joint probability Marginal probability Conditional probability Independence
Random_walk
Diagram to represent a probability space in probability theory
the diagram represents an event and is associated with the probability of that event. The root node represents the certain event and therefore has probability
Tree diagram (probability theory)
Tree_diagram_(probability_theory)
Philosophical concept
Indeterminism is the idea that events (or certain events, or events of certain types) are not caused, or are not caused deterministically. It is the opposite
Indeterminism
Averages of repeated trials converge to the expected value
it guarantees stable long-term results for the averages of some random events. For example, while a casino may lose money in a single spin of the roulette
Law_of_large_numbers
Probability theory concept
will be late. However, if a third event is introduced, person A and person B live in the same neighborhood, the two events are now considered not conditionally
Conditional_independence
Statistics concept
Variance Markov chain Observed value Random walk Stochastic process Complementary event Joint probability Marginal probability Conditional probability Independence
Bayesian_programming
Type of probability distribution
{\displaystyle x} and y {\displaystyle y} . While the number of independent random events grows, the related joint probability value decreases rapidly to zero, according
Joint probability distribution
Joint_probability_distribution
Middle quantile of a data set or probability distribution
\operatorname {P} (X>m)\leq {\frac {1}{2}}} or, equivalently with the complementary events, P ( X ≥ m ) ≥ 1 2 and P ( X ≤ m ) ≥ 1 2 . {\displaystyle \operatorname
Median
Measure of total value one, generalizing probability distributions
mathematics, a probability measure is a real-valued function defined on a set of events in a σ-algebra that satisfies measure properties such as countable additivity
Probability_measure
French rally driver (born 1951)
then tackled the Tour de France Automobile. In the Île de Beauté, a complementary event to the Tour de Corse at the end of 1973, Mouton finished eighth overall
Michèle_Mouton
Latin phrase meaning "horrible year"
anni horribiles) is a Latin phrase that means "horrible year". It is complementary to annus mirabilis, which means "wonderful year". The phrase "annus
Annus_horribilis
Conditional probability used in Bayesian statistics
girl (i.e. a boy) regardless of any other information (B is the complementary event to G). This is 60%, or 0.6. P ( T | G ) {\displaystyle P(T|G)} ,
Posterior_probability
Set of all possible outcomes or results of a statistical trial or experiment
sample space is an event, denoted by E {\displaystyle E} . If the outcome of an experiment is included in E {\displaystyle E} , then event E {\displaystyle
Sample_space
Possible result of an experiment or trial
called "events." The collection of all such events is a sigma-algebra. An event containing exactly one outcome is called an elementary event. The event that
Outcome_(probability)
Stochastic process with discrete movements
Variance Markov chain Observed value Random walk Stochastic process Complementary event Joint probability Marginal probability Conditional probability Independence
Jump_process
Random process of binary (boolean) random variables
that the process is memoryless, in which past event frequencies have no influence on about future event probability frequencies. In most instances the
Bernoulli_process
Variable representing a random phenomenon
mathematical formalization of a quantity or object which depends on random events. The term 'random variable' in its mathematical definition refers to neither
Random_variable
distribution chi-squared test cluster analysis cluster sampling complementary event completely randomized design computational statistics The study of
Glossary of probability and statistics
Glossary_of_probability_and_statistics
Holidays following the 12th month of the French Republican Calendar
30-day months of the Republican Calendar with five complementary days in a common year or six complementary days in a leap year, so that the calendar year
Sansculottides
Self-complementary adeno-associated virus (scAAV) is a viral vector engineered from the naturally occurring adeno-associated virus (AAV) to be used as
Self-complementary adeno-associated virus
Self-complementary_adeno-associated_virus
Mount Hospital Western Community Hospital Wexham Park Hospital The Complementary & Integrated Medicine Research Unit is a research group based at Southampton
University of Southampton School of Medicine
University_of_Southampton_School_of_Medicine
Acts of the Parliaments of Great Britain and Ireland which united those two Kingdoms
parliamentary union between Britain and Ireland.[page range too broad] Complementary acts were enacted by the Parliament of Great Britain and the Parliament
Acts_of_Union_1800
Random variable with multiple component dimensions
sigma-algebra (the collection of all events), and P {\displaystyle P} is the probability measure (a function returning each event's probability). Every random vector
