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- Conditional_probability abstract "In probability theory, a conditional probability measures the probability of an event given that (by assumption, presumption, assertion or evidence) another event has occurred. If the event of interest is A and the event B is known or assumed to have occurred, "the conditional probability of A given B", or "the probability of A under the condition B", is usually written as P(A|B), or sometimes PB(A). For example, the probability that any given person has a cough on any given day may be only 5%. But if we know or assume that the person has a cold, then they are much more likely to be coughing. The conditional probability of coughing given that you have a cold might be a much higher 75%.The concept of conditional probability is one of the most fundamental and one of the most important concepts in probability theory. But conditional probabilities can be quite slippery and require careful interpretation. For example, there need not be a causal or temporal relationship between A and B.P(A|B) may or may not be equal to P(A) (the unconditional probability of A). If P(A|B) = P(A), then A and B are said to be independent. Also, in general, P(A|B) (the conditional probability of A given B) is not equal to P(B|A). For example, if you have cancer you might have a 90% chance of testing positive for cancer, but if you test positive for cancer you might have only a 10% chance of actually having cancer because cancer is very rare. Falsely equating the two probabilities causes various errors of reasoning such as the base rate fallacy. Conditional probabilities can be correctly reversed using Bayes' theorem.".
- Conditional_probability thumbnail Conditional_probability.svg?width=300.
- Conditional_probability wikiPageExternalLink the_conditional_fallacy_in_contemporary_philosophy.
- Conditional_probability wikiPageExternalLink conditional.
- Conditional_probability wikiPageID "24104134".
- Conditional_probability wikiPageLength "19539".
- Conditional_probability wikiPageOutDegree "61".
- Conditional_probability wikiPageRevisionID "679813347".
- Conditional_probability wikiPageWikiLink Base_rate_fallacy.
- Conditional_probability wikiPageWikiLink Base_rate_neglect.
- Conditional_probability wikiPageWikiLink Bayes_theorem.
- Conditional_probability wikiPageWikiLink Bayesian_probability.
- Conditional_probability wikiPageWikiLink Beg_a_question.
- Conditional_probability wikiPageWikiLink Beg_the_question.
- Conditional_probability wikiPageWikiLink Borel–Kolmogorov_paradox.
- Conditional_probability wikiPageWikiLink Bruno_de_Finetti.
- Conditional_probability wikiPageWikiLink Category:Conditionals.
- Conditional_probability wikiPageWikiLink Category:Logical_fallacies.
- Conditional_probability wikiPageWikiLink Category:Probability_theory.
- Conditional_probability wikiPageWikiLink Category:Statistical_ratios.
- Conditional_probability wikiPageWikiLink Category:Statistical_terminology.
- Conditional_probability wikiPageWikiLink Chain_rule_(probability).
- Conditional_probability wikiPageWikiLink Class_membership_probabilities.
- Conditional_probability wikiPageWikiLink Common_cold.
- Conditional_probability wikiPageWikiLink Conditional_expectation.
- Conditional_probability wikiPageWikiLink Conditional_probability_distribution.
- Conditional_probability wikiPageWikiLink Conditioning_(probability).
- Conditional_probability wikiPageWikiLink Conservatism_(Bayesian).
- Conditional_probability wikiPageWikiLink Conservatism_(belief_revision).
- Conditional_probability wikiPageWikiLink Continuous_random_variable.
- Conditional_probability wikiPageWikiLink Defined_and_undefined.
- Conditional_probability wikiPageWikiLink Dice.
- Conditional_probability wikiPageWikiLink Elementary_event.
- Conditional_probability wikiPageWikiLink Event_(probability_theory).
- Conditional_probability wikiPageWikiLink Expected_value.
- Conditional_probability wikiPageWikiLink F._Thomas_Bruss.
- Conditional_probability wikiPageWikiLink Franz_Thomas_Bruss.
- Conditional_probability wikiPageWikiLink Independence_(probability_theory).
- Conditional_probability wikiPageWikiLink Joint_probability_distribution.
- Conditional_probability wikiPageWikiLink Law_of_total_probability.
- Conditional_probability wikiPageWikiLink Measure_(mathematics).
