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Number measuring the chance an event occurs
Probability concerns 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
Probability
Mathematical function for the probability a given outcome occurs in an experiment
In probability theory and statistics, a probability distribution describes how probabilities are assigned to the possible results of a random phenomenon—more
Probability_distribution
Branch of mathematics concerning probability
Probability theory or probability calculus is the branch of mathematics concerned with probability. Although there are several different probability interpretations
Probability_theory
Interpretation of probability
Bayesian probability (/ˈbeɪziən/ BAY-zee-ən or /ˈbeɪʒən/ BAY-zhən) is an interpretation of the concept of probability, in which, instead of frequency or
Bayesian_probability
Theory relating to sampling from finite populations
populations, the sampling probability (also known as inclusion probability) of an element or member of the population, is its probability of becoming part of
Sampling_probability
Description of continuous random distribution
In probability theory, a probability density function (PDF), density function, or simply density of an absolutely continuous random variable, is a function
Probability_density_function
Chances of card combinations in poker
the probability of each type of 5-card hand can be computed by calculating the proportion of hands of that type among all possible hands. Probability and
Poker_probability
Probability distribution
In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes
Binomial_distribution
Probability of an event occurring, given that another event has already occurred
In probability theory, conditional probability is a measure of the probability of an event occurring, given that another event (by assumption, presumption
Conditional_probability
Discrete probability distribution
In probability theory and statistics, the Poisson distribution (/ˈpwɑːsɒn/) is a discrete probability distribution that expresses the probability of a
Poisson_distribution
Index of articles associated with the same name
articles and lists: Probability Statistics Glossary of probability and statistics Notation in probability and statistics Timeline of probability and statistics
Probability_and_statistics
Random process independent of past history
In probability theory and statistics, a Markov chain or Markov process is a stochastic process describing a sequence of possible events in which the probability
Markov_chain
Topics referred to by the same term
Probability plot, a graphical technique for comparing two data sets, may refer to: P–P plot, "probability–probability" or "percent–percent" plot Q–Q plot
Probability_plot
Discrete-variable probability distribution
In probability and statistics, a probability mass function (sometimes called probability function or frequency function) is a function that gives the
Probability_mass_function
Conditional probability used in Bayesian statistics
The posterior probability is a type of conditional probability that results from updating the prior probability with information summarized by the likelihood
Posterior_probability
Concept in statistical estimation theory
In statistical estimation theory, the coverage probability, or coverage for short, is the probability that a confidence interval or confidence region will
Coverage_probability
Distribution of an uncertain quantity
A prior probability distribution (often simply called the prior probability, prior distribution, or prior) of an uncertain quantity is its assumed probability
Prior_probability
Concept in probability theory
In probability theory, the law (or formula) of total probability is a fundamental rule relating marginal probabilities to conditional probabilities. It
Law_of_total_probability
Topics referred to by the same term
up probability in Wiktionary, the free dictionary. Probability is the measure of an event's likelihood. Probability may also refer to: Probability theory
Probability_(disambiguation)
Foundations of probability theory
The standard probability axioms are the foundations of probability theory introduced by Russian mathematician Andrey Kolmogorov in 1933. Like all axiomatic
Probability_axioms
Collection of random variables
In probability theory and related fields a stochastic (/stəˈkæstɪk/) or random process is a mathematical object usually defined as a family of random
Stochastic_process
Mathematical concept
In probability theory, a probability space or a probability triple ( Ω , F , P ) {\displaystyle (\Omega ,{\mathcal {F}},P)} is a mathematical construct
Probability_space
Model in probability theory
In probability theory, a martingale is a stochastic process in which the expected value of the next observation, given all prior observations, is equal
Martingale (probability theory)
Martingale_(probability_theory)
Concept in science
The probability of the outcome of an experiment is never negative, although a quasiprobability distribution allows a negative probability, or quasiprobability
Negative_probability
Decision strategy
Probability matching is a decision strategy in which predictions of class membership are proportional to the class base rates. Thus, if in the training
Probability_matching
Notions of probabilistic convergence, applied to estimation and asymptotic analysis
In probability theory, there exist several different notions of convergence of sequences of random variables, including convergence in probability, convergence