Multivariate_random_variable
Platforms for betting on events
of the complementary contracts, such as a "Yes" contract and its counterpart "No" contract, or all the mutually exclusive outcomes of an event, should
Prediction_market
system Probability axioms Normalizing constant Event (probability theory) Complementary event Elementary event Mutually exclusive Boole's inequality Probability
List_of_probability_topics
Type of imaging sensor
reconstruction can be achieved using temporal smoothing, e.g. high-pass or complementary filter. Alternative methods include optimization and gradient estimation
Event_camera
Free online crowdsourced encyclopedia
Wikipedia's launch, but with limited success. Wikipedia began as a complementary project for Nupedia, a free online English-language encyclopedia project
Wikipedia
Jewish harvest-related festival and holiday
differences and is deeper than the compassionate unity of joy or the complementary integration of the Four Kinds.[better source needed] According to 1
Sukkot
Two propositions or events that cannot both be true
In logic and probability theory, two events (or propositions) are mutually exclusive or disjoint if they cannot both occur at the same time. A clear example
Mutual_exclusivity
Concept in probability theory and statistics
real random variables, we also define a pseudo-covariance (also called complementary variance): The second order statistics are fully characterized by the
Complex_random_variable
Mathematics problem
than 50 is calculated with the formula for single events and the formula for complementary events thus given by 1 − 1 100 ! ( 100 ! 51 + … + 100 ! 100
100_prisoners_problem
Medical condition caused by receiving too little or too many nutrients
and malnutrition (as well as the environment) are interdependent and complementary with population growth. According to the World Health Organization,
Malnutrition
small polymerase ribozyme is described which can synthesize both its complementary strand and a copy of itself. This is interpreted as a substantial support
2026_in_science
Art and practice of creating images by recording light
produced by superimposing carbon prints of the three images made in their complementary colors, a subtractive method of color reproduction pioneered by Louis
Photography
Individual or company that promotes live entertainment events
come to the venue, the image promoter is provided with a VIP table and complementary alcohol. High end venues use the presence of models and celebrities
Promoter_(entertainment)
Facilities and systems serving society
infrastructure that we come across in our daily lives (buildings, roads, docks). Complementary infrastructure refers to things like light railways, tramways, and
Infrastructure
Overview of and topical guide to probability
compact set Dynkin system Probability axioms Event (probability theory) Complementary event Elementary event "Almost surely" Independence (probability theory)
Outline_of_probability
Branch of natural philosophy
Holmyard and Marie-Louise von Franz that they should be understood as complementary. The former is pursued by historians of the physical sciences, who examine
Alchemy
Variance Markov chain Observed value Random walk Stochastic process Complementary event Joint probability Marginal probability Conditional probability Independence
Complex_random_vector
Class of statistical models
computed using Gibbs sampling, while a logit model generally cannot.) The complementary log-log function may also be used: g ( p ) = log ( − log ( 1 − p
Generalized_linear_model
Emotional response caused by severe distressing events
Visualization of achieved relief state and relaxation methods. A number of complementary approaches to trauma treatment have been implicated as well, including
Psychological_trauma
Disease involving heart or blood vessels
medlineplus.gov. Retrieved 2026-05-19. "Cardiovascular Disease and Complementary Health Approaches". NCCIH. Retrieved 2026-05-19. Selvam PV, Sharma R
Cardiovascular_disease
Primary color
(made from magenta and yellow) in the CMYK color model, and is the complementary color of cyan. Reds range from the brilliant yellow-tinged scarlet and
Red
Molecule that carries genetic information
and C with G), with hydrogen bonds to make double-stranded DNA. The complementary nitrogenous bases are divided into two groups, the single-ringed pyrimidines
DNA
Weingarten function / rmt Bernoulli trial / (1:B) Complementary event / (1:B) Entropy / (1:BDC) Event / (1:B) Indecomposable distribution / (1:BDCR) Indicator
Catalog of articles in probability theory
Catalog_of_articles_in_probability_theory
the world of the series narratively. A feature film was created as a complementary, alternate ending to the original episodes 25 and 26 and released in
List of Neon Genesis Evangelion episodes
List_of_Neon_Genesis_Evangelion_episodes
Family of DNA sequences found in prokaryotic organisms
as a guide to recognize and open up specific strands of DNA that are complementary to the CRISPR sequence. Cas9 enzymes together with CRISPR sequences
CRISPR
