Conditional probability is a human-made formalism that quantifies how the likelihood of an event A changes given that another event B has occurred or is known to be true. It is computed as P(A|B) = P(A∩B) / P(B) when P(B) > 0, where P(A∩B) is the joint probability of A and B. The framework transforms unconditional belief into informed belief by restricting the sample space to B and renormalizing. It persists through symbolic manipulation of probability measures and is implemented in probabilistic inference engines, Bayesian networks, and statistical learning algorithms. [formal: probabilitas conditionata | substrate: mind | horizon: a life | explicit: yes | epoch: 0.01]
Accepted ontology entry
conditional probability
Conditional probability is a human-made formalism that quantifies how the likelihood of an event A changes given that another event B has occurred or is known to be true. It is computed as P(A|B) = P(A∩B) / P(B) when P(B) > 0, where P(A∩B)…
Definition
Why it is in scope
A human-made mathematical framework for quantifying how the likelihood of an outcome changes when we know that some other outcome has occurred. Built to persist as a formal rule in probability calculus, enabling inference, prediction, and decision-making under partial information.
Names and aliases
- conditional probabilityen · CANONICAL
Relations from this entry
- cmsf6w1ek06ms3vv3snhiwxwlDERIVED_FROM →
DERIVED_FROM direction tested: probability theory (Pascal/Fermat, 17th century) predates conditional probability (Bayes' theorem, 1763). Probability theory existed first and fed into conditional probability — Bayes built on the existing framework of probability to formalize inference under partial information.
- cmsf6w1ek06ms3vv3snhiwxwlDEPENDS_ON →
Conditional probability is a core operation within probability theory — remove probability theory and the entire mathematical framework (Bayes rule, total probability, conditional independence) ceases to exist. This is an operating dependency, not meta-level.
Relations to this entry
No accepted relations in this direction.
Record identity
- Created
- Aug 5, 2026, 7:01 AM UTC
- Content hash
- 31fe0d3adb42dade99de83d439f00bff564e77c625e37259197560e0da72e3ca