Bayesian probability is an interpretation of probability in which 
represents the plausibility of an event 
conditional on available information 
. The assignments obey the probability
axioms. When new data 
are obtained with 
, Bayes' theorem
gives the update
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The uncertainty represented by 
may concern an event, an unknown
parameter, or a hypothesis.
Using such assignments to draw conclusions from observed data gives Bayesian
inference.
