In probability theory, conditional probability is a measure of the probability of an event occurring, given that another event (by assumption, presumption...

In probability theory and statistics, the conditional probability distribution is a probability distribution that describes the probability of an outcome...

In probability theory, regular conditional probability is a concept that formalizes the notion of conditioning on the outcome of a random variable. The...

the conditional probability table (CPT) is defined for a set of discrete and mutually dependent random variables to display conditional probabilities of...

of events. Conditional probability is the probability of some event A, given the occurrence of some other event B. Conditional probability is written...

In probability theory, the conditional expectation, conditional expected value, or conditional mean of a random variable is its expected value evaluated...

In probability theory, conditional independence describes situations wherein an observation is irrelevant or redundant when evaluating the certainty of...

In probability theory, the law (or formula) of total probability is a fundamental rule relating marginal probabilities to conditional probabilities. It...

Bayes) gives a mathematical rule for inverting conditional probabilities, allowing one to find the probability of a cause given its effect. For example, if...

The posterior probability is a type of conditional probability that results from updating the prior probability with information summarized by the likelihood...

mapping of these to states. The Markov property states that the conditional probability distribution for the system at the next step (and in fact at all...

In mathematics and computer science, the method of conditional probabilities is a systematic method for converting non-constructive probabilistic existence...

In probability theory, particularly information theory, the conditional mutual information is, in its most basic form, the expected value of the mutual...

the joint probability function Pr ( G , S , R ) {\displaystyle \Pr(G,S,R)} and the conditional probabilities from the conditional probability tables (CPTs)...

of the other variables. This contrasts with a conditional distribution, which gives the probabilities contingent upon the values of the other variables...

In probability theory, a probability space or a probability triple ( Ω , F , P ) {\displaystyle (\Omega ,{\mathcal {F}},P)} is a mathematical construct...

variables, and the conditional probability distribution giving the probabilities for any subset of the variables conditional on particular values of the...

often is also used for conditional independence) if and only if their joint probability equals the product of their probabilities:: p. 29 : p. 10  A ∩ B...

Y Conditional probability, the probability of an event A given that another event B Conditional proof, in logic: a proof that asserts a conditional, and...

of an observation x. A discriminative model is a model of the conditional probability P ( Y ∣ X = x ) {\displaystyle P(Y\mid X=x)} of the target Y, given...

Berkson's bias, collider bias, or Berkson's fallacy, is a result in conditional probability and statistics which is often found to be counterintuitive, and...

The axioms of probability Boole's inequality Probability interpretations Bayesian probability Frequency probability Conditional probability The law of total...

open by the host. Many probability text books and articles in the field of probability theory derive the conditional probability solution through a formal...

Intuitively, notice that by definition of expected value and of conditional probability, H ( Y | X ) {\displaystyle \displaystyle H(Y|X)} can be written...

Schmidhuber, the anthropic principle essentially just says that the conditional probability of finding yourself in a universe compatible with your existence...

In probability theory, the Borel–Kolmogorov paradox (sometimes known as Borel's paradox) is a paradox relating to conditional probability with respect...

respectively, using conditional probabilities. This rule allows one to express a joint probability in terms of only conditional probabilities. The rule is notably...

Random field Conditional random field Borel–Cantelli lemma Wick product Conditioning (probability) Conditional expectation Conditional probability distribution...

{\displaystyle 1/4+1/2=3/4,} as in the diagram on the right. The conditional probability based on the intersection of events defined as: μ ( B ∣ A ) = μ...

form of conditional expectation. It is important to note that the property of being a martingale involves both the filtration and the probability measure...