lukstafi comments on What Bayesianism taught me - Less Wrong
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I'd just like to note that Bayes' Rule is one of the first and simplest theorems you prove in introductory statistics classes after you have written down the preliminary definitions/axioms of probability. It's literally taught and expected that you are comfortable using it after the first or second week of classes.
I'd like to add that if the curriculum has a distinction between "probability" and "statistics", it is taught in the "probability" class. Much later, the statistics class has "frequentist" part and "bayesian" part.