- Conditional_probability wikiPageWikiLink Monty_Hall_problem.
- Conditional_probability wikiPageWikiLink Mutual_exclusivity.
- Conditional_probability wikiPageWikiLink Mutually_exclusive_events.
- Conditional_probability wikiPageWikiLink Partition_of_a_set.
- Conditional_probability wikiPageWikiLink Posterior_probability.
- Conditional_probability wikiPageWikiLink Probabilistic_classification.
- Conditional_probability wikiPageWikiLink Probability.
- Conditional_probability wikiPageWikiLink Probability_axioms.
- Conditional_probability wikiPageWikiLink Probability_distribution.
- Conditional_probability wikiPageWikiLink Probability_interpretations.
- Conditional_probability wikiPageWikiLink Probability_measure.
- Conditional_probability wikiPageWikiLink Probability_theory.
- Conditional_probability wikiPageWikiLink Quotient.
- Conditional_probability wikiPageWikiLink Random_variable.
- Conditional_probability wikiPageWikiLink Sample_space.
- Conditional_probability wikiPageWikiLink Selection_bias.
- Conditional_probability wikiPageWikiLink Sequela.
- Conditional_probability wikiPageWikiLink Sequelae.
- Conditional_probability wikiPageWikiLink Sigma-algebra.
- Conditional_probability wikiPageWikiLink Sigma_algebra.
- Conditional_probability wikiPageWikiLink Subjective_probability.
- Conditional_probability wikiPageWikiLink Well-defined.
- Conditional_probability wikiPageWikiLink File:Bayes_theorem_visualisation.svg.
- Conditional_probability wikiPageWikiLink File:Conditional_probability.svg.
- Conditional_probability wikiPageWikiLink File:Probability_tree_diagram.svg.
- Conditional_probability wikiPageWikiLink File:Venn_Pie_Chart_describing_Bayes_law.png.
- Conditional_probability wikiPageWikiLinkText "Bayesian logic".
- Conditional_probability wikiPageWikiLinkText "Conditional probability fallacy".
- Conditional_probability wikiPageWikiLinkText "Conditional probability".
- Conditional_probability wikiPageWikiLinkText "Conditional probability#Common fallacies".
- Conditional_probability wikiPageWikiLinkText "Conditional probability#Results".
- Conditional_probability wikiPageWikiLinkText "Conditional".
- Conditional_probability wikiPageWikiLinkText "by definition".
- Conditional_probability wikiPageWikiLinkText "condition".
- Conditional_probability wikiPageWikiLinkText "conditional density functions".
- Conditional_probability wikiPageWikiLinkText "conditional distribution".
- Conditional_probability wikiPageWikiLinkText "conditional event".
- Conditional_probability wikiPageWikiLinkText "conditional possibilities".
- Conditional_probability wikiPageWikiLinkText "conditional probabilities".
- Conditional_probability wikiPageWikiLinkText "conditional probability density function".
- Conditional_probability wikiPageWikiLinkText "conditional probability fallacy".
- Conditional_probability wikiPageWikiLinkText "conditional probability".
- Conditional_probability wikiPageWikiLinkText "conditional statistical possibilities".
- Conditional_probability wikiPageWikiLinkText "conditional".
- Conditional_probability wikiPageWikiLinkText "conditioned".
- Conditional_probability wikiPageWikiLinkText "conditioning".
- Conditional_probability wikiPageWikiLinkText "depending on the observed choice".
- Conditional_probability wikiPageWikiLinkText "given that".
- Conditional_probability wikiPageWikiLinkText "joint probability".
- Conditional_probability wikiPageWikiLinkText "marginal probability".
- Conditional_probability wikiPageWikiLinkText "marginal".
- Conditional_probability wikiPageWikiLinkText "marginalization".
- Conditional_probability wikiPageWikiLinkText "marginals".
- Conditional_probability wikiPageWikiLinkText "probabilistically conditioned".
- Conditional_probability wikiPageWikiLinkText "probability".
- Conditional_probability wikiPageWikiLinkText "response-conditional".
- Conditional_probability hasPhotoCollection Conditional_probability.
- Conditional_probability title "Conditional Probability".
- Conditional_probability urlname "ConditionalProbability".