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Bayes Theorem Intuition Basics

Update beliefs with simple Bayes

This guide builds intuition for Bayes' theorem: start with base rates, weigh how likely evidence is under different hypotheses, and update your belief using simple ratio thinking.

Start with base rates

Note how common the thing is before new evidence arrives.

Consider likelihoods

Ask how likely the evidence is if the hypothesis is true vs false.

Update simply

Posterior ? prior ? likelihood; use ratio thinking rather than exact formulas when possible.

Watch common traps

Beware ignoring base rates, over-trusting tests with false positives, and mixing up P(A|B) with P(B|A).

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