Convergence of random variables
Convergence_of_random_variables
Value for the flow of probability in quantum mechanics
mechanics, the probability current (sometimes called probability flux) is a mathematical quantity describing the flow of probability. Specifically, if
Probability_current
Interpretation of probability
Frequentist probability or frequentism is an interpretation of probability; it defines an event's probability (the long-run probability) as the limit
Frequentist_probability
Win probability is a statistical tool which suggests a sports team's chances of winning at any given point in a game, based on the performance of historical
Win_probability
theory of probability and measure, a sub-probability measure is a measure that is closely related to probability measures. While probability measures always
Sub-probability_measure
Probability that random variable X is less than or equal to x
In probability theory and statistics, the cumulative distribution function (CDF) of a real-valued random variable X {\displaystyle X} , or just distribution
Cumulative distribution function
Cumulative_distribution_function
Observed value of a random variable
In probability and statistics, a realization or observation (also called observed value) of a random variable or random element is the value that is actually
Realization_(probability)
When the occurrence of one event does not affect the likelihood of another
Independence is a fundamental notion in probability theory, as in statistics and the theory of stochastic processes. Two events are independent, statistically
Independence (probability theory)
Independence_(probability_theory)
Philosophical interpretation of the axioms of probability
word "probability" has been used in a variety of ways since it was first applied to the mathematical study of games of chance. Does probability measure
Probability_interpretations
Probability distribution
In probability theory and statistics, the beta distribution is a family of continuous probability distributions defined on the interval [0, 1] or (0, 1)
Beta_distribution
Probability distribution
In probability theory and statistics, the exponential distribution or negative exponential distribution is the probability distribution of the distance
Exponential_distribution
Estimated likelihood of precipitation occurring within a specified forecast region
Probability of precipitation (PoP) is a commonly used term referring to the likelihood of precipitation falling in a particular area over a defined period
Probability_of_precipitation
Model of information available at a given point of a random process
In the theory of stochastic processes, a subdiscipline of probability theory, filtrations are totally ordered collections of subsets that are used to
Filtration (probability theory)
Filtration_(probability_theory)
Type of probability distribution
on the same probability space, the multivariate or joint probability distribution for X , Y , … {\displaystyle X,Y,\ldots } is a probability distribution
Joint probability distribution
Joint_probability_distribution
Description of limiting behavior in probabilistic algorithms
mathematics, an event that occurs with high probability (often shortened to w.h.p. or WHP) is one whose probability depends on a certain number n and goes
With_high_probability
Mathematical rule for inverting probabilities
conditional probabilities, allowing the probability of a cause to be found given its effect. For example, with Bayes' theorem, the probability that a patient
Bayes'_theorem
Measure of total value one, generalizing probability distributions
In 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
Probability_measure
Selection of data points in statistics
the sample design, particularly in stratified sampling. Results from probability theory and statistical theory are employed to guide the practice. In
Sampling_(statistics)
Topics referred to by the same term
Probability function may refer to: Probability distribution Probability axioms, which define a probability function Probability measure, a real-valued
Probability_function
Fourier transform of the probability density function
In probability theory and statistics, the characteristic function of any real-valued random variable completely defines its probability distribution. If
Characteristic function (probability theory)
Characteristic_function_(probability_theory)
Universality probability is an abstruse probability measure in computational complexity theory that concerns universal Turing machines. A Turing machine
Universality_probability
Ratio of the probability of an event happening versus not happening
odds in Wiktionary, the free dictionary. In probability theory, odds provide a measure of the probability of a particular outcome. Odds are commonly used
Odds
In probability theory, a stochastic process is said to be continuous in probability or stochastically continuous if its distributions converge whenever
Continuity_in_probability
Complex number whose squared absolute value is a probability
In quantum mechanics, a probability amplitude is a complex number used for describing the behaviour of systems. The square modulus of this quantity at
Probability_amplitude
Statistical technique
Inverse probability weighting is a statistical technique for estimating quantities related to a population other than the one from which the data was
Inverse_probability_weighting
Average uncertainty in variable's states
