Posterior conditional probabilities also allow us to express the relative probability of one hypothesis compared to another. In the case that some evidence E gives hypothesis A a much higher probability than hypothesis B, Bayesians express that fact symbolically as P(A | E) >> P(B | E). In Bayesian probability, formulas allow philosophers and scientists to calculate how likely a hypothesis is to be true (i.e., the probability of a hypothesis given the evidence) if they can estimate how much we ought to expect the evidence in question (i.e., the probability of the evidence) given the
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