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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
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
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
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
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
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
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
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)
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
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
Probability distribution
probability theory and statistics, the triangular distribution is a continuous probability distribution with lower limit a, upper limit b, and mode c
Triangular_distribution
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
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
Mathematical theory on random variables
established. Free probability is currently undergoing active research. Typically the random variables lie in a unital algebra A such as a C*-algebra or a
Free_probability
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
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
1968 novel by Brian Aldiss
Report on Probability A is a science fiction novel by British writer Brian Aldiss. The novel was completed in 1962 and published in 1967 in the British
Report_on_Probability_A
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
Average value of a random variable
In probability theory, the expected value (also called expectation, mean, or first moment) is a generalization of the weighted average. The expected value
Expected_value
Concept in probability theory
In probability theory, the total variation distance is a statistical distance between probability distributions, and is sometimes called the statistical
Total variation distance of probability measures
Total_variation_distance_of_probability_measures
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
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
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
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
mean plausible or generally approved. The form probability is derived from the Old French probabilite (14 c.) and directly from the Latin probabilitatem
History_of_probability
Probability theory concept
and C {\displaystyle C} . Since the probability of A {\displaystyle A} given C {\displaystyle C} is the same as the probability of A {\displaystyle A}
Conditional_independence
Concept in probability
A probability box (or p-box) is a characterization of an uncertain number consisting of both aleatoric and epistemic uncertainties that is often used
Probability_box
Probability theory for low quality data
Imprecise probability generalizes probability theory to allow for partial probability specifications, and is applicable when information is scarce, vague
Imprecise_probability
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
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
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
Averages of repeated trials converge to the expected value
In probability theory, the law of large numbers is a mathematical law which states that the average of the results obtained from a large number of independent
Law_of_large_numbers
Probability theory term
is formalized in probability theory by conditioning. Conditional probabilities, conditional expectations, and conditional probability distributions are
Conditioning_(probability)
Representations of imprecise probability
Upper and lower probabilities are representations of imprecise probability. Whereas probability theory uses a single number, the probability, to describe
Upper_and_lower_probabilities
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
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
contents. Probability theory Random variable Continuous probability distribution / (1:C) Cumulative distribution function / (1:DCR) Discrete probability distribution /
Catalog of articles in probability theory
Catalog_of_articles_in_probability_theory
Paradox in probability theory
The boy or girl paradox surrounds a set of questions in probability theory, which are also known as the two children problem, Mr. Smith's children and
Boy_or_girl_paradox
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
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
Method of statistical inference
probability of each event reads P ( E = G D ∣ C = c ) = p G ( c ) p D ( c ) {\displaystyle P(E=GD\mid C=c)=p_{G}(c)\,p_{D}(c)} P ( E = G D ¯ ∣ C = c )
Bayesian_inference
British statistician (c. 1701 – 1761)
only published posthumously. Bayesian probability is the name given to several related interpretations of probability as an amount of epistemic confidence
Thomas_Bayes
Quantum field theory of electromagnetism
quantities called probability amplitudes. The probability is the square of the absolute value of total probability amplitude, probability = | f ( amplitude
Quantum_electrodynamics
Mathematical problem
believes that his probability of surviving has gone up from 1/3 to 1/2, as it is now between him and C. Prisoner A secretly tells C the news, who reasons
Three_prisoners_problem
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
Range to estimate an unknown parameter
