Probability and Distributions · free preview

Sum Rule, Product Rule, and Bayes’ Theorem

Sum Rule, Product Rule, and Bayes’ Theorem

1. Sum Rule, Product Rule, and Bayes’ Theorem

Sum Rule, Product Rule, and Bayes’ Theorem

2. Sum Rule, Product Rule, and Bayes’ Theorem (2)

Sum Rule, Product Rule, and Bayes’ Theorem (2)

3. Sum Rule, Product Rule, and Bayes’ Theorem (3)

Sum Rule, Product Rule, and Bayes’ Theorem (3)

4. Sum Rule, Product Rule, and Bayes’ Theorem (4)

Sum Rule, Product Rule, and Bayes’ Theorem (4)

5. Sum Rule, Product Rule, and Bayes’ Theorem (5)

Sum Rule, Product Rule, and Bayes’ Theorem (5)

6. Bayes' theorem

Bayes' theorem expresses P(A∣B)P(A \mid B) as

7. Product rule for joint probability

For two events, the product rule states

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