Interpretation of sensory information
"Brightness Induction: Rate Enhancement and Neuronal Synchronization as Complementary Codes". Neuron. 52 (6): 1073–1083. doi:10.1016/j.neuron.2006.11.012
Perception
American TV host and government official (born 1960)
Presbyterian Hospital in New York in 1986, co-founding its Cardiac Complementary Care Center to provide various types of alternative medicine to heart
Mehmet_Oz
King of the United Kingdom since 2022
Charles's advocacy of complementary and alternative treatments. Charles's Duchy Originals produced a variety of complementary medicinal products, including
Charles_III
American-Canadian organization of conferences
Rosmari. "Technology, Entertainment and Design (TED): A case study on how complementary on- and off-line approaches can build community and cultivate platforms
TED_(conference)
Standard defining codes for currencies
where possible. Due to the volatility of global currencies - such as in the event of redenomination or country formation - the standard is actively maintained
ISO_4217
System of belief inspired by Allan Kardec
Heaven and Hell, and The Genesis. Additionally, there are the so-called complementary works, such as What is Spiritism?, Spiritist Review, and Posthumous
Kardecist_spiritism
Erotic practices involving domination and sadomasochism
typically characterized by the participants' taking on roles that are complementary and involve inequality of power; thus, the idea of informed consent
BDSM
Theory of social exchange
on expectation, which is shaped by prior experience, especially gripping events of the recent past." A person will have a high comparison level, if all
Interdependence_theory
Team field sport
championship game, the Super Bowl, ranks among the most-watched club sporting events globally. Other professional and amateur leagues exist worldwide, but the
American_football
American family entertainment center chain
company. Outgoing interim CEO Kevin Sheehan considered Main Event to be complementary to the main Dave & Buster's chain, citing that the two chains were positioned
Main_Event_Entertainment
Data that is findable, accessible, interoperable, and reusable
(GIDA) released the CARE Principles for Indigenous Data Governance as a complementary guide. The CARE principles extend the FAIR framework to include Collective
FAIR_data
Totality of psychological phenomena
abilities. According to Aristotle's hylomorphism, for example, they are complementary principles: the soul is the form of the body while the body is the matter
Mind
Mental disorder associated with trauma
traumas: commonly prolonged or repetitive exposure to a traumatic event or traumatic events, from which one sees little or no chance to escape. In the ICD-11
Complex post-traumatic stress disorder
Complex_post-traumatic_stress_disorder
Type of field-effect transistor
microprocessor. As MOSFETs can be made with either a p-type or n-type channel, complementary pairs of MOS transistors can be used to make switching circuits with
MOSFET
Island country in Southeast Asia
became the world's first congestion pricing scheme, and included other complementary measures such as stringent car ownership quotas and improvements in
Singapore
Therapies, medications, and devices
complicates the interpretation." The United States National Center for Complementary and Integrative Health advice is that "St. John's wort may help some
Management_of_depression
Egyptian war and sky deity
syncretic relationships are emphasized, not necessarily in opposition but complementary to one another, consistent with how the Ancient Egyptians viewed the
Horus
main event is amended by two days of accelerator sessions hosted by collaborating organisations. In addition to these, many complementary events are organised
World_Circular_Economy_Forum
Foundational principle in quantum physics
as position, x, and momentum, p. Such paired-variables are known as complementary variables or canonically conjugate variables. First introduced in 1927
Uncertainty_principle
Decentralized digital cryptocurrency
higher volatility and respond strongly to both regulatory changes and market events. The volume of bitcoin trading can fluctuate considerably among various
Bitcoin
models Comparison of statistical packages Comparisonwise error rate Complementary event Complete-linkage clustering Complete spatial randomness Completely
List_of_statistics_articles
2026 film by Steven Spielberg
Daniel were simultaneously abducted by extraterrestrials and given complementary powers; the extraterrestrials disguise themselves as harmless animals
Disclosure_Day
Study and process of exploring, creating, and delivering value to customers
good/service. However, if a product services a niche market, or is complementary to another product, it may continue the manufacture of the product,
Marketing
Process of determining what a company will receive in exchange for its products
Complementary pricing is an umbrella category of "captive-market" pricing tactics. It refers to a method in which one of two or more complementary products
Pricing
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