confidence level, typically 95%. A 95% confidence level does not imply a 95% probability that the true parameter lies within a particular calculated interval
Confidence_interval
Technique to compress data
codes for a given probability distribution is a non-empty subset of the codes minimizing L ( C ) {\displaystyle L(C)} for that probability distribution. (However
Huffman_coding
Performance metric in football and hockey
association football that assigns a probability that each shot will result in a goal. By summing these probabilities, xG is used to estimate how many goals
Expected_goals
Smooth approximation of one-hot arg max
normalized exponential function, converts a tuple of K real numbers into a probability distribution over K possible outcomes. It is a generalization of the
Softmax_function
Mathematical problem involving optimal stopping theory
stopping theory that is studied extensively in the fields of applied probability, statistics, and decision theory. It is also known as the marriage problem
Secretary_problem
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
Mathematical paradox
Bertrand's box paradox is a veridical paradox in elementary probability theory. It was first posed by Joseph Bertrand in his 1889 work Calcul des Probabilités
Bertrand's_box_paradox
statistics and probability is a list of definitions of terms and concepts used in the mathematical sciences of statistics and probability, their sub-disciplines
Glossary of probability and statistics
Glossary_of_probability_and_statistics
Concept in probability theory
B} are two events that individually increase the probability of a third event C , {\displaystyle C,} and do not directly affect each other, then initially
Conditional_dependence
Measure for evaluating probabilistic forecasts
the cumulative probability function F {\displaystyle F} is continuous, the continuous ranked probability score can also be written as C R P S ( F , y )
Scoring_rule
Determining the probability of future events based on past events
Inductive probability attempts to give the probability of future events based on past events. It is the basis for inductive reasoning, and gives the mathematical
Inductive_probability
The sticking probability is the probability that molecules are trapped on surfaces and adsorb chemically. From Langmuir's adsorption isotherm, molecules
Sticking_probability
Hypothesis in epistemological philosophy
probabilism is a hypothesis in philosophy, in particular epistemology, and probability theory that holds that no facts are known for certain. That view holds
Radical_probabilism
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
In Information theory, outage probability of a communication channel is the probability that a given information rate is not supported, because of variable
Outage_probability
Variable representing a random phenomenon
finite probability of occurring. Instead, continuous random variables almost never take an exact prescribed value c (formally, ∀ c ∈ R : Pr ( X = c ) = 0
Random_variable
Probability puzzle
The Monty Hall problem is a brain teaser, in the form of a probability puzzle, based nominally on the American television game show Let's Make a Deal
Monty_Hall_problem
Probability distribution
In probability theory and statistics, the exponential distribution or negative exponential distribution is the probability distribution of the distance
Exponential_distribution
Concept in probability theory
of probability or classical interpretation of probability is identified with the works of Jacob Bernoulli and Pierre-Simon Laplace: The probability of
Classical definition of probability
Classical_definition_of_probability
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)
Derivation of the laws of probability theory
laws of probability theory from a certain set of postulates. This derivation justifies the so-called "logical" interpretation of probability, as the laws
Cox's_theorem
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
Average uncertainty in variable's states
'C' as '10', and 'D' as '11'. However, if the probabilities of each letter are unequal, say 'A' occurs with 70% probability, 'B' with 26%, and 'C' and
Entropy_(information_theory)
Form of entropy encoding used in data compression
the simplest case, the probability of each symbol occurring is equal. For example, consider a set of three symbols, A, B, and C, each equally likely to
Arithmetic_coding
Type of probability distribution
probability distribution is a probability distribution—an assignment of probabilities to possible occurrences—which is unchanged when its probability
Symmetric probability distribution
Symmetric_probability_distribution
Discrete probability distribution
In probability theory and statistics, the hypergeometric distribution is a discrete probability distribution that describes the probability of k {\displaystyle
Hypergeometric_distribution
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
Class of distance functions defined between probability distributions
In probability theory, integral probability metrics are types of distance functions between probability distributions, defined by how well a class of functions
Integral_probability_metric
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)
Probability distribution
distribution. The probability density function of the Lévy distribution over the domain x ≥ μ {\displaystyle x\geq \mu } is f ( x ; μ , c ) = c 2 π e − c 2 ( x −