describe the state of the variable, considering the distribution of probabilities across all potential states. Given a discrete random variable X {\displaystyle
Entropy_(information_theory)
Topics referred to by the same term
Probability distribution function may refer to: Probability distribution, a function that gives the probabilities of occurrence of possible outcomes for
Probability distribution function
Probability_distribution_function
Probability distribution
In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued
Normal_distribution
Mathematical concept
in the 17th century, and the general topic became known as geometric probability. Buffon's needle problem: What is the chance that a needle dropped randomly
Geometric_probability
Logarithm of probabilities, useful for calculations
In probability theory and computer science, a log probability is simply a logarithm of a probability. The use of log probabilities means representing
Log_probability
Process forming a path from many random steps
{Z} } which starts at 0, and at each step moves +1 or −1 with equal probability. Other examples include the path traced by a molecule as it travels in
Random_walk
Vector with non-negative entries that add up to one
statistics, a probability vector or stochastic vector is a vector with non-negative entries that add up to one. Underlying every probability vector is an
Probability_vector
Study of collection and analysis of data
probability, meanwhile statistics induces statements about a population based on a data set. Statistics serves to bridge the gap between probability and
Statistics
Method of statistical inference
closely related to subjective probability, often called "Bayesian probability". Bayesian inference derives the posterior probability as a consequence of two
Bayesian_inference
Statistics model
In statistics, a linear probability model (LPM) is a special case of a binary regression model. Here the dependent variable for each observation takes
Linear_probability_model
Power series derived from a discrete probability distribution
In probability theory, the probability generating function of a discrete random variable is a power series representation (the generating function) of
Probability generating function
Probability_generating_function
Concept in information theory
discrete probability distribution. The perplexity of a fair coin toss is 2, and that of a fair die roll is 6; and generally, for a probability distribution
Perplexity
Diagram to represent a probability space in probability theory
In probability theory, a tree diagram may be used to represent a probability space. A tree diagram may represent a series of independent events (such
Tree diagram (probability theory)
Tree_diagram_(probability_theory)
Probability estimate
In probability theory and statistics, the empirical probability or experimental probability of an event is an estimate of the probability of the event
Empirical_probability
The probability of success (POS) is a statistics concept commonly used in the pharmaceutical industry including by health authorities to support decision
Probability_of_success
Video game terminology
target will result in a satisfactory outcome (i.e. "kill"), known as the probability of kill. Performance auditing and statistical decisions are required
Probability_of_kill
In probability theory particularly in the Malliavin calculus, a Gaussian probability space is a probability space together with a Hilbert space of mean
Gaussian_probability_space
Probability of shared birthdays
In probability theory, the birthday problem asks for the probability that, in a set of n randomly chosen people, at least two will share the same birthday
Birthday_problem
Mathematical index used in Bayesian statistics
larger of two posterior probabilities: the probability of the parameter ( θ {\displaystyle \theta } ) being negative and the probability of the parameter being
Probability_of_direction
Counterintuitive result in probability
generalized to state that any infinite sequence of independent events whose probabilities are uniformly bounded below by a positive number will almost surely
Infinite_monkey_theorem
Probability saying
In probability theory, an event is said to happen almost surely (sometimes abbreviated as a.s.) if it happens with probability 1 (with respect to the
Almost_surely
Mathematical theory on random variables
Free probability is a mathematical theory that studies non-commutative random variables. The "freeness" or free independence property is the analogue
Free_probability
Description of physical properties at the atomic and subatomic scale
gives probabilities. Mathematically, a probability is found by taking the square of the absolute value of a complex number, known as a probability amplitude
Quantum_mechanics
Statistical model for a binary dependent variable
widely used in statistics to model the probability of a certain class or event taking place, such as the probability of a team winning, of a patient being
Logistic_regression
Field of knowledge
abstract concepts such as numbers, geometric shapes, sets, functions, and probabilities. It uses logical reasoning and proof to study and establish their properties
Mathematics
Notion of convergence of random variables
Uniform convergence in probability is a form of convergence in probability in statistical asymptotic theory and probability theory. It means that, under
Uniform convergence in probability
Uniform_convergence_in_probability
Notion in intelligent design
A universal probability bound is a probabilistic threshold whose existence is asserted by William A. Dembski and is used by him in his works promoting
