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...

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

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

distributions of each of the individual random variables and the conditional probability distributions, which deal with how the outputs of one random variable...

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

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

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

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

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

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...

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

events. These distributions may apply to unobservable events or conditional probabilities. In 1942, Paul Dirac wrote a paper "The Physical Interpretation...

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

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

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

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

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...

In probability theory and statistics, a conditional variance is the variance of a random variable given the value(s) of one or more other variables. Particularly...

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

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...

The standard probability axioms are the foundations of probability theory introduced by Russian mathematician Andrey Kolmogorov in 1933. These axioms...

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

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

{\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...

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

is formalized in probability theory by conditioning. Conditional probabilities, conditional expectations, and conditional probability distributions are...

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...

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

family of subsets. For the standard tools of probability theory, such as joint and conditional probabilities, to work, it is necessary to use a σ-algebra...