Lévy_distribution
In probability theory, the probability distribution of the sum of two or more independent random variables is the convolution of their individual distributions
List of convolutions of probability distributions
List_of_convolutions_of_probability_distributions
Bet sizing formula for long-term growth
In probability theory, the Kelly criterion (or Kelly strategy or Kelly bet) is a formula for risk allocation with the sizing a sequence of bets by maximizing
Kelly_criterion
Probability distribution
In probability theory, an indecomposable distribution is a probability distribution that cannot be represented as the distribution of the sum of two or
Indecomposable_distribution
Purely statistical model of language
language model is a statistical model of language which calculates the probability of the next word in a sequence from a fixed size window of previous words
Word_n-gram_language_model
Probabilistic classification algorithm
conditional probability can be decomposed as: p ( C k ∣ x ) = p ( C k ) p ( x ∣ C k ) p ( x ) {\displaystyle p(C_{k}\mid \mathbf {x} )={\frac {p(C_{k})\ p(\mathbf
Naive_Bayes_classifier
Probability distribution
In probability theory and statistics, the negative binomial distribution, also called a Pascal distribution, is a discrete probability distribution that
Negative binomial distribution
Negative_binomial_distribution
Principle of quantum mechanics
in Dirac notation weighted by the two probability amplitudes c 0 {\displaystyle c_{0}} and c 1 {\displaystyle c_{1}} that both are complex numbers. Here
Quantum_superposition
Mathematical concept
functions are commonly used in the convergence of probability measures. C c ( X ) {\displaystyle C_{c}(X)} the class of continuous functions f {\displaystyle
Convergence_of_measures
Ballistics measure of a weapon system's precision
Circular error probable (CEP), also circular error probability or circle of equal probability, is a measure of a weapon system's precision in the military
Circular_error_probable
Operator in probability theory
In probability theory, for a probability measure P on a Hilbert space H with inner product ⟨ ⋅ , ⋅ ⟩ {\displaystyle \langle \cdot ,\cdot \rangle } , the
Covariance_operator
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
Statistical Markov model
In probability theory, a hidden Markov model (HMM) is a Markov model in which the observations are dependent on a latent (or hidden) Markov process (referred
Hidden_Markov_model
Uniform distribution on an interval
In probability theory and statistics, the continuous uniform distributions or rectangular distributions are a family of symmetric probability distributions
Continuous uniform distribution
Continuous_uniform_distribution
Statistical theorem
Condorcet's jury theorem is a statistical theorem about the probability of a given group of individuals arriving at a correct decision. The theorem was
Condorcet's_jury_theorem
Measure of the accuracy of probabilistic predictions
as applied to predicted probabilities. The Brier score is applicable to tasks in which predictions must assign probabilities to a set of mutually exclusive
Brier_score
American heavy military transport aircraft
000 lb (100,000 to 86,000 kg). At the time it was predicted, with a 90% probability, that no more than 10% of the fleet of 79 airframes would reach their
Lockheed_C-5_Galaxy
Probability distribution that has the most entropy of a class
maximum entropy probability distribution has entropy that is at least as great as that of all other members of a specified class of probability distributions
Maximum entropy probability distribution
Maximum_entropy_probability_distribution
Statistical significance test
and the probability there are exactly c {\textstyle c} of red class I balls is ( c + d c ) p c ( 1 − p ) d {\textstyle {\binom {c+d}{c}}p^{c}(1-p)^{d}}
Fisher's_exact_test
Comparison of a wide range of probabilities
This page lists events in order of increasing probability, grouped by orders of magnitude. These probabilities were calculated given assumptions detailed
Orders of magnitude (probability)
Orders_of_magnitude_(probability)
Problem in probability theory
In probability theory, the coupon collector's problem refers to mathematical analysis of "collect all coupons and win" contests. It asks the following
Coupon_collector's_problem
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
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
Topic in probability theory and statistics
In probability theory and statistics, there are several relationships among probability distributions. These relations can be categorized in the following
Relationships among probability distributions
Relationships_among_probability_distributions
Financial term
Probability of default (PD) is a financial term describing the likelihood of a default over a particular time horizon. It provides an estimate of the
Probability_of_default
Common communications channel model
receiver will receive a bit. The bit will be "flipped" with a "crossover probability" of p, and otherwise is received correctly. This model can be applied
Binary_symmetric_channel
C PROBABILITY
C PROBABILITY
Surname or Lastname
English
English : from the Old English personal name Beadurīc, composed of the elements beadu ‘battle’ + rīc ‘power’.