Universal_probability_bound
Probability theory concept
In probability theory, the chain rule (also called the general product rule) describes how to calculate the probability of the intersection of, not necessarily
Chain_rule_(probability)
Function related to statistics and probability theory
calculating the probability of seeing that data under different parameter values of the model. It is constructed from the joint probability distribution
Likelihood_function
Probabilities of the presence of a condition
Pre-test probability and post-test probability (alternatively spelled pretest and posttest probability) are the probabilities of the presence of a condition
Pre- and post-test probability
Pre-_and_post-test_probability
2.71828…, base of natural logarithms
interest, R = 5/100 = 0.05. The number e itself also has applications in probability theory, in a way that is not obviously related to exponential growth
E_(mathematical_constant)
Probability has a dual aspect: on the one hand the likelihood of hypotheses given the evidence for them, and on the other hand the behavior of stochastic
History_of_probability
Probability theory paradox
Bertrand paradox is a problem within the classical interpretation of probability theory. Joseph Bertrand introduced it in his work Calcul des probabilités
Bertrand paradox (probability)
Bertrand_paradox_(probability)
Mathematical method of risk analysis
Probability bounds analysis (PBA) is a collection of methods of uncertainty propagation for making qualitative and quantitative calculations in the face
Probability_bounds_analysis
In statistics and probability theory, set of outcomes to which a probability is assigned
In probability theory, an event is a subset of outcomes of an experiment (a subset of the sample space) to which a probability is assigned. A single outcome
Event_(probability_theory)
Radar technology that hides its activity from a detected target
A low-probability-of-intercept radar (LPIR) is a radar employing measures to avoid detection by passive radar detection equipment (such as a radar warning
Low-probability-of-intercept radar
Low-probability-of-intercept_radar
Probability distribution modeling a coin toss which need not be fair
In probability theory and statistics, the Bernoulli distribution, named after Swiss mathematician Jacob Bernoulli, is the discrete probability distribution
Bernoulli_distribution
Aspect of probability and statistics
In probability theory and statistics, the marginal distribution of a subset of a collection of random variables is the probability distribution of the
Marginal_distribution
Type of formal fallacy
An appeal to probability (or appeal to possibility, also known as possibiliter ergo probabiliter, "possibly, therefore probably") is the logical fallacy
Appeal_to_probability
American film by Vanessa Caswill
written by Katie Lovejoy, based upon the 2011 novel The Statistical Probability of Love at First Sight by Jennifer E. Smith. It stars Haley Lu Richardson
Love at First Sight (2023 film)
Love_at_First_Sight_(2023_film)
takes value 1 with probability p and value 0 with probability q = 1 − p. The Rademacher distribution, which takes value 1 with probability 1/2 and value −1
List of probability distributions
List_of_probability_distributions
Type of cognitive bias
The neglect of probability, a type of cognitive bias, is the tendency to disregard probability when making a decision under uncertainty and is one simple
Neglect_of_probability
statistics, a c+-probability is the probability that a contrast variable obtains a positive value. Using a replication probability, the c+-probability is defined
C+-probability
Concept in statistics
probability and statistics, a compound probability distribution (also known as a mixture distribution or contagious distribution) is the probability distribution
Compound probability distribution
Compound_probability_distribution
Function of the observed sample results
In null-hypothesis significance testing, the p-value is the probability of obtaining test results at least as extreme as the result actually observed
P-value
Probability distribution
probability theory and statistics, Student's t distribution (or simply the t distribution) t ν {\displaystyle t_{\nu }} is a continuous probability distribution
Student's_t-distribution
Interpretation of probability
The propensity theory of probability is a probability interpretation in which the probability is thought of as a physical propensity, disposition, or tendency
Propensity_probability
Mathematical method of assigning a prior probability to a given observation
theory, algorithmic probability, also known as Solomonoff probability, is a mathematical method of assigning a prior probability to a given observation
Algorithmic_probability
Calculation rule in quantum mechanics
the probability that a measurement of a quantum system will yield a given result. In one commonly used application, it states that the probability density
Born_rule
Graphical technique in statistics
The normal probability plot is a graphical technique to identify substantive departures from normality. This includes identifying outliers, skewness,
Normal_probability_plot
PROBABILITY
PROBABILITY
Surname or Lastname
English (Yorkshire)
English (Yorkshire) : in all probability from the Swale river in Yorkshire. (Reaney and Wilson list a 17th-century example, Swayles, with this origin.) Alternatively, it may be a metronymic from the Old Norse female personal name Svala.
