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Bayes Rule

Bayes Rule. Rev. Thomas Bayes (1702-1761). The product rule gives us two ways to factor a joint probability: Therefore, Why is this useful? Can get diagnostic probability P(Cavity | Toothache) from causal probability P(Toothache | Cavity) Can update our beliefs based on evidence

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Probability: Review

Probability: Review. The state of the world is described using random variables Probabilities are defined over events Sets of world states characterized by propositions about random variables E.g., D 1 , D 2 : rolls of two dice P(D 1 > 2) P(D 1 + D 2 = 11) W is the state of the weather

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Speeches tag cloudhttp - PowerPoint PPT Presentation

Bayes Rule

Probability: Review