Surname or Lastname
English
English : from Old English Cynerīc ‘family ruler’.
Girl/Female
American, British, English
Initials J and C Combined; Based on the Initials J C or an Abbreviation of Jacinda
Male
Vietnamese
Vietnamese name ̇ȬC means "desire."
Boy/Male
American, Australian
From the Initials J C
Male
Irish
Old Irish Gaelic name MAEL-MAEDÓC means "devotee of Maedóc."
Boy/Male
Shakespearean
King Henry IV, Part 1' Earl of March. Scroop.
Girl/Female
American, British, English
A Combination of Initials K and C; Alert; Vigorous
Male
Irish
Old Irish name MAEDÓC means "my dear Ãedh."
Male
Czechoslovakian
, fiery.
Surname or Lastname
English
English : unexplained.Thomas Broadnax (c.1586–c.1658) came from Godmersham, Kent, England, to VA in the early 17th century.
Girl/Female
American, Australian, Greek
Hyacinth Flower; Healer; Beautiful; Initials J and C Combined
Girl/Female
American, British, English, Gaelic, Irish
A Combination of Initials K and C; Alert; Vigorous; Watchful
Girl/Female
American, Australian, British, English
Initials J and C Combined; Based on the Initials J C or an Abbreviation of Jacinda
Girl/Female
American, Australian, British, English
Initials J and C Combined; Jaybird; Based on the Initials J C or an Abbreviation of Jacinda; A Blue; Crested Bird
Boy/Male
American, British, English
Attractive; From the Initials J C
Male
Czechoslovakian
, good-worker.
Male
English
Anglicized form of Old Irish Mael-Maedóc, MARMADUKE means "devotee of Maedóc."
Girl/Female
American, British, English, Gaelic, Irish
A Combination of Initials K and C; Alert; Watchful; Vigorous
Male
Hungarian
Czech and Hungarian form of Latin Ignatius, possibly IGNÃC means "unknowing."
C PROBABILITY
C PROBABILITY
Boy/Male
American, British, English
Grain Fans
Girl/Female
Hindu, Indian
Cradle
Girl/Female
Muslim
Full of dew
Girl/Female
Indian
Victory
Surname or Lastname
English
English : habitational name from any of the numerous minor places, for example in Devon, Gloucestershire, and Oxfordshire, named Cleeve or Cleve ‘(place) at the cliff’, from the dative case clife of Old English clif ‘slope’, ‘cliff’. Compare Cliff.Americanized spelling of Kleve.
Boy/Male
German Teutonic
Brave.
Girl/Female
Muslim
Present, Gift
Boy/Male
Indian
Challenge Person
Girl/Female
Hindu
Female
English
Variant spelling of English Tirzah, THYRZA means "pleasantness."Â
C PROBABILITY
C PROBABILITY
C PROBABILITY
C PROBABILITY
C PROBABILITY
n.
A small South American deer, of several species (Coassus superciliaris, C. rufus, and C. auritus).
n.
Any species of the genus Cornus, as C. florida, the flowering cornel; C. stolonifera, the osier cornel; C. Canadensis, the dwarf cornel, or bunchberry.
a.
Major; in the major mode; as, C dur, that is, C major.
n.
Other species of Cabus, as C. fatuellus (the brown or horned capucine.), C. albifrons (the cararara), and C. apella.
v.
and derivatives. See Behoove, &c.
n.
See Jack, 8 (c).
n.
A trivalent hydrocarbon radical, CH3.C.
n.
Bill of an anchor. See Peak, 3 (c).
n.
A climbing species of Clematis (C. Vitalba).
n.
A species of bindweed or Convolvulus (C. Scammonia).
a.
Having a barklike c/nenchyms.
n.
An A-B-C book; a primer.
n.
The jack. See 2d Jack, 8. (c).
superl.
Raised a semitone in pitch; as, C sharp (C/), which is a half step, or semitone, higher than C.