Surname or Lastname
English
English : in all probability an English variant of Scottish Lachlan (see McLachlan), altered through folk etymology. However, Black cites one John sine terra (c. 1180–1214), suggesting that the surname could have arisen quite literally as a nickname for a man with no land.
PROBABILITY
PROBABILITY
Boy/Male
Hindu, Indian, Marathi
Highest; The Best
Boy/Male
English
Follower of Christ. Chris is used as a diminutive of many masculine and feminine names beginning...
Boy/Male
Muslim/Islamic
Concerning monarchy
Male
Italian
Italian form of Hebrew Rephael, RAFFAELLO means "healed of God" or "whom God has healed."
Girl/Female
Arabic, Australian, French, Lebanese
Smiling
Boy/Male
Indian, Punjabi, Sikh
Enjoying the Bliss of Soul
Boy/Male
Indian, Punjabi, Sikh
Embodiment of Victory
Girl/Female
Arabic
Truthful; Honest
Boy/Male
Tamil
Eye
Girl/Female
Norse
Odin's magic ring.
PROBABILITY
PROBABILITY
PROBABILITY
PROBABILITY
PROBABILITY
n.
Likelihood of the occurrence of any event in the doctrine of chances, or the ratio of the number of favorable chances to the whole number of chances, favorable and unfavorable. See 1st Chance, n., 5.
n.
The quality or state of being verisimilar; the appearance of truth; probability; likelihood.
n.
Ground for presuming; evidence probable, but not conclusive; strong probability; reasonable supposition; as, the presumption is that an event has taken place.
a.
Having probability; having or giving reason to expect; -- followed by the infinitive; as, it is likely to rain.
n.
One who maintains that a man may do that which has a probability of being right, or which is inculcated by teachers of authority, although other opinions may seem to him still more probable.
v. t.
To take or suppose to be true, or entitled to belief, without examination or proof, or on the strength of probability; to take for granted; to infer; to suppose.
n.
That which is or appears probable; anything that has the appearance of reality or truth.
a.
Difference in favor of one and against another; excess of one of two things or numbers over the other; inequality; advantage; superiority; hence, excess of chances; probability.
adv.
In a manner calculated to serve as the basis of action; according to the usual course of things and human judgment; according to reason and probability.
adv.
By presumption, or supposition grounded or probability; presumably.
n.
Probability.
pl.
of Probability
n.
One who maintains that certainty is impossible, and that probability alone is to govern our faith and actions.
adv.
In all probability; probably.
a.
Supported by reason or probability; practically sufficient; -- opposed to legal or demonstrable; as, a moral evidence; a moral certainty.
superl.
Having probability; affording probability; probable; likely.
n.
Appearance of truth or reality; probability; verisimilitude.
n.
Likelihood; probability.
n.
The quality or state of being probable; appearance of reality or truth; reasonable ground of presumption; likelihood.
a.
Based on presumption or probability; grounded on probable evidence; probable; as, presumptive proof.